Metrics for GTR1 distribution

analyze59.0ms (0.6%)

Memory

28.6MiB live, 67.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

sample2.1s (22.6%)

Memory

11.6MiB live, 2 052.4MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 395.0ms (32% of total)

const: 322.0ms (26.1% of total)

ival-div: 95.0ms (7.7% of total)

ival-log: 89.0ms (7.2% of total)

ival-<=: 84.0ms (6.8% of total)

ival-sub: 83.0ms (6.7% of total)

ival-add: 74.0ms (6% of total)

ival-pi: 55.0ms (4.5% of total)

ival-and: 24.0ms (1.9% of total)

exact: 11.0ms (0.9% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess417.0ms (4.4%)

Memory

-9.0MiB live, 594.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 798×	`lower-fma.f64`
12 798×	`lower-fma.f32`
4 578×	`lower-*.f64`
4 568×	`lower-*.f32`
2 370×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	130
1	148	122
2	629	120
3	3565	120
4	7829	120
0	13	24
0	23	24
1	51	24
2	159	24
3	643	24
4	2693	24
5	4403	24
6	7704	24
0	8552	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 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))

Symmetry

(abs alpha)

(abs cosTheta)

explain230.0ms (2.5%)

Memory

23.3MiB live, 303.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))`
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(log.f32 (*.f32 alpha alpha))`
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))`
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(PI.f32)`
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)`
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))`
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(/.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))))`
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)`
256	-	256	(2.5293972894504347e-26 0.0027132113464176655)	`(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`cosTheta`
0	-	0	-	`alpha`
0	-	0	-	`(*.f32 alpha alpha)`

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

66.0ms

512×

valid

Compiler

Compiled 331 to 69 computations (79.2% saved)

Precisions

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

ival-mult: 34.0ms (66.6% of total)

ival-log: 6.0ms (11.8% of total)

ival-div: 4.0ms (7.8% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.5%

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

Compiler

Compiled 26 to 13 computations (50% saved)

simplify349.0ms (3.7%)

Memory

12.9MiB live, 649.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
✓	cost-diff	64	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))

Rules

12 798×	`lower-fma.f64`
12 798×	`lower-fma.f32`
4 578×	`lower-*.f64`
4 568×	`lower-*.f32`
2 370×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	91
0	23	91
1	51	91
2	159	91
3	643	91
4	2693	91
5	4403	91
6	7704	91
0	8552	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 (PI.f32) (.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))
(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 (PI.f32) (.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))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #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 cosTheta cosTheta))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
cosTheta

localize70.0ms (0.7%)

Memory

-9.3MiB live, 107.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	5.4%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
✓	accuracy	3.2%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	accuracy	3.1%	(PI.f32)
✓	accuracy	3.1%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

57.0ms

256×

valid

Compiler

Compiled 186 to 28 computations (84.9% saved)

Precisions

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

ival-div: 34.0ms (70% of total)

ival-mult: 8.0ms (16.5% of total)

ival-log: 3.0ms (6.2% of total)

ival-pi: 1.0ms (2.1% of total)

ival-add: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.7%)

Memory

24.0MiB live, 176.2MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- alpha 1)>
#<alt (- alpha 1)>
#<alt (- alpha 1)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (+ 1 (* -1 (pow cosTheta 3)))>
#<alt (+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))>
#<alt (+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))>
#<alt (+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))>
#<alt (* (pow alpha 3) (pow cosTheta 3))>
#<alt (* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))>
#<alt (* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))>
#<alt (* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))>
#<alt (* -1 (* (pow alpha 3) (pow cosTheta 3)))>
#<alt (* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))>
#<alt (* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))>
#<alt (* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))>
#<alt 1>
#<alt (+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))>
#<alt (+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))>
#<alt (+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))>
#<alt (* (pow cosTheta 3) (- (pow alpha 3) 1))>
#<alt (* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))>
#<alt (* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))>
#<alt (* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))>
#<alt (* -1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))>
#<alt (* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))>
#<alt (* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))>
#<alt (* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))>
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))>
#<alt (- (* (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))))))))>
#<alt (- (* (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))))))))>
#<alt (- (* (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))))))))>
#<alt (/ -1/3 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))>
#<alt (- (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))>
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 3)))) (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))>
#<alt (- (+ (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 9) (pow cosTheta 6)))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 3))))))>
#<alt (/ -1/3 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))>
#<alt (- (* -1 (/ (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))>
#<alt (- (* -1 (/ (- (+ (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 3) (pow cosTheta 3)))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 3) (pow cosTheta 6)))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (pow cosTheta 3))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))>
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* (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)))))>
#<alt (- (+ (* (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)))))>
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))>
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 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))>
#<alt (/ (- (+ (/ 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))>
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))>
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 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))>
#<alt (/ (- (+ (/ 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))>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>

Calls

21 calls:

Time	Variable		Point	Expression
30.0ms	alpha	@	0	(* (PI) (log (* alpha alpha)))
8.0ms	alpha	@	inf	(* (PI) (log (* alpha alpha)))
7.0ms	alpha	@	-inf	(* (PI) (log (* alpha alpha)))
4.0ms	alpha	@	inf	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms	alpha	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

Compiler

Compiled 329 to 200 computations (39.2% saved)

rewrite360.0ms (3.8%)

Memory

-19.6MiB live, 871.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 278×	`lower-*.f64`
6 268×	`lower-*.f32`
5 746×	`lower-fma.f64`
5 746×	`lower-fma.f32`
3 952×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	23	50
1	98	50
2	768	48
0	8446	42

Stop Event

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

Counts

6 → 557

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)))
(PI.f32)

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

simplify406.0ms (4.3%)

Memory

-11.2MiB live, 741.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 976×	`lower-fma.f64`
7 976×	`lower-fma.f32`
6 858×	`lower-*.f64`
6 858×	`lower-*.f32`
3 290×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	1937
1	642	1886
2	2643	1830
0	8053	1774

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

Inputs
-1
(- alpha 1)
(- alpha 1)
(- alpha 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(+ 1 (* -1 (pow cosTheta 3)))
(+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))
(+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))
(+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))
(* (pow alpha 3) (pow cosTheta 3))
(* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))
(* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))
(* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))
(* -1 (* (pow alpha 3) (pow cosTheta 3)))
(* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))
(* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))
(* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))
1
(+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))
(+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))
(+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))
(* (pow cosTheta 3) (- (pow alpha 3) 1))
(* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))
(* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))
(* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))
(* -1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))
(* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))
(* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))
(* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(/ -1/3 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 3)))) (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 9) (pow cosTheta 6)))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 3))))))
(/ -1/3 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))
(- (* -1 (/ (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))
(- (* -1 (/ (- (+ (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 3) (pow cosTheta 3)))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 3) (pow cosTheta 6)))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (pow cosTheta 3))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
alpha
alpha
alpha
alpha
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))

Outputs
-1
#s(literal -1 binary32)
(- alpha 1)
(+.f32 #s(literal -1 binary32) alpha)
(- alpha 1)
(+.f32 #s(literal -1 binary32) alpha)
(- alpha 1)
(+.f32 #s(literal -1 binary32) alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha)
(+ 1 (* -1 (pow cosTheta 3)))
(fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))
(+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (pow cosTheta 3)) (* (pow alpha 3) (pow cosTheta 3))))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(* (pow alpha 3) (pow cosTheta 3))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 alpha (*.f32 alpha alpha)))
(* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))
(fma.f32 (.f32 alpha (.f32 alpha alpha)) (fma.f32 (neg.f32 (.f32 cosTheta cosTheta)) (/.f32 cosTheta (.f32 alpha (.f32 alpha alpha))) (.f32 cosTheta (*.f32 cosTheta cosTheta))) #s(literal 1 binary32))
(* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))
(fma.f32 (.f32 alpha (.f32 alpha alpha)) (fma.f32 (neg.f32 (.f32 cosTheta cosTheta)) (/.f32 cosTheta (.f32 alpha (.f32 alpha alpha))) (.f32 cosTheta (*.f32 cosTheta cosTheta))) #s(literal 1 binary32))
(* (pow alpha 3) (+ (* -1 (/ (pow cosTheta 3) (pow alpha 3))) (+ (/ 1 (pow alpha 3)) (pow cosTheta 3))))
(fma.f32 (.f32 alpha (.f32 alpha alpha)) (fma.f32 (neg.f32 (.f32 cosTheta cosTheta)) (/.f32 cosTheta (.f32 alpha (.f32 alpha alpha))) (.f32 cosTheta (*.f32 cosTheta cosTheta))) #s(literal 1 binary32))
(* -1 (* (pow alpha 3) (pow cosTheta 3)))
(.f32 (.f32 alpha alpha) (neg.f32 (.f32 alpha (.f32 cosTheta (*.f32 cosTheta cosTheta)))))
(* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))
(.f32 (fma.f32 cosTheta (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))
(* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))
(.f32 (fma.f32 cosTheta (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))
(* -1 (* (pow alpha 3) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 3))) (pow alpha 3))) (pow cosTheta 3))))
(.f32 (fma.f32 cosTheta (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))
1
#s(literal 1 binary32)
(+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(* (pow cosTheta 3) (- (pow alpha 3) 1))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))
(* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(* (pow cosTheta 3) (- (+ (/ 1 (pow cosTheta 3)) (pow alpha 3)) 1))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) #s(literal 1 binary32))
(* -1 (* (pow cosTheta 3) (- (pow alpha 3) 1)))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 (.f32 alpha alpha) (neg.f32 alpha) #s(literal 1 binary32)))
(* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 (+.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 cosTheta cosTheta))))))
(* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 (+.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 cosTheta cosTheta))))))
(* -1 (* (pow cosTheta 3) (- (pow alpha 3) (+ 1 (/ 1 (pow cosTheta 3))))))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 (+.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 cosTheta cosTheta))))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 alpha (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 alpha (.f32 alpha (fma.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 (.f32 alpha alpha) (fma.f32 (.f32 alpha alpha) (fma.f32 (.f32 alpha alpha) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))
(/ -1/3 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))
(/.f32 #s(literal -1/3 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32))))
(- (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (.f32 alpha (.f32 alpha alpha))))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 alpha (.f32 alpha alpha))))) (/.f32 #s(literal -1/3 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 3)))) (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))
(-.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (.f32 alpha (.f32 alpha alpha))))) (fma.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))) (log.f32 alpha))) (/.f32 #s(literal 1/3 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32))))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (pow.f32 alpha #s(literal 6 binary32)))) (fma.f32 #s(literal -1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 alpha (.f32 alpha alpha))))) (/.f32 #s(literal 1/3 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32)))))))
(- (+ (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 9) (pow cosTheta 6)))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 3))))))
(-.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))) (log.f32 alpha))) (/.f32 #s(literal 1/3 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32))))) (/.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 alpha #s(literal 9 binary32)))) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (.f32 alpha (.f32 alpha alpha)))))) (fma.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))) (log.f32 alpha))) (/.f32 #s(literal 1/3 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32))))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (pow.f32 alpha #s(literal 6 binary32)))) (fma.f32 #s(literal -1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 alpha (.f32 alpha alpha))))) (/.f32 #s(literal 1/3 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32)))))))
(/ -1/3 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))
(/.f32 #s(literal -1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32))))
(- (* -1 (/ (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))
(fma.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32)))))) (.f32 alpha (.f32 alpha alpha))) (/.f32 #s(literal -1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32)))))
(- (* -1 (/ (- (+ (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 3) (pow cosTheta 3)))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))
(-.f32 (/.f32 #s(literal -1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (fma.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))))) (/.f32 #s(literal 1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32))))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 alpha (.f32 alpha alpha)))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))))) (/.f32 #s(literal 1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32)))))) (.f32 alpha (.f32 alpha alpha))))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 3) (pow cosTheta 6)))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (pow cosTheta 3))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))
(-.f32 (/.f32 #s(literal -1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (+.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))))) (/.f32 #s(literal 1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32))))) (/.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))))) (/.f32 #s(literal 1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32))))) (+.f32 (/.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))) (.f32 (.f32 alpha alpha) (.f32 alpha (pow.f32 cosTheta #s(literal 6 binary32))))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (.f32 alpha (.f32 alpha alpha)))) (.f32 alpha (.f32 alpha alpha))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(fma.f32 (neg.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32))))) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta))))) (.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta)))))) (*.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))))))) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)))) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32)))))))) (*.f32 cosTheta cosTheta))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta))))) (.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta)))))) (*.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))))))) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)))) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32)))))))) (*.f32 cosTheta cosTheta))
alpha
alpha
alpha
alpha
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(* 2 (* (PI) (log alpha)))
(.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))
(* 2 (* (PI) (log alpha)))
(.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))
(* 2 (* (PI) (log alpha)))
(.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))
(* 2 (* (PI) (log alpha)))
(.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))
(* -3 (* (PI) (log (/ 1 alpha))))
(.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) #s(literal -3 binary32)))
(* -3 (* (PI) (log (/ 1 alpha))))
(.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) #s(literal -3 binary32)))
(* -3 (* (PI) (log (/ 1 alpha))))
(.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) #s(literal -3 binary32)))
(* -3 (* (PI) (log (/ 1 alpha))))
(.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) #s(literal -3 binary32)))
(* -3 (* (PI) (log (/ -1 alpha))))
(.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) #s(literal -3 binary32)))
(* -3 (* (PI) (log (/ -1 alpha))))
(.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) #s(literal -3 binary32)))
(* -3 (* (PI) (log (/ -1 alpha))))
(.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) #s(literal -3 binary32)))
(* -3 (* (PI) (log (/ -1 alpha))))
(.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) #s(literal -3 binary32)))

eval71.0ms (0.8%)

Memory: 21.6MiB live, 218.7MiB allocated
Compiler: Compiled 30 677 to 2 533 computations (91.7% saved)

prune130.0ms (1.4%)

Memory

-20.9MiB live, 387.5MiB allocated

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	740	31	771
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	741	31	772

Accuracy

99.9%

Counts

772 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(fma.f32 alpha (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	98.4%	(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (.f32 (+.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))))
	98.2%	(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.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))))
▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))))
	95.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
	98.2%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #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))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 (log.f32 (PI.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 cosTheta (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))))
	96.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	98.2%	(/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.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))))
	98.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (.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))))
	67.6%	(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	67.7%	(/.f32 #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 2 030 to 1 024 computations (49.6% saved)

simplify13.0ms (0.1%)

Memory

-9.6MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

36×	`lower-*.f64`
28×	`lift-*.f32`
20×	`lower-+.f64`
18×	`lift-/.f32`
18×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	543
0	83	543

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
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 (.f32 (.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #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 (.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(.f32 (.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 cosTheta cosTheta)
cosTheta
(+.f32 alpha #s(literal 1 binary32))
(+.f32 alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))
(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
cosTheta
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(PI.f32)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.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 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
(log.f32 alpha)
(+.f32 (PI.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
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 cosTheta cosTheta)
cosTheta
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) #s(literal -1 binary32)) (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))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) #s(literal -1 binary32)) (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))
(/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) #s(literal -1 binary32))
(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
cosTheta
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) 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))
(*.f32 cosTheta cosTheta)

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

localize178.0ms (1.9%)

Memory

33.0MiB live, 265.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 cosTheta cosTheta)
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 cosTheta cosTheta)
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))
✓	accuracy	100.0%	(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 cosTheta cosTheta)
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)

Samples

115.0ms

256×

invalid

Compiler

Compiled 1 137 to 90 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 62.0ms (66.8% of total)

ival-div: 12.0ms (12.9% of total)

ival-add: 11.0ms (11.9% of total)

ival-log: 5.0ms (5.4% of total)

ival-pi: 1.0ms (1.1% of total)

ival-sub: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series317.0ms (3.4%)

Memory

-4.2MiB live, 517.4MiB allocated

Counts

21 → 324

Calls

Call 1

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

Outputs
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))>
#<alt (- (* (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))))))))>
#<alt (- (* (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))))))))>
#<alt (- (* (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))))))))>
#<alt (* -1/3 (/ alpha (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))>
#<alt (* alpha (- (* 1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))>
#<alt (* alpha (- (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))))))>
#<alt (* alpha (- (+ (* -1/3 (/ (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (* (pow alpha 4) (* (pow cosTheta 9) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))))))>
#<alt (* 1/3 (/ alpha (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))>
#<alt (* -1 (* alpha (- (* 1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ 1 (* alpha (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))) (pow alpha 2))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ (* 1/3 (/ (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (* alpha (* (pow cosTheta 9) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))))))>
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))>
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))>
#<alt (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))>
#<alt -1>
#<alt (- alpha 1)>
#<alt (- alpha 1)>
#<alt (- alpha 1)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))>
#<alt (+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* 3 (* (pow alpha 2) (* (pow cosTheta 3) (* (PI) (log alpha))))))>
#<alt (+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* 3 (* (pow alpha 2) (* (pow cosTheta 3) (* (PI) (log alpha))))))>
#<alt (+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* 3 (* (pow alpha 2) (* (pow cosTheta 3) (* (PI) (log alpha))))))>
#<alt (* -4 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))>
#<alt (* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))>
#<alt (* -4 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))>
#<alt (* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))>
#<alt (* (PI) (log (pow alpha 3)))>
#<alt (+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))>
#<alt (+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))>
#<alt (+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))>
#<alt (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))>
#<alt (* (pow cosTheta 3) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))))>
#<alt (* (pow cosTheta 3) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))))>
#<alt (* (pow cosTheta 3) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))))>
#<alt (* -1 (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))>
#<alt (* -1 (* (pow cosTheta 3) (+ (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))))>
#<alt (* -1 (* (pow cosTheta 3) (+ (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))))>
#<alt (* -1 (* (pow cosTheta 3) (+ (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))))>
#<alt -1>
#<alt (- alpha 1)>
#<alt (- alpha 1)>
#<alt (- alpha 1)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))>
#<alt (- (* 1/2 (* (pow alpha 3) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))))>
#<alt (- (* (pow alpha 3) (+ (* -1/2 (/ (* (pow alpha 3) (* (pow cosTheta 3) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2)))))))) (+ 1 (* -1 (pow cosTheta 3))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))))>
#<alt (- (* (pow alpha 3) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2))))))) (* (pow alpha 3) (+ (* -1/2 (/ (* (pow cosTheta 3) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2))))))) (+ 1 (* -1 (pow cosTheta 3))))) (* 1/2 (/ (* (pow alpha 3) (* (pow cosTheta 6) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 3))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))))>
#<alt (/ -1/2 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))>
#<alt (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))>
#<alt (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 4))) (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 8) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))>
#<alt (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 4))) (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 8) (pow cosTheta 4)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 4))) 2) (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 12) (pow cosTheta 8)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))>
#<alt (/ 1/2 (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))>
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#<alt (* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (+ (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 4))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 12)))))) (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (+ (/ (* (- (* -24 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow cosTheta 4))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 12) (pow cosTheta 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4)))))))>
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#<alt (* (PI) (log (pow alpha 3)))>
#<alt (+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))>
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#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt cosTheta>
#<alt cosTheta>
#<alt cosTheta>
#<alt cosTheta>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* -1 (pow cosTheta 2))>
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))>
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))>
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))>
#<alt (* (pow alpha 2) (pow cosTheta 2))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))>
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#<alt (* -1 cosTheta)>
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#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))>
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))>
#<alt (* (pow alpha 3) cosTheta)>
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#<alt (* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))>
#<alt (* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))>
#<alt (* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
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#<alt (* cosTheta (- (pow alpha 3) 1))>
#<alt (* cosTheta (- (pow alpha 3) 1))>
#<alt (* cosTheta (- (pow alpha 3) 1))>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ -1 alpha)))>
#<alt (* -1 (log (/ -1 alpha)))>
#<alt (* -1 (log (/ -1 alpha)))>
#<alt (* -1 (log (/ -1 alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))>
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))>
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))>
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))>

Calls

93 calls:

Time	Variable		Point	Expression
55.0ms	alpha	@	-inf	(* (log alpha) (+ (PI) (PI)))
28.0ms	cosTheta	@	inf	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (* cosTheta cosTheta) (+ alpha 1)) (+ alpha -1)) 1)))
14.0ms	cosTheta	@	0	(* (* (PI) (log (* alpha alpha))) (+ (* (* (* cosTheta cosTheta) (+ alpha 1)) (+ alpha -1)) 1))
13.0ms	alpha	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ (+ (* (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)) (* cosTheta (* (+ (* alpha alpha) -1) cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1))))
11.0ms	alpha	@	0	(* (log alpha) (+ (PI) (PI)))

Compiler

Compiled 1 783 to 1 090 computations (38.9% saved)

rewrite20.0ms (0.2%)

Memory

-11.6MiB live, 24.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

36×	`lower-*.f64`
28×	`lift-*.f32`
20×	`lower-+.f64`
18×	`lift-/.f32`
18×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	288
0	83	288

Stop Event

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

Counts

21 → 22

Calls

Call 1

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

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

simplify398.0ms (4.2%)

Memory

29.3MiB live, 617.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 408×	`lower-*.f64`
6 408×	`lower-*.f32`
6 144×	`lower-fma.f64`
6 144×	`lower-fma.f32`
3 678×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	914	10802
1	3025	10370
0	8139	10000

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 316

Calls

Call 1

Inputs
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(* -1/3 (/ alpha (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))
(* alpha (- (* 1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))
(* alpha (- (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))))))
(* alpha (- (+ (* -1/3 (/ (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (* (pow alpha 4) (* (pow cosTheta 9) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))))))
(* 1/3 (/ alpha (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))
(* -1 (* alpha (- (* 1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))))
(* -1 (* alpha (- (* -1 (/ (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ 1 (* alpha (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))) (pow alpha 2))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha)))))))))
(* -1 (* alpha (- (* -1 (/ (+ (* 1/3 (/ (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (* alpha (* (pow cosTheta 9) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) (pow alpha 3))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))
(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))
-1
(- alpha 1)
(- alpha 1)
(- alpha 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
alpha
alpha
alpha
alpha
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))
(+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* 3 (* (pow alpha 2) (* (pow cosTheta 3) (* (PI) (log alpha))))))
(+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* 3 (* (pow alpha 2) (* (pow cosTheta 3) (* (PI) (log alpha))))))
(+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* 3 (* (pow alpha 2) (* (pow cosTheta 3) (* (PI) (log alpha))))))
(* -4 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))
(* -4 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 4))))) (pow alpha 2)))))
(* (PI) (log (pow alpha 3)))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))
(* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))
(* (pow cosTheta 3) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))))
(* (pow cosTheta 3) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))))
(* (pow cosTheta 3) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))))
(* -1 (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))
(* -1 (* (pow cosTheta 3) (+ (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))))
(* -1 (* (pow cosTheta 3) (+ (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))))
(* -1 (* (pow cosTheta 3) (+ (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))))
-1
(- alpha 1)
(- alpha 1)
(- alpha 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))
(- (* 1/2 (* (pow alpha 3) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))))
(- (* (pow alpha 3) (+ (* -1/2 (/ (* (pow alpha 3) (* (pow cosTheta 3) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2)))))))) (+ 1 (* -1 (pow cosTheta 3))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))))
(- (* (pow alpha 3) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2))))))) (* (pow alpha 3) (+ (* -1/2 (/ (* (pow cosTheta 3) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2))))))) (+ 1 (* -1 (pow cosTheta 3))))) (* 1/2 (/ (* (pow alpha 3) (* (pow cosTheta 6) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3)))))) (* -1 (/ (pow cosTheta 3) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 3))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 3))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 3))))))))
(/ -1/2 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))
(- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 4))) (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 8) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 4))) (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 8) (pow cosTheta 4)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 4))) 2) (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 12) (pow cosTheta 8)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 4))) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))
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(/ -1/2 (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha)))))
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(- (+ (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha)))))))) (+ (* -2 (/ (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha)))))) (pow alpha 4))) (+ (* -1/2 (/ (- (pow cosTheta 13) 1) (* (pow alpha 4) (* (pow cosTheta 24) (* (PI) (log (/ 1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha))))))))))
(- (+ (* -1 (/ (+ (* -2 (- (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha)))))) (+ (* -2 (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha))))))) (* -1/2 (/ (- (pow cosTheta 13) 1) (* (pow cosTheta 24) (* (PI) (log (/ 1 alpha))))))))) (/ (* (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha)))))) (- (pow cosTheta 13) 1)) (pow cosTheta 13))) (pow alpha 6))) (+ (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha))))))))) (+ (* -2 (/ (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha)))))) (pow alpha 4))) (+ (* -1/2 (/ (- (pow cosTheta 13) 1) (* (pow alpha 4) (* (pow cosTheta 24) (* (PI) (log (/ 1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ 1 alpha))))))))))
(/ -1/2 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha)))))
(- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha)))))))) (+ (* -2 (/ (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha)))))) (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha)))))) (pow alpha 4))) (+ (* -1/2 (/ (- (pow cosTheta 13) 1) (* (pow alpha 4) (* (pow cosTheta 24) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))))))
(- (+ (* -1 (/ (+ (* -2 (- (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha)))))) (+ (* -2 (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha)))))) (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))) (* -1/2 (/ (- (pow cosTheta 13) 1) (* (pow cosTheta 24) (* (PI) (log (/ -1 alpha))))))))) (/ (* (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha)))))) (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha)))))) (- (pow cosTheta 13) 1)) (pow cosTheta 13))) (pow alpha 6))) (+ (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha))))))))) (+ (* -2 (/ (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 13) (* (PI) (log (/ -1 alpha)))))) (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha)))))) (pow alpha 4))) (+ (* -1/2 (/ (- (pow cosTheta 13) 1) (* (pow alpha 4) (* (pow cosTheta 24) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (+ (* -1 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2))))) (/ (* (pow cosTheta 10) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ 1 (* (pow cosTheta 13) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 13))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 13))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 13))
(/ -1 (* (pow cosTheta 13) (* (PI) (log (pow alpha 2)))))
(* -1 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 13)))
(* -1 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 13)))
(* -1 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 13)))
(* 3 (/ (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1))) (- (* -1 (pow cosTheta 3)) 1)))
(+ (* 3 (/ (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))))
(+ (* 3 (/ (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (+ (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (* -9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (/ (* (pow cosTheta 3) (- (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))) (- (* -1 (pow cosTheta 3)) 1))))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))))
(+ (* 3 (/ (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (+ (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (+ (* -9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (* 3 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (/ (* (pow cosTheta 3) (- (* -9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (/ (* (pow cosTheta 3) (- (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))) (- (* -1 (pow cosTheta 3)) 1)))) (- (* -1 (pow cosTheta 3)) 1))))) (/ (* (pow cosTheta 3) (- (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))) (- (* -1 (pow cosTheta 3)) 1))))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))))
(* -4 (* (pow alpha 12) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 12) (- (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 4)))) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4)))))
(* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 4))))) (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4))))))
(* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (+ (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 4))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 12)))))) (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (+ (/ (* (- (* -24 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow cosTheta 4))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 12) (pow cosTheta 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4)))))))
(* -4 (* (pow alpha 12) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 12) (- (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 4)))) (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4)))))
(* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 4))))) (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4))))))
(* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (+ (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 4))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 12)))))) (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (+ (/ (* (- (* -24 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow cosTheta 4))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 12) (pow cosTheta 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4)))))))
(* (PI) (log (pow alpha 3)))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (- (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 3)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (- (+ (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 3)))) (* (pow cosTheta 3) (* (- (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 3)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))))) (- (pow alpha 3) 1)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))
(* (pow cosTheta 6) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))))
(* (pow cosTheta 6) (+ (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))) (pow cosTheta 3))))
(* (pow cosTheta 6) (- (+ (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 6))) (* -1 (/ (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))) (pow cosTheta 3)))))
(* (pow cosTheta 6) (- (+ (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 6))) (* -1 (/ (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))) (pow cosTheta 3)))))
(* (pow cosTheta 6) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))))
(* (pow cosTheta 6) (+ (* -1 (/ (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))
(* (pow cosTheta 6) (+ (* -1 (/ (- (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))
(* (pow cosTheta 6) (+ (* -1 (/ (- (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))
(log alpha)
(log alpha)
(log alpha)
(log alpha)
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
cosTheta
cosTheta
cosTheta
cosTheta
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* -1 (pow cosTheta 2))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* (pow alpha 3) cosTheta)
(* (pow alpha 3) (+ cosTheta (* -1 (/ cosTheta (pow alpha 3)))))
(* (pow alpha 3) (+ cosTheta (* -1 (/ cosTheta (pow alpha 3)))))
(* (pow alpha 3) (+ cosTheta (* -1 (/ cosTheta (pow alpha 3)))))
(* -1 (* (pow alpha 3) cosTheta))
(* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))
(* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))
(* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 3) 1))
(* cosTheta (- (pow alpha 3) 1))
(* cosTheta (- (pow alpha 3) 1))
(* cosTheta (- (pow alpha 3) 1))
(log alpha)
(log alpha)
(log alpha)
(log alpha)
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ -1 alpha)))
(* -1 (log (/ -1 alpha)))
(* -1 (log (/ -1 alpha)))
(* -1 (log (/ -1 alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))

Outputs
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 (.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(+ (* 3 (/ (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (+ (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (* -9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (/ (* (pow cosTheta 3) (- (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))) (- (* -1 (pow cosTheta 3)) 1))))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))))
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(+ (* 3 (/ (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (+ (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (+ (* -9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (* 3 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (/ (* (pow cosTheta 3) (- (* -9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (/ (* (pow cosTheta 3) (- (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))) (- (* -1 (pow cosTheta 3)) 1)))) (- (* -1 (pow cosTheta 3)) 1))))) (/ (* (pow cosTheta 3) (- (* 9 (/ (* (pow cosTheta 6) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))) (- (* -1 (pow cosTheta 3)) 1))))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (* -1 (pow cosTheta 6)) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))))
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(* -4 (* (pow alpha 12) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))
(.f32 (.f32 #s(literal -4 binary32) (pow.f32 alpha #s(literal 12 binary32))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))))
(* (pow alpha 12) (- (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 4)))) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4)))))
(.f32 (pow.f32 alpha #s(literal 12 binary32)) (fma.f32 #s(literal -4 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (fma.f32 #s(literal 16 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 4 binary32) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)))) (pow.f32 alpha #s(literal 4 binary32))))))
(* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 4))))) (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4))))))
(.f32 (pow.f32 alpha #s(literal 12 binary32)) (fma.f32 #s(literal -24 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 alpha #s(literal 8 binary32))) (-.f32 (fma.f32 #s(literal -4 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (fma.f32 #s(literal 16 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 4 binary32) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)))) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 (.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)) (fma.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) #s(literal 16 binary32) (.f32 #s(literal 4 binary32) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 8 binary32)))))))
(* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (+ (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 4))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))) (pow alpha 12)))))) (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (+ (/ (* (- (* -24 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow cosTheta 4))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 12) (pow cosTheta 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))) (* -4 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4)))))))
(.f32 (pow.f32 alpha #s(literal 12 binary32)) (-.f32 (fma.f32 #s(literal 16 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (+.f32 (/.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (pow.f32 alpha #s(literal 12 binary32))))) (fma.f32 #s(literal -4 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (.f32 (.f32 #s(literal -24 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 alpha #s(literal 8 binary32))))) (fma.f32 (fma.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) #s(literal -24 binary32) (/.f32 (.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)) (fma.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) #s(literal 16 binary32) (.f32 #s(literal 4 binary32) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)))))) (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 12 binary32)))) (fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)) (fma.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) #s(literal 16 binary32) (.f32 #s(literal 4 binary32) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32)))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 8 binary32))))))))
(* -4 (* (pow alpha 12) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))
(.f32 (.f32 #s(literal -4 binary32) (pow.f32 alpha #s(literal 12 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(* (pow alpha 12) (- (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 4)))) (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4)))))
(.f32 (pow.f32 alpha #s(literal 12 binary32)) (fma.f32 #s(literal 16 binary32) (/.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32))) (fma.f32 #s(literal -4 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32))))) (pow.f32 alpha #s(literal 4 binary32))))))
(* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 4))))) (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4))))))
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(* (pow alpha 12) (- (+ (* -24 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 8))) (+ (* -4 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (+ (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 4))) (* 16 (/ (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))) (pow alpha 12)))))) (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1))) (pow alpha 4))) (+ (/ (* (- (* -24 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow cosTheta 4))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 12) (pow cosTheta 4))) (/ (* (- (* -1 (pow cosTheta 4)) 1) (- (* 16 (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))) (* -4 (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (* (pow alpha 8) (pow cosTheta 4)))))))
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(* (PI) (log (pow alpha 3)))
(.f32 (PI.f32) (log.f32 (.f32 alpha (*.f32 alpha alpha))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))
(fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (- (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 3)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))
(fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (-.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (- (+ (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 3)))) (* (pow cosTheta 3) (* (- (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 3)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))))) (- (pow alpha 3) 1)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))
(fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (-.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (-.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))))
(* (pow cosTheta 6) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))
(* (pow cosTheta 6) (+ (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))) (pow cosTheta 3))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (fma.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (/.f32 (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 cosTheta (*.f32 cosTheta cosTheta))))))
(* (pow cosTheta 6) (- (+ (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 6))) (* -1 (/ (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))) (pow cosTheta 3)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 (PI.f32) (fma.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 cosTheta (*.f32 cosTheta cosTheta)))))
(* (pow cosTheta 6) (- (+ (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 6))) (* -1 (/ (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))) (pow cosTheta 3)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 (PI.f32) (fma.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 cosTheta (*.f32 cosTheta cosTheta)))))
(* (pow cosTheta 6) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))
(* (pow cosTheta 6) (+ (* -1 (/ (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (neg.f32 (.f32 cosTheta (.f32 cosTheta cosTheta))))))
(* (pow cosTheta 6) (+ (* -1 (/ (- (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (/.f32 (neg.f32 (.f32 (PI.f32) (-.f32 (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 cosTheta (.f32 cosTheta cosTheta))) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))) (neg.f32 (.f32 cosTheta (.f32 cosTheta cosTheta))))))
(* (pow cosTheta 6) (+ (* -1 (/ (- (* -1 (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 3))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1))))) (pow cosTheta 3))) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (/.f32 (neg.f32 (.f32 (PI.f32) (-.f32 (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 cosTheta (.f32 cosTheta cosTheta))) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))) (neg.f32 (.f32 cosTheta (.f32 cosTheta cosTheta))))))
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
cosTheta
cosTheta
cosTheta
cosTheta
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* -1 (pow cosTheta 2))
(neg.f32 (*.f32 cosTheta cosTheta))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow alpha 2) (pow cosTheta 2))
(.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (.f32 cosTheta cosTheta) (neg.f32 (.f32 alpha alpha)))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (.f32 cosTheta cosTheta) (neg.f32 (.f32 alpha alpha)))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (.f32 cosTheta cosTheta) (neg.f32 (.f32 alpha alpha)))))
(* (pow alpha 2) (pow cosTheta 2))
(.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (.f32 cosTheta cosTheta) (neg.f32 (.f32 alpha alpha)))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (.f32 cosTheta cosTheta) (neg.f32 (.f32 alpha alpha)))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (.f32 cosTheta cosTheta) (neg.f32 (.f32 alpha alpha)))))
(* -1 cosTheta)
(neg.f32 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* (pow alpha 3) cosTheta)
(.f32 cosTheta (.f32 alpha (*.f32 alpha alpha)))
(* (pow alpha 3) (+ cosTheta (* -1 (/ cosTheta (pow alpha 3)))))
(.f32 (.f32 alpha (.f32 alpha alpha)) (-.f32 cosTheta (/.f32 cosTheta (.f32 alpha (*.f32 alpha alpha)))))
(* (pow alpha 3) (+ cosTheta (* -1 (/ cosTheta (pow alpha 3)))))
(.f32 (.f32 alpha (.f32 alpha alpha)) (-.f32 cosTheta (/.f32 cosTheta (.f32 alpha (*.f32 alpha alpha)))))
(* (pow alpha 3) (+ cosTheta (* -1 (/ cosTheta (pow alpha 3)))))
(.f32 (.f32 alpha (.f32 alpha alpha)) (-.f32 cosTheta (/.f32 cosTheta (.f32 alpha (*.f32 alpha alpha)))))
(* -1 (* (pow alpha 3) cosTheta))
(.f32 cosTheta (neg.f32 (.f32 alpha (*.f32 alpha alpha))))
(* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))
(.f32 (+.f32 cosTheta (/.f32 cosTheta (.f32 alpha (.f32 alpha alpha)))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))
(* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))
(.f32 (+.f32 cosTheta (/.f32 cosTheta (.f32 alpha (.f32 alpha alpha)))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))
(* -1 (* (pow alpha 3) (+ cosTheta (/ cosTheta (pow alpha 3)))))
(.f32 (+.f32 cosTheta (/.f32 cosTheta (.f32 alpha (.f32 alpha alpha)))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 3) 1))
(.f32 cosTheta (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 3) 1))
(.f32 cosTheta (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 3) 1))
(.f32 cosTheta (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))
(* cosTheta (- (pow alpha 3) 1))
(.f32 cosTheta (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ -1 alpha)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -1 (log (/ -1 alpha)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -1 (log (/ -1 alpha)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -1 (log (/ -1 alpha)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* 2 (* (PI) (log alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))

eval64.0ms (0.7%)

Memory: 8.7MiB live, 156.9MiB allocated
Compiler: Compiled 26 452 to 1 121 computations (95.8% saved)

prune74.0ms (0.8%)

Memory

-0.6MiB live, 190.4MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	663	10	673
Fresh	1	25	26
Picked	3	2	5
Done	0	0	0
Total	667	37	704

Accuracy

99.9%

Counts

704 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(fma.f32 alpha (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
▶	98.4%	(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (.f32 (+.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))))
	98.2%	(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.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))))
▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))
	95.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
	67.5%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 alpha (.f32 alpha alpha)) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
	98.2%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	97.8%	(/.f32 (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #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))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 (log.f32 (PI.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #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))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 cosTheta (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))))
	96.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	96.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
	98.2%	(/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.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))))
	98.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (.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))))
	98.3%	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.0%	(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))))
	67.6%	(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
▶	67.7%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.7%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))

Compiler

Compiled 2 197 to 1 162 computations (47.1% saved)

simplify21.0ms (0.2%)

Memory

-15.0MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

38×	`lower-*.f64`
28×	`lift-*.f32`
22×	`lower-+.f64`
14×	`lift-/.f32`
14×	`lift-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	519
0	86	519

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
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 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #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 (.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta))
cosTheta
(fma.f32 alpha cosTheta cosTheta)
(+.f32 alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))
(*.f32 cosTheta (neg.f32 cosTheta))
cosTheta
(neg.f32 cosTheta)
(PI.f32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(literal -1 binary32)
(.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
(log.f32 alpha)
alpha
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
(+.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))
(*.f32 alpha alpha)
cosTheta
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (.f32 (+.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))))
(fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (+.f32 alpha #s(literal -1 binary32)) #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 (fma.f32 alpha (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.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 (fma.f32 alpha (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32))))
(.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))
alpha
(*.f32 alpha alpha)
#s(literal 1 binary32)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))
(fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))
(-.f32 #s(literal 1 binary32) alpha)
(+.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 (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)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta

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

localize167.0ms (1.8%)

Memory

19.9MiB live, 369.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))
✓	accuracy	100.0%	(*.f32 cosTheta (neg.f32 cosTheta))
✓	accuracy	100.0%	(neg.f32 cosTheta)
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)

Samples

85.0ms

256×

invalid

Compiler

Compiled 1 069 to 93 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 28.0ms (44.8% of total)

ival-add: 13.0ms (20.8% of total)

ival-div: 11.0ms (17.6% of total)

ival-log: 5.0ms (8% of total)

ival-sub: 2.0ms (3.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series332.0ms (3.5%)

Memory

-24.7MiB live, 583.6MiB allocated

Counts

26 → 348

Calls

Call 1

Inputs
#<alt (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))>
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))>
#<alt (*.f32 alpha alpha)>
#<alt (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)))>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))>
#<alt (fma.f32 alpha alpha #s(literal -1 binary32))>
#<alt (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))>
#<alt (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))>
#<alt (/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))>
#<alt (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))>
#<alt (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))>
#<alt (log.f32 alpha)>
#<alt (/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (.f32 (+.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))))>
#<alt (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)))>
#<alt (+.f32 alpha #s(literal -1 binary32))>
#<alt (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))>
#<alt (/.f32 (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.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))))>
#<alt (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32))))>
#<alt (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))>
#<alt (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))>
#<alt (PI.f32)>
#<alt (log.f32 (*.f32 alpha alpha))>
#<alt (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta))>
#<alt (neg.f32 cosTheta)>
#<alt (*.f32 cosTheta (neg.f32 cosTheta))>
#<alt (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))>

Outputs
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))>
#<alt (- (* 1/2 (/ (* alpha (* cosTheta (+ cosTheta (* -1 cosTheta)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (- (* alpha (- (* alpha (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (- (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ (* (pow cosTheta 3) (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (* cosTheta (* (+ cosTheta (* -1 cosTheta)) (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (* -1/3 (/ alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))>
#<alt (* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha))))))))>
#<alt (* alpha (- (* -1 (/ (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (+ (* -1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha)))))))))>
#<alt (* alpha (- (/ 1/3 (* (pow alpha 3) (* cosTheta (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (- cosTheta 1)) (pow alpha 3))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- cosTheta 1)) (* (pow alpha 3) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ (pow (- cosTheta 1) 2) (* (pow alpha 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha)))))))))))))>
#<alt (* 1/3 (/ alpha (* cosTheta (* (PI) (log (/ -1 alpha))))))>
#<alt (* -1 (* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))>
#<alt (* -1 (* alpha (- (* -1 (/ (- (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* alpha (* cosTheta (* (PI) (log (/ -1 alpha)))))))) (* 1/3 (/ (- cosTheta 1) (* cosTheta (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))>
#<alt (* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))) (+ (* -1/3 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- cosTheta 1)) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ -1 alpha))))))) (- cosTheta 1)))) alpha)) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ -1 alpha)))))))) alpha)) (* 1/3 (/ (- cosTheta 1) (* cosTheta (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))>
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))>
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))>
#<alt (* -1 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))))>
#<alt (/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 3) (pow (- (* -1 alpha) 1) 3)))))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 3) (pow (- (* -1 alpha) 1) 3)))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 4) (pow (- (* -1 alpha) 1) 4)))))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (* (pow cosTheta 4) (* (- alpha 1) (- (* -1 alpha) 1))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 4) (pow (- (* -1 alpha) 1) 4))))))))) (pow cosTheta 2))>
#<alt -1>
#<alt (- alpha 1)>
#<alt (- alpha 1)>
#<alt (- alpha 1)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))>
#<alt (+ (* 3 (* alpha (* cosTheta (* (PI) (* (log alpha) (+ cosTheta (* -1 cosTheta))))))) (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))>
#<alt (+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* alpha (+ (* 3 (* alpha (* (pow cosTheta 2) (* (PI) (log alpha))))) (* 3 (* cosTheta (* (PI) (* (log alpha) (+ cosTheta (* -1 cosTheta)))))))))>
#<alt (+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* alpha (+ (* 3 (* alpha (* (pow cosTheta 2) (* (PI) (log alpha))))) (* 3 (* cosTheta (* (PI) (* (log alpha) (+ cosTheta (* -1 cosTheta)))))))))>
#<alt (* -4 (* (pow alpha 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))>
#<alt (* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ 1 alpha))))) (* -4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- cosTheta 1)))) alpha))))>
#<alt (* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ 1 alpha))))) (+ (* -4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- cosTheta 1)))) alpha)) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ 1 alpha))))) (+ (* -4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- cosTheta 1)))) alpha)) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))))>
#<alt (* -4 (* (pow alpha 2) (* cosTheta (* (PI) (log (/ -1 alpha))))))>
#<alt (* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ -1 alpha))))) (* -4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- cosTheta 1)))) alpha))))>
#<alt (* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ -1 alpha))))) (* -1 (/ (+ (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- cosTheta 1))))) (* 4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) alpha))) alpha))))>
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#<alt (- (* 1/6 (/ (* alpha (+ 1 (+ (* -1 (+ 1 (* -1 (pow cosTheta 6)))) (* -1 (pow cosTheta 6))))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 2))))) (* 1/6 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))>
#<alt (- (* alpha (- (* -1 (* alpha (+ (* 1/6 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))) (* 1/6 (/ (pow (+ 1 (+ (* -1 (+ 1 (* -1 (pow cosTheta 6)))) (* -1 (pow cosTheta 6)))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 3)))))))) (* -1/6 (/ (+ 1 (+ (* -1 (+ 1 (* -1 (pow cosTheta 6)))) (* -1 (pow cosTheta 6)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 2))))))) (* 1/6 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))>
#<alt (- (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ 1 (* -1 (pow cosTheta 6)))) (* -1 (pow cosTheta 6)))) (+ (* 1/6 (/ (pow (+ 1 (+ (* -1 (+ 1 (* -1 (pow cosTheta 6)))) (* -1 (pow cosTheta 6)))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 3))))) (* 1/6 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))) (+ 1 (* -1 (pow cosTheta 6))))) (+ (* -1/6 (/ (+ 1 (+ (* -1 (+ 1 (* -1 (pow cosTheta 6)))) (* -1 (pow cosTheta 6)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 2))))) (* 1/6 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))))) (+ (* 1/6 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))) (* 1/6 (/ (pow (+ 1 (+ (* -1 (+ 1 (* -1 (pow cosTheta 6)))) (* -1 (pow cosTheta 6)))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 3)))))))) (* -1/6 (/ (+ 1 (+ (* -1 (+ 1 (* -1 (pow cosTheta 6)))) (* -1 (pow cosTheta 6)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 2))))))) (* 1/6 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))>
#<alt (/ -1/7 (* (pow alpha 5) (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))>
#<alt (/ (- (* 1/7 (/ 1 (* alpha (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) (pow alpha 5))>
#<alt (/ (- (/ 1/7 (* alpha (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha)))))) (+ (/ 1/7 (* (pow alpha 2) (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha)))))) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha)))))))) (pow alpha 5))>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha)))))) (* 1/7 (/ 1 (* (pow alpha 4) (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha)))))))) (pow alpha 2))) (/ 1/7 (* alpha (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) (pow alpha 5))>
#<alt (/ 1/7 (* (pow alpha 5) (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))>
#<alt (* -1 (/ (- (* 1/7 (/ 1 (* alpha (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) (pow alpha 5)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/7 (/ 1 (* alpha (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) (pow alpha 5)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/7 (/ 1 (* (pow alpha 4) (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/7 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ -1 alpha))))))) (pow alpha 5)))>
#<alt (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha)))))>
#<alt (+ (* -1 (/ (* (pow cosTheta 6) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 6) 1) 2))) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha)))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))>
#<alt (+ (* (pow cosTheta 6) (- (/ (* (pow cosTheta 6) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 6) 1) 3))) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 6) 1) 2)) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))>
#<alt (+ (* (pow cosTheta 6) (- (* (pow cosTheta 6) (- (* -1 (/ (* (pow cosTheta 6) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 6) 1) 4))) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha)))))) (* -1 (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 6) 1) 3)) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha)))))))) (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 6) 1) 2)) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))>
#<alt (/ (+ 1 (pow alpha 3)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1)))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))) (pow cosTheta 6))) (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))) (pow cosTheta 6))>
#<alt (/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (+ (/ 1 (* (pow cosTheta 12) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (pow (- (pow alpha 6) 1) 2))))))) (+ (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (/ (pow alpha 3) (* (pow cosTheta 12) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (pow (- (pow alpha 6) 1) 2)))))))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))) (/ (pow alpha 3) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))))) (pow cosTheta 6))>
#<alt (/ (- (+ (* -1 (/ (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (pow (- (pow alpha 6) 1) 3)))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (pow (- (pow alpha 6) 1) 3))))))) (pow cosTheta 18))) (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))) (+ (* -1 (/ (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1)))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))) (* (pow cosTheta 12) (- (pow alpha 6) 1)))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))) (/ (pow alpha 3) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1)))))))))) (pow cosTheta 6))>
#<alt (/ (+ 1 (pow alpha 3)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1)))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))) (pow cosTheta 6))) (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))) (pow cosTheta 6))>
#<alt (/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (+ (/ 1 (* (pow cosTheta 12) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (pow (- (pow alpha 6) 1) 2))))))) (+ (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (/ (pow alpha 3) (* (pow cosTheta 12) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (pow (- (pow alpha 6) 1) 2)))))))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))) (/ (pow alpha 3) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))))) (pow cosTheta 6))>
#<alt (/ (- (+ (* -1 (/ (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (pow (- (pow alpha 6) 1) 3)))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (pow (- (pow alpha 6) 1) 3))))))) (pow cosTheta 18))) (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (- (+ 1 (pow alpha 6)) alpha))))))) (+ (* -1 (/ (+ (/ 1 (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1)))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))) (* (pow cosTheta 12) (- (pow alpha 6) 1)))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1))))))) (/ (pow alpha 3) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 6)) (* (+ 1 alpha) (* (- (+ 1 (pow alpha 6)) alpha) (- (pow alpha 6) 1)))))))))) (pow cosTheta 6))>
#<alt -1>
#<alt (- (* -2 (pow alpha 2)) 1)>
#<alt (- (* (pow alpha 2) (- (* -2 (pow alpha 2)) 2)) 1)>
#<alt (- (* (pow alpha 2) (- (* (pow alpha 2) (- (* 2 alpha) 2)) 2)) 1)>
#<alt alpha>
#<alt (* alpha (- 1 (/ 1 alpha)))>
#<alt (* alpha (- (+ 1 (/ 2 (pow alpha 2))) (/ 1 alpha)))>
#<alt (* alpha (- (+ 1 (/ 2 (pow alpha 2))) (+ (/ 1 alpha) (* 2 (/ 1 (pow alpha 3))))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (- 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- 1 (/ 1 (pow alpha 4))) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (+ 1 (/ 3 (pow alpha 5))) (/ 1 (pow alpha 4))) alpha)))))>
#<alt -1>
#<alt (- (* -1 (pow alpha 2)) 1)>
#<alt (- (* (pow alpha 2) (- (pow alpha 3) 1)) 1)>
#<alt (- (* (pow alpha 2) (- (* (pow alpha 3) (+ 1 (pow alpha 2))) 1)) 1)>
#<alt (pow alpha 8)>
#<alt (* (pow alpha 8) (+ 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 8) (- (+ 1 (/ 1 (pow alpha 2))) (/ 1 (pow alpha 6))))>
#<alt (* (pow alpha 8) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 (pow alpha 2))) (pow alpha 6))) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (pow alpha 8))>
#<alt (* (pow alpha 8) (- (/ 1 (pow alpha 2)) 1))>
#<alt (* (pow alpha 8) (- (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 6))) 1))>
#<alt (* (pow alpha 8) (- (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 6))) (+ 1 (/ 1 (pow alpha 8)))))>
#<alt 1>
#<alt (+ 1 (pow alpha 2))>
#<alt (+ 1 (pow alpha 2))>
#<alt (+ 1 (pow alpha 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (+ 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (+ 1 (/ 1 (pow alpha 2))))>
#<alt (* -1 (pow alpha 2))>
#<alt (* (pow alpha 2) (- (/ 1 (pow alpha 2)) 1))>
#<alt (* (pow alpha 2) (- (/ 1 (pow alpha 2)) 1))>
#<alt (* (pow alpha 2) (- (/ 1 (pow alpha 2)) 1))>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* (pow cosTheta 2) (+ 1 alpha))>
#<alt (* (pow cosTheta 2) (+ 1 alpha))>
#<alt (* (pow cosTheta 2) (+ 1 alpha))>
#<alt (* (pow cosTheta 2) (+ 1 alpha))>
#<alt (* 2 (pow cosTheta 2))>
#<alt (* 2 (pow cosTheta 2))>
#<alt (* 2 (pow cosTheta 2))>
#<alt (* 2 (pow cosTheta 2))>
#<alt (* 2 (pow cosTheta 2))>
#<alt (* 2 (pow cosTheta 2))>
#<alt (* 2 (pow cosTheta 2))>
#<alt (* 2 (pow cosTheta 2))>
#<alt (pow cosTheta 2)>
#<alt (+ (* alpha (pow cosTheta 2)) (pow cosTheta 2))>
#<alt (+ (* alpha (pow cosTheta 2)) (pow cosTheta 2))>
#<alt (+ (* alpha (pow cosTheta 2)) (pow cosTheta 2))>
#<alt (* alpha (pow cosTheta 2))>
#<alt (* alpha (+ (/ (pow cosTheta 2) alpha) (pow cosTheta 2)))>
#<alt (* alpha (+ (/ (pow cosTheta 2) alpha) (pow cosTheta 2)))>
#<alt (* alpha (+ (/ (pow cosTheta 2) alpha) (pow cosTheta 2)))>
#<alt (* alpha (pow cosTheta 2))>
#<alt (* -1 (* alpha (+ (* -1 (/ (pow cosTheta 2) alpha)) (* -1 (pow cosTheta 2)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (pow cosTheta 2) alpha)) (* -1 (pow cosTheta 2)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (pow cosTheta 2) alpha)) (* -1 (pow cosTheta 2)))))>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 (pow cosTheta 2))>
#<alt (* -1 (pow cosTheta 2))>
#<alt (* -1 (pow cosTheta 2))>
#<alt (* -1 (pow cosTheta 2))>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>

Calls

96 calls:

Time	Variable		Point	Expression
35.0ms	cosTheta	@	inf	(/ (/ (* (+ (* alpha (* alpha alpha)) 1) (+ (* alpha alpha) -1)) (* (+ (* alpha alpha) (- 1 alpha)) (+ alpha 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
34.0ms	alpha	@	inf	(/ -1 (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
24.0ms	cosTheta	@	0	(/ -1 (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
21.0ms	cosTheta	@	0	(/ (/ (* (+ (* alpha (* alpha alpha)) 1) (+ (* alpha alpha) -1)) (* (+ (* alpha alpha) (- 1 alpha)) (+ alpha 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
11.0ms	alpha	@	0	(log (* alpha alpha))

Compiler

Compiled 1 647 to 1 042 computations (36.7% saved)

rewrite16.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

38×	`lower-*.f64`
28×	`lift-*.f32`
22×	`lower-+.f64`
14×	`lift-/.f32`
14×	`lift-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	280
0	86	280

Stop Event

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

Counts

26 → 29

Calls

Call 1

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

simplify411.0ms (4.4%)

Memory

-30.6MiB live, 646.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 438×	`lower-*.f64`
8 438×	`lower-*.f32`
6 508×	`lower-fma.f64`
6 508×	`lower-fma.f32`
3 716×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	922	8895
1	3105	8558
0	9018	8346

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 339

Calls

Call 1

Inputs
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (* alpha (* cosTheta (+ cosTheta (* -1 cosTheta)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* alpha (- (* alpha (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ (* (pow cosTheta 3) (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (* cosTheta (* (+ cosTheta (* -1 cosTheta)) (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(* -1/3 (/ alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))
(* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha))))))))
(* alpha (- (* -1 (/ (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (+ (* -1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha)))))))))
(* alpha (- (/ 1/3 (* (pow alpha 3) (* cosTheta (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (- cosTheta 1)) (pow alpha 3))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- cosTheta 1)) (* (pow alpha 3) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ (pow (- cosTheta 1) 2) (* (pow alpha 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha)))))))))))))
(* 1/3 (/ alpha (* cosTheta (* (PI) (log (/ -1 alpha))))))
(* -1 (* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* alpha (* cosTheta (* (PI) (log (/ -1 alpha)))))))) (* 1/3 (/ (- cosTheta 1) (* cosTheta (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))) (+ (* -1/3 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- cosTheta 1)) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ -1 alpha))))))) (- cosTheta 1)))) alpha)) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ -1 alpha)))))))) alpha)) (* 1/3 (/ (- cosTheta 1) (* cosTheta (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))
(* -1 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 3) (pow (- (* -1 alpha) 1) 3)))))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 3) (pow (- (* -1 alpha) 1) 3)))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 4) (pow (- (* -1 alpha) 1) 4)))))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (* (pow cosTheta 4) (* (- alpha 1) (- (* -1 alpha) 1))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 4) (pow (- (* -1 alpha) 1) 4))))))))) (pow cosTheta 2))
-1
(- alpha 1)
(- alpha 1)
(- alpha 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
alpha
alpha
alpha
alpha
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 3 (* alpha (* cosTheta (* (PI) (* (log alpha) (+ cosTheta (* -1 cosTheta))))))) (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))
(+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* alpha (+ (* 3 (* alpha (* (pow cosTheta 2) (* (PI) (log alpha))))) (* 3 (* cosTheta (* (PI) (* (log alpha) (+ cosTheta (* -1 cosTheta)))))))))
(+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* alpha (+ (* 3 (* alpha (* (pow cosTheta 2) (* (PI) (log alpha))))) (* 3 (* cosTheta (* (PI) (* (log alpha) (+ cosTheta (* -1 cosTheta)))))))))
(* -4 (* (pow alpha 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ 1 alpha))))) (* -4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- cosTheta 1)))) alpha))))
(* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ 1 alpha))))) (+ (* -4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- cosTheta 1)))) alpha)) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))))
(* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ 1 alpha))))) (+ (* -4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- cosTheta 1)))) alpha)) (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))))
(* -4 (* (pow alpha 2) (* cosTheta (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ -1 alpha))))) (* -4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- cosTheta 1)))) alpha))))
(* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ -1 alpha))))) (* -1 (/ (+ (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- cosTheta 1))))) (* 4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) alpha))) alpha))))
(* (pow alpha 2) (+ (* -4 (* cosTheta (* (PI) (log (/ -1 alpha))))) (* -1 (/ (+ (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- cosTheta 1))))) (* 4 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) alpha))) alpha))))
(* (PI) (log (pow alpha 3)))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1))))))
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(* -1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 3)) (* (- alpha 1) (- (* -1 alpha) 1))))))
(* (pow cosTheta 2) (+ (* -1 (* (PI) (* (log (pow alpha 3)) (* (- alpha 1) (- (* -1 alpha) 1))))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* -1 (* (PI) (* (log (pow alpha 3)) (* (- alpha 1) (- (* -1 alpha) 1))))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* -1 (* (PI) (* (log (pow alpha 3)) (* (- alpha 1) (- (* -1 alpha) 1))))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
-1
(- alpha 1)
(- alpha 1)
(- alpha 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))
(- (* 1/2 (/ (* (pow alpha 6) (pow cosTheta 6)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))
(- (* (pow alpha 6) (- (* -1/2 (/ (* (pow alpha 6) (pow cosTheta 12)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 3))))) (* -1/2 (/ (pow cosTheta 6) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))
(- (* (pow alpha 6) (- (* (pow alpha 6) (- (* 1/2 (/ (* (pow alpha 6) (pow cosTheta 18)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 4))))) (* 1/2 (/ (pow cosTheta 12) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 3))))))) (* -1/2 (/ (pow cosTheta 6) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))
(/ 1/2 (* (pow alpha 7) (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))
(/ 1/2 (* (pow alpha 7) (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))
(/ (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 7))) (* (pow alpha 7) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) (pow alpha 7))
(/ (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 7))) (* (pow alpha 7) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) (pow alpha 7))
(/ -1/2 (* (pow alpha 8) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
(/ -1/2 (* (pow alpha 8) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
(/ (- (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 8))) (* (pow alpha 8) (* (pow cosTheta 16) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 8))
(/ (- (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 8))) (* (pow alpha 8) (* (pow cosTheta 16) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 8))
(/ -1/2 (* (PI) (log alpha)))
(- (* 1/2 (/ (* (pow cosTheta 6) (- (pow alpha 6) 1)) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(- (* (pow cosTheta 6) (- (* -1/2 (/ (* (pow cosTheta 6) (pow (- (pow alpha 6) 1) 2)) (* (PI) (log alpha)))) (* -1/2 (/ (- (pow alpha 6) 1) (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(- (* (pow cosTheta 6) (- (* (pow cosTheta 6) (- (* 1/2 (/ (* (pow cosTheta 6) (pow (- (pow alpha 6) 1) 3)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 6) 1) 2) (* (PI) (log alpha)))))) (* -1/2 (/ (- (pow alpha 6) 1) (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(/ -1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (- (pow alpha 6) 1)))))
(/ (- (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- (pow alpha 6) 1)))))) (pow cosTheta 6))
(/ (- (/ 1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 2))))) (+ (/ 1/2 (* (pow cosTheta 12) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 3))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- (pow alpha 6) 1))))))) (pow cosTheta 6))
(/ (- (+ (/ 1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 2))))) (* 1/2 (/ 1 (* (pow cosTheta 18) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 4))))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (- (pow alpha 6) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 3)))))))) (pow cosTheta 6))
(/ -1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (- (pow alpha 6) 1)))))
(/ (- (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- (pow alpha 6) 1)))))) (pow cosTheta 6))
(/ (- (/ 1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 2))))) (+ (/ 1/2 (* (pow cosTheta 12) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 3))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- (pow alpha 6) 1))))))) (pow cosTheta 6))
(/ (- (+ (/ 1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 2))))) (* 1/2 (/ 1 (* (pow cosTheta 18) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 4))))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (- (pow alpha 6) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (* (log alpha) (pow (- (pow alpha 6) 1) 3)))))))) (pow cosTheta 6))
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))
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(* 2 (pow cosTheta 2))
(* 2 (pow cosTheta 2))
(* 2 (pow cosTheta 2))
(* 2 (pow cosTheta 2))
(* 2 (pow cosTheta 2))
(* 2 (pow cosTheta 2))
(* 2 (pow cosTheta 2))
(pow cosTheta 2)
(+ (* alpha (pow cosTheta 2)) (pow cosTheta 2))
(+ (* alpha (pow cosTheta 2)) (pow cosTheta 2))
(+ (* alpha (pow cosTheta 2)) (pow cosTheta 2))
(* alpha (pow cosTheta 2))
(* alpha (+ (/ (pow cosTheta 2) alpha) (pow cosTheta 2)))
(* alpha (+ (/ (pow cosTheta 2) alpha) (pow cosTheta 2)))
(* alpha (+ (/ (pow cosTheta 2) alpha) (pow cosTheta 2)))
(* alpha (pow cosTheta 2))
(* -1 (* alpha (+ (* -1 (/ (pow cosTheta 2) alpha)) (* -1 (pow cosTheta 2)))))
(* -1 (* alpha (+ (* -1 (/ (pow cosTheta 2) alpha)) (* -1 (pow cosTheta 2)))))
(* -1 (* alpha (+ (* -1 (/ (pow cosTheta 2) alpha)) (* -1 (pow cosTheta 2)))))
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 (pow cosTheta 2))
(* -1 (pow cosTheta 2))
(* -1 (pow cosTheta 2))
(* -1 (pow cosTheta 2))
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))

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

eval47.0ms (0.5%)

Memory: 38.6MiB live, 114.4MiB allocated
Compiler: Compiled 20 010 to 1 050 computations (94.8% saved)

prune133.0ms (1.4%)

Memory

3.5MiB live, 121.8MiB allocated

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	555	9	564
Fresh	3	27	30
Picked	3	2	5
Done	0	2	2
Total	561	40	601

Accuracy

100.0%

Counts

601 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(fma.f32 alpha (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	97.6%	(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (.f32 (+.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 #s(literal -1 binary32) cosTheta) cosTheta))))
	98.2%	(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (neg.f32 (fma.f32 alpha (/.f32 #s(literal 1 binary32) alpha) (neg.f32 alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.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))))
	95.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
	98.2%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.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))))
	78.7%	(/.f32 (/.f32 (.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #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))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 (log.f32 (PI.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
▶	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #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))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 cosTheta (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))))
	96.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	96.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
▶	98.2%	(/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.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))))
	98.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (.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))))
	98.3%	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.0%	(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))))
	67.6%	(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
	66.9%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
▶	-0.0%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))
	67.6%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
✓	67.7%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	67.5%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
	67.7%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))

Compiler

Compiled 2 249 to 1 210 computations (46.2% saved)

simplify12.0ms (0.1%)

Memory

-16.5MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (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 alpha alpha) #s(literal 1 binary32))
✓	cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
✓	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 alpha (+.f32 alpha #s(literal 1 binary32)))
✓	cost-diff	0	(/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.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	64	(+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 alpha #s(literal 1 binary32))))
✓	cost-diff	0	(log.f32 alpha)
✓	cost-diff	0	(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
✓	cost-diff	0	(.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
✓	cost-diff	0	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
✓	cost-diff	0	(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))
✓	cost-diff	0	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))
✓	cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32)))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	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 cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))

Rules

44×	`lower-*.f64`
34×	`lift-*.f32`
24×	`lower-+.f64`
14×	`lift-/.f32`
14×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	489
0	94	487

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
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 cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) 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 cosTheta cosTheta) (.f32 (+.f32 alpha #s(literal -1 binary32)) 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 cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))
(fma.f32 alpha cosTheta cosTheta)
cosTheta
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)
(+.f32 alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))
#s(literal -1 binary32)
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))
(*.f32 cosTheta (neg.f32 cosTheta))
cosTheta
(neg.f32 cosTheta)
(PI.f32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
#s(literal -1 binary32)
(.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
(log.f32 alpha)
alpha
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(literal 1 binary32)
(.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)
(+.f32 alpha #s(literal -1 binary32))
cosTheta
(/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.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 (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 alpha #s(literal 1 binary32))))
(*.f32 alpha (+.f32 alpha #s(literal 1 binary32)))
alpha
(+.f32 alpha #s(literal 1 binary32))
#s(literal 1 binary32)
(neg.f32 (+.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 (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 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (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))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (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))
(/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32))
(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
cosTheta
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 cosTheta (neg.f32 cosTheta))
(neg.f32 cosTheta)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32))
(*.f32 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 cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) 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 cosTheta cosTheta) (.f32 (+.f32 alpha #s(literal -1 binary32)) 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 cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))
(fma.f32 alpha cosTheta cosTheta)
cosTheta
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)
(+.f32 alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))
#s(literal -1 binary32)
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))
(*.f32 cosTheta (neg.f32 cosTheta))
cosTheta
(neg.f32 cosTheta)
(PI.f32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
#s(literal -1 binary32)
(.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
(log.f32 alpha)
alpha
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(literal 1 binary32)
(.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)
(+.f32 alpha #s(literal -1 binary32))
cosTheta
(/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.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 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.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 (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 alpha #s(literal 1 binary32))))
(fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.f32 alpha #s(literal 1 binary32))))
(*.f32 alpha (+.f32 alpha #s(literal 1 binary32)))
alpha
(+.f32 alpha #s(literal 1 binary32))
#s(literal 1 binary32)
(neg.f32 (+.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 (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 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (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))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (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))
(/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32))
(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
cosTheta
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 cosTheta (neg.f32 cosTheta))
(neg.f32 cosTheta)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32))
(*.f32 cosTheta cosTheta)

localize168.0ms (1.8%)

Memory

-0.1MiB live, 315.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(neg.f32 cosTheta)
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(neg.f32 (+.f32 alpha #s(literal 1 binary32)))
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
✓	accuracy	100.0%	(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
✓	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))
✓	accuracy	100.0%	(*.f32 cosTheta (neg.f32 cosTheta))
✓	accuracy	100.0%	(neg.f32 cosTheta)
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	100.0%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	6.3%	(PI.f32)

Samples

93.0ms

256×

invalid

Compiler

Compiled 1 011 to 101 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 36.0ms (51.7% of total)

ival-add: 13.0ms (18.7% of total)

ival-div: 10.0ms (14.4% of total)

ival-log: 5.0ms (7.2% of total)

ival-neg: 2.0ms (2.9% of total)

ival-pi: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series555.0ms (5.9%)

Memory

-98.5MiB live, 502.2MiB allocated

Counts

24 → 324

Calls

Call 1

Inputs
#<alt (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))>
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))>
#<alt (*.f32 alpha alpha)>
#<alt (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32)))>
#<alt (/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))>
#<alt (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))>
#<alt (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))>
#<alt (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))>
#<alt (/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))))>
#<alt (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)))>
#<alt (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))>
#<alt (log.f32 alpha)>
#<alt (+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 alpha #s(literal 1 binary32))))>
#<alt (/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.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))))>
#<alt (*.f32 alpha (+.f32 alpha #s(literal 1 binary32)))>
#<alt (+.f32 alpha #s(literal 1 binary32))>
#<alt (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal -1 binary32)))))>
#<alt (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32))))>
#<alt (PI.f32)>
#<alt (log.f32 (*.f32 alpha alpha))>
#<alt (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))>
#<alt (neg.f32 cosTheta)>
#<alt (*.f32 cosTheta (neg.f32 cosTheta))>
#<alt (neg.f32 (+.f32 alpha #s(literal 1 binary32)))>

Outputs
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))>
#<alt (- (* 1/2 (/ (* alpha (* cosTheta (+ cosTheta (* -1 cosTheta)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (- (* alpha (- (* alpha (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (- (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ (* (pow cosTheta 3) (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (* cosTheta (* (+ cosTheta (* -1 cosTheta)) (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (* -1/3 (/ alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))>
#<alt (* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha))))))))>
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#<alt (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha)))))>
#<alt (- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha)))))) (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))))>
#<alt (- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* -1 (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))) (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha))))))) (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))))>
#<alt (- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha))))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow (- (* -1 (pow cosTheta 4)) 1) 2)) (* (pow alpha 12) (pow cosTheta 8))))) (+ (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))))>
#<alt (* (PI) (log (pow alpha 3)))>
#<alt (+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))>
#<alt (+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))>
#<alt (+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (- (* cosTheta (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))>
#<alt (* -1 (* (pow cosTheta 6) (* (PI) (log (pow alpha 3)))))>
#<alt (* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1))))))>
#<alt (* (pow cosTheta 6) (- (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 6) (pow (- (pow alpha 3) 1) 2))))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1)))))>
#<alt (* (pow cosTheta 6) (- (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 9) (- (pow alpha 3) 1))))) (+ (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1))) (+ (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 6) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 9) (pow (- (pow alpha 3) 1) 3)))))))>
#<alt (* -1 (* (pow cosTheta 6) (* (PI) (log (pow alpha 3)))))>
#<alt (* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1)))))>
#<alt (* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (- (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (pow cosTheta 3)))))>
#<alt (* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (/ (* (PI) (log (pow alpha 3))) (pow (- (pow alpha 3) 1) 3))) (pow cosTheta 3))) (/ (* (PI) (log (pow alpha 3))) (pow (- (pow alpha 3) 1) 2))) (pow cosTheta 3))) (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (pow cosTheta 3)))))>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ 1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -3 (* (PI) (log (/ -1 alpha))))>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 cosTheta)>
#<alt (* -1 (pow cosTheta 2))>
#<alt (* -1 (pow cosTheta 2))>
#<alt (* -1 (pow cosTheta 2))>
#<alt (* -1 (pow cosTheta 2))>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt -1>
#<alt (- (* -1 alpha) 1)>
#<alt (- (* -1 alpha) 1)>
#<alt (- (* -1 alpha) 1)>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>

Calls

87 calls:

Time	Variable		Point	Expression
278.0ms	cosTheta	@	-inf	(* (* (PI) (log (* alpha alpha))) (/ (+ (* (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)) (* cosTheta (neg cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1)))
42.0ms	cosTheta	@	inf	(/ -1 (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (+ alpha -1) cosTheta) cosTheta))))
18.0ms	cosTheta	@	inf	(* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)) 1))
11.0ms	alpha	@	inf	(log (* alpha alpha))
10.0ms	alpha	@	inf	(* (log alpha) (+ (PI) (PI)))

Compiler

Compiled 1 568 to 977 computations (37.7% saved)

rewrite66.0ms (0.7%)

Memory

-13.0MiB live, 32.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

44×	`lower-*.f64`
34×	`lift-*.f32`
24×	`lower-+.f64`
14×	`lift-/.f32`
14×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	262
0	94	260

Stop Event

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

Counts

24 → 26

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

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

simplify419.0ms (4.5%)

Memory

28.3MiB live, 726.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 292×	`lower-*.f64`
7 292×	`lower-*.f32`
5 318×	`lower-fma.f64`
5 318×	`lower-fma.f32`
3 154×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1094	9614
1	3715	9273
0	8535	8981

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 317

Calls

Call 1

Inputs
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (* alpha (* cosTheta (+ cosTheta (* -1 cosTheta)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* alpha (- (* alpha (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ (* (pow cosTheta 3) (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (* cosTheta (* (+ cosTheta (* -1 cosTheta)) (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(* -1/3 (/ alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))
(* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha))))))))
(* alpha (- (* -1 (/ (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (+ (* -1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha)))))))))
(* alpha (- (/ 1/3 (* (pow alpha 3) (* cosTheta (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (- cosTheta 1)) (pow alpha 3))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- cosTheta 1)) (* (pow alpha 3) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ (pow (- cosTheta 1) 2) (* (pow alpha 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha)))))))))))))
(* 1/3 (/ alpha (* cosTheta (* (PI) (log (/ -1 alpha))))))
(* -1 (* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* alpha (* cosTheta (* (PI) (log (/ -1 alpha)))))))) (* 1/3 (/ (- cosTheta 1) (* cosTheta (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))) (+ (* -1/3 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- cosTheta 1)) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ -1 alpha))))))) (- cosTheta 1)))) alpha)) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ -1 alpha)))))))) alpha)) (* 1/3 (/ (- cosTheta 1) (* cosTheta (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))
(* -1 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))))
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
alpha
alpha
alpha
alpha
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(+ (* 3 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* alpha (+ (* 3 (* alpha (* (pow cosTheta 2) (* (PI) (log alpha))))) (* 3 (* cosTheta (* (PI) (* (log alpha) (+ cosTheta (* -1 cosTheta)))))))))
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(* -4 (* (pow alpha 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))
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(* -4 (* (pow alpha 2) (* cosTheta (* (PI) (log (/ -1 alpha))))))
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(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))))
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(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 3)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
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(* (pow cosTheta 2) (+ (* -1 (* (PI) (* (log (pow alpha 3)) (* (- alpha 1) (- (* -1 alpha) 1))))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* -1 (* (PI) (* (log (pow alpha 3)) (* (- alpha 1) (- (* -1 alpha) 1))))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* -1 (* (PI) (* (log (pow alpha 3)) (* (- alpha 1) (- (* -1 alpha) 1))))) (/ (* (PI) (log (pow alpha 3))) (pow cosTheta 2))))
(PI)
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(- (* alpha (- (* alpha (- (* 1/2 (/ (* alpha (pow cosTheta 18)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 4))))) (* 1/2 (/ (pow cosTheta 12) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 3))))))) (* -1/2 (/ (pow cosTheta 6) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 6))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 6))))))))
(/ 1/2 (* alpha (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))
(/ (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 7))) (* alpha (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) alpha)
(/ (- (+ (* 1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 7))) 2) (* (pow alpha 2) (* (pow cosTheta 21) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 7))) (* alpha (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))))) alpha)
(/ (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 7))) 3) (* (pow alpha 3) (* (pow cosTheta 28) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 7) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 7))) 2) (* (pow alpha 2) (* (pow cosTheta 21) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 7))) (* alpha (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))))) alpha)
(/ -1/2 (* alpha (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
(* -1 (/ (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 8))) (* alpha (* (pow cosTheta 16) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 8))) 2) (* alpha (* (pow cosTheta 24) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 8))) (* (pow cosTheta 16) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 8))) 3) (* alpha (* (pow cosTheta 32) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 8))) 2) (* (pow cosTheta 24) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha)) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 8))) (* (pow cosTheta 16) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha))
(/ -1/2 (* (PI) (log alpha)))
(- (* 1/2 (/ (* (pow cosTheta 6) (- alpha 1)) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(- (* (pow cosTheta 6) (- (* -1/2 (/ (* (pow cosTheta 6) (pow (- alpha 1) 2)) (* (PI) (log alpha)))) (* -1/2 (/ (- alpha 1) (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(- (* (pow cosTheta 6) (- (* (pow cosTheta 6) (- (* 1/2 (/ (* (pow cosTheta 6) (pow (- alpha 1) 3)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- alpha 1) 2) (* (PI) (log alpha)))))) (* -1/2 (/ (- alpha 1) (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(/ -1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (- alpha 1)))))
(/ (- (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- alpha 1) 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- alpha 1)))))) (pow cosTheta 6))
(/ (- (/ 1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- alpha 1) 2))))) (+ (/ 1/2 (* (pow cosTheta 12) (* (PI) (* (log alpha) (pow (- alpha 1) 3))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- alpha 1))))))) (pow cosTheta 6))
(/ (- (+ (/ 1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- alpha 1) 2))))) (* 1/2 (/ 1 (* (pow cosTheta 18) (* (PI) (* (log alpha) (pow (- alpha 1) 4))))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (- alpha 1))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (* (log alpha) (pow (- alpha 1) 3)))))))) (pow cosTheta 6))
(/ -1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (- alpha 1)))))
(/ (- (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- alpha 1) 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- alpha 1)))))) (pow cosTheta 6))
(/ (- (/ 1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- alpha 1) 2))))) (+ (/ 1/2 (* (pow cosTheta 12) (* (PI) (* (log alpha) (pow (- alpha 1) 3))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- alpha 1))))))) (pow cosTheta 6))
(/ (- (+ (/ 1/2 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- alpha 1) 2))))) (* 1/2 (/ 1 (* (pow cosTheta 18) (* (PI) (* (log alpha) (pow (- alpha 1) 4))))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (- alpha 1))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (* (log alpha) (pow (- alpha 1) 3)))))))) (pow cosTheta 6))
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* alpha (* (pow cosTheta 2) (* (PI) (log alpha))))) (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))
(+ (* 2 (* alpha (* (pow cosTheta 2) (* (PI) (log alpha))))) (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))
(+ (* 2 (* alpha (* (pow cosTheta 2) (* (PI) (log alpha))))) (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))
(* -2 (* alpha (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* alpha (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) alpha))))
(* alpha (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) alpha))))
(* alpha (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) alpha))))
(* 2 (* alpha (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
(* -1 (* alpha (+ (* -2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) alpha)))))
(* -1 (* alpha (+ (* -2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) alpha)))))
(* -1 (* alpha (+ (* -2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) alpha)))))
(* 2 (* (PI) (log alpha)))
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- alpha 1))))))
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- alpha 1))))))
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- alpha 1))))))
(* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- alpha 1)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- alpha 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- alpha 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- alpha 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- alpha 1)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- alpha 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- alpha 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- alpha 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(log alpha)
(log alpha)
(log alpha)
(log alpha)
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
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(* -1 (log (/ -1 alpha)))
(* -1 (log (/ -1 alpha)))
-1
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(- (pow alpha 2) 1)
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(pow alpha 2)
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(/ -1/7 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 7))))))
(- (* 1/7 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 7))))))) (* 1/7 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 7))))))))
(- (* (pow alpha 2) (+ (* 1/7 (/ (* (pow alpha 5) (pow cosTheta 7)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 7))) 2))))) (* 1/7 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 7))))))))) (* 1/7 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 7))))))))
(- (* (pow alpha 2) (+ (* (pow alpha 5) (- (* -1/7 (/ (* (pow alpha 2) (pow cosTheta 7)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 7))) 2))))) (* -1/7 (/ (pow cosTheta 7) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 7))) 2))))))) (* 1/7 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 7))))))))) (* 1/7 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 7))))))))
(/ -1/3 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 3)))) (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/3 (* (pow alpha 3) (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 3))) 2) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 9) (pow cosTheta 6)))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow alpha 3) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 3))) (- (* 1/3 (/ 1 (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha)))))) (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 3))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 3))))))
(/ 1/11 (* (pow alpha 9) (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))
(* -1 (/ (- (* 1/11 (/ 1 (* (pow alpha 2) (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))) (* 1/11 (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))) (pow alpha 9)))
(* -1 (/ (- (* 1/11 (/ 1 (* (pow alpha 2) (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))) (* 1/11 (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))) (pow alpha 9)))
(* -1 (/ (- (+ (* -1/11 (/ (+ 1 (* -1 (pow cosTheta 11))) (* (pow alpha 11) (* (pow cosTheta 22) (* (PI) (log (/ -1 alpha))))))) (/ 1/11 (* (pow alpha 2) (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))) (* 1/11 (/ 1 (* (pow cosTheta 11) (* (PI) (log (/ -1 alpha))))))) (pow alpha 9)))
(/ (- (* alpha (+ 1 alpha)) (+ 1 alpha)) (* (PI) (log (pow alpha 7))))
(/ (- (* alpha (+ 1 alpha)) (+ 1 alpha)) (* (PI) (log (pow alpha 7))))
(- (+ (* -1 (/ (* (pow cosTheta 7) (* (- (* alpha (+ 1 alpha)) (+ 1 alpha)) (- (pow alpha 7) 1))) (* (PI) (log (pow alpha 7))))) (/ (* alpha (+ 1 alpha)) (* (PI) (log (pow alpha 7))))) (+ (/ 1 (* (PI) (log (pow alpha 7)))) (/ alpha (* (PI) (log (pow alpha 7))))))
(- (+ (* -1 (/ (* (pow cosTheta 7) (* (- (* alpha (+ 1 alpha)) (+ 1 alpha)) (- (pow alpha 7) 1))) (* (PI) (log (pow alpha 7))))) (/ (* alpha (+ 1 alpha)) (* (PI) (log (pow alpha 7))))) (+ (/ 1 (* (PI) (log (pow alpha 7)))) (/ alpha (* (PI) (log (pow alpha 7))))))
(/ (- (* alpha (+ 1 alpha)) (+ 1 alpha)) (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))))
(/ (- (* alpha (+ 1 alpha)) (+ 1 alpha)) (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))))
(/ (- (+ (/ 1 (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2))))) (+ (/ alpha (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2))))) (/ (* alpha (+ 1 alpha)) (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))) (+ (/ alpha (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))) (/ (* alpha (+ 1 alpha)) (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2)))))))) (pow cosTheta 7))
(/ (- (+ (/ 1 (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2))))) (+ (/ alpha (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2))))) (/ (* alpha (+ 1 alpha)) (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))) (+ (/ alpha (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))) (/ (* alpha (+ 1 alpha)) (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2)))))))) (pow cosTheta 7))
(* -1 (/ (- (* alpha (+ 1 alpha)) (+ 1 alpha)) (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1))))))
(* -1 (/ (- (* alpha (+ 1 alpha)) (+ 1 alpha)) (* (pow cosTheta 7) (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1))))))
(* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2)))) (/ alpha (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2))))) (/ (* alpha (+ 1 alpha)) (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2))))) (pow cosTheta 7))) (/ (* alpha (+ 1 alpha)) (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1))))) (+ (/ 1 (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))) (/ alpha (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))))) (pow cosTheta 7)))
(* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2)))) (/ alpha (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2))))) (/ (* alpha (+ 1 alpha)) (* (PI) (* (log (pow alpha 7)) (pow (- (pow alpha 7) 1) 2))))) (pow cosTheta 7))) (/ (* alpha (+ 1 alpha)) (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1))))) (+ (/ 1 (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))) (/ alpha (* (PI) (* (log (pow alpha 7)) (- (pow alpha 7) 1)))))) (pow cosTheta 7)))
alpha
(* alpha (+ 1 alpha))
(* alpha (+ 1 alpha))
(* alpha (+ 1 alpha))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ 1 alpha)))
(* (pow alpha 2) (+ 1 (/ 1 alpha)))
(* (pow alpha 2) (+ 1 (/ 1 alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ 1 alpha)))
(* (pow alpha 2) (+ 1 (/ 1 alpha)))
(* (pow alpha 2) (+ 1 (/ 1 alpha)))
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1)))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* 1/2 (/ (* (pow cosTheta 13) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 13) 1) 2))))))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* -1 (/ (* (pow cosTheta 13) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* 1/2 (/ (* (pow cosTheta 13) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 13) 1) 2))))))) (- (pow cosTheta 13) 1)))))) (* 1/2 (/ (* (pow cosTheta 13) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 13) 1) 2))))))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (/ (* (pow alpha 2) (* (pow cosTheta 13) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* -1 (/ (* (pow cosTheta 13) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* 1/2 (/ (* (pow cosTheta 13) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 13) 1) 2))))))) (- (pow cosTheta 13) 1)))))) (- (pow cosTheta 13) 1))) (* -1 (/ (* (pow cosTheta 13) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* 1/2 (/ (* (pow cosTheta 13) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 13) 1) 2))))))) (- (pow cosTheta 13) 1)))))) (* 1/2 (/ (* (pow cosTheta 13) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 13) 1) 2))))))))
(* 1/2 (/ (pow alpha 2) (* (pow cosTheta 12) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ 1 alpha))))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha)))))))))
(* (pow alpha 2) (- (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ 1 alpha)))))))) (+ (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))) (- (pow cosTheta 14) 1)) (* (pow alpha 4) (pow cosTheta 14)))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))))))
(* (pow alpha 2) (- (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ 1 alpha)))))) (/ (* (- (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))) (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))) (- (pow cosTheta 14) 1)) (pow cosTheta 14)))) (- (pow cosTheta 14) 1)) (* (pow alpha 6) (pow cosTheta 14)))))) (+ (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))) (- (pow cosTheta 14) 1)) (* (pow alpha 4) (pow cosTheta 14)))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))))))
(* 1/2 (/ (pow alpha 2) (* (pow cosTheta 12) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ -1 alpha))))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha)))))))))
(* (pow alpha 2) (- (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha))))))) (- (pow cosTheta 14) 1)) (* (pow alpha 4) (pow cosTheta 14)))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha))))))))))
(* (pow alpha 2) (- (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ -1 alpha)))))) (/ (* (- (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha)))))) (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha))))))) (- (pow cosTheta 14) 1)) (pow cosTheta 14)))) (- (pow cosTheta 14) 1)) (* (pow alpha 6) (pow cosTheta 14)))))) (+ (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha))))))) (- (pow cosTheta 14) 1)) (* (pow alpha 4) (pow cosTheta 14)))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha))))))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (+ (* -1 (/ (* (pow cosTheta 11) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (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)))))
(* -1 (/ (- (pow alpha 2) 1) (* (pow cosTheta 13) (* (PI) (log (pow alpha 2))))))
(/ (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 13))
(/ (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 13))
(/ (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 13))
(/ (- (pow alpha 2) 1) (* (pow cosTheta 13) (* (PI) (log (pow alpha 2)))))
(* -1 (/ (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 13)))
(* -1 (/ (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 13)))
(* -1 (/ (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 13)))
(* 3 (/ (* (PI) (* (log alpha) (- (pow cosTheta 7) 1))) (- (* -1 (pow cosTheta 3)) 1)))
(+ (* 3 (/ (* (PI) (* (log alpha) (- (pow cosTheta 7) 1))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (* -3 (/ (* (pow cosTheta 7) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (pow cosTheta 7) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))))
(+ (* 3 (/ (* (PI) (* (log alpha) (- (pow cosTheta 7) 1))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (+ (* -3 (/ (* (pow cosTheta 7) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* -1 (/ (* (pow alpha 3) (* (pow cosTheta 3) (- (* -3 (/ (* (pow cosTheta 7) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (pow cosTheta 7) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2)))))) (- (* -1 (pow cosTheta 3)) 1)))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (pow cosTheta 7) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))))
(+ (* 3 (/ (* (PI) (* (log alpha) (- (pow cosTheta 7) 1))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (+ (* -3 (/ (* (pow cosTheta 7) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* (pow alpha 3) (- (/ (* (pow alpha 3) (* (pow cosTheta 6) (- (* -3 (/ (* (pow cosTheta 7) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (pow cosTheta 7) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2)))))) (pow (- (* -1 (pow cosTheta 3)) 1) 2)) (/ (* (pow cosTheta 3) (- (* -3 (/ (* (pow cosTheta 7) (* (PI) (log alpha))) (- (* -1 (pow cosTheta 3)) 1))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (pow cosTheta 7) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))) (- (* -1 (pow cosTheta 3)) 1))))) (* 3 (/ (* (pow cosTheta 3) (* (PI) (* (log alpha) (- (pow cosTheta 7) 1)))) (pow (- (* -1 (pow cosTheta 3)) 1) 2))))))
(* 4 (* (pow cosTheta 5) (* (PI) (log (/ 1 alpha)))))
(- (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (* 4 (* (pow cosTheta 5) (* (PI) (log (/ 1 alpha)))))) (* 4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))))
(- (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* -1 (/ (* (- (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))) (* 4 (* (pow cosTheta 5) (* (PI) (log (/ 1 alpha))))))) (* 4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))))
(- (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* 4 (* (pow cosTheta 5) (* (PI) (log (/ 1 alpha))))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow (- (* -1 (pow cosTheta 4)) 1) 2)) (* (pow alpha 12) (pow cosTheta 8))))) (+ (* 4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))))
(* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha)))))
(- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha)))))) (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))))
(- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* -1 (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))) (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha))))))) (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))))
(- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha))))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow (- (* -1 (pow cosTheta 4)) 1) 2)) (* (pow alpha 12) (pow cosTheta 8))))) (+ (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))))
(* (PI) (log (pow alpha 3)))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (- (* cosTheta (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))
(* -1 (* (pow cosTheta 6) (* (PI) (log (pow alpha 3)))))
(* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1))))))
(* (pow cosTheta 6) (- (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 6) (pow (- (pow alpha 3) 1) 2))))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1)))))
(* (pow cosTheta 6) (- (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 9) (- (pow alpha 3) 1))))) (+ (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1))) (+ (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 6) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 9) (pow (- (pow alpha 3) 1) 3)))))))
(* -1 (* (pow cosTheta 6) (* (PI) (log (pow alpha 3)))))
(* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1)))))
(* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (- (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (pow cosTheta 3)))))
(* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (/ (* (PI) (log (pow alpha 3))) (pow (- (pow alpha 3) 1) 3))) (pow cosTheta 3))) (/ (* (PI) (log (pow alpha 3))) (pow (- (pow alpha 3) 1) 2))) (pow cosTheta 3))) (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (pow cosTheta 3)))))
(log alpha)
(log alpha)
(log alpha)
(log alpha)
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ 1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -3 (* (PI) (log (/ -1 alpha))))
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 cosTheta)
(* -1 (pow cosTheta 2))
(* -1 (pow cosTheta 2))
(* -1 (pow cosTheta 2))
(* -1 (pow cosTheta 2))
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
-1
(- (* -1 alpha) 1)
(- (* -1 alpha) 1)
(- (* -1 alpha) 1)
(* -1 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))

Outputs
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))
(- (* 1/2 (/ (* alpha (* cosTheta (+ cosTheta (* -1 cosTheta)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha #s(literal 0 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
(- (* alpha (- (* alpha (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(- (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ (* (pow cosTheta 3) (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (* cosTheta (* (+ cosTheta (* -1 cosTheta)) (- (* 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ 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 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(* -1/3 (/ alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))
(/.f32 (.f32 #s(literal -1/3 binary32) alpha) (.f32 (*.f32 cosTheta (PI.f32)) (neg.f32 (log.f32 alpha))))
(* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha))))))))
(.f32 alpha (+.f32 (/.f32 (fma.f32 cosTheta #s(literal 1/3 binary32) #s(literal -1/3 binary32)) (.f32 (.f32 alpha cosTheta) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))) (/.f32 #s(literal -1/3 binary32) (.f32 (.f32 cosTheta (PI.f32)) (neg.f32 (log.f32 alpha))))))
(* alpha (- (* -1 (/ (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (+ (* -1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha)))))))))
(.f32 alpha (-.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 (.f32 cosTheta cosTheta) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 (+.f32 cosTheta #s(literal -1 binary32)) (+.f32 cosTheta #s(literal -1 binary32)))) (.f32 (.f32 cosTheta (PI.f32)) (neg.f32 (log.f32 alpha))))) (neg.f32 (.f32 alpha alpha))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (fma.f32 cosTheta #s(literal -1/3 binary32) #s(literal 1/3 binary32)) (.f32 (.f32 alpha cosTheta) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))))
(* alpha (- (/ 1/3 (* (pow alpha 3) (* cosTheta (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (- cosTheta 1)) (pow alpha 3))) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- cosTheta 1)) (* (pow alpha 3) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/3 (/ (pow (- cosTheta 1) 2) (* (pow alpha 2) (* cosTheta (* (PI) (log (/ 1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ 1 alpha)))))))))))))
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(* 1/3 (/ alpha (* cosTheta (* (PI) (log (/ -1 alpha))))))
(/.f32 (.f32 #s(literal 1/3 binary32) alpha) (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(* -1 (* alpha (- (* 1/3 (/ (- cosTheta 1) (* alpha (* cosTheta (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
(.f32 (+.f32 (/.f32 (fma.f32 cosTheta #s(literal 1/3 binary32) #s(literal -1/3 binary32)) (.f32 alpha (.f32 (.f32 cosTheta (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 #s(literal -1/3 binary32) (.f32 (.f32 cosTheta (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (neg.f32 alpha))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* alpha (* cosTheta (* (PI) (log (/ -1 alpha)))))))) (* 1/3 (/ (- cosTheta 1) (* cosTheta (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
(.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (.f32 alpha (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (-.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 (+.f32 cosTheta #s(literal -1 binary32)) (+.f32 cosTheta #s(literal -1 binary32)))) (.f32 alpha (.f32 (.f32 cosTheta (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 (fma.f32 cosTheta #s(literal 1/3 binary32) #s(literal -1/3 binary32)) (.f32 (.f32 cosTheta (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) alpha)) (/.f32 #s(literal -1/3 binary32) (.f32 (.f32 cosTheta (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (neg.f32 alpha))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))) (+ (* -1/3 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- cosTheta 1)) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ -1 alpha))))))) (- cosTheta 1)))) alpha)) (+ (* -1/3 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/3 (/ (pow (- cosTheta 1) 2) (* cosTheta (* (PI) (log (/ -1 alpha)))))))) alpha)) (* 1/3 (/ (- cosTheta 1) (* cosTheta (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/3 (/ 1 (* cosTheta (* (PI) (log (/ -1 alpha)))))))))
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(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(fma.f32 (.f32 cosTheta cosTheta) (/.f32 (neg.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (/.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 (neg.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (neg.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) (/.f32 (neg.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha))))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (*.f32 cosTheta cosTheta))
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1
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alpha
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alpha
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(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* -1 (/ (* (pow cosTheta 13) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 13) 1))))) (* 1/2 (/ (* (pow cosTheta 13) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 13) 1) 2))))))) (- (pow cosTheta 13) 1)))))) (* 1/2 (/ (* (pow cosTheta 13) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 13) 1) 2))))))))
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(* 1/2 (/ (pow alpha 2) (* (pow cosTheta 12) (* (PI) (log (/ 1 alpha))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (pow.f32 cosTheta #s(literal 12 binary32))))
(* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ 1 alpha))))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha)))))))))
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(* (pow alpha 2) (- (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ 1 alpha)))))))) (+ (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))) (- (pow cosTheta 14) 1)) (* (pow alpha 4) (pow cosTheta 14)))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))))))
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(* (pow alpha 2) (- (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ 1 alpha)))))) (/ (* (- (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))) (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))) (- (pow cosTheta 14) 1)) (pow cosTheta 14)))) (- (pow cosTheta 14) 1)) (* (pow alpha 6) (pow cosTheta 14)))))) (+ (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))) (- (pow cosTheta 14) 1)) (* (pow alpha 4) (pow cosTheta 14)))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ 1 alpha))))))))))
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(* 1/2 (/ (pow alpha 2) (* (pow cosTheta 12) (* (PI) (log (/ -1 alpha))))))
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(* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ -1 alpha))))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha)))))))))
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(* (pow alpha 2) (- (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 12) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1 (/ (* (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 14) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha))))))) (- (pow cosTheta 14) 1)) (* (pow alpha 4) (pow cosTheta 14)))) (* -1/2 (/ (- (pow cosTheta 14) 1) (* (pow alpha 2) (* (pow cosTheta 26) (* (PI) (log (/ -1 alpha))))))))))
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(- (+ (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* 4 (* (pow cosTheta 5) (* (PI) (log (/ 1 alpha))))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow (- (* -1 (pow cosTheta 4)) 1) 2)) (* (pow alpha 12) (pow cosTheta 8))))) (+ (* 4 (/ (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))))
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(* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha)))))
(.f32 #s(literal 4 binary32) (.f32 (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha)))))) (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))))
(fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 (pow.f32 cosTheta #s(literal 9 binary32)) #s(literal -1 binary32)))) (.f32 (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) cosTheta) (pow.f32 alpha #s(literal 4 binary32)))) (fma.f32 #s(literal 4 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (.f32 #s(literal -4 binary32) (.f32 cosTheta (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32))))) (pow.f32 alpha #s(literal 4 binary32)))))
(- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* -1 (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))) (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha))))))) (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))))
(+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 (pow.f32 cosTheta #s(literal 9 binary32)) #s(literal -1 binary32)))) (.f32 (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) cosTheta) (pow.f32 alpha #s(literal 4 binary32)))) (fma.f32 #s(literal 4 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 (pow.f32 cosTheta #s(literal 9 binary32)) #s(literal -1 binary32)))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) cosTheta)) (.f32 #s(literal -4 binary32) (.f32 cosTheta (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32)))))) (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) cosTheta) (pow.f32 alpha #s(literal 8 binary32)))))))) (/.f32 (.f32 #s(literal -4 binary32) (.f32 cosTheta (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32))))) (pow.f32 alpha #s(literal 4 binary32))))
(- (+ (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (* (pow alpha 4) (pow cosTheta 4)))) (+ (* 4 (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha))))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (pow (- (* -1 (pow cosTheta 4)) 1) 2)) (* (pow alpha 12) (pow cosTheta 8))))) (+ (* 4 (/ (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))) (pow alpha 4))) (/ (* (- (* -4 (/ (* (PI) (* (log (/ -1 alpha)) (- (pow cosTheta 9) 1))) (pow cosTheta 4))) (* 4 (* cosTheta (* (PI) (* (log (/ -1 alpha)) (- (* -1 (pow cosTheta 4)) 1)))))) (- (* -1 (pow cosTheta 4)) 1)) (* (pow alpha 8) (pow cosTheta 4)))))
(fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 (pow.f32 cosTheta #s(literal 9 binary32)) #s(literal -1 binary32)))) (.f32 (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) cosTheta) (pow.f32 alpha #s(literal 4 binary32)))) (-.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 (pow.f32 cosTheta #s(literal 9 binary32)) #s(literal -1 binary32)))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) cosTheta)) (.f32 #s(literal -4 binary32) (.f32 cosTheta (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32)))))) (/.f32 (.f32 (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (pow.f32 alpha #s(literal 12 binary32)))) (.f32 #s(literal 4 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (fma.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 (pow.f32 cosTheta #s(literal 9 binary32)) #s(literal -1 binary32)))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) cosTheta)) (.f32 #s(literal -4 binary32) (.f32 cosTheta (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32)))))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) cosTheta) (pow.f32 alpha #s(literal 8 binary32)))) (/.f32 (.f32 (.f32 #s(literal 4 binary32) cosTheta) (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (fma.f32 (.f32 cosTheta (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta) #s(literal -1 binary32)))) (pow.f32 alpha #s(literal 4 binary32))))))
(* (PI) (log (pow alpha 3)))
(.f32 (PI.f32) (log.f32 (.f32 alpha (*.f32 alpha alpha))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))
(fma.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))
(fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))) (.f32 (PI.f32) (log.f32 (.f32 alpha (*.f32 alpha alpha)))))
(+ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (* (pow cosTheta 3) (- (* cosTheta (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))) (* -1 (* (PI) (* (log (pow alpha 3)) (pow (- (pow alpha 3) 1) 2)))))) (* -1 (* (PI) (* (log (pow alpha 3)) (- (pow alpha 3) 1)))))))
(fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 cosTheta (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))) (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))))
(* -1 (* (pow cosTheta 6) (* (PI) (log (pow alpha 3)))))
(neg.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (.f32 alpha (.f32 alpha alpha)))))
(* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1))))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (neg.f32 (fma.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))))
(* (pow cosTheta 6) (- (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 6) (pow (- (pow alpha 3) 1) 2))))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (-.f32 (neg.f32 (fma.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))))))
(* (pow cosTheta 6) (- (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 9) (- (pow alpha 3) 1))))) (+ (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1))) (+ (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 6) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 9) (pow (- (pow alpha 3) 1) 3)))))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (-.f32 (neg.f32 (fma.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (pow.f32 cosTheta #s(literal 9 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))) (fma.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (fma.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (pow.f32 cosTheta #s(literal 9 binary32)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)))))))))
(* -1 (* (pow cosTheta 6) (* (PI) (log (pow alpha 3)))))
(neg.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (.f32 alpha (.f32 alpha alpha)))))
(* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (- (pow alpha 3) 1)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))) (.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (neg.f32 (PI.f32)))))
(* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (- (/ (* (PI) (log (pow alpha 3))) (* (pow cosTheta 3) (pow (- (pow alpha 3) 1) 2))) (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (pow cosTheta 3)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (neg.f32 (fma.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha))) (/.f32 (fma.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (neg.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))) (.f32 cosTheta (*.f32 cosTheta cosTheta))))))
(* (pow cosTheta 6) (+ (* -1 (* (PI) (log (pow alpha 3)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (/ (* (PI) (log (pow alpha 3))) (pow (- (pow alpha 3) 1) 3))) (pow cosTheta 3))) (/ (* (PI) (log (pow alpha 3))) (pow (- (pow alpha 3) 1) 2))) (pow cosTheta 3))) (/ (* (PI) (log (pow alpha 3))) (- (pow alpha 3) 1))) (pow cosTheta 3)))))
(.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (neg.f32 (fma.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha))) (/.f32 (neg.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (neg.f32 (fma.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))))) (.f32 cosTheta (.f32 cosTheta cosTheta))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)))))) (.f32 cosTheta (.f32 cosTheta cosTheta))) (/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha (.f32 alpha alpha)))) (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32))))) (.f32 cosTheta (.f32 cosTheta cosTheta))))))
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* 2 (* (PI) (log alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(* -3 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -3 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -3 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -3 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* -3 (* (PI) (log (/ -1 alpha))))
(.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -3 (* (PI) (log (/ -1 alpha))))
(.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -3 (* (PI) (log (/ -1 alpha))))
(.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -3 (* (PI) (log (/ -1 alpha))))
(.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 cosTheta)
(neg.f32 cosTheta)
(* -1 (pow cosTheta 2))
(neg.f32 (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(neg.f32 (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(neg.f32 (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(neg.f32 (*.f32 cosTheta cosTheta))
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
-1
#s(literal -1 binary32)
(- (* -1 alpha) 1)
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))
(- (* -1 alpha) 1)
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))
(- (* -1 alpha) 1)
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))
(* -1 alpha)
(neg.f32 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))
(* -1 alpha)
(neg.f32 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(+.f32 #s(literal -1 binary32) (neg.f32 alpha))

eval52.0ms (0.6%)

Memory: -0.3MiB live, 115.6MiB allocated
Compiler: Compiled 18 765 to 1 111 computations (94.1% saved)

prune64.0ms (0.7%)

Memory

-22.0MiB live, 178.3MiB allocated

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	504	5	509
Fresh	2	29	31
Picked	2	3	5
Done	0	4	4
Total	508	41	549

Accuracy

100.0%

Counts

549 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(fma.f32 alpha (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	97.6%	(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (.f32 (+.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 #s(literal -1 binary32) cosTheta) cosTheta))))
	98.2%	(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (neg.f32 (fma.f32 alpha (/.f32 #s(literal 1 binary32) alpha) (neg.f32 alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	95.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
	98.2%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.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))))
	78.7%	(/.f32 (/.f32 (.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #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))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 (log.f32 (PI.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
✓	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #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))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 cosTheta (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))))
	96.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	96.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
	98.2%	(/.f32 (+.f32 (fma.f32 alpha alpha alpha) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.4%	(/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
	67.7%	(/.f32 (+.f32 (.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.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))))
	98.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (.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))))
	98.3%	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.0%	(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))))
	67.6%	(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
	66.9%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	-0.0%	(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)))
	67.6%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
✓	67.7%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	67.5%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
	67.7%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))

Compiler

Compiled 2 661 to 876 computations (67.1% saved)

regimes75.0ms (0.8%)

Memory

5.3MiB live, 148.5MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)))
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 alpha (.f32 alpha alpha)) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.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 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))))
(/.f32 (+.f32 (.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.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 (.f32 (.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (.f32 (+.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 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.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)) (neg.f32 (+.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 (fma.f32 alpha alpha alpha) (neg.f32 (+.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 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.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 (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.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 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (.f32 (+.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 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #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 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) alpha) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (neg.f32 (fma.f32 alpha (/.f32 #s(literal 1 binary32) alpha) (neg.f32 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 (.f32 alpha alpha) (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 (/.f32 (.f32 (fma.f32 alpha (.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.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 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (fma.f32 cosTheta (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (neg.f32 (.f32 alpha (*.f32 alpha alpha))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (/.f32 (fma.f32 (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.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 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 (log.f32 (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 alpha (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (.f32 (log.f32 alpha) (PI.f32))) (+.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 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))))

Calls

4 calls:

26.0ms	alpha
16.0ms	(*.f32 alpha alpha)
16.0ms	cosTheta
15.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes74.0ms (0.8%)

Memory

-17.8MiB live, 60.1MiB allocated

Counts

27 → 1

Calls

Call 1

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

Calls

4 calls:

36.0ms	(*.f32 alpha alpha)
21.0ms	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

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes30.0ms (0.3%)

Memory

22.6MiB live, 63.9MiB allocated

Counts

23 → 1

Calls

Call 1

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

9.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
7.0ms	(*.f32 alpha alpha)
7.0ms	alpha
7.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta`
98.5%	1	`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	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes29.0ms (0.3%)

Memory

-10.0MiB live, 67.9MiB allocated

Counts

21 → 1

Calls

Call 1

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

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 #s(literal -1 binary32) cosTheta) cosTheta))))

Calls

4 calls:

8.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
7.0ms	cosTheta
6.0ms	alpha
6.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes27.0ms (0.3%)

Memory

-20.6MiB live, 60.5MiB allocated

Counts

19 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`cosTheta`
97.7%	1	`alpha`
97.7%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
97.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes19.0ms (0.2%)

Memory

17.4MiB live, 57.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.0%	1	`cosTheta`
96.0%	1	`alpha`
96.0%	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))))`
96.0%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes18.0ms (0.2%)

Memory

16.1MiB live, 55.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	alpha
4.0ms	(*.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	cosTheta

Results

Accuracy	Segments	Branch
96.0%	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))))`
96.0%	1	`cosTheta`
96.0%	1	`alpha`
96.0%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes14.0ms (0.1%)

Memory

-4.2MiB live, 35.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f32 alpha 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	alpha
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.9%	1	`cosTheta`
95.9%	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))))`
95.9%	1	`alpha`
95.9%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes32.0ms (0.3%)

Memory

-15.7MiB live, 24.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	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))))
2.0ms	cosTheta
2.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
66.9%	1	`cosTheta`
66.9%	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))))`
66.9%	1	`alpha`
66.9%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes8.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (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	alpha
2.0ms	(*.f32 alpha alpha)
2.0ms	cosTheta

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

simplify38.0ms (0.4%)

Memory

-19.9MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary32`
14×	`+-commutative_binary32`
10×	`sub-neg_binary32`
6×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	155
1	75	155
2	81	155
3	89	155
4	91	155

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (12.3%)

Memory

2.5MiB live, 869.8MiB allocated

Rules

8 438×	`lower-*.f64`
8 438×	`lower-*.f32`
7 976×	`lower-fma.f64`
7 976×	`lower-fma.f32`
7 292×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	1937
1	642	1886
2	2643	1830
0	8053	1774
0	1094	9614
1	3715	9273
0	8535	8981
0	13	50
0	23	50
1	98	50
2	768	48
0	8446	42
0	922	8895
1	3105	8558
0	9018	8346
0	914	10802
1	3025	10370
0	8139	10000

Stop Event

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

Compiler

Compiled 447 to 231 computations (48.3% saved)

preprocess60.0ms (0.6%)

Memory

28.4MiB live, 111.0MiB allocated

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 1 338 to 690 computations (48.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze59.0ms (0.6%)

sample2.1s (22.6%)

preprocess417.0ms (4.4%)

explain230.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify349.0ms (3.7%)

localize70.0ms (0.7%)

series65.0ms (0.7%)

rewrite360.0ms (3.8%)

simplify406.0ms (4.3%)

eval71.0ms (0.8%)

prune130.0ms (1.4%)

simplify13.0ms (0.1%)

localize178.0ms (1.9%)

series317.0ms (3.4%)

rewrite20.0ms (0.2%)

simplify398.0ms (4.2%)

eval64.0ms (0.7%)

prune74.0ms (0.8%)

simplify21.0ms (0.2%)

localize167.0ms (1.8%)

series332.0ms (3.5%)

rewrite16.0ms (0.2%)

simplify411.0ms (4.4%)

eval47.0ms (0.5%)

prune133.0ms (1.4%)

simplify12.0ms (0.1%)

localize168.0ms (1.8%)

series555.0ms (5.9%)

rewrite66.0ms (0.7%)

simplify419.0ms (4.5%)

eval52.0ms (0.6%)

prune64.0ms (0.7%)

regimes75.0ms (0.8%)

regimes74.0ms (0.8%)

regimes30.0ms (0.3%)

regimes29.0ms (0.3%)

regimes27.0ms (0.3%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.1%)

regimes32.0ms (0.3%)

regimes8.0ms (0.1%)

simplify38.0ms (0.4%)

soundness1.1s (12.3%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling