Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze67.0ms (1.1%)

Memory

17.2MiB live, 60.5MiB allocated; 17ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

sample1.7s (27.7%)

Memory

47.9MiB live, 1 686.6MiB allocated; 582ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

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

ival-mult: 407.0ms (39.7% of total)

const: 145.0ms (14.2% of total)

ival-<=: 106.0ms (10.3% of total)

ival-sub: 85.0ms (8.3% of total)

ival-log: 84.0ms (8.2% of total)

ival-div: 57.0ms (5.6% of total)

ival-add: 52.0ms (5.1% of total)

ival-pi: 46.0ms (4.5% of total)

ival-and: 25.0ms (2.4% of total)

exact: 11.0ms (1.1% of total)

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain181.0ms (3%)

Memory

-15.8MiB live, 362.6MiB allocated; 60ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

53.0ms

512×

valid

Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions

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

ival-mult: 15.0ms (46.5% of total)

ival-log: 6.0ms (18.6% of total)

ival-div: 3.0ms (9.3% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess132.0ms (2.2%)

Memory

6.8MiB live, 138.2MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs alpha)

(abs cosTheta)

Compiler

Compiled 24 to 13 computations (45.8% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

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

series136.0ms (2.3%)

Memory

2.1MiB live, 108.7MiB allocated; 40ms collecting garbage

Counts

13 → 58

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
86.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
21.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
11.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
9.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
4.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)

simplify166.0ms (2.8%)

Memory

1.2MiB live, 148.1MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	1677
1	697	1619
2	3087	1494
0	8353	1431

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

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

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

rewrite162.0ms (2.7%)

Memory

-17.4MiB live, 258.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	91
0	23	91
1	101	91
2	818	87
0	8847	77

Stop Event

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

Counts

13 → 710

Calls

Call 1

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

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

eval145.0ms (2.4%)

Memory: 42.1MiB live, 266.2MiB allocated; 31ms collecting garbage
Compiler: Compiled 32 429 to 3 536 computations (89.1% saved)

prune155.0ms (2.6%)

Memory

-74.2MiB live, 179.5MiB allocated; 140ms collecting garbage

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	912	24	936
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	913	24	937

Accuracy

99.9%

Counts

937 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
	98.3%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	97.7%	(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.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 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
	52.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (log.f32 alpha) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha))) #s(literal 2 binary32))))
	48.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) (neg.f32 cosTheta) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (/.f32 (PI.f32) (.f32 alpha alpha)))))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.0%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha))) (.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	95.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	67.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))

Compiler

Compiled 1 680 to 1 002 computations (40.4% saved)

simplify0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

series213.0ms (3.6%)

Memory

30.5MiB live, 314.5MiB allocated; 50ms collecting garbage

Counts

46 → 162

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))))
(pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(PI.f32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.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 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 (*.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha)))
(log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))
(.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha)
(*.f32 (sqrt.f32 alpha) (sqrt.f32 alpha))
(sqrt.f32 alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))
(+.f32 #s(literal 1 binary32) alpha)
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)
(fma.f32 alpha alpha #s(literal 1 binary32))
(.f32 (.f32 (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
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (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) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(log (pow (pow alpha 2) (PI)))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
(pow (pow alpha 2) (PI))
(+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* cosTheta (- (pow alpha 2) 1))
cosTheta
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(/ (- (pow alpha 2) 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)))))
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(pow cosTheta 2)
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))
(+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 2))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))
(+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 3))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 2)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))
(+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 4))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))) (* -1 (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 3)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))))) (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 2)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))
(/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))
(* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))
(exp (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2))))
(/ 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))
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(- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))))
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))) (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))) (pow alpha 2))))
(* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))
(+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))
(* -1 (* (pow alpha 2) (pow (sqrt -1) 2)))
(* -1 (* alpha (pow (sqrt -1) 2)))
(* -1 (* (sqrt alpha) (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (pow alpha 5))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 5) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ 1/2 (* (pow alpha 5) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) 1)))
(* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) (+ 1 (/ 1 (pow alpha 3))))))
(* -1 (* (pow alpha 5) (- (+ (* -1 (/ (- 1 (/ 1 (pow alpha 2))) (pow alpha 3))) (/ 1 (pow alpha 2))) 1)))
(* (pow alpha 2) (+ 1 (* -1 (/ (- 1 (/ 1 alpha)) alpha))))

Calls

6 calls:

Time	Variable		Point	Expression
66.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0) 0 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (+ (pow alpha 3) 1) (pow alpha 3) 3 (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha)) (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
62.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0) 0 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (+ (pow alpha 3) 1) (pow alpha 3) 3 (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha)) (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
31.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0) 0 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (+ (pow alpha 3) 1) (pow alpha 3) 3 (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha)) (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
20.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0) 0 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (+ (pow alpha 3) 1) (pow alpha 3) 3 (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha)) (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
16.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0) 0 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (+ (pow alpha 3) 1) (pow alpha 3) 3 (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha)) (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

simplify201.0ms (3.4%)

Memory

14.6MiB live, 194.9MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	793	6467
1	2634	5700
0	8705	5550

Stop Event

1×	iter limit
1×	node limit

Counts

162 → 160

Calls

Call 1

Inputs
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (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) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(log (pow (pow alpha 2) (PI)))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
(pow (pow alpha 2) (PI))
(+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* cosTheta (- (pow alpha 2) 1))
cosTheta
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(/ (- (pow alpha 2) 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)))))
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(pow cosTheta 2)
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))
(+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 2))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))
(+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 3))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 2)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))
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(* (pow alpha 2) (- 1 (/ 1 alpha)))
(* (pow alpha 2) (- (+ 1 (/ 1 (pow alpha 2))) (/ 1 alpha)))
(* (pow alpha 2) (+ 1 (/ 1 (pow alpha 2))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (log (/ -1 alpha)))
(/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))
(- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))))
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))) (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))) (pow alpha 2))))
(* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))
(+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))
(* -1 (* (pow alpha 2) (pow (sqrt -1) 2)))
(* -1 (* alpha (pow (sqrt -1) 2)))
(* -1 (* (sqrt alpha) (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (pow alpha 5))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 5) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ 1/2 (* (pow alpha 5) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) 1)))
(* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) (+ 1 (/ 1 (pow alpha 3))))))
(* -1 (* (pow alpha 5) (- (+ (* -1 (/ (- 1 (/ 1 (pow alpha 2))) (pow alpha 3))) (/ 1 (pow alpha 2))) 1)))
(* (pow alpha 2) (+ 1 (* -1 (/ (- 1 (/ 1 alpha)) alpha))))

Outputs
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (PI.f32) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 alpha alpha))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(fma.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 3 binary32))) (/.f32 (.f32 #s(literal 1/24 binary32) (.f32 #s(literal 0 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32)))) (.f32 (neg.f32 (PI.f32)) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 alpha alpha))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(fma.f32 (fma.f32 (-.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 (neg.f32 (PI.f32)) (/.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 3 binary32))) (/.f32 (.f32 #s(literal 1/24 binary32) (.f32 #s(literal 0 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 0 binary32)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1/720 binary32) (.f32 (.f32 (PI.f32) (/.f32 (.f32 (.f32 #s(literal 0 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32))) (log.f32 (.f32 alpha alpha))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 3 binary32)))) #s(literal -1/24 binary32))))) (fma.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 3 binary32))) (/.f32 (.f32 #s(literal 1/24 binary32) (.f32 #s(literal 0 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta) (.f32 (neg.f32 (PI.f32)) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 alpha alpha))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(log (pow (pow alpha 2) (PI)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
(fma.f32 (fma.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (PI.f32) #s(literal 0 binary32)) (.f32 cosTheta cosTheta) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (PI.f32))) (.f32 cosTheta cosTheta) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(pow (pow alpha 2) (PI))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (.f32 alpha alpha) (PI.f32)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) (PI.f32))) (.f32 cosTheta cosTheta) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (pow.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 1/6 binary32))) (.f32 cosTheta cosTheta) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) (PI.f32))) (.f32 cosTheta cosTheta) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(PI)
(PI.f32)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(fma.f32 (.f32 (PI.f32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 cosTheta cosTheta) (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(* cosTheta (- (pow alpha 2) 1))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (NAN.f32) (PI.f32)))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(fma.f32 (-.f32 (.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (NAN.f32)) (/.f32 (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (NAN.f32)) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32)))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(fma.f32 (-.f32 (.f32 (fma.f32 (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (NAN.f32))) (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (PI.f32)) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (NAN.f32)) (PI.f32))) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (NAN.f32)) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32)))
(* (NAN) (PI))
(*.f32 (NAN.f32) (PI.f32))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (NAN.f32) (PI.f32)))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
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(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(.f32 (.f32 #s(literal -2 binary32) (fma.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)))) (*.f32 alpha alpha))
(* -2 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (fma.f32 cosTheta cosTheta (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 alpha alpha))) (.f32 alpha alpha))
(pow alpha 5)
(pow.f32 alpha #s(literal 5 binary32))
(* (pow alpha 5) (- 1 (/ 1 (pow alpha 2))))
(.f32 (pow.f32 alpha #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))))
(* (pow alpha 5) (- (+ 1 (/ 1 (pow alpha 3))) (/ 1 (pow alpha 2))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (pow.f32 alpha #s(literal 5 binary32)))
(* (pow alpha 5) (- (+ 1 (/ 1 (pow alpha 3))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 5)))))
(.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 5 binary32)))) (pow.f32 alpha #s(literal 5 binary32)))
(* (pow alpha 3) (+ 1 (/ 1 (pow alpha 3))))
(+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))
(* alpha (+ 1 (/ 1 alpha)))
(+.f32 #s(literal 1 binary32) alpha)
(* (pow alpha 2) (- 1 (/ 1 alpha)))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) (.f32 alpha alpha))
(* (pow alpha 2) (- (+ 1 (/ 1 (pow alpha 2))) (/ 1 alpha)))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha alpha))
(* (pow alpha 2) (+ 1 (/ 1 (pow alpha 2))))
(fma.f32 alpha alpha #s(literal 1 binary32))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(/.f32 #s(literal -1/2 binary32) (.f32 (.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)))))) (+ (* -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 #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 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.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 (pow.f32 alpha #s(literal 4 binary32)) (.f32 cosTheta cosTheta))) (/.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 #s(literal 1/2 binary32) (.f32 (.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 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.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 (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))))) (-.f32 (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 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.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 (pow.f32 alpha #s(literal 4 binary32)) (.f32 cosTheta cosTheta))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (.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 #s(literal -2 binary32) (fma.f32 (/.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) alpha) (/.f32 (PI.f32) alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 alpha alpha))
(* -2 (* (PI) (log (/ -1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)) (PI.f32)))
(- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))))
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)) (PI.f32)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)))))
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))))))))
(-.f32 (+.f32 (/.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 (pow.f32 cosTheta #s(literal 8 binary32)) (PI.f32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)) (PI.f32)))) (+.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32))))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))))
(.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32))) (*.f32 alpha alpha))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))) (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))) (pow alpha 2))))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)) alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)))) (*.f32 alpha alpha))
(* (PI) (+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha)))))
(*.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32)) (PI.f32))
(+ (log (* -1 (pow (sqrt -1) 2))) (* -2 (log (/ -1 alpha))))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32) #s(literal 0 binary32))
(* -1 (* (pow alpha 2) (pow (sqrt -1) 2)))
(*.f32 alpha alpha)
(* -1 (* alpha (pow (sqrt -1) 2)))
alpha
(* -1 (* (sqrt alpha) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 alpha) #s(literal 1 binary32))
(- (+ (* -1 (/ (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (pow alpha 5))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 5) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ 1/2 (* (pow alpha 5) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(-.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.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))))) (pow.f32 alpha #s(literal 5 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 5 binary32))) (/.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) (pow.f32 alpha #s(literal 5 binary32))) (/.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 (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 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.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 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 cosTheta cosTheta))))))
(* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) 1)))
(.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32))) (pow.f32 alpha #s(literal 5 binary32)))
(* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) (+ 1 (/ 1 (pow alpha 3))))))
(.f32 (neg.f32 (pow.f32 alpha #s(literal 5 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32)))))
(* -1 (* (pow alpha 5) (- (+ (* -1 (/ (- 1 (/ 1 (pow alpha 2))) (pow alpha 3))) (/ 1 (pow alpha 2))) 1)))
(.f32 (neg.f32 (pow.f32 alpha #s(literal 5 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (pow.f32 alpha #s(literal 3 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) #s(literal 1 binary32))))
(* (pow alpha 2) (+ 1 (* -1 (/ (- 1 (/ 1 alpha)) alpha))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (.f32 alpha alpha))

rewrite54.0ms (0.9%)

Memory

-28.1MiB live, 16.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	436
0	88	436

Stop Event

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

Counts

46 → 50

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))))
(pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(PI.f32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.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 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 (*.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha)))
(log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))
(.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha)
(*.f32 (sqrt.f32 alpha) (sqrt.f32 alpha))
(sqrt.f32 alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))
(+.f32 #s(literal 1 binary32) alpha)
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)
(fma.f32 alpha alpha #s(literal 1 binary32))
(.f32 (.f32 (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)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))))
(pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
#s(literal -1 binary32)
(PI.f32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(+.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.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 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 (*.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha)))
(log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))
(.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha)
(*.f32 (sqrt.f32 alpha) (sqrt.f32 alpha))
(sqrt.f32 alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))
(+.f32 #s(literal 1 binary32) alpha)
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)
(fma.f32 alpha alpha #s(literal 1 binary32))
(+.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)))

eval40.0ms (0.7%)

Memory: 18.0MiB live, 60.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 15 549 to 1 253 computations (91.9% saved)

prune68.0ms (1.1%)

Memory

-18.6MiB live, 94.2MiB allocated; 40ms collecting garbage

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	324	17	341
Fresh	2	17	19
Picked	4	1	5
Done	0	0	0
Total	330	35	365

Accuracy

100.0%

Counts

365 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
	98.3%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha #s(literal 1 binary32)) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	87.1%	(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) alpha) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (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 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (.f32 (neg.f32 (pow.f32 alpha #s(literal 5 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (pow.f32 alpha #s(literal 3 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32))))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))) (+.f32 #s(literal 1 binary32) #s(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
	52.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
	49.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (PI.f32)))))
▶	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (*.f32 alpha alpha))))))
	95.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (log.f32 alpha) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha))) #s(literal 2 binary32))))
	48.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) (neg.f32 cosTheta) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (/.f32 (PI.f32) (.f32 alpha alpha)))))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
	98.0%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
▶	98.4%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
▶	97.9%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.2%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
	94.8%	#s(approx (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 #s(literal 1 binary32) alpha)))))
	95.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	97.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha))) (.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	95.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	67.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
	98.3%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	67.1%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	97.7%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))) (*.f32 alpha alpha)))

Compiler

Compiled 2 774 to 1 650 computations (40.5% saved)

simplify0.0ms (0%)

Memory: 1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

series166.0ms (2.8%)

Memory

-22.5MiB live, 357.0MiB allocated; 46ms collecting garbage

Counts

50 → 184

Calls

Call 1

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

Outputs
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (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) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(log (pow (pow alpha 2) (PI)))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
(pow (pow alpha 2) (PI))
(+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* cosTheta (- (pow alpha 2) 1))
cosTheta
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))
(* 2 (* (PI) (log alpha)))
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))
(* 2 (PI))
(+ (* 2 (PI)) (* 2 (* (pow cosTheta 2) (* (PI) (- (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)))))
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(+ (PI) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (- 1 (/ 1 (pow alpha 2)))))))
(/ (PI) (pow alpha 2))
(+ (* (pow cosTheta 2) (* (PI) (- 1 (/ 1 (pow alpha 2))))) (/ (PI) (pow alpha 2)))
(/ 1 (pow alpha 2))
(+ (* (pow cosTheta 2) (- 1 (/ 1 (pow alpha 2)))) (/ 1 (pow alpha 2)))
(+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2)))
(+ 1 (* -1 (pow cosTheta 2)))
(pow cosTheta 2)
(/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))
(* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))
(exp (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2))))
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))
(* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(* 2 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (- (pow alpha 2) 1))) (* 2 (/ (PI) (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))
(* (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) (- 1 (/ 1 (pow alpha 2))))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (- 1 (/ 1 (pow alpha 2))))) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (* (PI) (- 1 (/ 1 (pow alpha 2)))))
(* (pow cosTheta 2) (+ (* (PI) (- 1 (/ 1 (pow alpha 2)))) (/ (PI) (* (pow alpha 2) (pow cosTheta 2)))))
(* (pow cosTheta 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow cosTheta 2) (- (+ 1 (/ 1 (* (pow alpha 2) (pow cosTheta 2)))) (/ 1 (pow alpha 2))))
(* -1 (/ (pow cosTheta 2) (pow alpha 2)))
(* (pow cosTheta 2) (- (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow alpha 2))))
(* -1 (pow cosTheta 2))
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (* (pow alpha 2) (+ (* -1/96 (/ (+ (* -48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))) (* 48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2))))) (* (pow (PI) 2) (* (pow (log alpha) 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 (/ 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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-1
(- (pow alpha 2) 1)
(/ -1 (pow alpha 2))
(/ (- (pow alpha 2) 1) (pow alpha 2))
(pow alpha 2)
alpha
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(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
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(log alpha)
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(/ -1 alpha)
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(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))
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(* 2 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
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(* -1 (log (/ 1 alpha)))
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(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (log (/ -1 alpha)))

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* (- 1 (/ 1 (* alpha alpha))) (* alpha alpha)) (- 1 (/ 1 (* alpha alpha))) 1 (/ 1 (* alpha alpha)) (* alpha alpha) alpha (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (NAN) (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) 2 (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha) (* (- 1 (/ (/ 1 alpha) alpha)) alpha) (- 1 (/ (/ 1 alpha) alpha)) (/ (/ 1 alpha) alpha) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (* alpha alpha)) (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta))
32.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* (- 1 (/ 1 (* alpha alpha))) (* alpha alpha)) (- 1 (/ 1 (* alpha alpha))) 1 (/ 1 (* alpha alpha)) (* alpha alpha) alpha (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (NAN) (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) 2 (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha) (* (- 1 (/ (/ 1 alpha) alpha)) alpha) (- 1 (/ (/ 1 alpha) alpha)) (/ (/ 1 alpha) alpha) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (* alpha alpha)) (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta))
28.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* (- 1 (/ 1 (* alpha alpha))) (* alpha alpha)) (- 1 (/ 1 (* alpha alpha))) 1 (/ 1 (* alpha alpha)) (* alpha alpha) alpha (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (NAN) (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) 2 (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha) (* (- 1 (/ (/ 1 alpha) alpha)) alpha) (- 1 (/ (/ 1 alpha) alpha)) (/ (/ 1 alpha) alpha) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (* alpha alpha)) (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta))
27.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* (- 1 (/ 1 (* alpha alpha))) (* alpha alpha)) (- 1 (/ 1 (* alpha alpha))) 1 (/ 1 (* alpha alpha)) (* alpha alpha) alpha (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (NAN) (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) 2 (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha) (* (- 1 (/ (/ 1 alpha) alpha)) alpha) (- 1 (/ (/ 1 alpha) alpha)) (/ (/ 1 alpha) alpha) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (* alpha alpha)) (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta))
20.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (- (* alpha alpha) 1) (* (- 1 (/ 1 (* alpha alpha))) (* alpha alpha)) (- 1 (/ 1 (* alpha alpha))) 1 (/ 1 (* alpha alpha)) (* alpha alpha) alpha (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (PI) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (NAN) (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) 2 (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha) (* (- 1 (/ (/ 1 alpha) alpha)) alpha) (- 1 (/ (/ 1 alpha) alpha)) (/ (/ 1 alpha) alpha) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (* alpha alpha)) (* (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta))

simplify172.0ms (2.9%)

Memory

62.9MiB live, 288.0MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	6252
1	2537	5709
0	8943	5571

Stop Event

1×	iter limit
1×	node limit

Counts

184 → 182

Calls

Call 1

Inputs
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (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) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(log (pow (pow alpha 2) (PI)))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
(pow (pow alpha 2) (PI))
(+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* cosTheta (- (pow alpha 2) 1))
cosTheta
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))
(* 2 (* (PI) (log alpha)))
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))
(* 2 (PI))
(+ (* 2 (PI)) (* 2 (* (pow cosTheta 2) (* (PI) (- (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)))))
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(+ (PI) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (- 1 (/ 1 (pow alpha 2)))))))
(/ (PI) (pow alpha 2))
(+ (* (pow cosTheta 2) (* (PI) (- 1 (/ 1 (pow alpha 2))))) (/ (PI) (pow alpha 2)))
(/ 1 (pow alpha 2))
(+ (* (pow cosTheta 2) (- 1 (/ 1 (pow alpha 2)))) (/ 1 (pow alpha 2)))
(+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2)))
(+ 1 (* -1 (pow cosTheta 2)))
(pow cosTheta 2)
(/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))
(* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))
(exp (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2))))
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))
(* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))
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(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -1 (* alpha (- (/ 1 (pow alpha 2)) 1)))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (log (/ -1 alpha)))

Outputs
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (PI.f32) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 alpha alpha))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(fma.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 3 binary32))) (.f32 (/.f32 (.f32 #s(literal 0 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal 1/24 binary32))) (.f32 (neg.f32 (PI.f32)) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 alpha alpha))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(fma.f32 (fma.f32 (-.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 (neg.f32 (PI.f32)) (/.f32 (.f32 (.f32 (fma.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 3 binary32))) (.f32 (/.f32 (.f32 #s(literal 0 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal 1/24 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 0 binary32)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32)))) #s(literal 1/720 binary32) (.f32 (.f32 (PI.f32) (/.f32 (.f32 (.f32 #s(literal 0 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32))) (log.f32 (.f32 alpha alpha))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 3 binary32)))) #s(literal -1/24 binary32))))) (fma.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 3 binary32))) (.f32 (/.f32 (.f32 #s(literal 0 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal 1/24 binary32)))) (.f32 cosTheta cosTheta) (.f32 (neg.f32 (PI.f32)) (/.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 alpha alpha))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(log (pow (pow alpha 2) (PI)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
(fma.f32 (fma.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (PI.f32) (.f32 (.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/24 binary32))) (.f32 cosTheta cosTheta) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (PI.f32))) (.f32 cosTheta cosTheta) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(pow (pow alpha 2) (PI))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (.f32 alpha alpha) (PI.f32)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) (PI.f32))) (.f32 cosTheta cosTheta) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (log.f32 (.f32 alpha alpha)) #s(literal 2 binary32))) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (pow.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 1/6 binary32))) (.f32 cosTheta cosTheta) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) (PI.f32))) (.f32 cosTheta cosTheta) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(PI)
(PI.f32)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(* cosTheta (- (pow alpha 2) 1))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (NAN.f32) (PI.f32)))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(fma.f32 (-.f32 (.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (NAN.f32)) (/.f32 (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (NAN.f32)) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32)))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(fma.f32 (-.f32 (.f32 (fma.f32 (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (NAN.f32))) (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (PI.f32)) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (NAN.f32)) (PI.f32))) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (NAN.f32)) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32)))
(* (NAN) (PI))
(*.f32 (NAN.f32) (PI.f32))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (NAN.f32) (PI.f32)))
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))
(.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)))
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 alpha) (PI.f32)))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 cosTheta cosTheta)) (.f32 #s(literal -1/2 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta) (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))))
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(* 2 (* (PI) (log alpha)))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
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(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
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(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
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(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha)))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(-.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 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)) (neg.f32 (log.f32 alpha))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 cosTheta cosTheta))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha)))))
(- (+ (/ 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))) (neg.f32 (log.f32 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)) (neg.f32 (log.f32 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 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 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))) (neg.f32 (log.f32 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)) (neg.f32 (log.f32 alpha))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 cosTheta cosTheta))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))))
(* alpha (- 1 (/ 1 (pow alpha 2))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha)
(* -2 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) alpha) alpha)) (*.f32 alpha alpha))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (- 1 (pow cosTheta 2))) (pow alpha 2))))
(.f32 (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha))) (.f32 alpha alpha))
(* (pow cosTheta 2) (PI))
(.f32 (.f32 cosTheta cosTheta) (PI.f32))
(+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (- 1 (pow cosTheta 2))) (pow alpha 2)))
(.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)))
(- (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)) (/ (pow cosTheta 2) (pow alpha 2)))
(fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) alpha) alpha))
(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
(-.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 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))
(.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (.f32 alpha alpha)))) (*.f32 alpha alpha))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.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 (.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 (fma.f32 (neg.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 (pow.f32 alpha #s(literal 4 binary32)) (.f32 cosTheta cosTheta))) (/.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)))))
(- (+ (/ 1/2 (* (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 (pow.f32 alpha #s(literal 4 binary32)) (.f32 cosTheta cosTheta))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(* -1 (* alpha (- (/ 1 (pow alpha 2)) 1)))
(.f32 (neg.f32 alpha) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (.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 #s(literal -2 binary32) (fma.f32 (/.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) alpha) (/.f32 (PI.f32) alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 alpha alpha))
(* -2 (* (PI) (log (/ -1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))

rewrite22.0ms (0.4%)

Memory

-9.1MiB live, 35.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	593
0	106	593

Stop Event

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

Counts

50 → 53

Calls

Call 1

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

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

eval66.0ms (1.1%)

Memory: -34.0MiB live, 65.6MiB allocated; 36ms collecting garbage
Compiler: Compiled 16 543 to 1 338 computations (91.9% saved)

prune37.0ms (0.6%)

Memory

6.4MiB live, 94.1MiB allocated; 11ms collecting garbage

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	320	13	333
Fresh	12	17	29
Picked	3	2	5
Done	0	1	1
Total	335	33	368

Accuracy

100.0%

Counts

368 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
	97.8%	(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha #s(literal 1 binary32)) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	87.1%	(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) alpha) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.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))) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
	49.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
▶	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))) (+.f32 #s(literal 1 binary32) #s(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	52.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) #s(literal 2 binary32)) (log.f32 alpha)))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha))) (.f32 alpha alpha))) #s(literal 2 binary32)) (log.f32 alpha)))
	95.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) #s(approx (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))) (.f32 alpha alpha))))))
	97.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 #s(approx ( (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) (/.f32 (PI.f32) alpha))) (*.f32 alpha alpha))))))
▶	95.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
▶	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
	98.0%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	95.5%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
	97.3%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) #s(approx (log (pow ( alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (.f32 #s(literal 2 binary32) (PI.f32)))))
	94.9%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 #s(approx ( (- 1 (/ (/ 1 alpha) alpha)) alpha) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.2%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
	94.8%	#s(approx (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 #s(literal 1 binary32) alpha)))))
	95.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))))
	95.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	95.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	67.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
▶	98.3%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	67.1%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	97.9%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))) (*.f32 alpha alpha)))
	97.7%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))) (*.f32 alpha alpha)))

Compiler

Compiled 2 592 to 1 561 computations (39.8% saved)

simplify0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

series184.0ms (3.1%)

Memory

1.8MiB live, 287.9MiB allocated; 44ms collecting garbage

Counts

41 → 134

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (PI) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* -2 (PI)) (* (+ (* cosTheta cosTheta) -1) (log alpha))) (* -2 (PI)) -2 (* (+ (* cosTheta cosTheta) -1) (log alpha)) (+ (* cosTheta cosTheta) -1) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))
36.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (PI) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* -2 (PI)) (* (+ (* cosTheta cosTheta) -1) (log alpha))) (* -2 (PI)) -2 (* (+ (* cosTheta cosTheta) -1) (log alpha)) (+ (* cosTheta cosTheta) -1) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))
36.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (PI) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* -2 (PI)) (* (+ (* cosTheta cosTheta) -1) (log alpha))) (* -2 (PI)) -2 (* (+ (* cosTheta cosTheta) -1) (log alpha)) (+ (* cosTheta cosTheta) -1) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))
26.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (PI) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* -2 (PI)) (* (+ (* cosTheta cosTheta) -1) (log alpha))) (* -2 (PI)) -2 (* (+ (* cosTheta cosTheta) -1) (log alpha)) (+ (* cosTheta cosTheta) -1) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))
19.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (PI) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* -2 (PI)) (* (+ (* cosTheta cosTheta) -1) (log alpha))) (* -2 (PI)) -2 (* (+ (* cosTheta cosTheta) -1) (log alpha)) (+ (* cosTheta cosTheta) -1) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* (* (sqrt alpha) (sqrt alpha)) alpha))) (log (* (* (sqrt alpha) (sqrt alpha)) alpha)) (* (* (sqrt alpha) (sqrt alpha)) alpha) (* (sqrt alpha) (sqrt alpha)) (sqrt alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))

simplify181.0ms (3%)

Memory

33.3MiB live, 216.1MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	4402
1	1876	3862
0	8100	3731

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 132

Calls

Call 1

Inputs
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (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) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))
(/ (- (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)))))
(log (pow alpha 2))
(+ (log (pow alpha 2)) (* (pow cosTheta 2) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(pow cosTheta 2)
cosTheta
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(* 2 (* (PI) (log alpha)))
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))
(* -1 (log alpha))
(+ (* -1 (log alpha)) (* (pow cosTheta 2) (log alpha)))
-1
(- (pow cosTheta 2) 1)
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* -1 (pow cosTheta 2))
(* -1 cosTheta)
(log (pow (pow alpha 2) (PI)))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
(pow (pow alpha 2) (PI))
(+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))
(+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (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))
(* (pow cosTheta 2) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (log (pow alpha 2)) (- (pow alpha 2) 1)) (/ (log (pow alpha 2)) (pow cosTheta 2))))
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Outputs
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(*.f32 #s(literal 1 binary32) alpha)
(* -1 (* (sqrt alpha) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 alpha) #s(literal 1 binary32))

rewrite280.0ms (4.7%)

Memory

3.8MiB live, 290.0MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	480
0	98	432
1	390	432
2	2575	432
0	8944	432

Stop Event

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

Counts

41 → 984

Calls

Call 1

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

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

eval249.0ms (4.1%)

Memory: 16.3MiB live, 563.0MiB allocated; 100ms collecting garbage
Compiler: Compiled 93 484 to 7 208 computations (92.3% saved)

prune136.0ms (2.3%)

Memory

-34.2MiB live, 273.5MiB allocated; 118ms collecting garbage

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	1 972	27	1 999
Fresh	13	12	25
Picked	5	0	5
Done	0	3	3
Total	1 990	42	2 032

Accuracy

100.0%

Counts

2 032 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha)))
	95.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
✓	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
	95.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	97.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
	97.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (+.f32 #s(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
	95.3%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
	97.4%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32)))
	97.8%	(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha #s(literal 1 binary32)) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	87.1%	(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) alpha) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (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%	(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha))))
	95.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (+.f32 #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha)))
✓	98.3%	(/.f32 (-.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)) #s(literal 2 binary32)) (log.f32 alpha)))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.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))) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	52.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (.f32 #s(literal 4 binary32) (log.f32 (sqrt.f32 alpha))) (PI.f32))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (log.f32 alpha))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (-.f32 cosTheta #s(literal 1 binary32)) (+.f32 cosTheta #s(literal 1 binary32))) (log.f32 alpha)))))
	49.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(approx (+ ( cosTheta cosTheta) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta))) (log.f32 alpha)))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (PI)) (* (+ (* cosTheta cosTheta) -1) (log alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))))))
	63.3%	(/.f32 (-.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	95.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	97.2%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
	94.9%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) (.f32 alpha alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	97.3%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) #s(approx (log (pow ( alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (.f32 #s(literal 2 binary32) (PI.f32)))))
	94.9%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 #s(approx ( (- 1 (/ (/ 1 alpha) alpha)) alpha) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	95.0%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
	95.1%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha))))
	94.8%	#s(approx (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 #s(literal 1 binary32) alpha)))))
	95.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))))
	95.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	67.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
	98.3%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 alpha))))
	98.3%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	98.2%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	67.1%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	97.9%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	97.9%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 #s(approx (/ (- (* alpha alpha) 1) (PI)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 alpha alpha))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
	98.0%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 alpha)))))

Compiler

Compiled 4 794 to 1 484 computations (69% saved)

regimes98.0ms (1.6%)

Memory

9.6MiB live, 294.2MiB allocated; 28ms collecting garbage

Counts

82 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (+.f32 #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha)))
(/.f32 (-.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (.f32 #s(literal 4 binary32) (log.f32 (sqrt.f32 alpha))) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (PI)) (* (+ (* cosTheta cosTheta) -1) (log alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (log.f32 alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (-.f32 cosTheta #s(literal 1 binary32)) (+.f32 cosTheta #s(literal 1 binary32))) (log.f32 alpha)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (+.f32 #s(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (-.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)) #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 (+.f32 #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) 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(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 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 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) (.f32 alpha alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) #s(approx (log (pow ( alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(approx (+ ( cosTheta cosTheta) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta))) (log.f32 alpha)))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))) (+.f32 #s(literal 1 binary32) #s(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 #s(approx ( (- 1 (/ (/ 1 alpha) alpha)) alpha) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha))) (.f32 alpha alpha))) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.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 #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))) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 #s(approx (/ (- (* alpha alpha) 1) (PI)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 alpha alpha))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) alpha) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha #s(literal 1 binary32)) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (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)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) #s(approx (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))) (.f32 alpha alpha))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (PI.f32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (log.f32 alpha) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha))) #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 #s(approx ( (PI) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) (/.f32 (PI.f32) alpha))) (*.f32 alpha alpha))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (*.f32 alpha alpha))))))
#s(approx (/ (/ (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 #s(literal 1 binary32) alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) (neg.f32 cosTheta) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (/.f32 (PI.f32) (.f32 alpha alpha)))))))
(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))) (*.f32 alpha alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.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) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha))) (.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (.f32 (neg.f32 (pow.f32 alpha #s(literal 5 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (pow.f32 alpha #s(literal 3 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32))))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (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 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Outputs

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

Calls

4 calls:

28.0ms	cosTheta
23.0ms	alpha
21.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
21.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes66.0ms (1.1%)

Memory

35.4MiB live, 132.7MiB allocated; 6ms collecting garbage

Counts

62 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (+.f32 #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha)))
(/.f32 (-.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) 2) (log alpha))) (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (.f32 #s(literal 4 binary32) (log.f32 (sqrt.f32 alpha))) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (PI)) (* (+ (* cosTheta cosTheta) -1) (log alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (log.f32 alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (-.f32 cosTheta #s(literal 1 binary32)) (+.f32 cosTheta #s(literal 1 binary32))) (log.f32 alpha)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (+.f32 #s(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (-.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)) #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 (+.f32 #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) 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(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 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 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) (.f32 alpha alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) #s(approx (log (pow ( alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(approx (+ ( cosTheta cosTheta) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta))) (log.f32 alpha)))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.f32 alpha)) alpha))) (+.f32 #s(literal 1 binary32) #s(approx ( (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 #s(approx ( (- 1 (/ (/ 1 alpha) alpha)) alpha) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha)) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha))) (.f32 alpha alpha))) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (.f32 (sqrt.f32 alpha) (sqrt.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 #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))) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))))) (/.f32 #s(approx (/ (- (* alpha alpha) 1) (PI)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 alpha alpha))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) alpha) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(approx (* (+ (* alpha alpha) -1) (+ (pow alpha 3) 1)) (-.f32 (.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha #s(literal 1 binary32)) (.f32 alpha alpha)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (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)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (log.f32 alpha))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)))))

Outputs

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

Calls

4 calls:

17.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
17.0ms	alpha
15.0ms	cosTheta
15.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f32 alpha 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	`alpha`
98.4%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes35.0ms (0.6%)

Memory

-28.3MiB live, 62.9MiB allocated; 6ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

10.0ms	alpha
8.0ms	cosTheta
8.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
7.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes39.0ms (0.7%)

Memory

-19.1MiB live, 48.2MiB allocated; 21ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

19.0ms	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))))
6.0ms	alpha
6.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes24.0ms (0.4%)

Memory

-5.5MiB live, 39.9MiB allocated; 4ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	cosTheta
5.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms	(*.f32 alpha alpha)
5.0ms	alpha

Results

Accuracy	Segments	Branch
95.4%	1	`cosTheta`
95.4%	1	`(*.f32 alpha alpha)`
95.4%	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))))`
95.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes9.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.4%	1	`cosTheta`
95.4%	1	`(*.f32 alpha alpha)`
95.4%	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))))`
95.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes8.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes8.0ms (0.1%)

Memory

-22.6MiB live, 23.7MiB allocated; 2ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

4 calls:

3.0ms	(*.f32 alpha alpha)
2.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.0ms	alpha
1.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (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	alpha
1.0ms	cosTheta
1.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
-0.0%	1	`cosTheta`
-0.0%	1	`(*.f32 alpha alpha)`
-0.0%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
-0.0%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify12.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Stop Event

1×	iter limit
1×	unsound

Calls

Call 1

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

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

derivations754.0ms (12.6%)

Memory

17.9MiB live, 536.4MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	793	6467
1	2634	5700
0	8705	5550
0	62	480
0	98	432
1	390	432
2	2575	432
0	8944	432
0	13	91
0	23	91
1	101	91
2	818	87
0	8847	77
0	225	1677
1	697	1619
2	3087	1494
0	8353	1431

Stop Event

1×	fuel
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

Compiler

Compiled 261 to 73 computations (72% saved)

preprocess55.0ms (0.9%)

Memory

-18.7MiB live, 72.1MiB allocated; 7ms collecting garbage

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 658 to 228 computations (65.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze67.0ms (1.1%)

sample1.7s (27.7%)

explain181.0ms (3%)

preprocess132.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series136.0ms (2.3%)

simplify166.0ms (2.8%)

rewrite162.0ms (2.7%)

eval145.0ms (2.4%)

prune155.0ms (2.6%)

simplify0.0ms (0%)

series213.0ms (3.6%)

simplify201.0ms (3.4%)

rewrite54.0ms (0.9%)

eval40.0ms (0.7%)

prune68.0ms (1.1%)

simplify0.0ms (0%)

series166.0ms (2.8%)

simplify172.0ms (2.9%)

rewrite22.0ms (0.4%)

eval66.0ms (1.1%)

prune37.0ms (0.6%)

simplify0.0ms (0%)

series184.0ms (3.1%)

simplify181.0ms (3%)

rewrite280.0ms (4.7%)

eval249.0ms (4.1%)

prune136.0ms (2.3%)

regimes98.0ms (1.6%)

regimes66.0ms (1.1%)

regimes35.0ms (0.6%)

regimes39.0ms (0.7%)

regimes24.0ms (0.4%)

regimes9.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

simplify12.0ms (0.2%)

derivations754.0ms (12.6%)

preprocess55.0ms (0.9%)

end0.0ms (0%)

Profiling