Metrics for GTR1 distribution

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze55.0ms (1.1%)

Memory

7.9MiB live, 102.1MiB allocated; 10ms 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)

sample2.0s (41.4%)

Memory

-121.4MiB live, 1 329.7MiB allocated; 1.5s collecting garbage

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-log: 682.0ms (46.8% of total)

ival-mult: 461.0ms (31.7% of total)

ival-div: 176.0ms (12.1% of total)

ival-sub: 44.0ms (3% of total)

ival-add: 40.0ms (2.7% of total)

ival-pi: 36.0ms (2.5% of total)

exact: 8.0ms (0.5% of total)

const: 4.0ms (0.3% of total)

adjust: 3.0ms (0.2% of total)

ival-assert: 2.0ms (0.1% of total)

ival-and: 1.0ms (0.1% of total)

ival-<=: 1.0ms (0.1% of total)

Bogosity

explain247.0ms (5.1%)

Memory

18.4MiB live, 186.0MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

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-pi: 20.0ms (39.5% of total)

ival-mult: 16.0ms (31.6% of total)

ival-log: 5.0ms (9.9% of total)

ival-div: 4.0ms (7.9% of total)

ival-sub: 3.0ms (5.9% of total)

ival-add: 2.0ms (4% 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)

preprocess178.0ms (3.7%)

Memory

-13.7MiB live, 125.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	146
1	170	146
2	616	146
3	3554	144
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 cosTheta)

(abs alpha)

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

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.5%

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series102.0ms (2.1%)

Memory

31.1MiB live, 114.4MiB allocated; 15ms collecting garbage

Counts

13 → 61

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	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)
23.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
21.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
11.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
9.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)

rewrite208.0ms (4.3%)

Memory

-36.2MiB live, 206.0MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	2886
0	324	2685
1	1721	2664
0	8098	2594

Stop Event

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

Counts

74 → 156

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

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

eval20.0ms (0.4%)

Memory: 30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 7 744 to 958 computations (87.6% saved)

prune42.0ms (0.9%)

Memory

-15.0MiB live, 31.1MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	205	21	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	21	227

Accuracy

99.9%

Counts

227 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))) cosTheta))))
	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	51.0%	(/.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 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
▶	98.4%	(/.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 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
▶	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	97.3%	(/.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) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #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))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	66.5%	(/.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))))
	98.2%	(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
	98.0%	(.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	97.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))

Compiler

Compiled 1 442 to 772 computations (46.5% saved)

series185.0ms (3.8%)

Memory

-4.3MiB live, 198.3MiB allocated; 94ms collecting garbage

Counts

37 → 194

Calls

Call 1

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

Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 1))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) #s(hole binary32 1))
#s(approx (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) #s(hole binary32 (+ 1 (* (pow alpha 2) (* (pow cosTheta 2) (- 1 (/ 1 (pow alpha 2))))))))
#s(approx (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) #s(hole binary32 (/ 1 (pow alpha 2))))
#s(approx (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) #s(hole binary32 (+ (* (pow cosTheta 2) (- 1 (/ 1 (pow alpha 2)))) (/ 1 (pow alpha 2)))))
#s(approx (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) #s(hole binary32 (/ 1 (pow alpha 2))))
#s(approx (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) #s(hole binary32 (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2)))))
#s(approx (+ (* (* cosTheta cosTheta) -1) 1) #s(hole binary32 1))
#s(approx (+ (* (* cosTheta cosTheta) -1) 1) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (/ (log (pow (pow alpha 2) (PI))) (pow cosTheta 2))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) #s(hole binary32 (* (pow alpha 2) (* (pow cosTheta 2) (- 1 (/ 1 (pow alpha 2)))))))
#s(approx (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) #s(hole binary32 (* (pow cosTheta 2) (+ (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) (/ 1 (pow cosTheta 2))))))
#s(approx (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ 1 (/ 1 (* (pow alpha 2) (pow cosTheta 2)))) (/ 1 (pow alpha 2))))))
#s(approx (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) #s(hole binary32 (* -1 (/ (pow cosTheta 2) (pow alpha 2)))))
#s(approx (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) #s(hole binary32 (* (pow cosTheta 2) (- (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow alpha 2))))))
#s(approx (+ (* (* cosTheta cosTheta) -1) 1) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (+ (* (* cosTheta cosTheta) -1) 1) #s(hole binary32 (* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
81.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (+ (* (* cosTheta cosTheta) -1) 1) (* cosTheta cosTheta) -1 (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
28.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (+ (* (* cosTheta cosTheta) -1) 1) (* cosTheta cosTheta) -1 (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
27.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (+ (* (* cosTheta cosTheta) -1) 1) (* cosTheta cosTheta) -1 (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
22.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (+ (* (* cosTheta cosTheta) -1) 1) (* cosTheta cosTheta) -1 (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
12.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (+ (* (* cosTheta cosTheta) -1) 1) (* cosTheta cosTheta) -1 (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite230.0ms (4.7%)

Memory

1.6MiB live, 280.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	11541
0	789	10396
1	4088	10318
0	10841	9972

Stop Event

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

Counts

231 → 497

Calls

Call 1

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

Outputs
(/.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #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 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
(*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(pow.f32 (exp.f32 (log.f32 alpha)) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(fabs.f32 (*.f32 alpha alpha))
(+.f32 (cosh.f32 (log.f32 (.f32 alpha alpha))) (sinh.f32 (log.f32 (.f32 alpha alpha))))
(exp.f32 (log.f32 (*.f32 alpha alpha)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(fma.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(+.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(+.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (neg.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (pow.f32 alpha (PI.f32))) (neg.f32 (pow.f32 alpha (PI.f32))))
(.f32 (fabs.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (fabs.f32 (pow.f32 alpha (PI.f32))) (fabs.f32 (pow.f32 alpha (PI.f32))))
(*.f32 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (PI.f32)) (log.f32 alpha))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 alpha alpha) (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(+.f32 (cosh.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (sinh.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(PI.f32)
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
(-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (neg.f32 cosTheta)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) cosTheta))
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 cosTheta (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))
cosTheta
(/.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
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eval108.0ms (2.2%)

Memory: -7.4MiB live, 138.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 33 596 to 3 024 computations (91% saved)

prune69.0ms (1.4%)

Memory

-19.5MiB live, 80.2MiB allocated; 10ms collecting garbage

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	861	26	887
Fresh	11	5	16
Picked	4	1	5
Done	0	0	0
Total	876	32	908

Accuracy

100.0%

Counts

908 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
▶	98.0%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) alpha) alpha)) (.f32 alpha alpha))))
	81.7%	(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))) cosTheta #s(literal 1 binary32))))
	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha) (/.f32 (.f32 cosTheta (neg.f32 cosTheta)) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	98.4%	(/.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 (.f32 cosTheta (neg.f32 cosTheta)) (neg.f32 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 (.f32 alpha alpha) (neg.f32 (.f32 alpha alpha)))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))
	97.7%	(/.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 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))
	95.0%	(/.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 #s(approx (+ ( (* cosTheta cosTheta) -1) 1) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	94.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ (/ (+ ( (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha)))))
	96.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ (/ (+ ( (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) alpha) alpha)) (*.f32 alpha alpha)))))
✓	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
	51.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
	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 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	94.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	98.0%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	94.6%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶	66.5%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
▶	65.5%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	66.5%	(/.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))))
▶	98.0%	(.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	66.4%	#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))

Compiler

Compiled 2 234 to 1 335 computations (40.2% saved)

series167.0ms (3.4%)

Memory

24.6MiB live, 260.4MiB allocated; 42ms collecting garbage

Counts

43 → 277

Calls

Call 1

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

Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 1))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
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#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (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)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))))) (pow cosTheta 2))) (pow alpha 6))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (- (+ (* -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)))))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (- (+ (* -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)))))))))
#s(approx (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (/ -1/2 (* alpha (* (pow cosTheta 2) (log (/ -1 alpha)))))))
#s(approx (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ 1 (* (pow cosTheta 2) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* alpha (* (pow cosTheta 2) (log (/ -1 alpha))))))) alpha))))
#s(approx (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (* (pow cosTheta 4) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (log (/ -1 alpha)))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (log (/ -1 alpha)))))) alpha))))
#s(approx (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (/ -1 alpha))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (* (pow cosTheta 4) (log (/ -1 alpha))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (log (/ -1 alpha)))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (log (/ -1 alpha)))))) alpha))))
#s(approx (- alpha 1) #s(hole binary32 (* -1 (* alpha (- (/ 1 alpha) 1)))))
#s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (log (/ -1 alpha)))))))
#s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (log (/ -1 alpha)))) (* -2 (/ (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) #s(hole binary32 (* 1/2 (/ (pow alpha 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) #s(hole binary32 (* (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))))))))))))
#s(approx (* (* 2 (PI)) (log alpha)) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (log alpha) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 alpha))))))

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (/ (- (pow alpha 4) 1) (+ (* 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) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (* (* 2 (PI)) (log alpha)) (* 2 (PI)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha) (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) (+ (* cosTheta (neg cosTheta)) 1) (neg cosTheta))
31.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (/ (- (pow alpha 4) 1) (+ (* 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) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (* (* 2 (PI)) (log alpha)) (* 2 (PI)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha) (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) (+ (* cosTheta (neg cosTheta)) 1) (neg cosTheta))
30.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (/ (- (pow alpha 4) 1) (+ (* 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) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (* (* 2 (PI)) (log alpha)) (* 2 (PI)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha) (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) (+ (* cosTheta (neg cosTheta)) 1) (neg cosTheta))
20.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (/ (- (pow alpha 4) 1) (+ (* 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) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (* (* 2 (PI)) (log alpha)) (* 2 (PI)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha) (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) (+ (* cosTheta (neg cosTheta)) 1) (neg cosTheta))
11.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (/ (- (pow alpha 4) 1) (+ (* 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) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (* (* 2 (PI)) (log alpha)) (* 2 (PI)) 2 (log alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha) (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) (+ (* cosTheta (neg cosTheta)) 1) (neg cosTheta))

rewrite244.0ms (5%)

Memory

5.6MiB live, 238.0MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1164	16581
0	1238	14643
1	6834	14643
0	8362	14410

Stop Event

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

Counts

320 → 554

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32))
(+.f32 alpha #s(literal 1 binary32))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 alpha #s(literal 1 binary32))
(.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
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(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
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Outputs
(.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (PI.f32))
(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
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(/.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
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(-.f32 (/.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 alpha (.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
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(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
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(/.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
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(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
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(pow.f32 alpha #s(literal 2 binary32))
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alpha
#s(literal 1 binary32)
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(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))
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(PI.f32)
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(*.f32 cosTheta cosTheta)
(pow.f32 cosTheta #s(literal 2 binary32))
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cosTheta
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#s(literal -1 binary32)
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(.f32 (log.f32 alpha) (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))
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(log.f32 (*.f32 alpha alpha))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
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#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32))
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#s(approx (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha)) (/.f32 #s(literal 1 binary32) alpha)) (.f32 cosTheta cosTheta)))
#s(approx (+ (* cosTheta (neg cosTheta)) 1) (*.f32 (neg.f32 cosTheta) cosTheta))
#s(approx (+ (* cosTheta (neg cosTheta)) 1) (.f32 (-.f32 (pow.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
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#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
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#s(approx (* (* 2 (PI)) (log alpha)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))))
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#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 alpha))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (* 2 (PI)) (log alpha)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
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#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 cosTheta cosTheta)) (.f32 (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal 1/2 binary32))) (pow.f32 alpha #s(literal 6 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)))))) (.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 (fma.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal -1 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32))))))) (.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (-.f32 (fma.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal -1 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal 1/2 binary32) (fma.f32 (/.f32 (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)))))))) (*.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32))))
#s(approx (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) alpha) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 cosTheta cosTheta))))
#s(approx (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (neg.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (/.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 cosTheta cosTheta))))) alpha)))
#s(approx (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) alpha))) alpha)))
#s(approx (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (pow.f32 cosTheta #s(literal 4 binary32)))) #s(literal -1/2 binary32) (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) #s(literal 1/2 binary32))) alpha))) alpha))) alpha)))
#s(approx (- alpha 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)))
#s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 cosTheta cosTheta) (/.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (PI.f32)) (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))) (pow.f32 alpha #s(literal 6 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))))) (.f32 alpha alpha)))
#s(approx (* (* 2 (PI)) (log alpha)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))))
#s(approx (log alpha) (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))))

eval64.0ms (1.3%)

Memory: -7.4MiB live, 90.6MiB allocated; 21ms collecting garbage
Compiler: Compiled 26 407 to 2 474 computations (90.6% saved)

prune44.0ms (0.9%)

Memory

-4.8MiB live, 87.2MiB allocated; 6ms collecting garbage

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	596	18	614
Fresh	9	17	26
Picked	2	3	5
Done	0	1	1
Total	607	39	646

Accuracy

100.0%

Counts

646 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	94.6%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 #s(approx (+ ( cosTheta (neg cosTheta)) 1) #s(literal 1 binary32)) alpha) alpha)) (*.f32 alpha alpha))))
	98.1%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 alpha alpha))) alpha) alpha)))
	97.1%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ ( cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 alpha alpha))) (.f32 alpha alpha))))
	97.3%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(approx (* (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (* alpha alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
▶	81.7%	(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))) cosTheta #s(literal 1 binary32))))
▶	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha) (/.f32 (.f32 cosTheta (neg.f32 cosTheta)) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))
	95.0%	(/.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 #s(approx (+ ( (* cosTheta cosTheta) -1) 1) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	94.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ (/ (+ ( (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha)))))
	96.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ (/ (+ ( (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) alpha) alpha)) (*.f32 alpha alpha)))))
✓	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 alpha)))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
	97.6%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) alpha) alpha)) (.f32 alpha alpha))))
	98.2%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #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 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	94.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	98.0%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (PI.f32))
▶	65.5%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓	66.5%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	66.3%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
✓	65.5%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	66.4%	(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) alpha) alpha)) (.f32 alpha alpha))))
	66.5%	(/.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))))
	98.1%	(.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (PI.f32) (.f32 (PI.f32) alpha)) (.f32 (PI.f32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
✓	98.0%	(.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	96.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	94.6%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
	98.0%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.1%	(.f32 (+.f32 (/.f32 alpha (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	66.4%	#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
	94.9%	#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))

Compiler

Compiled 2 596 to 1 584 computations (39% saved)

series149.0ms (3.1%)

Memory

23.1MiB live, 165.8MiB allocated; 17ms collecting garbage

Counts

42 → 233

Calls

Call 1

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

Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 4) 1) (* (PI) (* (log alpha) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 4) 1))) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* 1/2 (/ (- (pow alpha 4) 1) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 4) 1) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* 1/2 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1))) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 4) 1) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 4) 1))) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* 1/2 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))))))))))
#s(approx (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 1))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
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Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* 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)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (+ (* cosTheta (neg cosTheta)) 1) (* cosTheta cosTheta))
38.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* 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)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (+ (* cosTheta (neg cosTheta)) 1) (* cosTheta cosTheta))
23.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* 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)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (+ (* cosTheta (neg cosTheta)) 1) (* cosTheta cosTheta))
19.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* 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)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (+ (* cosTheta (neg cosTheta)) 1) (* cosTheta cosTheta))
10.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* 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)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (+ (* cosTheta (neg cosTheta)) 1) (* cosTheta cosTheta))

rewrite216.0ms (4.4%)

Memory

-1.8MiB live, 280.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	963	14420
0	1033	12747
1	5693	12722
0	8103	12354

Stop Event

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

Counts

275 → 488

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
(log.f32 alpha)
(PI.f32)
#s(literal 2 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(approx (- (pow alpha 4) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
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(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
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#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))
(.f32 (+.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))
(+.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))
(/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 alpha alpha))
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
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Outputs
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(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #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 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
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(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))))) (.f32 cosTheta cosTheta)))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (+.f32 (+.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))))) (/.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (pow.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))))) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))))))) (*.f32 cosTheta cosTheta)))
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#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))))) (.f32 cosTheta cosTheta)))
#s(approx (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))))
#s(approx (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))
#s(approx (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 cosTheta cosTheta)))
#s(approx (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal -2 binary32)) (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 alpha alpha)))
#s(approx (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (.f32 (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal -2 binary32)) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))
#s(approx (+ (* cosTheta (neg cosTheta)) 1) (*.f32 (neg.f32 cosTheta) cosTheta))
#s(approx (+ (* cosTheta (neg cosTheta)) 1) (.f32 (-.f32 (pow.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal -1/2 binary32) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (.f32 alpha alpha) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
#s(approx (* (* (log alpha) (PI)) 2) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
#s(approx (* (log alpha) (PI)) (*.f32 (PI.f32) (log.f32 alpha)))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 3 binary32)))))) (.f32 alpha alpha) (/.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
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#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
#s(approx (* (* (log alpha) (PI)) 2) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
#s(approx (* (log alpha) 2) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
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#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
#s(approx (* (* (log alpha) (PI)) 2) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
#s(approx (* (log alpha) 2) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 3 binary32))))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 3 binary32)))))) #s(literal 1/2 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 3 binary32))))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))))) (.f32 alpha alpha) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (- (pow alpha 4) 1) #s(literal -1 binary32))
#s(approx (- (pow alpha 4) 1) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* alpha alpha) 1) #s(literal 1 binary32))
#s(approx (+ (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal 1 binary32)))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
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#s(approx (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (* (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) alpha) alpha))
#s(approx (+ (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
#s(approx (/ (+ (* cosTheta (neg cosTheta)) 1) (* alpha alpha)) (/.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) alpha) alpha))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 alpha #s(literal -4 binary32))) #s(literal 1/2 binary32)) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 alpha #s(literal -4 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.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) (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 cosTheta cosTheta)) (.f32 (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal 1/2 binary32))) (pow.f32 alpha #s(literal 6 binary32))))) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))))) (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 cosTheta cosTheta))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 cosTheta cosTheta)) (*.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32))))))

eval60.0ms (1.2%)

Memory: -3.1MiB live, 97.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 27 656 to 2 393 computations (91.3% saved)

prune51.0ms (1.1%)

Memory

6.2MiB live, 100.2MiB allocated; 2ms collecting garbage

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	632	6	638
Fresh	4	26	30
Picked	1	4	5
Done	0	4	4
Total	637	40	677

Accuracy

100.0%

Counts

677 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	94.6%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 #s(approx (+ ( cosTheta (neg cosTheta)) 1) #s(literal 1 binary32)) alpha) alpha)) (*.f32 alpha alpha))))
	98.1%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (*.f32 alpha alpha))) alpha) alpha)))
	97.1%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ ( cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 alpha alpha))) (.f32 alpha alpha))))
	97.3%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(approx (* (+ (* cosTheta cosTheta) (/ (/ (+ (* cosTheta (neg cosTheta)) 1) alpha) alpha)) (* alpha alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	81.1%	(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))) cosTheta #s(literal 1 binary32))))
✓	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha) (/.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))
	95.0%	(/.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 #s(approx (+ ( (* cosTheta cosTheta) -1) 1) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	94.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ (/ (+ ( (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha)))))
	96.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ (/ (+ ( (* cosTheta cosTheta) -1) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) alpha) alpha)) (*.f32 alpha alpha)))))
✓	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
	97.6%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) alpha) alpha)) (.f32 alpha alpha))))
	98.2%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #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 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	94.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	98.0%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (PI.f32))
✓	65.5%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓	66.5%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	66.3%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
✓	65.5%	(/.f32 #s(approx (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	66.4%	(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) alpha) alpha)) (.f32 alpha alpha))))
	81.7%	(/.f32 #s(approx (- (pow alpha 4) 1) #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	66.5%	(/.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))))
	98.1%	(.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (PI.f32) (.f32 (PI.f32) alpha)) (.f32 (PI.f32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
✓	98.0%	(.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	96.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	94.6%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
	98.0%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.1%	(.f32 (+.f32 (/.f32 alpha (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	66.4%	#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
	94.9%	#s(approx (/ (/ (- (* alpha alpha) 1) (* (* 2 (PI)) (log alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))

Compiler

Compiled 3 948 to 1 218 computations (69.1% saved)

regimes74.0ms (1.5%)

Memory

5.4MiB live, 104.5MiB allocated; 4ms collecting garbage

Counts

72 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

20.0ms	alpha
18.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
16.0ms	(*.f32 alpha alpha)
16.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes25.0ms (0.5%)

Memory

-7.3MiB live, 39.6MiB allocated; 1ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes24.0ms (0.5%)

Memory

-9.2MiB live, 37.8MiB allocated; 1ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

Outputs

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

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

Results

Accuracy	Segments	Branch
97.3%	1	`(*.f32 alpha alpha)`
97.3%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
97.3%	1	`cosTheta`
97.3%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes14.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes7.0ms (0.1%)

Memory

-38.9MiB live, 13.2MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.5%	1	`cosTheta`
65.5%	1	`(*.f32 alpha alpha)`
65.5%	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))))`
65.5%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify44.0ms (0.9%)

Memory

16.3MiB live, 63.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	148
1	82	148
2	170	148
3	603	148
4	4751	148

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations183.0ms (3.8%)

Memory

19.1MiB live, 114.4MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 148 to 49 computations (66.9% saved)

preprocess34.0ms (0.7%)

Memory

-25.4MiB live, 24.5MiB allocated; 7ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 436 to 180 computations (58.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze55.0ms (1.1%)

sample2.0s (41.4%)

explain247.0ms (5.1%)

preprocess178.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series102.0ms (2.1%)

rewrite208.0ms (4.3%)

eval20.0ms (0.4%)

prune42.0ms (0.9%)

series185.0ms (3.8%)

rewrite230.0ms (4.7%)

eval108.0ms (2.2%)

prune69.0ms (1.4%)

series167.0ms (3.4%)

rewrite244.0ms (5%)

eval64.0ms (1.3%)

prune44.0ms (0.9%)

series149.0ms (3.1%)

rewrite216.0ms (4.4%)

eval60.0ms (1.2%)

prune51.0ms (1.1%)

regimes74.0ms (1.5%)

regimes25.0ms (0.5%)

regimes24.0ms (0.5%)

regimes14.0ms (0.3%)

regimes7.0ms (0.1%)

simplify44.0ms (0.9%)

derivations183.0ms (3.8%)

preprocess34.0ms (0.7%)

end0.0ms (0%)

Profiling