Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze114.0ms (1.7%)

Memory

19.1MiB live, 61.0MiB allocated; 91ms 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 (23.5%)

Memory

42.2MiB live, 1 551.3MiB allocated; 779ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 854.0ms

ival-mult: 295.0ms (34.5% of total)

const: 137.0ms (16% of total)

ival-sub: 86.0ms (10.1% of total)

ival-log: 81.0ms (9.5% of total)

ival-<=: 80.0ms (9.4% of total)

ival-div: 56.0ms (6.6% of total)

ival-pi: 42.0ms (4.9% of total)

ival-add: 39.0ms (4.6% of total)

ival-and: 22.0ms (2.6% of total)

exact: 9.0ms (1.1% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain156.0ms (2.3%)

Memory

2.3MiB live, 251.0MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

61.0ms

512×

valid

Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 15.0ms (44.9% of total)

ival-log: 7.0ms (20.9% of total)

ival-pi: 3.0ms (9% of total)

ival-div: 3.0ms (9% of total)

ival-add: 2.0ms (6% of total)

ival-sub: 2.0ms (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)

preprocess222.0ms (3.3%)

Memory

-2.1MiB live, 133.6MiB allocated; 32ms 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

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Status

Accuracy

Program

▶

98.4%

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

simplify126.0ms (1.9%)

Memory

-18.7MiB live, 70.5MiB allocated; 8ms 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

localize34.0ms (0.5%)

Memory

4.8MiB live, 47.5MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.140625	(.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	0.30078125	(/.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	0.418632519536884	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

26.0ms

256×

valid

Compiler

Compiled 93 to 15 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.4% of total)

ival-log: 6.0ms (32.9% of total)

ival-div: 2.0ms (11% of total)

ival-pi: 1.0ms (5.5% of total)

ival-add: 1.0ms (5.5% of total)

ival-sub: 1.0ms (5.5% 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)

series73.0ms (1.1%)

Memory

11.7MiB live, 74.9MiB allocated; 7ms 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
48.0ms	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))
9.0ms	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))

simplify173.0ms (2.6%)

Memory

-22.2MiB live, 111.6MiB allocated; 16ms 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))))
#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)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
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#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))))
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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) (* (* (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))))

rewrite83.0ms (1.2%)

Memory

17.7MiB live, 70.0MiB allocated; 19ms 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))))

eval26.0ms (0.4%)

Memory: 16.3MiB live, 58.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 428 to 1 115 computations (86.8% saved)

prune40.0ms (0.6%)

Memory

-21.8MiB live, 24.6MiB allocated; 3ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	233	23	256
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	234	23	257

Accuracy

100.0%

Counts

257 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	98.3%	(/.f32 (/.f32 (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))))
	98.2%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.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))))))))
	98.1%	(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	98.4%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (.f32 (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	97.8%	(/.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))))
▶	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(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)))))
	55.5%	(/.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))))
	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.0%	(/.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))))
▶	98.5%	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	97.9%	(/.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))))
	66.8%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	97.9%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	98.0%	(.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)))))
▶	94.9%	#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))))
	66.7%	#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 1 670 to 830 computations (50.3% saved)

simplify149.0ms (2.2%)

Memory

-13.2MiB live, 133.1MiB allocated; 20ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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))))
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))
cost-diff	4	(.f32 (.f32 (log.f32 (*.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff	0	(/.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))))
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	3	(*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32)))
cost-diff	0	(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(.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)))
cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
cost-diff	0	(/.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))))
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	(.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))))
cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
cost-diff	0	(neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
cost-diff	2	(/.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)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	458
0	81	418
1	190	418
2	683	416
3	3599	416
0	8270	416

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (1.5%)

Memory

51.1MiB live, 138.0MiB allocated; 8ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.30078125	(/.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))))
accuracy	0.3991012695368841	(.f32 (.f32 (log.f32 (*.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy	0.4381637695368841	(.f32 (log.f32 (.f32 alpha alpha)) (sqrt.f32 (PI.f32)))
accuracy	0.1875	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.30078125	(/.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))))
accuracy	0.418632519536884	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.45703125	(*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32)))
accuracy	0.06869125976844201	(log.f32 (*.f32 alpha alpha))
accuracy	0.1875	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	0.30078125	(/.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))))
accuracy	0.40072250976844204	(.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))
accuracy	0.06869125976844201	(log.f32 (*.f32 alpha alpha))
accuracy	0.28125	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
accuracy	0.34603500976844204	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
accuracy	1.1365432356041316	#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	0.03125	(.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
accuracy	0.1875	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	0.30078125	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
accuracy	3.147708145110722	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Samples

73.0ms

256×

valid

Compiler

Compiled 474 to 40 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 22.0ms (41.4% of total)

ival-div: 11.0ms (20.7% of total)

ival-log: 5.0ms (9.4% of total)

ival-pow: 4.0ms (7.5% of total)

ival-add: 3.0ms (5.6% of total)

ival-sub: 3.0ms (5.6% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-neg: 2.0ms (3.8% of total)

ival-pi: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series111.0ms (1.6%)

Memory

-21.1MiB live, 132.3MiB allocated; 21ms collecting garbage

Counts

22 → 187

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	cosTheta	@	0	((/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (neg (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* 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) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (- alpha 1) (- alpha -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- (* alpha alpha) 1) (/ (* (- alpha 1) (- alpha -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (log (* alpha alpha)) (sqrt (PI))))
19.0ms	alpha	@	0	((/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (neg (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* 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) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (- alpha 1) (- alpha -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- (* alpha alpha) 1) (/ (* (- alpha 1) (- alpha -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (log (* alpha alpha)) (sqrt (PI))))
18.0ms	alpha	@	inf	((/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (neg (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* 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) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (- alpha 1) (- alpha -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- (* alpha alpha) 1) (/ (* (- alpha 1) (- alpha -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (log (* alpha alpha)) (sqrt (PI))))
13.0ms	alpha	@	-inf	((/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (neg (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* 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) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (- alpha 1) (- alpha -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- (* alpha alpha) 1) (/ (* (- alpha 1) (- alpha -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (log (* alpha alpha)) (sqrt (PI))))
7.0ms	cosTheta	@	inf	((/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (neg (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* 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) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (* (- alpha 1) (- alpha -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- (* alpha alpha) 1) (/ (* (- alpha 1) (- alpha -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (pow (* alpha alpha) (PI)) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (log (* alpha alpha)) (sqrt (PI))))

simplify177.0ms (2.6%)

Memory

11.3MiB live, 234.5MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	11030
1	1953	10461
0	8593	9874

Stop Event

1×	iter limit
1×	node limit

Counts

187 → 187

Calls

Call 1

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

rewrite148.0ms (2.2%)

Memory

-21.4MiB live, 120.9MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	272
0	81	244
1	305	244
0	2158	244

Stop Event

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

Counts

22 → 812

Calls

Call 1

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

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

eval96.0ms (1.4%)

Memory: 20.5MiB live, 166.3MiB allocated; 28ms collecting garbage
Compiler: Compiled 32 087 to 2 944 computations (90.8% saved)

prune70.0ms (1%)

Memory

15.0MiB live, 107.5MiB allocated; 8ms collecting garbage

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	842	36	878
Fresh	12	6	18
Picked	4	1	5
Done	0	0	0
Total	858	43	901

Accuracy

100.0%

Counts

901 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.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))))
	97.7%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	98.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (fma.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta (PI.f32))) (log.f32 (*.f32 alpha alpha))))
	55.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (.f32 cosTheta cosTheta))) cosTheta) cosTheta)) (log.f32 (.f32 alpha alpha))))
	98.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha))) (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha))))
	95.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	97.8%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	98.2%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
	98.1%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (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))))
	98.2%	(/.f32 (/.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 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	98.0%	(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))) (-.f32 alpha #s(literal -1 binary32)))
	98.0%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.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))))
	97.4%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	94.7%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶	66.8%	(/.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))))
	66.8%	(/.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))))
	97.9%	(.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) (-.f32 alpha #s(literal 1 binary32)))
	98.0%	(.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)))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
	95.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (PI.f32) (.f32 (PI.f32) #s(literal -1 binary32))) (.f32 (PI.f32) (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)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	95.1%	#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)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
	95.0%	#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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
	94.6%	#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)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (log.f32 (*.f32 alpha alpha))))
	94.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	94.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal -1 binary32))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	94.9%	#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))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	94.8%	#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))))
▶	94.5%	#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 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	65.3%	#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))))
	66.7%	#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))))
	66.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	94.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha) (PI.f32))) (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha))))
	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)) (sqrt.f32 (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
	94.7%	#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))))
	94.9%	#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)))))
▶	94.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
▶	65.4%	#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 2 955 to 1 819 computations (38.4% saved)

simplify242.0ms (3.6%)

Memory

-24.2MiB live, 263.5MiB allocated; 30ms 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 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))
cost-diff	0	(/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (PI.f32))
cost-diff	0	(/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal 1 binary32) 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 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
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 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
cost-diff	3	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
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 (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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	489
0	90	467
1	167	467
2	423	461
3	2336	461
0	9527	461

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

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

localize141.0ms (2.1%)

Memory

8.6MiB live, 160.7MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28125	(/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (PI.f32))
accuracy	0.34603500976844204	(/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
accuracy	0.421875	(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)
accuracy	1.1365432356041316	#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 (/.f32 #s(literal 1 binary32) 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	0.30078125	(/.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	0.418632519536884	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	11.055774565363008	#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
accuracy	0.33203125	(/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))
accuracy	0.38671875	(/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
accuracy	0.4342575195368841	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
accuracy	1.1365432356041316	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
accuracy	0.27734375	(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
accuracy	0.418632519536884	(*.f32 (log.f32 alpha) (PI.f32))
accuracy	1.1365432356041316	#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	10.67593101187795	#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
accuracy	0.05373002930532605	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
accuracy	0.06869125976844201	(log.f32 (*.f32 alpha alpha))
accuracy	0.30078125	(/.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	0.418632519536884	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

66.0ms

256×

valid

Compiler

Compiled 397 to 38 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 18.0ms (36.8% of total)

ival-mult: 17.0ms (34.7% of total)

ival-log: 5.0ms (10.2% of total)

ival-sub: 4.0ms (8.2% of total)

ival-add: 3.0ms (6.1% of total)

ival-pi: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series157.0ms (2.3%)

Memory

-3.6MiB live, 132.8MiB allocated; 19ms collecting garbage

Counts

24 → 119

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

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

Calls

6 calls:

Time	Variable		Point	Expression
66.0ms	cosTheta	@	-inf	((- (* 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)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* 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) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha))
45.0ms	alpha	@	-inf	((- (* 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)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* 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) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha))
18.0ms	alpha	@	inf	((- (* 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)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* 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) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha))
16.0ms	alpha	@	0	((- (* 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)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* 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) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha))
3.0ms	cosTheta	@	0	((- (* 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)))) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (* (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* 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) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- alpha 1) (PI)) (* (- (* alpha alpha) 1) cosTheta) (* (* (- 1 (/ (/ 1 alpha) alpha)) alpha) alpha))

simplify257.0ms (3.8%)

Memory

19.5MiB live, 253.0MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	5143
1	1125	4992
2	5193	4730
0	8791	4450

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 119

Calls

Call 1

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

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

rewrite83.0ms (1.2%)

Memory

17.0MiB live, 104.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	365
0	90	347
1	289	331
0	2016	331

Stop Event

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

Counts

24 → 385

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

eval97.0ms (1.4%)

Memory: -26.8MiB live, 122.0MiB allocated; 18ms collecting garbage
Compiler: Compiled 25 200 to 2 459 computations (90.2% saved)

prune45.0ms (0.7%)

Memory

0.1MiB live, 90.5MiB allocated; 9ms collecting garbage

Pruning

42 alts after pruning (38 fresh and 4 done)

	Pruned	Kept	Total
New	655	19	674
Fresh	18	19	37
Picked	2	3	5
Done	0	1	1
Total	675	42	717

Accuracy

100.0%

Counts

717 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.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))))
	97.7%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	95.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	97.8%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
▶	98.4%	(/.f32 (/.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (PI.f32)) (.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	98.2%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
	98.1%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (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))))
▶	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.0%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.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))))
	97.4%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	94.7%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	66.8%	(/.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))))
	66.7%	(/.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)))))
	65.4%	(/.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)) #s(literal 1 binary32))))
	97.9%	(.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) (-.f32 alpha #s(literal 1 binary32)))
▶	98.0%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
▶	95.1%	#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)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
	95.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal -2 binary32)))))
	95.0%	#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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
	94.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
✓	94.5%	#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 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	66.7%	#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))))
	94.8%	#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)) (PI.f32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
	95.0%	#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)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (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)) (sqrt.f32 (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
	94.7%	#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))))
	94.9%	#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)))))
	94.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))))
	94.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 (.f32 alpha (PI.f32)) (.f32 (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 alpha alpha)))))
	94.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (PI.f32))))
✓	94.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	94.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) #s(approx (/ (/ (- alpha 1) (PI)) (log ( alpha alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))))))
	46.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) #s(approx (/ (/ (- alpha 1) (PI)) (log ( alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
	65.3%	#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))))
▶	65.3%	#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))))
✓	65.4%	#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)))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (* (- alpha -1) (/ (/ (- 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)))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (* (- alpha -1) (/ (/ (- 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 2 845 to 1 747 computations (38.6% saved)

simplify185.0ms (2.7%)

Memory

-3.7MiB live, 171.5MiB allocated; 69ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	435
0	95	422
1	217	422
2	677	419
3	3405	419
0	8606	419

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (2.6%)

Memory

-20.3MiB live, 165.0MiB allocated; 29ms 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	0.24609375	(/.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))))
accuracy	0.40072250976844204	(.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))
accuracy	0.41634750976844204	(.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)))))
accuracy	0.06869125976844201	(log.f32 (*.f32 alpha alpha))
accuracy	0.25056934938865905	#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
accuracy	0.30078125	(/.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)))))
accuracy	0.418632519536884	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.06869125976844201	(log.f32 (*.f32 alpha alpha))
accuracy	0.3671875	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32))
accuracy	0.38119125976844204	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))
accuracy	1.1365432356041316	#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)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
accuracy	0.0	(PI.f32)
accuracy	0.537441259768442	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
accuracy	1.1365432356041316	#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	10.67593101187795	#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha)))
accuracy	0.11623002930532605	(log.f32 (pow.f32 alpha #s(literal -2 binary32)))
accuracy	0.1875	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	0.28125	(/.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (PI.f32))
accuracy	0.33984375	(/.f32 (/.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (PI.f32)) (.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))

Samples

140.0ms

256×

valid

Compiler

Compiled 409 to 49 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 52.0ms (51.7% of total)

ival-div: 16.0ms (15.9% of total)

ival-add: 16.0ms (15.9% of total)

ival-log: 7.0ms (7% of total)

ival-sub: 4.0ms (4% of total)

ival-pow: 3.0ms (3% of total)

ival-pi: 1.0ms (1% of total)

ival-neg: 1.0ms (1% 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)

series108.0ms (1.6%)

Memory

31.7MiB live, 222.9MiB allocated; 23ms collecting garbage

Counts

27 → 190

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	alpha	@	0	((/ (/ (+ (* (neg alpha) alpha) 1) (PI)) (* (log (pow alpha -2)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (/ (+ (* (neg alpha) alpha) 1) (PI)) (+ (* (neg alpha) alpha) 1) (neg alpha) (/ (- (* 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 alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/ (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (PI)) (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (+ (* alpha alpha) -1) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))) (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (- alpha 1) (* cosTheta (+ (* alpha alpha) -1)) (log (pow alpha -2)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))
27.0ms	alpha	@	inf	((/ (/ (+ (* (neg alpha) alpha) 1) (PI)) (* (log (pow alpha -2)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (/ (+ (* (neg alpha) alpha) 1) (PI)) (+ (* (neg alpha) alpha) 1) (neg alpha) (/ (- (* 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 alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/ (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (PI)) (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (+ (* alpha alpha) -1) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))) (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (- alpha 1) (* cosTheta (+ (* alpha alpha) -1)) (log (pow alpha -2)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))
26.0ms	alpha	@	-inf	((/ (/ (+ (* (neg alpha) alpha) 1) (PI)) (* (log (pow alpha -2)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (/ (+ (* (neg alpha) alpha) 1) (PI)) (+ (* (neg alpha) alpha) 1) (neg alpha) (/ (- (* 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 alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/ (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (PI)) (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (+ (* alpha alpha) -1) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))) (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (- alpha 1) (* cosTheta (+ (* alpha alpha) -1)) (log (pow alpha -2)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))
8.0ms	cosTheta	@	-inf	((/ (/ (+ (* (neg alpha) alpha) 1) (PI)) (* (log (pow alpha -2)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (/ (+ (* (neg alpha) alpha) 1) (PI)) (+ (* (neg alpha) alpha) 1) (neg alpha) (/ (- (* 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 alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/ (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (PI)) (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (+ (* alpha alpha) -1) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))) (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (- alpha 1) (* cosTheta (+ (* alpha alpha) -1)) (log (pow alpha -2)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))
6.0ms	cosTheta	@	inf	((/ (/ (+ (* (neg alpha) alpha) 1) (PI)) (* (log (pow alpha -2)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (/ (+ (* (neg alpha) alpha) 1) (PI)) (+ (* (neg alpha) alpha) 1) (neg alpha) (/ (- (* 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 alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/ (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (PI)) (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (+ (* alpha alpha) -1) (- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))) (- alpha -1) (/ (- alpha 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))) (- alpha 1) (* cosTheta (+ (* alpha alpha) -1)) (log (pow alpha -2)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))))

simplify228.0ms (3.4%)

Memory

-1.2MiB live, 287.2MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	785	10997
1	2242	10464
0	8622	9907

Stop Event

1×	iter limit
1×	node limit

Counts

190 → 190

Calls

Call 1

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

rewrite116.0ms (1.7%)

Memory

2.7MiB live, 92.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	331
0	95	316
1	379	314
0	2785	314

Stop Event

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

Counts

27 → 683

Calls

Call 1

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

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

eval124.0ms (1.8%)

Memory: -21.7MiB live, 169.2MiB allocated; 21ms collecting garbage
Compiler: Compiled 36 020 to 3 318 computations (90.8% saved)

prune73.0ms (1.1%)

Memory

8.6MiB live, 156.4MiB allocated; 15ms collecting garbage

Pruning

43 alts after pruning (36 fresh and 7 done)

	Pruned	Kept	Total
New	896	15	911
Fresh	12	21	33
Picked	2	3	5
Done	0	4	4
Total	910	43	953

Accuracy

100.0%

Counts

953 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.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))))
	97.7%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	97.7%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))))
	95.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	97.8%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	98.3%	(/.f32 (/.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (PI.f32)) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	97.9%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	97.8%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
	98.1%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (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))))
	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.2%	(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
	97.4%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	94.7%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	66.8%	(/.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))))
	66.7%	(/.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)))))
	65.4%	(/.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)) #s(literal 1 binary32))))
	97.4%	(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.4%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (neg.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)))))
✓	98.0%	(.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)))))
	97.4%	(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))))
✓	95.1%	#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)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
	95.0%	#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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
	94.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (PI.f32)))
	65.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 #s(approx (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))) (PI.f32)))
	94.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (PI.f32))) (log.f32 (*.f32 alpha alpha))))
	94.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
✓	94.5%	#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 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	66.7%	#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))))
	94.8%	#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)) (PI.f32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (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 alpha #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
	94.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))))
	94.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 (.f32 alpha (PI.f32)) (.f32 (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 alpha alpha)))))
	94.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (PI.f32))))
✓	94.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	94.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) #s(approx (/ (/ (- alpha 1) (PI)) (log ( alpha alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) alpha #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))))))
	46.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) #s(approx (/ (/ (- alpha 1) (PI)) (log ( alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
✓	65.3%	#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))))
✓	65.4%	#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)))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (* (- alpha -1) (/ (/ (- 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 4 926 to 1 359 computations (72.4% saved)

regimes105.0ms (1.6%)

Memory

-2.0MiB live, 230.9MiB allocated; 26ms collecting garbage

Counts

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

28.0ms	cosTheta
25.0ms	alpha
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))))
24.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes123.0ms (1.8%)

Memory

7.4MiB live, 108.1MiB allocated; 20ms 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))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 #s(approx (/ (+ (* alpha alpha) -1) (log (* alpha alpha))) (/.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 (-.f32 alpha #s(literal -1 binary32)) #s(approx (/ (/ (- alpha 1) (PI)) (log ( alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (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)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (* (- alpha -1) (/ (/ (- 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))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (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 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (.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 alpha #s(literal -1 binary32)) #s(approx (/ (/ (- alpha 1) (PI)) (log ( alpha alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) 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 (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))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.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))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #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) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #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 alpha #s(literal -1 binary32)) (/.f32 (/.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 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 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)) (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 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (PI.f32)) (log.f32 (.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (PI.f32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) 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(literal 1 binary32) (*.f32 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))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha (/.f32 alpha (PI.f32)) (/.f32 #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 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (.f32 (PI.f32) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (* (- alpha -1) (/ (/ (- alpha 1) (PI)) (log (* alpha alpha)))) (.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha))))
(/.f32 #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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (PI.f32) (.f32 (PI.f32) #s(literal -1 binary32))) (.f32 (PI.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 (fma.f32 alpha 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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (fma.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta (PI.f32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #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))) (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)))) (.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 (.f32 alpha (PI.f32)) (.f32 (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 alpha alpha)))))
(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (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 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal -1 binary32))) (-.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 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.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)) (.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)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (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)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (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 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))) (-.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 alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) 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 (-.f32 alpha #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 (-.f32 alpha #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (.f32 cosTheta cosTheta))) cosTheta) cosTheta)) (log.f32 (.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (PI.f32)) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.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 #s(approx (/ (+ (* alpha alpha) -1) (PI)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha) (PI.f32))) (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (neg.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 #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 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))) (-.f32 alpha #s(literal -1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha))) (.f32 alpha alpha))) (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 (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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal -2 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)) (-.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))))

Outputs

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

Calls

4 calls:

59.0ms	(*.f32 alpha alpha)
21.0ms	alpha
20.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
19.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.4%	1	`(*.f32 alpha alpha)`
98.4%	1	`cosTheta`
98.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes73.0ms (1.1%)

Memory

-3.2MiB live, 129.2MiB allocated; 11ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

24.0ms	alpha
17.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
16.0ms	(*.f32 alpha alpha)
14.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f32 alpha alpha)`
98.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.4%	1	`cosTheta`
98.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes66.0ms (1%)

Memory

18.8MiB live, 77.6MiB allocated; 4ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

26.0ms	cosTheta
13.0ms	(/.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))))
13.0ms	(*.f32 alpha alpha)
12.0ms	alpha

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f32 alpha alpha)`
98.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.4%	1	`cosTheta`
98.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes62.0ms (0.9%)

Memory

-25.3MiB live, 110.4MiB allocated; 8ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

20.0ms	alpha
14.0ms	(*.f32 alpha alpha)
14.0ms	cosTheta
12.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f32 alpha alpha)`
98.3%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.3%	1	`cosTheta`
98.3%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes97.0ms (1.4%)

Memory

13.2MiB live, 110.6MiB allocated; 11ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

43.0ms	cosTheta
29.0ms	(/.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))))
12.0ms	alpha
11.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
97.9%	1	`(*.f32 alpha alpha)`
97.9%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
97.9%	1	`cosTheta`
97.9%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes66.0ms (1%)

Memory

0.6MiB live, 93.8MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

22.0ms	(*.f32 alpha alpha)
21.0ms	alpha
10.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
10.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f32 alpha alpha)`
97.8%	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))))`
97.8%	1	`cosTheta`
97.8%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes74.0ms (1.1%)

Memory

3.9MiB live, 57.6MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

42.0ms	cosTheta
10.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
10.0ms	alpha
10.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f32 alpha alpha)`
97.8%	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))))`
97.8%	1	`cosTheta`
97.8%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes55.0ms (0.8%)

Memory

0.7MiB live, 45.5MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

30.0ms	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
95.1%	1	`(*.f32 alpha alpha)`
95.1%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.1%	1	`cosTheta`
95.1%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes23.0ms (0.3%)

Memory

-10.2MiB live, 32.6MiB allocated; 6ms collecting garbage

Counts

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

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)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))

Calls

4 calls:

9.0ms	(*.f32 alpha alpha)
4.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
4.0ms	alpha
4.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.0%	1	`cosTheta`
95.0%	1	`(*.f32 alpha alpha)`
95.0%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.0%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes17.0ms (0.3%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

(/.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))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.0%	1	`cosTheta`
95.0%	1	`(*.f32 alpha alpha)`
95.0%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.0%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes19.0ms (0.3%)

Memory

-14.6MiB live, 29.1MiB allocated; 4ms collecting garbage

Counts

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

9.0ms	alpha
3.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
3.0ms	(*.f32 alpha alpha)
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.0%	1	`cosTheta`
95.0%	1	`(*.f32 alpha alpha)`
95.0%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.0%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes9.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Accuracy

Total -6.0b remaining (-54.4%)

Threshold costs -6b (-54.4%)

Counts

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

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:

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

Results

Accuracy	Segments	Branch
65.4%	1	`cosTheta`
65.4%	1	`(*.f32 alpha alpha)`
65.4%	1	`alpha`
65.4%	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))))`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify57.0ms (0.8%)

Memory

-22.7MiB live, 38.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	417
1	191	417
2	520	415
3	2535	413

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations330.0ms (4.9%)

Memory

4.5MiB live, 374.2MiB allocated; 32ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 413 to 90 computations (78.2% saved)

preprocess66.0ms (1%)

Memory

8.4MiB live, 138.3MiB allocated; 27ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 294 to 466 computations (64% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze114.0ms (1.7%)

sample1.6s (23.5%)

explain156.0ms (2.3%)

preprocess222.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify126.0ms (1.9%)

localize34.0ms (0.5%)

series73.0ms (1.1%)

simplify173.0ms (2.6%)

rewrite83.0ms (1.2%)

eval26.0ms (0.4%)

prune40.0ms (0.6%)

simplify149.0ms (2.2%)

localize103.0ms (1.5%)

series111.0ms (1.6%)

simplify177.0ms (2.6%)

rewrite148.0ms (2.2%)

eval96.0ms (1.4%)

prune70.0ms (1%)

simplify242.0ms (3.6%)

localize141.0ms (2.1%)

series157.0ms (2.3%)

simplify257.0ms (3.8%)

rewrite83.0ms (1.2%)

eval97.0ms (1.4%)

prune45.0ms (0.7%)

simplify185.0ms (2.7%)

localize173.0ms (2.6%)

series108.0ms (1.6%)

simplify228.0ms (3.4%)

rewrite116.0ms (1.7%)

eval124.0ms (1.8%)

prune73.0ms (1.1%)

regimes105.0ms (1.6%)

regimes123.0ms (1.8%)

regimes73.0ms (1.1%)

regimes66.0ms (1%)

regimes62.0ms (0.9%)

regimes97.0ms (1.4%)

regimes66.0ms (1%)

regimes74.0ms (1.1%)

regimes55.0ms (0.8%)

regimes23.0ms (0.3%)

regimes17.0ms (0.3%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

simplify57.0ms (0.8%)

derivations330.0ms (4.9%)

preprocess66.0ms (1%)

end0.0ms (0%)

Profiling