Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze182.0ms (2.8%)

Memory

43.3MiB live, 117.7MiB allocated; 122ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

sample1.6s (24.9%)

Memory

-12.6MiB live, 1 563.1MiB allocated; 408ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 957.0ms

ival-mult: 398.0ms (41.6% of total)

const: 146.0ms (15.3% of total)

ival-<=: 98.0ms (10.2% of total)

ival-log: 88.0ms (9.2% of total)

ival-div: 60.0ms (6.3% of total)

ival-sub: 46.0ms (4.8% of total)

ival-add: 43.0ms (4.5% of total)

ival-pi: 36.0ms (3.8% of total)

ival-and: 25.0ms (2.6% of total)

exact: 11.0ms (1.1% of total)

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

adjust: 2.0ms (0.2% of total)

Bogosity

explain162.0ms (2.5%)

Memory

7.1MiB live, 198.3MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))`
0	-	-	`(PI.f32)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`cosTheta`
0	-	-	`alpha`
0	-	-	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
0	-	-	`(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))`
1	(2.514994841185737e-22 0.996573805809021)	-	`(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))`
0	-	-	`(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)`
1	(2.514994841185737e-22 0.996573805809021)	-	`(log.f32 (*.f32 alpha alpha))`
0	-	-	`(*.f32 alpha alpha)`
0	-	-	`(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)`
0	-	-	`(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (*.f32 alpha alpha))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

57.0ms

512×

valid

Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 25.0ms (59.9% of total)

ival-log: 5.0ms (12% of total)

ival-div: 4.0ms (9.6% of total)

ival-pi: 2.0ms (4.8% of total)

ival-add: 2.0ms (4.8% of total)

ival-sub: 2.0ms (4.8% 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)

preprocess198.0ms (3.1%)

Memory

-10.2MiB live, 129.8MiB 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.6%

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

simplify126.0ms (2%)

Memory

1.2MiB live, 132.0MiB allocated; 13ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	91
0	23	91
1	55	91
2	224	91
3	1279	91
4	7276	91
0	8561	81

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.8%)

Memory

8.6MiB live, 69.7MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.1875	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28353500976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

23.0ms

256×

valid

Compiler

Compiled 93 to 15 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (51% of total)

ival-log: 3.0ms (19.1% of total)

ival-div: 2.0ms (12.7% of total)

ival-pi: 1.0ms (6.4% of total)

ival-add: 1.0ms (6.4% of total)

ival-sub: 1.0ms (6.4% 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)

series58.0ms (0.9%)

Memory

16.0MiB live, 106.9MiB allocated; 9ms collecting garbage

Counts

7 → 46

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	alpha	@	0	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
12.0ms	alpha	@	inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
8.0ms	alpha	@	-inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
3.0ms	cosTheta	@	inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
3.0ms	cosTheta	@	0	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))

simplify194.0ms (3%)

Memory

-20.3MiB live, 121.4MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	2207
1	677	2155
2	3037	2034
0	8197	1888

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

Calls

Call 1

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

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

rewrite59.0ms (0.9%)

Memory

18.3MiB live, 61.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	23	65
1	101	65
0	856	57

Stop Event

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

Counts

7 → 136

Calls

Call 1

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

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

eval27.0ms (0.4%)

Memory: 7.8MiB live, 50.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 8 428 to 1 115 computations (86.8% saved)

prune26.0ms (0.4%)

Memory

-30.0MiB live, 33.7MiB allocated; 6ms collecting garbage

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	232	24	256
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	233	24	257

Accuracy

100.0%

Counts

257 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
▶	98.8%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	97.9%	(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))))
	98.3%	(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
▶	47.5%	(/.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 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
	94.4%	(/.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)) #s(literal 1 binary32))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	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))))
	98.8%	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	97.7%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	65.9%	(/.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))))
	98.3%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
▶	98.2%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	98.2%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	98.1%	(.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 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	98.1%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
▶	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	65.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))

Compiler

Compiled 1 634 to 854 computations (47.7% saved)

simplify109.0ms (1.7%)

Memory

15.4MiB live, 106.0MiB allocated; 8ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
cost-diff	0	(-.f32 alpha #s(literal -1 binary32))
cost-diff	0	(/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
cost-diff	3	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
cost-diff	1	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
cost-diff	1	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
cost-diff	0	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
cost-diff	0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
cost-diff	0	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
cost-diff	0	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	480
0	79	464
1	185	464
2	546	464
3	2991	464
0	8842	464

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (2.2%)

Memory

-18.0MiB live, 216.4MiB allocated; 22ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	0.26953125	(/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
accuracy	0.36947250976844204	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
accuracy	3.0796548545041826	(pow.f32 (*.f32 alpha alpha) (PI.f32))
accuracy	0.19140625	(.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.28353500976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	15.350869406696647	(.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta)
accuracy	0.0546875	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
accuracy	0.08726503907376806	(log.f32 (*.f32 alpha alpha))
accuracy	0.28353500976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.08726503907376806	(log.f32 (*.f32 alpha alpha))
accuracy	0.29296875	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
accuracy	0.3828125	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
accuracy	1.3805479834958696	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
accuracy	0.03175501178494128	(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
accuracy	0.1875	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	0.27181625976844204	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
accuracy	3.0796548545041826	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Samples

93.0ms	251×	0	valid
3.0ms	5×	1	valid

Compiler

Compiled 457 to 41 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 25.0ms (36.5% of total)

ival-div: 15.0ms (21.9% of total)

ival-add: 12.0ms (17.5% of total)

ival-log: 5.0ms (7.3% of total)

ival-pow: 5.0ms (7.3% of total)

ival-sub: 4.0ms (5.8% of total)

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

adjust: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series114.0ms (1.8%)

Memory

41.6MiB live, 132.8MiB allocated; 14ms collecting garbage

Counts

24 → 204

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	alpha	@	0	((/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* 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))) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (pow (* alpha alpha) (PI))) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))))
30.0ms	alpha	@	inf	((/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* 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))) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (pow (* alpha alpha) (PI))) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))))
18.0ms	alpha	@	-inf	((/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* 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))) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (pow (* alpha alpha) (PI))) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))))
15.0ms	cosTheta	@	0	((/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* 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))) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (pow (* alpha alpha) (PI))) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))))
7.0ms	cosTheta	@	inf	((/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* 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))) (* (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- alpha 1) (log (pow (* alpha alpha) (PI))))) (/ (- alpha -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (- alpha -1) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (pow (* alpha alpha) (PI))) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (/ (- alpha 1) (log (pow (* alpha alpha) (PI)))))

simplify225.0ms (3.5%)

Memory

10.1MiB live, 236.7MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	828	10993
1	2181	10585
0	8211	9931

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite159.0ms (2.5%)

Memory

-20.5MiB live, 173.3MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	322
0	79	309
1	342	301
0	2577	301

Stop Event

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

Counts

24 → 717

Calls

Call 1

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

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

eval138.0ms (2.2%)

Memory: 29.2MiB live, 214.8MiB allocated; 33ms collecting garbage
Compiler: Compiled 43 209 to 3 669 computations (91.5% saved)

prune56.0ms (0.9%)

Memory

0.8MiB live, 106.4MiB allocated; 7ms collecting garbage

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	1 114	29	1 143
Fresh	13	6	19
Picked	4	1	5
Done	0	0	0
Total	1 131	36	1 167

Accuracy

100.0%

Counts

1 167 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	98.5%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))
	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
▶	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
▶	94.3%	(/.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 ( (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
	45.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx ( (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32)) alpha) (/.f32 cosTheta alpha) cosTheta) (.f32 alpha alpha))) cosTheta))))
	42.7%	(/.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)) #s(approx (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32)) alpha) (/.f32 (.f32 cosTheta cosTheta) alpha) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.6%	(/.f32 #s(approx (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
	65.9%	(/.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))))
	98.5%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
	98.2%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
	98.1%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	65.8%	#s(approx (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	94.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	94.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
	94.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal -1 binary32))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))) (log.f32 (.f32 alpha alpha))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	93.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	94.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
	94.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha))))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha))))))
	93.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (log.f32 (.f32 alpha alpha))))
▶	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))))))
▶	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))

Compiler

Compiled 2 650 to 1 581 computations (40.3% saved)

simplify243.0ms (3.8%)

Memory

-72.6MiB live, 156.4MiB allocated; 130ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha))))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
cost-diff	1	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx ( (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx ( (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
cost-diff	1	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(-.f32 alpha #s(literal -1 binary32))
cost-diff	0	(/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))
cost-diff	0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
cost-diff	3	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(*.f32 (log.f32 alpha) (PI.f32))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
cost-diff	0	#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
cost-diff	0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
cost-diff	0	(.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)))
cost-diff	1	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	599
0	96	575
1	213	570
2	687	564
3	3489	564
0	8117	564

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.8%)

Memory

-1.2MiB live, 192.6MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) alpha) alpha)
accuracy	0.28353500976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
accuracy	0.33203125	(.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.19140625	(.f32 #s(approx ( (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
accuracy	0.28353500976844204	(/.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 ( (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	1.3729907705382998	#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
accuracy	0.2890625	(/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))
accuracy	0.3515625	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
accuracy	0.39291000976844204	(/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))
accuracy	1.3805479834958696	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
accuracy	0.24609375	(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
accuracy	0.38509750976844204	(*.f32 (log.f32 alpha) (PI.f32))
accuracy	1.3805479834958696	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
accuracy	10.951879239908868	#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
accuracy	0.08726503907376806	(log.f32 (*.f32 alpha alpha))
accuracy	0.1875	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	0.28353500976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)))
accuracy	0.4030075195368841	(.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32))

Samples

79.0ms

256×

valid

Compiler

Compiled 454 to 46 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 22.0ms (35.8% of total)

ival-mult: 22.0ms (35.8% of total)

ival-add: 6.0ms (9.8% of total)

ival-sub: 6.0ms (9.8% of total)

ival-log: 5.0ms (8.1% of total)

ival-pi: 1.0ms (1.6% 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)

series183.0ms (2.9%)

Memory

40.5MiB live, 173.3MiB allocated; 30ms collecting garbage

Counts

24 → 139

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
65.0ms	cosTheta	@	-inf	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI))) (* alpha alpha) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (/ (- alpha -1) (log (* alpha alpha))) (/ (- alpha 1) (PI))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- alpha -1) (log (* alpha alpha))) (- alpha -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (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))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (PI) (log (* alpha alpha))) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (* (+ (* cosTheta cosTheta) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha)) (* alpha alpha)) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha))
37.0ms	alpha	@	-inf	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI))) (* alpha alpha) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (/ (- alpha -1) (log (* alpha alpha))) (/ (- alpha 1) (PI))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- alpha -1) (log (* alpha alpha))) (- alpha -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (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))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (PI) (log (* alpha alpha))) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (* (+ (* cosTheta cosTheta) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha)) (* alpha alpha)) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha))
31.0ms	alpha	@	inf	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI))) (* alpha alpha) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (/ (- alpha -1) (log (* alpha alpha))) (/ (- alpha 1) (PI))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- alpha -1) (log (* alpha alpha))) (- alpha -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (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))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (PI) (log (* alpha alpha))) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (* (+ (* cosTheta cosTheta) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha)) (* alpha alpha)) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha))
22.0ms	cosTheta	@	0	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI))) (* alpha alpha) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (/ (- alpha -1) (log (* alpha alpha))) (/ (- alpha 1) (PI))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- alpha -1) (log (* alpha alpha))) (- alpha -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (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))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (PI) (log (* alpha alpha))) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (* (+ (* cosTheta cosTheta) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha)) (* alpha alpha)) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha))
17.0ms	alpha	@	0	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI))) (* alpha alpha) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (/ (- alpha -1) (log (* alpha alpha))) (/ (- alpha 1) (PI))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- alpha -1) (log (* alpha alpha))) (- alpha -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (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))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) (* (PI) (log (* alpha alpha))) (* (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) cosTheta) cosTheta) (* (+ (* cosTheta cosTheta) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha)) (* alpha alpha)) (/ (/ (- 1 (* cosTheta cosTheta)) alpha) alpha))

simplify183.0ms (2.9%)

Memory

-27.2MiB live, 157.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	498	5955
1	1292	5742
2	5766	5482
0	8392	5162

Stop Event

1×	iter limit
1×	node limit

Counts

139 → 139

Calls

Call 1

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

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

rewrite164.0ms (2.6%)

Memory

12.7MiB live, 154.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	421
0	96	403
1	371	385
0	3089	385

Stop Event

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

Counts

24 → 451

Calls

Call 1

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

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

eval145.0ms (2.3%)

Memory: -21.1MiB live, 130.2MiB allocated; 31ms collecting garbage
Compiler: Compiled 39 333 to 2 767 computations (93% saved)

prune46.0ms (0.7%)

Memory

9.0MiB live, 99.0MiB allocated; 10ms collecting garbage

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	858	20	878
Fresh	17	13	30
Picked	4	1	5
Done	0	1	1
Total	879	35	914

Accuracy

100.0%

Counts

914 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)))
	98.0%	(/.f32 (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)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))))
	98.5%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.4%	(/.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 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) alpha) alpha)) alpha) alpha))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.6%	(/.f32 #s(approx (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
	97.8%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)))
	65.9%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)))
▶	65.9%	(/.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))))
	98.5%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
	98.1%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	65.8%	#s(approx (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	94.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
	94.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))) (log.f32 (.f32 alpha alpha))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
▶	93.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
▶	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
	93.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (log.f32 (.f32 alpha alpha))))
	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	93.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 (/.f32 (.f32 alpha alpha) (-.f32 alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(approx (/ (- alpha -1) (log ( alpha alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal 1/2 binary32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(approx (/ (- alpha -1) (log ( alpha alpha))) (*.f32 (neg.f32 alpha) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) alpha) #s(literal 1/2 binary32)) (neg.f32 (log.f32 alpha))))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	94.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) alpha) alpha #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
▶	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
✓	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha))))

Compiler

Compiled 2 558 to 1 531 computations (40.1% saved)

simplify151.0ms (2.4%)

Memory

14.6MiB live, 200.4MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha))
cost-diff	0	(/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)) (PI.f32))
cost-diff	0	(/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha)))
cost-diff	0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
cost-diff	0	#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
cost-diff	0	(/.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))))
cost-diff	1	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	1	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
cost-diff	0	(-.f32 alpha #s(literal 1 binary32))
cost-diff	0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
cost-diff	2	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha)))))
cost-diff	3	(*.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32))))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) (PI.f32))
cost-diff	0	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
cost-diff	0	#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha)))
cost-diff	0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
cost-diff	0	(.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
cost-diff	1	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	501
0	97	479
1	191	479
2	612	466
3	4314	466
0	8241	466

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (2.1%)

Memory

12.7MiB live, 204.7MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.29296875	(/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)) (PI.f32))
accuracy	0.3671875	(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)
accuracy	0.3828125	(/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha)))
accuracy	1.3805479834958696	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
accuracy	0.1875	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28353500976844204	(/.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))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	11.340063311719883	#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
accuracy	0.27181625976844204	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha)))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (neg.f32 (log.f32 (.f32 alpha alpha))))
accuracy	0.4375	(*.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32))))
accuracy	1.3805479834958696	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
accuracy	0.0	(PI.f32)
accuracy	0.4896087890737681	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
accuracy	1.3805479834958696	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
accuracy	10.951879239908868	#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha)))
accuracy	0.037441259768442016	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
accuracy	0.0546875	(.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
accuracy	0.28353500976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))

Samples

94.0ms

256×

valid

Compiler

Compiled 407 to 42 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 30.0ms (48.8% of total)

ival-div: 15.0ms (24.4% of total)

ival-log: 5.0ms (8.1% of total)

ival-sub: 4.0ms (6.5% of total)

ival-add: 3.0ms (4.9% of total)

ival-neg: 2.0ms (3.3% of total)

ival-pi: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series92.0ms (1.4%)

Memory

-4.4MiB live, 181.6MiB allocated; 26ms collecting garbage

Counts

25 → 113

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	alpha	@	-inf	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (/ -1/2 (PI)) (log alpha)) (/ -1/2 (PI)) (* (- alpha 1) (neg (- alpha -1))) (/ (* (- alpha 1) (neg (- alpha -1))) (* (PI) (neg (log (* alpha alpha))))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) (* (PI) (* 2 (log alpha))) (PI) (* (PI) (neg (log (* alpha alpha)))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ 1 (* alpha alpha))) alpha) alpha))
20.0ms	alpha	@	inf	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (/ -1/2 (PI)) (log alpha)) (/ -1/2 (PI)) (* (- alpha 1) (neg (- alpha -1))) (/ (* (- alpha 1) (neg (- alpha -1))) (* (PI) (neg (log (* alpha alpha))))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) (* (PI) (* 2 (log alpha))) (PI) (* (PI) (neg (log (* alpha alpha)))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ 1 (* alpha alpha))) alpha) alpha))
19.0ms	alpha	@	0	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (/ -1/2 (PI)) (log alpha)) (/ -1/2 (PI)) (* (- alpha 1) (neg (- alpha -1))) (/ (* (- alpha 1) (neg (- alpha -1))) (* (PI) (neg (log (* alpha alpha))))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) (* (PI) (* 2 (log alpha))) (PI) (* (PI) (neg (log (* alpha alpha)))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ 1 (* alpha alpha))) alpha) alpha))
11.0ms	cosTheta	@	inf	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (/ -1/2 (PI)) (log alpha)) (/ -1/2 (PI)) (* (- alpha 1) (neg (- alpha -1))) (/ (* (- alpha 1) (neg (- alpha -1))) (* (PI) (neg (log (* alpha alpha))))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) (* (PI) (* 2 (log alpha))) (PI) (* (PI) (neg (log (* alpha alpha)))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ 1 (* alpha alpha))) alpha) alpha))
6.0ms	cosTheta	@	0	((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (/ -1/2 (PI)) (log alpha)) (/ -1/2 (PI)) (* (- alpha 1) (neg (- alpha -1))) (/ (* (- alpha 1) (neg (- alpha -1))) (* (PI) (neg (log (* alpha alpha))))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) (* (PI) (* 2 (log alpha))) (PI) (* (PI) (neg (log (* alpha alpha)))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ 1 (* alpha alpha))) alpha) alpha))

simplify172.0ms (2.7%)

Memory

22.6MiB live, 172.0MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	4915
1	1513	4738
0	8252	4448

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 113

Calls

Call 1

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

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

rewrite91.0ms (1.4%)

Memory

-38.8MiB live, 104.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	371
0	97	353
1	316	329
0	2116	329

Stop Event

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

Counts

25 → 453

Calls

Call 1

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

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

eval62.0ms (1%)

Memory: 37.8MiB live, 129.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 27 065 to 2 720 computations (90% saved)

prune53.0ms (0.8%)

Memory

-32.0MiB live, 116.5MiB allocated; 8ms collecting garbage

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	676	18	694
Fresh	11	17	28
Picked	4	1	5
Done	0	2	2
Total	691	38	729

Accuracy

100.0%

Counts

729 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)))
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	98.5%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.4%	(/.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 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) alpha) alpha)) alpha) alpha))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (log (* alpha alpha)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.6%	(/.f32 #s(approx (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
	97.8%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)))
	65.9%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	65.9%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))
	65.8%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.5%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
	98.2%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	65.8%	#s(approx (/ (/ (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	94.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))))
	94.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))))
	94.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))
	94.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha)))
✓	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) #s(approx (* (* (- 1 (/ 1 (* alpha alpha))) alpha) alpha) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha)))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal -2 binary32) (log.f32 alpha)) (PI.f32)))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (PI.f32)))
	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32)))) (.f32 (*.f32 #s(literal -2 binary32) (log.f32 alpha)) (PI.f32))))
	93.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (log.f32 (.f32 alpha alpha))))
	45.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 #s(approx (- alpha 1) #s(literal -1 binary32)) (neg.f32 (-.f32 alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
	93.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (* (- alpha 1) (neg (- alpha -1))) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)) alpha) alpha)) (.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (* (- alpha 1) (neg (- alpha -1))) #s(literal 1 binary32)) (.f32 (PI.f32) (neg.f32 (log.f32 (.f32 alpha alpha))))))
	94.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	93.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 (/.f32 (.f32 alpha alpha) (-.f32 alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32)))) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))))
	94.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(approx (/ (- alpha -1) (log ( alpha alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal 1/2 binary32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))))
	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
✓	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
✓	63.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	94.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha))))

Compiler

Compiled 4 887 to 1 285 computations (73.7% saved)

regimes93.0ms (1.5%)

Memory

29.0MiB live, 172.0MiB allocated; 6ms collecting garbage

Counts

92 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

24.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
23.0ms	alpha
22.0ms	(*.f32 alpha alpha)
21.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes91.0ms (1.4%)

Memory

-1.8MiB live, 145.1MiB allocated; 16ms collecting garbage

Counts

83 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

26.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
21.0ms	alpha
20.0ms	cosTheta
19.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes123.0ms (1.9%)

Memory

-13.6MiB live, 124.5MiB allocated; 7ms collecting garbage

Counts

81 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

45.0ms	cosTheta
28.0ms	alpha
27.0ms	(*.f32 alpha alpha)
19.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes78.0ms (1.2%)

Memory

10.4MiB live, 62.2MiB allocated; 7ms collecting garbage

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

44.0ms	alpha
11.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
11.0ms	(*.f32 alpha alpha)
11.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes62.0ms (1%)

Memory

-1.4MiB live, 44.0MiB allocated; 3ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

35.0ms	cosTheta
9.0ms	(/.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))))
9.0ms	alpha
8.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
97.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
97.4%	1	`(*.f32 alpha alpha)`
97.4%	1	`cosTheta`
97.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes50.0ms (0.8%)

Memory

-4.8MiB live, 41.5MiB allocated; 2ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

25.0ms	cosTheta
8.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
8.0ms	alpha
8.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
94.5%	1	`(*.f32 alpha alpha)`
94.5%	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))))`
94.5%	1	`cosTheta`
94.5%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes20.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
94.5%	1	`cosTheta`
94.5%	1	`(*.f32 alpha alpha)`
94.5%	1	`alpha`
94.5%	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))))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes20.0ms (0.3%)

Memory

-28.0MiB live, 19.6MiB allocated; 1ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

14.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
2.0ms	(*.f32 alpha alpha)
2.0ms	cosTheta
2.0ms	alpha

Results

Accuracy	Segments	Branch
63.6%	1	`cosTheta`
63.6%	1	`(*.f32 alpha alpha)`
63.6%	1	`alpha`
63.6%	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))))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.6%	1	`(*.f32 alpha alpha)`
63.6%	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))))`
63.6%	1	`cosTheta`
63.6%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify61.0ms (0.9%)

Memory

-26.7MiB live, 113.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	305
1	145	305
2	400	303
3	2243	303

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations269.0ms (4.2%)

Memory

13.4MiB live, 309.6MiB allocated; 80ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 303 to 73 computations (75.9% saved)

preprocess74.0ms (1.2%)

Memory

-17.4MiB live, 76.9MiB allocated; 7ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 822 to 276 computations (66.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze182.0ms (2.8%)

sample1.6s (24.9%)

explain162.0ms (2.5%)

preprocess198.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify126.0ms (2%)

localize53.0ms (0.8%)

series58.0ms (0.9%)

simplify194.0ms (3%)

rewrite59.0ms (0.9%)

eval27.0ms (0.4%)

prune26.0ms (0.4%)

simplify109.0ms (1.7%)

localize139.0ms (2.2%)

series114.0ms (1.8%)

simplify225.0ms (3.5%)

rewrite159.0ms (2.5%)

eval138.0ms (2.2%)

prune56.0ms (0.9%)

simplify243.0ms (3.8%)

localize113.0ms (1.8%)

series183.0ms (2.9%)

simplify183.0ms (2.9%)

rewrite164.0ms (2.6%)

eval145.0ms (2.3%)

prune46.0ms (0.7%)

simplify151.0ms (2.4%)

localize136.0ms (2.1%)

series92.0ms (1.4%)

simplify172.0ms (2.7%)

rewrite91.0ms (1.4%)

eval62.0ms (1%)

prune53.0ms (0.8%)

regimes93.0ms (1.5%)

regimes91.0ms (1.4%)

regimes123.0ms (1.9%)

regimes78.0ms (1.2%)

regimes62.0ms (1%)

regimes50.0ms (0.8%)

regimes20.0ms (0.3%)

regimes20.0ms (0.3%)

regimes4.0ms (0.1%)

simplify61.0ms (0.9%)

derivations269.0ms (4.2%)

preprocess74.0ms (1.2%)

end0.0ms (0%)

Profiling