Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze143.0ms (3%)

Memory

13.9MiB live, 128.6MiB allocated; 148ms 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)

sample1.5s (31.7%)

Memory

23.4MiB live, 1 722.4MiB allocated; 386ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 905.0ms

ival-mult: 260.0ms (28.7% of total)

ival-log: 190.0ms (21% of total)

const: 147.0ms (16.3% of total)

ival-<=: 80.0ms (8.8% of total)

ival-div: 59.0ms (6.5% of total)

ival-add: 49.0ms (5.4% of total)

ival-sub: 45.0ms (5% of total)

ival-pi: 36.0ms (4% of total)

ival-and: 24.0ms (2.7% of total)

exact: 10.0ms (1.1% of total)

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain167.0ms (3.5%)

Memory

28.9MiB live, 221.9MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f32`	`(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 34.0ms (66.4% of total)

ival-div: 5.0ms (9.8% of total)

ival-log: 5.0ms (9.8% of total)

ival-pi: 2.0ms (3.9% of total)

ival-add: 2.0ms (3.9% of total)

ival-sub: 2.0ms (3.9% 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)

preprocess155.0ms (3.2%)

Memory

5.8MiB live, 52.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	122
1	152	122
2	598	122
3	3525	120
0	13	24
0	23	24
1	55	24
2	224	24
3	1279	24
4	7276	24
0	8561	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.6%

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series100.0ms (2.1%)

Memory

-9.6MiB live, 37.0MiB allocated; 3ms 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
40.0ms	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)
22.0ms	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)
15.0ms	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)
10.0ms	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)
8.0ms	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)

simplify153.0ms (3.2%)

Memory

-2.0MiB live, 90.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	1677
1	697	1618
2	3290	1493
0	8110	1427

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

rewrite60.0ms (1.3%)

Memory

13.4MiB live, 60.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	91
0	23	91
1	101	91
0	856	81

Stop Event

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

Counts

13 → 190

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

eval34.0ms (0.7%)

Memory: -30.0MiB live, 62.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 10 641 to 1 310 computations (87.7% saved)

prune29.0ms (0.6%)

Memory

-1.4MiB live, 54.7MiB allocated; 12ms collecting garbage

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	299	27	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	300	27	327

Accuracy

100.0%

Counts

327 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.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))))
	98.7%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
	98.2%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
▶	98.2%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	98.1%	(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	98.3%	(/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))) (fma.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 alpha (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.6%	(/.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))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) cosTheta) cosTheta))))
	98.2%	(/.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 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
	50.2%	(/.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))))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))))
	98.6%	(/.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))))
	98.3%	(/.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)))))))
	98.0%	(/.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 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
▶	96.2%	(/.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))))
	98.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.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))))
	65.7%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
▶	98.1%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	97.9%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	97.9%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	95.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	65.6%	#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 1 808 to 1 016 computations (43.8% saved)

series127.0ms (2.7%)

Memory

4.9MiB live, 192.8MiB allocated; 23ms collecting garbage

Counts

31 → 119

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (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)) (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (- alpha 1))
26.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (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)) (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (- alpha 1))
25.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (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)) (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (- alpha 1))
10.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (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)) (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (- alpha 1))
9.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) cosTheta (+ (* alpha alpha) -1) -1 (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (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)) (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (- alpha 1))

simplify222.0ms (4.6%)

Memory

34.2MiB live, 207.8MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	513	3607
1	1575	3396
2	6872	3139
0	8519	2991

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 117

Calls

Call 1

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

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

rewrite96.0ms (2%)

Memory

-8.2MiB live, 130.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	294
0	68	283
1	289	283
0	2050	283

Stop Event

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

Counts

31 → 872

Calls

Call 1

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

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

eval101.0ms (2.1%)

Memory: 9.4MiB live, 196.7MiB allocated; 21ms collecting garbage
Compiler: Compiled 36 760 to 3 050 computations (91.7% saved)

prune66.0ms (1.4%)

Memory

17.2MiB live, 115.2MiB allocated; 54ms collecting garbage

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1 106	27	1 133
Fresh	13	9	22
Picked	4	1	5
Done	0	0	0
Total	1 123	37	1 160

Accuracy

100.0%

Counts

1 160 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (fma.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))))
	96.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	96.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	98.5%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))) (PI.f32))
	98.2%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 (.f32 cosTheta alpha) alpha (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
	97.6%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
	50.1%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)))
	98.2%	(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	98.5%	(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha))))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	95.5%	(/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal -1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.0%	(/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (log.f32 (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	97.6%	(/.f32 (/.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha) (PI.f32))) (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) cosTheta) cosTheta))))
	98.2%	(/.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 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
	50.2%	(/.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)) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI)))) (.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))))
	96.1%	(/.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) (log.f32 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 (.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)))))))
	98.0%	(/.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 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
✓	96.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.2%	(/.f32 (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	98.2%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
	95.7%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.5%	(/.f32 (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (neg.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	98.6%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) alpha) alpha #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
▶	98.1%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	95.4%	(/.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))))
▶	65.7%	(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
▶	64.5%	(/.f32 #s(approx (- (* alpha alpha) 1) #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)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	97.9%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	97.9%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	95.6%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
	65.6%	#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	95.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	65.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))

Compiler

Compiled 2 337 to 1 504 computations (35.6% saved)

series91.0ms (1.9%)

Memory

-15.4MiB live, 172.5MiB allocated; 13ms collecting garbage

Counts

44 → 144

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

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)) (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta) (* (* (- alpha 1) (- alpha -1)) cosTheta) (* (- alpha 1) (- alpha -1)) (- alpha 1) (- alpha -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (+ (* alpha alpha) -1) (* cosTheta cosTheta) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (log alpha) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ 1/2 (* alpha alpha)) (neg (* (log alpha) (PI))))
21.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)) (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta) (* (* (- alpha 1) (- alpha -1)) cosTheta) (* (- alpha 1) (- alpha -1)) (- alpha 1) (- alpha -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (+ (* alpha alpha) -1) (* cosTheta cosTheta) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (log alpha) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ 1/2 (* alpha alpha)) (neg (* (log alpha) (PI))))
20.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)) (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta) (* (* (- alpha 1) (- alpha -1)) cosTheta) (* (- alpha 1) (- alpha -1)) (- alpha 1) (- alpha -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (+ (* alpha alpha) -1) (* cosTheta cosTheta) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (log alpha) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ 1/2 (* alpha alpha)) (neg (* (log alpha) (PI))))
7.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)) (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta) (* (* (- alpha 1) (- alpha -1)) cosTheta) (* (- alpha 1) (- alpha -1)) (- alpha 1) (- alpha -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (+ (* alpha alpha) -1) (* cosTheta cosTheta) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (log alpha) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ 1/2 (* alpha alpha)) (neg (* (log alpha) (PI))))
7.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta)) (* (* (* (- alpha 1) (- alpha -1)) cosTheta) cosTheta) (* (* (- alpha 1) (- alpha -1)) cosTheta) (* (- alpha 1) (- alpha -1)) (- alpha 1) (- alpha -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (+ (* alpha alpha) -1) (* cosTheta cosTheta) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (log alpha) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ 1/2 (* alpha alpha)) (neg (* (log alpha) (PI))))

simplify152.0ms (3.2%)

Memory

10.5MiB live, 232.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	587	4315
1	1844	3882
0	8317	3701

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

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

rewrite152.0ms (3.2%)

Memory

29.7MiB live, 164.8MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	460
0	101	463
1	391	430
0	2888	430

Stop Event

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

Counts

44 → 861

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

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

eval192.0ms (4%)

Memory: -23.9MiB live, 133.9MiB allocated; 184ms collecting garbage
Compiler: Compiled 35 775 to 3 595 computations (90% saved)

prune49.0ms (1%)

Memory

-13.2MiB live, 86.5MiB allocated; 11ms collecting garbage

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	921	13	934
Fresh	7	24	31
Picked	1	4	5
Done	0	1	1
Total	929	42	971

Accuracy

100.0%

Counts

971 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (fma.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))))
	96.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	96.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	98.2%	(/.f32 (/.f32 (fma.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))))
▶	98.5%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))) (PI.f32))
	98.2%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 (.f32 cosTheta alpha) alpha (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
	97.6%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
	50.1%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)))
	98.5%	(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha))))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	95.5%	(/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal -1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.0%	(/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (log.f32 (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta alpha) alpha (neg.f32 cosTheta)) cosTheta))))
	98.2%	(/.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 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
	50.2%	(/.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)) #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI)))) (.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))))
	96.1%	(/.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) (log.f32 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 (.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)))))))
	98.0%	(/.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 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
✓	96.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.2%	(/.f32 (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	95.7%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.0%	(/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (PI.f32)) (log.f32 alpha)))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
	98.5%	(/.f32 (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (neg.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	97.9%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal -1/2 binary32)) alpha) alpha) (neg.f32 (log.f32 alpha))) (PI.f32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	98.1%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal -1/2 binary32)) (neg.f32 (log.f32 alpha))) (PI.f32)) (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
✓	98.1%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
▶	65.6%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 #s(approx (+ -1/2 (/ 1/2 ( alpha alpha))) (/.f32 (/.f32 #s(literal 1/2 binary32) alpha) alpha)) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	97.9%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal -1/2 binary32)) (.f32 (neg.f32 (PI.f32)) (log.f32 alpha))) (neg.f32 alpha)) (neg.f32 alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	95.4%	(/.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))))
	65.7%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
✓	65.7%	(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
▶	64.5%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))))
✓	64.5%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.1%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
✓	98.0%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	97.9%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	98.0%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
▶	97.4%	(.f32 #s(approx (/ (- alpha -1) (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	95.6%	(.f32 #s(approx (/ (- alpha -1) (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	65.6%	#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	95.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	65.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))

Compiler

Compiled 2 648 to 1 725 computations (34.9% saved)

series96.0ms (2%)

Memory

35.1MiB live, 129.1MiB allocated; 14ms collecting garbage

Counts

50 → 187

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

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)) (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta) (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) (* cosTheta alpha) cosTheta (neg cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* 2 (log alpha)) (PI)) (* 2 (log alpha)) 2 (log alpha) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (+ 1 alpha) (- 1 (* cosTheta cosTheta))) (+ 1 alpha) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (/ (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (PI)) (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ (/ 1/2 alpha) alpha) (/ 1/2 alpha) (neg (* (log alpha) (PI))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)))
23.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)) (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta) (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) (* cosTheta alpha) cosTheta (neg cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* 2 (log alpha)) (PI)) (* 2 (log alpha)) 2 (log alpha) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (+ 1 alpha) (- 1 (* cosTheta cosTheta))) (+ 1 alpha) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (/ (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (PI)) (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ (/ 1/2 alpha) alpha) (/ 1/2 alpha) (neg (* (log alpha) (PI))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)))
21.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)) (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta) (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) (* cosTheta alpha) cosTheta (neg cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* 2 (log alpha)) (PI)) (* 2 (log alpha)) 2 (log alpha) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (+ 1 alpha) (- 1 (* cosTheta cosTheta))) (+ 1 alpha) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (/ (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (PI)) (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ (/ 1/2 alpha) alpha) (/ 1/2 alpha) (neg (* (log alpha) (PI))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)))
8.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)) (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta) (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) (* cosTheta alpha) cosTheta (neg cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* 2 (log alpha)) (PI)) (* 2 (log alpha)) 2 (log alpha) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (+ 1 alpha) (- 1 (* cosTheta cosTheta))) (+ 1 alpha) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (/ (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (PI)) (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ (/ 1/2 alpha) alpha) (/ 1/2 alpha) (neg (* (log alpha) (PI))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)))
6.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)) (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta) (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) (* cosTheta alpha) cosTheta (neg cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* 2 (log alpha)) (PI)) (* 2 (log alpha)) 2 (log alpha) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (+ 1 alpha) (- 1 (* cosTheta cosTheta))) (+ 1 alpha) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/ (+ (* 1/2 alpha) -1/2) (* (log alpha) (PI))) (+ (* 1/2 alpha) -1/2) 1/2 -1/2 (* (log alpha) (PI)) (/ (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (PI)) (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (* (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (* alpha alpha)) (/ (+ -1/2 (/ 1/2 (* alpha alpha))) (neg (* (log alpha) (PI)))) (+ -1/2 (/ 1/2 (* alpha alpha))) (/ (/ 1/2 alpha) alpha) (/ 1/2 alpha) (neg (* (log alpha) (PI))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* cosTheta (+ (* alpha alpha) -1)))

simplify196.0ms (4.1%)

Memory

1.9MiB live, 181.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	792	5824
1	2431	5445
0	9225	5228

Stop Event

1×	iter limit
1×	node limit

Counts

187 → 185

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

rewrite133.0ms (2.8%)

Memory

-9.7MiB live, 123.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	531
0	120	530
1	457	515
0	3567	515

Stop Event

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

Counts

50 → 1 037

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

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

eval101.0ms (2.1%)

Memory: 23.6MiB live, 171.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 42 343 to 4 145 computations (90.2% saved)

prune112.0ms (2.3%)

Memory

-19.3MiB live, 90.1MiB allocated; 49ms collecting garbage

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	1 036	14	1 050
Fresh	9	23	32
Picked	3	2	5
Done	0	5	5
Total	1 048	44	1 092

Accuracy

100.0%

Counts

1 092 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (fma.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))))
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 cosTheta alpha) alpha (neg.f32 cosTheta)) cosTheta))))
	96.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	96.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	98.2%	(/.f32 (/.f32 (fma.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))))
	98.3%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 (.f32 #s(literal -2 binary32) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	98.5%	(/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha))))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	95.5%	(/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal -1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	96.0%	(/.f32 (/.f32 #s(approx (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (*.f32 alpha alpha))) (PI.f32))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha)))))
	50.2%	(/.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))))
	96.1%	(/.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) (log.f32 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 (.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)))))))
	98.0%	(/.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 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
✓	96.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.2%	(/.f32 (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	95.7%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.5%	(/.f32 (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (neg.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	65.6%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (PI.f32))
	97.9%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal -1/2 binary32)) alpha) alpha) (neg.f32 (log.f32 alpha))) (PI.f32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	98.1%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal -1/2 binary32)) (neg.f32 (log.f32 alpha))) (PI.f32)) (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
✓	98.1%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
✓	65.6%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 #s(approx (+ -1/2 (/ 1/2 ( alpha alpha))) (/.f32 (/.f32 #s(literal 1/2 binary32) alpha) alpha)) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	97.9%	(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal -1/2 binary32)) (.f32 (neg.f32 (PI.f32)) (log.f32 alpha))) (neg.f32 alpha)) (neg.f32 alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
	95.4%	(/.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))))
	65.7%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
✓	65.7%	(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
	65.7%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 cosTheta alpha) alpha (neg.f32 cosTheta)) cosTheta))))
✓	64.5%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))))
✓	64.5%	(/.f32 #s(approx (- (* alpha alpha) 1) #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)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	97.9%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	98.0%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	97.5%	(.f32 #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (PI.f32)) (log.f32 alpha))) #s(approx (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	97.4%	(.f32 #s(approx (/ (- alpha -1) (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (.f32 (-.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	97.7%	(.f32 #s(approx (/ (- alpha -1) (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 alpha alpha) #s(literal -1/4 binary32)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) alpha) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))))
	97.3%	(.f32 #s(approx (/ (- alpha -1) (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (log.f32 alpha)) (PI.f32))))
	97.2%	(.f32 #s(approx (/ (- alpha -1) (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 #s(approx (+ (* 1/2 alpha) -1/2) (.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) alpha)) alpha)) (.f32 (log.f32 alpha) (PI.f32)))))
	95.6%	(.f32 #s(approx (/ (- alpha -1) (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	96.9%	(.f32 #s(approx (/ (- alpha -1) (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) #s(approx (/ (+ 1 alpha) (- 1 (* cosTheta cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)))) #s(approx (/ (- alpha 1) (log (pow ( alpha alpha) (PI)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	65.6%	#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log (pow (* alpha alpha) (PI))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	95.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (* cosTheta alpha) alpha) (neg cosTheta)) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	65.6%	#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 4 322 to 1 403 computations (67.5% saved)

regimes103.0ms (2.2%)

Memory

10.8MiB live, 103.6MiB allocated; 9ms collecting garbage

Counts

82 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

38.0ms	alpha
22.0ms	(/.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))))
19.0ms	(*.f32 alpha alpha)
19.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes78.0ms (1.6%)

Memory

-14.5MiB live, 79.2MiB allocated; 14ms collecting garbage

Counts

70 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

23.0ms	(/.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))))
19.0ms	alpha
16.0ms	cosTheta
16.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes44.0ms (0.9%)

Memory

-10.1MiB live, 35.6MiB allocated; 5ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Calls

4 calls:

14.0ms	(*.f32 alpha alpha)
10.0ms	alpha
10.0ms	cosTheta
10.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta`
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	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes24.0ms (0.5%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs

(/.f32 (fma.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:

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)
6.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta`
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	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes24.0ms (0.5%)

Memory

-14.7MiB live, 31.0MiB allocated; 3ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	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	alpha
5.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
98.0%	1	`(*.f32 alpha alpha)`
98.0%	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))))`
98.0%	1	`cosTheta`
98.0%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes15.0ms (0.3%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

4.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
3.0ms	cosTheta
3.0ms	(*.f32 alpha alpha)
3.0ms	alpha

Results

Accuracy	Segments	Branch
96.2%	1	`(*.f32 alpha alpha)`
96.2%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
96.2%	1	`cosTheta`
96.2%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes11.0ms (0.2%)

Memory

-31.8MiB live, 12.5MiB allocated; 5ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

7.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
2.0ms	(*.f32 alpha alpha)
1.0ms	cosTheta
1.0ms	alpha

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Outputs

(/.f32 #s(approx (- (* alpha alpha) 1) #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:

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

Results

Accuracy	Segments	Branch
64.5%	1	`(*.f32 alpha alpha)`
64.5%	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))))`
64.5%	1	`cosTheta`
64.5%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify48.0ms (1%)

Memory

-7.3MiB live, 45.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	220
1	83	220
2	197	220
3	765	220
4	5063	220

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations145.0ms (3%)

Memory

34.1MiB live, 122.1MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 220 to 50 computations (77.3% saved)

preprocess35.0ms (0.7%)

Memory

10.4MiB live, 51.6MiB allocated; 14ms collecting garbage

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 576 to 182 computations (68.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze143.0ms (3%)

sample1.5s (31.7%)

explain167.0ms (3.5%)

preprocess155.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series100.0ms (2.1%)

simplify153.0ms (3.2%)

rewrite60.0ms (1.3%)

eval34.0ms (0.7%)

prune29.0ms (0.6%)

series127.0ms (2.7%)

simplify222.0ms (4.6%)

rewrite96.0ms (2%)

eval101.0ms (2.1%)

prune66.0ms (1.4%)

series91.0ms (1.9%)

simplify152.0ms (3.2%)

rewrite152.0ms (3.2%)

eval192.0ms (4%)

prune49.0ms (1%)

series96.0ms (2%)

simplify196.0ms (4.1%)

rewrite133.0ms (2.8%)

eval101.0ms (2.1%)

prune112.0ms (2.3%)

regimes103.0ms (2.2%)

regimes78.0ms (1.6%)

regimes44.0ms (0.9%)

regimes24.0ms (0.5%)

regimes24.0ms (0.5%)

regimes15.0ms (0.3%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

simplify48.0ms (1%)

derivations145.0ms (3%)

preprocess35.0ms (0.7%)

end0.0ms (0%)

Profiling