Metrics for GTR1 distribution

analyze84.0ms (0.8%)

Memory

-22.6MiB live, 96.3MiB 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)

sample1.8s (17.4%)

Memory

-105.5MiB live, 2 480.8MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 978.0ms

ival-mult: 324.0ms (33.1% of total)

const: 133.0ms (13.6% of total)

ival-<=: 131.0ms (13.4% of total)

ival-log: 119.0ms (12.2% of total)

ival-div: 90.0ms (9.2% of total)

ival-sub: 76.0ms (7.8% of total)

ival-add: 38.0ms (3.9% of total)

ival-pi: 30.0ms (3.1% of total)

ival-and: 22.0ms (2.2% of total)

exact: 11.0ms (1.1% of total)

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

Bogosity

preprocess541.0ms (5.1%)

Memory

19.5MiB live, 491.1MiB 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)

explain231.0ms (2.2%)

Memory

-8.7MiB live, 245.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 238 to 56 computations (76.5% saved)

Precisions

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

ival-mult: 15.0ms (35.5% of total)

ival-add: 13.0ms (30.8% of total)

ival-log: 6.0ms (14.2% of total)

ival-div: 4.0ms (9.5% of total)

ival-pi: 2.0ms (4.7% of total)

ival-sub: 2.0ms (4.7% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

simplify379.0ms (3.6%)

Memory

-7.3MiB live, 699.1MiB 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

localize42.0ms (0.4%)

Memory

13.1MiB live, 94.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
✓	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.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))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

25.0ms

256×

valid

Compiler

Compiled 93 to 15 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (51.4% of total)

ival-log: 3.0ms (17.1% of total)

ival-div: 2.0ms (11.4% of total)

ival-pi: 1.0ms (5.7% of total)

ival-add: 1.0ms (5.7% of total)

ival-sub: 1.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory

13.9MiB live, 88.4MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
27.0ms	alpha	@	0	(* (PI) (log (* alpha alpha)))
8.0ms	alpha	@	inf	(* (PI) (log (* alpha alpha)))
2.0ms	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))))
1.0ms	cosTheta	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite341.0ms (3.2%)

Memory

-30.1MiB live, 581.1MiB 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	46
0	23	46
1	98	46
2	768	44
0	8448	39

Stop Event

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

Counts

4 → 456

Calls

Call 1

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

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

simplify482.0ms (4.6%)

Memory

8.2MiB live, 529.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 090×	`lower-fma.f64`
8 090×	`lower-fma.f32`
5 838×	`lower-*.f64`
5 838×	`lower-*.f32`
4 618×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1959
1	552	1906
2	2134	1849
0	8489	1768

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

simplify108.0ms (1%)

Memory

12.1MiB live, 206.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1159	15677
1	1160	15677
0	1160	15677

Stop Event

1×	saturated
1×	saturated

Counts

456 → 0

Calls

Call 1

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

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

eval15.0ms (0.1%)

Memory: -5.2MiB live, 35.2MiB allocated
Compiler: Compiled 5 674 to 207 computations (96.4% saved)

prune12.0ms (0.1%)

Memory

-6.6MiB live, 32.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	159	9	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	9	169

Accuracy

99.0%

Counts

169 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (.f32 (/.f32 #s(literal -1 binary32) (log.f32 (.f32 alpha alpha))) (-.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (PI.f32)) (.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))) (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)))))
	98.2%	(fma.f32 (.f32 alpha alpha) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta (/.f32 cosTheta (.f32 (.f32 (PI.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 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) (.f32 (.f32 (.f32 cosTheta cosTheta) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (PI.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 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))))) (/.f32 (.f32 alpha alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
▶	96.9%	(fma.f32 cosTheta (neg.f32 (/.f32 (.f32 cosTheta (.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)))))
	97.9%	(fma.f32 alpha (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (PI.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 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
▶	95.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
▶	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	65.9%	(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))

Compiler

Compiled 720 to 306 computations (57.5% saved)

simplify703.0ms (6.7%)

Memory

14.6MiB live, 483.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta cosTheta)
✓	cost-diff	160	(.f32 (/.f32 #s(literal -1 binary32) (log.f32 (.f32 alpha alpha))) (-.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (PI.f32)) (.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))) (PI.f32)))))
✓	cost-diff	704	(fma.f32 (.f32 cosTheta cosTheta) (.f32 (/.f32 #s(literal -1 binary32) (log.f32 (.f32 alpha alpha))) (-.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (PI.f32)) (.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))) (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)))))
✓	cost-diff	3040	(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (.f32 (/.f32 #s(literal -1 binary32) (log.f32 (.f32 alpha alpha))) (-.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (PI.f32)) (.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))) (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)))))
✓	cost-diff	0	(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	cost-diff	0	(/.f32 (.f32 cosTheta (.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))))
✓	cost-diff	0	(neg.f32 (/.f32 (.f32 cosTheta (.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)))))
✓	cost-diff	4064	(fma.f32 cosTheta (neg.f32 (/.f32 (.f32 cosTheta (.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)))))
✓	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 (neg.f32 cosTheta) cosTheta))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
✓	cost-diff	64	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
✓	cost-diff	64	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))

Rules

14 486×	`lower-fma.f64`
14 478×	`lower-fma.f32`
5 108×	`lower-*.f64`
5 078×	`lower-*.f32`
2 452×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	643
0	82	639
1	203	593
2	757	593
3	4006	575
0	8067	569

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

localize293.0ms (2.8%)

Memory

24.9MiB live, 252.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	98.6%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	97.2%	(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32))
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
✓	accuracy	99.0%	(/.f32 (.f32 cosTheta (.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))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	98.6%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	99.9%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	accuracy	99.8%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.8%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.7%	(.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)
✓	accuracy	99.4%	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	99.1%	(/.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 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

97.0ms

256×

valid

Compiler

Compiled 706 to 47 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 25.0ms (42.7% of total)

ival-div: 12.0ms (20.5% of total)

ival-add: 6.0ms (10.2% of total)

ival-pow: 5.0ms (8.5% of total)

ival-log: 3.0ms (5.1% of total)

ival-neg: 3.0ms (5.1% of total)

ival-sub: 2.0ms (3.4% of total)

ival-pi: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory

-31.8MiB live, 56.6MiB allocated

Counts

13 → 204

Calls

Call 1

Inputs
#<alt (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))>
#<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 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))>
#<alt (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))>
#<alt (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))>
#<alt (log.f32 (*.f32 alpha alpha))>
#<alt (PI.f32)>
#<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 (neg.f32 cosTheta) cosTheta))))>
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))>
#<alt (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))>
#<alt (/.f32 (.f32 cosTheta (.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))))>
#<alt (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32))>
#<alt (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))>

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

Calls

51 calls:

Time	Variable		Point	Expression
41.0ms	cosTheta	@	0	(/ (* cosTheta (* (+ (* alpha alpha) -1) (+ (* alpha alpha) -1))) (* (PI) (log (* alpha alpha))))
13.0ms	cosTheta	@	inf	(/ (* cosTheta (* (+ (* alpha alpha) -1) (+ (* alpha alpha) -1))) (* (PI) (log (* alpha alpha))))
1.0ms	cosTheta	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
1.0ms	alpha	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
1.0ms	alpha	@	inf	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))

rewrite541.0ms (5.1%)

Memory

34.4MiB live, 468.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 012×	`lower-/.f64`
5 004×	`lower-/.f32`
3 978×	`lower-*.f64`
3 958×	`lower-*.f32`
3 458×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
0	51	114
1	217	113
2	1824	113
0	8189	112

Stop Event

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

Counts

13 → 982

Calls

Call 1

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

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

simplify414.0ms (3.9%)

Memory

-32.9MiB live, 579.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 080×	`lower-fma.f64`
7 080×	`lower-fma.f32`
6 210×	`lower-*.f64`
6 210×	`lower-*.f32`
3 424×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	4194
1	1108	4044
2	4101	4034
0	8798	3887

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 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 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(/ -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))))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ (- (pow alpha 2) 1) (* (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))
(* 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 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 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)))
(/ -1/2 (* (PI) (log alpha)))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(* -1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha)))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))
(* -1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha)))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha)))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha)))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha)))))))
(* 2 (log alpha))
(* 2 (log alpha))
(* 2 (log alpha))
(* 2 (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)))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(* -1/2 (/ (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* -1/2 (/ (pow alpha 2) (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (/ (* (pow cosTheta 2) (- (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 alpha 2) 1)) (* (PI) (log (pow alpha 2)))) (* -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 cosTheta 2) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))) (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))) (* -1 (/ (- (pow alpha 2) 1) (* (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 2) (* (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 alpha 2) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 4) (* (PI) (log (pow alpha 2))))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (pow alpha 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 6) (* (PI) (log (pow alpha 2))))))) (+ (* -1 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (pow cosTheta 4))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (pow alpha 2)))))))) (pow cosTheta 2))
(* -1 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (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 alpha 2) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 4) (* (PI) (log (pow alpha 2))))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (pow alpha 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 6) (* (PI) (log (pow alpha 2))))))) (+ (* -1 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (pow cosTheta 4))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (log (pow alpha 2)))))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(- (pow alpha 2) 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 (* -2 (pow alpha 2)))
(+ 1 (* (pow alpha 2) (- (pow alpha 2) 2)))
(+ 1 (* (pow alpha 2) (- (pow alpha 2) 2)))
(pow alpha 4)
(* (pow alpha 4) (- 1 (* 2 (/ 1 (pow alpha 2)))))
(* (pow alpha 4) (- (+ 1 (/ 1 (pow alpha 4))) (* 2 (/ 1 (pow alpha 2)))))
(* (pow alpha 4) (- (+ 1 (/ 1 (pow alpha 4))) (* 2 (/ 1 (pow alpha 2)))))
(pow alpha 4)
(* (pow alpha 4) (- 1 (* 2 (/ 1 (pow alpha 2)))))
(* (pow alpha 4) (- (+ 1 (/ 1 (pow alpha 4))) (* 2 (/ 1 (pow alpha 2)))))
(* (pow alpha 4) (- (+ 1 (/ 1 (pow alpha 4))) (* 2 (/ 1 (pow alpha 2)))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))
(* 1/2 (/ cosTheta (* (PI) (log alpha))))
(+ (* -1 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))) (* 1/2 (/ cosTheta (* (PI) (log alpha)))))
(+ (* 1/2 (/ cosTheta (* (PI) (log alpha)))) (* (pow alpha 2) (+ (* -1 (/ cosTheta (* (PI) (log alpha)))) (* 1/2 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))))))
(+ (* 1/2 (/ cosTheta (* (PI) (log alpha)))) (* (pow alpha 2) (+ (* -1 (/ cosTheta (* (PI) (log alpha)))) (* 1/2 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))))))
(* -1/2 (/ (* (pow alpha 4) cosTheta) (* (PI) (log (/ 1 alpha)))))
(* (pow alpha 4) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))
(* (pow alpha 4) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (+ (* -1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha))))))))
(* (pow alpha 4) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (+ (* -1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha))))))))
(* -1/2 (/ (* (pow alpha 4) cosTheta) (* (PI) (log (/ -1 alpha)))))
(* (pow alpha 4) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))
(* (pow alpha 4) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (+ (* -1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha))))))))
(* (pow alpha 4) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (+ (* -1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha))))))))
1
(+ 1 (* -4 (pow alpha 2)))
(+ 1 (* (pow alpha 2) (- (* 6 (pow alpha 2)) 4)))
(+ 1 (* (pow alpha 2) (- (* (pow alpha 2) (+ 6 (* -4 (pow alpha 2)))) 4)))
(pow alpha 8)
(* (pow alpha 8) (- 1 (* 4 (/ 1 (pow alpha 2)))))
(* (pow alpha 8) (- (+ 1 (/ 6 (pow alpha 4))) (* 4 (/ 1 (pow alpha 2)))))
(* (pow alpha 8) (- (+ 1 (/ 6 (pow alpha 4))) (+ (* 4 (/ 1 (pow alpha 2))) (* 4 (/ 1 (pow alpha 6))))))
(pow alpha 8)
(* (pow alpha 8) (- 1 (* 4 (/ 1 (pow alpha 2)))))
(* (pow alpha 8) (- (+ 1 (/ 6 (pow alpha 4))) (* 4 (/ 1 (pow alpha 2)))))
(* (pow alpha 8) (- (+ 1 (/ 6 (pow alpha 4))) (+ (* 4 (/ 1 (pow alpha 2))) (* 4 (/ 1 (pow alpha 6))))))
(* -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 alpha))))
(* 2 (* (PI) (log (/ -1 alpha))))
(* 2 (* (PI) (log (/ -1 alpha))))
(* 2 (* (PI) (log (/ -1 alpha))))

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

simplify286.0ms (2.7%)

Memory

7.4MiB live, 567.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2328	36149
1	2329	36149
0	2329	36149

Stop Event

1×	saturated
1×	saturated

Counts

982 → 0

Calls

Call 1

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

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

eval67.0ms (0.6%)

Memory: 23.6MiB live, 215.2MiB allocated
Compiler: Compiled 34 174 to 567 computations (98.3% saved)

prune38.0ms (0.4%)

Memory

-22.5MiB live, 105.5MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	802	14	816
Fresh	2	2	4
Picked	4	1	5
Done	0	0	0
Total	808	17	825

Accuracy

99.6%

Counts

825 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (.f32 (/.f32 #s(literal -1 binary32) (log.f32 (.f32 alpha alpha))) (-.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (PI.f32)) (.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))) (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 alpha (.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))))
	98.2%	(fma.f32 (.f32 alpha alpha) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta (/.f32 cosTheta (.f32 (.f32 (PI.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 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) (.f32 (.f32 (.f32 cosTheta cosTheta) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (PI.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 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))))) (/.f32 (.f32 alpha alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
▶	97.9%	(fma.f32 (.f32 alpha alpha) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (PI.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 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
	95.2%	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
▶	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
▶	97.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	95.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	95.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶	98.1%	(/.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 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	97.2%	(/.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 (neg.f32 cosTheta) cosTheta))))
	65.9%	(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
▶	64.7%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	66.0%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	96.6%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
	97.2%	(.f32 (.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 alpha alpha)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (neg.f32 (log.f32 alpha))))))
	94.6%	(.f32 alpha (.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha))))))

Compiler

Compiled 1 039 to 533 computations (48.7% saved)

simplify431.0ms (4.1%)

Memory

9.9MiB live, 562.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(fma.f32 (.f32 alpha alpha) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (PI.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 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
✓	cost-diff	128	(*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))
✓	cost-diff	3808	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (PI.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 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
✓	cost-diff	0	(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha)
✓	cost-diff	0	(/.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 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
✓	cost-diff	96	(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) alpha)
✓	cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
✓	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
✓	cost-diff	0	(log.f32 alpha)
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 (PI.f32) (log.f32 alpha))
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
✓	cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)))
✓	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))

Rules

10 132×	`lower-fma.f64`
10 124×	`lower-fma.f32`
5 216×	`lower-*.f64`
5 186×	`lower-*.f32`
2 154×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	487
0	77	484
1	185	484
2	628	484
3	2900	461
4	5496	461
0	8138	447

Stop Event

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

Calls

Call 1

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

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

localize329.0ms (3.1%)

Memory

-4.8MiB live, 314.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
✓	accuracy	99.1%	(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
✓	accuracy	98.8%	(*.f32 (PI.f32) (log.f32 alpha))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))
✓	accuracy	99.2%	(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) alpha)
✓	accuracy	99.1%	(/.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 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	98.7%	(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha)
✓	accuracy	99.9%	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
✓	accuracy	99.8%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.2%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
✓	accuracy	98.8%	(*.f32 (PI.f32) (log.f32 alpha))
✓	accuracy	99.7%	(.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)
✓	accuracy	99.4%	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

167.0ms

256×

valid

Compiler

Compiled 525 to 45 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 84.0ms (57.2% of total)

ival-add: 41.0ms (27.9% of total)

ival-div: 13.0ms (8.9% of total)

ival-log: 6.0ms (4.1% of total)

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series142.0ms (1.3%)

Memory

-11.5MiB live, 185.4MiB allocated

Counts

17 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
54.0ms	alpha	@	-inf	(* (PI) (log alpha))
28.0ms	alpha	@	inf	(* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta)))
21.0ms	alpha	@	0	(* (PI) (log alpha))
7.0ms	alpha	@	inf	(* (PI) (log alpha))
4.0ms	cosTheta	@	0	(* (PI) (* (log alpha) (+ (* cosTheta (neg cosTheta)) 1)))

rewrite336.0ms (3.2%)

Memory

36.0MiB live, 714.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 798×	`lower-/.f64`
4 784×	`lower-/.f32`
4 062×	`lower-*.f64`
4 038×	`lower-*.f32`
3 184×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	173
0	63	171
1	256	168
2	1939	165
0	8314	163

Stop Event

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

Counts

17 → 676

Calls

Call 1

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

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

simplify294.0ms (2.8%)

Memory

-5.0MiB live, 628.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 584×	`lower-*.f64`
6 584×	`lower-*.f32`
5 480×	`lower-fma.f64`
5 480×	`lower-fma.f32`
2 926×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	6848
1	1241	6533
2	5128	6505
0	8084	6324

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 298

Calls

Call 1

Inputs
(* 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 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(/ -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))))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ (- (pow alpha 2) 1) (* (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))
(* 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 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 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)))
(* (PI) (log alpha))
(* (PI) (log alpha))
(* (PI) (log alpha))
(* (PI) (log alpha))
(* -1 (* (PI) (log (/ 1 alpha))))
(* -1 (* (PI) (log (/ 1 alpha))))
(* -1 (* (PI) (log (/ 1 alpha))))
(* -1 (* (PI) (log (/ 1 alpha))))
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))
(/ -1/2 (* (PI) (log alpha)))
(/ -1/2 (* (PI) (log alpha)))
(/ -1/2 (* (PI) (log alpha)))
(/ -1/2 (* (PI) (log alpha)))
(/ 1/2 (* (PI) (log (/ 1 alpha))))
(/ 1/2 (* (PI) (log (/ 1 alpha))))
(/ 1/2 (* (PI) (log (/ 1 alpha))))
(/ 1/2 (* (PI) (log (/ 1 alpha))))
(/ -1/2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(/ -1/2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(/ -1/2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(/ -1/2 (* (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)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(* -1/2 (/ (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* -1/2 (/ (pow alpha 2) (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (/ (* (pow cosTheta 2) (- (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 alpha 2) 1)) (* (PI) (log (pow alpha 2)))) (* -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 cosTheta 2) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))) (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))) (* -1 (/ (- (pow alpha 2) 1) (* (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 2) (* (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 alpha 2) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (pow cosTheta 4) (* (PI) (log (pow alpha 2))))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (pow alpha 2))))))) (pow cosTheta 2))
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Outputs
(* 2 (* (PI) (log alpha)))
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(* 2 (* (PI) (log alpha)))
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(+ (* (pow cosTheta 2) (+ (* (pow cosTheta 2) (+ (* 1/2 (/ (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
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(/ -1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))
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(/ (- (* -1 (/ (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log alpha)))))) (pow cosTheta 2))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (pow cosTheta 2))
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(/ (- (* -1 (/ (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log alpha)))))) (pow cosTheta 4))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (pow cosTheta 2))
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(/ -1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))
(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
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(/ (- (* -1 (/ (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log alpha)))))) (pow cosTheta 4))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (pow cosTheta 2))
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simplify126.0ms (1.2%)

Memory

1.6MiB live, 207.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1396	14818
1	1397	14818
0	1397	14818

Stop Event

1×	saturated
1×	saturated

Counts

676 → 0

Calls

Call 1

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

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

eval100.0ms (1%)

Memory: -5.5MiB live, 105.6MiB allocated
Compiler: Compiled 35 166 to 436 computations (98.8% saved)

prune40.0ms (0.4%)

Memory

-2.2MiB live, 72.6MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	923	9	932
Fresh	1	10	11
Picked	3	2	5
Done	0	1	1
Total	927	22	949

Accuracy

99.7%

Counts

949 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (.f32 (/.f32 #s(literal -1 binary32) (log.f32 (.f32 alpha alpha))) (-.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (PI.f32)) (.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))) (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 alpha (.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))))
	98.2%	(fma.f32 (.f32 alpha alpha) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.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 (log.f32 alpha) (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 (PI.f32)) (PI.f32)))))) (neg.f32 (/.f32 (.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.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 (log.f32 alpha) (fma.f32 (.f32 cosTheta cosTheta) (neg.f32 (PI.f32)) (PI.f32)))))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)) (PI.f32)))))
▶	95.2%	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
	97.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
✓	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	42.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (PI.f32) (.f32 cosTheta cosTheta))))))
▶	95.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	95.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
▶	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	66.0%	(/.f32 (.f32 (/.f32 #s(literal -1 binary32) alpha) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
▶	98.2%	(/.f32 (.f32 (-.f32 alpha (/.f32 #s(literal 1 binary32) alpha)) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	98.1%	(/.f32 (.f32 (+.f32 alpha (.f32 alpha (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	97.2%	(/.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 (neg.f32 cosTheta) cosTheta))))
▶	98.3%	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	95.1%	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
	98.1%	(/.f32 (.f32 (neg.f32 (fma.f32 alpha (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (neg.f32 alpha))) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	65.9%	(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
✓	64.7%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	66.0%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	96.6%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
	97.2%	(.f32 (.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 alpha alpha)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (neg.f32 (log.f32 alpha))))))
	94.6%	(.f32 alpha (.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha))))))

Compiler

Compiled 1 227 to 650 computations (47% saved)

simplify287.0ms (2.7%)

Memory

8.1MiB live, 379.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 (PI.f32) (log.f32 alpha))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha)))
✓	cost-diff	3712	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
✓	cost-diff	0	(-.f32 alpha (/.f32 #s(literal 1 binary32) alpha))
✓	cost-diff	0	(/.f32 (.f32 (-.f32 alpha (/.f32 #s(literal 1 binary32) alpha)) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
✓	cost-diff	416	(*.f32 (-.f32 alpha (/.f32 #s(literal 1 binary32) alpha)) alpha)
✓	cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
✓	cost-diff	64	(.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
✓	cost-diff	64	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
✓	cost-diff	736	(.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))

Rules

6 748×	`lower-fma.f64`
6 744×	`lower-fma.f32`
4 256×	`lower-*.f64`
4 232×	`lower-*.f32`
2 810×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	361
0	70	390
1	166	387
2	524	379
3	2344	331
4	5393	331
0	8063	323

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (1.3%)

Memory

2.5MiB live, 275.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
✓	accuracy	99.2%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
✓	accuracy	98.9%	(/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha)))
✓	accuracy	98.8%	(*.f32 (PI.f32) (log.f32 alpha))
✓	accuracy	99.1%	(-.f32 alpha (/.f32 #s(literal 1 binary32) alpha))
✓	accuracy	99.1%	(/.f32 (.f32 (-.f32 alpha (/.f32 #s(literal 1 binary32) alpha)) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	98.7%	(*.f32 (-.f32 alpha (/.f32 #s(literal 1 binary32) alpha)) alpha)
✓	accuracy	99.9%	(.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
✓	accuracy	99.9%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	accuracy	99.2%	(/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
✓	accuracy	99.1%	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	98.5%	(.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))

Samples

76.0ms

256×

valid

Compiler

Compiled 378 to 41 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 25.0ms (43.8% of total)

ival-div: 16.0ms (28.1% of total)

ival-add: 6.0ms (10.5% of total)

ival-log: 5.0ms (8.8% of total)

ival-sub: 2.0ms (3.5% of total)

ival-pi: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series24.0ms (0.2%)

Memory

-1.1MiB live, 39.0MiB allocated

Counts

18 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	cosTheta	@	-inf	(/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
1.0ms	cosTheta	@	0	(/ (* (- alpha (/ 1 alpha)) alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta))))
1.0ms	alpha	@	-inf	(/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
1.0ms	cosTheta	@	inf	(/ (* (- alpha (/ 1 alpha)) alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta))))
1.0ms	alpha	@	-inf	(/ (+ (* alpha alpha) -1) (* (PI) (* 2 (log alpha))))

rewrite350.0ms (3.3%)

Memory

12.1MiB live, 527.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 898×	`lower-*.f64`
5 876×	`lower-*.f32`
4 940×	`lower-/.f64`
4 924×	`lower-/.f32`
3 640×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	179
0	70	184
1	308	178
2	2710	160
0	9659	158

Stop Event

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

Counts

18 → 895

Calls

Call 1

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

Outputs
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
(pow.f32 (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha)))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 alpha 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 (neg.f32 alpha) (neg.f32 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 (/.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 alpha (.f32 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) (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha)))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha)))))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) (.f32 alpha (neg.f32 alpha)))))
(/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha))))))
(/.f32 (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 alpha (.f32 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 alpha (.f32 alpha (.f32 alpha alpha)))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha)))
(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)))))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 alpha alpha))))
(/.f32 (.f32 (.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha (.f32 alpha (.f32 alpha alpha)))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha))))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 alpha alpha))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha (.f32 alpha (.f32 alpha alpha))))) (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 alpha (.f32 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 alpha (fma.f32 alpha (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) alpha))
(.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha))
(.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha))))))
(.f32 (fma.f32 alpha (.f32 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)) (+.f32 alpha #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) alpha) alpha)
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(+.f32 (.f32 (PI.f32) (log.f32 alpha)) (.f32 (PI.f32) (log.f32 alpha)))
(fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (PI.f32) (log.f32 alpha)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (PI.f32) (log.f32 alpha)))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (PI.f32) (log.f32 alpha)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (log.f32 alpha)) (.f32 (PI.f32) (log.f32 alpha)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (log.f32 alpha)) (.f32 (PI.f32) (log.f32 alpha)))
(fma.f32 (.f32 (log.f32 alpha) #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) (log.f32 alpha)))
(fma.f32 (.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (.f32 (PI.f32) (log.f32 alpha)))
(fma.f32 (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
(.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 (log.f32 alpha) (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))
(.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (log.f32 alpha) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (neg.f32 (PI.f32)) (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(neg.f32 (/.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal 1 binary32)) (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (neg.f32 (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal 1 binary32))) (neg.f32 (.f32 (neg.f32 (PI.f32)) (.f32 (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))))))
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(/.f32 (.f32 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (fma.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
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(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (log.f32 alpha) #s(literal -1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (log.f32 alpha) #s(literal 1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (log.f32 alpha) (*.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 (log.f32 alpha)) (.f32 (log.f32 alpha) (neg.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32))))) (.f32 (log.f32 alpha) (neg.f32 (log.f32 alpha))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (PI.f32) (.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))) (.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))) (neg.f32 (log.f32 alpha))) (.f32 (log.f32 alpha) (neg.f32 (.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (log.f32 alpha) #s(literal -1/2 binary32))) (.f32 (log.f32 alpha) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (log.f32 alpha) #s(literal -1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (log.f32 alpha) #s(literal 1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (log.f32 alpha) (*.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (log.f32 alpha) (neg.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32))))) (.f32 (log.f32 alpha) (neg.f32 (log.f32 alpha))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (PI.f32) (.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))) (.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) (PI.f32)) (.f32 (PI.f32) (.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32)) (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32)) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))) (.f32 (PI.f32) #s(literal -1 binary32))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (PI.f32) #s(literal -1/2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (PI.f32) #s(literal -1/2 binary32))) (.f32 (PI.f32) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (log.f32 alpha) (.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (PI.f32)))) (.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (neg.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32))))) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (PI.f32) (.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))) (.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha))) (pow.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal -2 binary32)))) (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 (fma.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32))) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))

simplify443.0ms (4.2%)

Memory

4.5MiB live, 384.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 596×	`lower-*.f64`
7 596×	`lower-*.f32`
5 840×	`lower-fma.f64`
5 840×	`lower-fma.f32`
3 076×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	6154
1	1127	5856
2	5200	5834
0	8080	5659

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

simplify175.0ms (1.7%)

Memory

7.0MiB live, 323.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2104	20057
1	2105	20057
0	2105	20057

Stop Event

1×	saturated
1×	saturated

Counts

895 → 0

Calls

Call 1

Inputs
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
(pow.f32 (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha)))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 alpha 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 (neg.f32 alpha) (neg.f32 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 (/.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 alpha (.f32 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) (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha)))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha)))))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) (.f32 alpha (neg.f32 alpha)))))
(/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha))))))
(/.f32 (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 alpha (.f32 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 alpha (.f32 alpha (.f32 alpha alpha)))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha)))
(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)))))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 alpha alpha))))
(/.f32 (.f32 (.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha (.f32 alpha (.f32 alpha alpha)))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha))))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 alpha alpha))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha (.f32 alpha (.f32 alpha alpha))))) (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 alpha (.f32 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 alpha (fma.f32 alpha (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) alpha))
(.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha))
(.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha))))))
(.f32 (fma.f32 alpha (.f32 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)) (+.f32 alpha #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) alpha) alpha)
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
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(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (PI.f32))) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (log.f32 alpha) #s(literal -1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (PI.f32))) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (log.f32 alpha) #s(literal 1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 alpha) (*.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (PI.f32))) (neg.f32 (log.f32 alpha)) (.f32 (log.f32 alpha) (neg.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32))))) (.f32 (log.f32 alpha) (neg.f32 (log.f32 alpha))))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (PI.f32))) (PI.f32) (.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))) (.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) #s(literal 1 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) #s(literal 1 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) #s(literal 1 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) #s(literal -1 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) #s(literal -1/2 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) #s(literal -1/2 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) #s(literal 1/2 binary32))) (pow.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (log.f32 alpha) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (log.f32 alpha)))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (neg.f32 (log.f32 alpha)) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (neg.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32))))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (neg.f32 (log.f32 alpha))))
(/.f32 (fma.f32 (.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1/2 binary32)) (PI.f32) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))) (.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (PI.f32)))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))) (neg.f32 (log.f32 alpha))) (.f32 (log.f32 alpha) (neg.f32 (.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (log.f32 alpha) #s(literal -1/2 binary32))) (.f32 (log.f32 alpha) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (log.f32 alpha) #s(literal -1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (log.f32 alpha) #s(literal 1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (log.f32 alpha) (*.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 (log.f32 alpha)) (.f32 (log.f32 alpha) (neg.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32))))) (.f32 (log.f32 alpha) (neg.f32 (log.f32 alpha))))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/2 binary32)) (PI.f32) (.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))) (.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (.f32 (log.f32 alpha) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))) (neg.f32 (log.f32 alpha))) (.f32 (log.f32 alpha) (neg.f32 (.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (log.f32 alpha) #s(literal -1/2 binary32))) (.f32 (log.f32 alpha) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (log.f32 alpha) #s(literal -1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (log.f32 alpha) #s(literal 1/2 binary32))) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (log.f32 alpha) (*.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32)))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (log.f32 alpha) (neg.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32))))) (.f32 (log.f32 alpha) (neg.f32 (log.f32 alpha))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (PI.f32)) (PI.f32) (.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))) (.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) (PI.f32)) (.f32 (PI.f32) (.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (/.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32)) (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32)) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (/.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32))) (.f32 (PI.f32) #s(literal -1 binary32))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (PI.f32) #s(literal -1/2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (PI.f32) #s(literal -1/2 binary32))) (.f32 (PI.f32) (neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (log.f32 alpha) (.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (PI.f32)))) (.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (neg.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32))))) (neg.f32 (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (log.f32 alpha)) (PI.f32) (.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))) (.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha))) (pow.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal -2 binary32)))) (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 (fma.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal -2 binary32)) #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32))) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))

Outputs
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
(pow.f32 (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha)))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 alpha 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 (neg.f32 alpha) (neg.f32 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 (/.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 alpha (.f32 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) (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha)))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha)))))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) (.f32 alpha (neg.f32 alpha)))))
(/.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha (.f32 alpha (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha))))))
(/.f32 (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 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 alpha (.f32 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 alpha (.f32 alpha (.f32 alpha alpha)))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha)))
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eval41.0ms (0.4%)

Memory: 20.8MiB live, 98.4MiB allocated
Compiler: Compiled 19 086 to 350 computations (98.2% saved)

prune38.0ms (0.4%)

Memory

5.7MiB live, 81.0MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	637	7	644
Fresh	2	12	14
Picked	1	4	5
Done	0	3	3
Total	640	26	666

Accuracy

99.7%

Counts

666 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 cosTheta cosTheta) (.f32 (/.f32 #s(literal -1 binary32) (log.f32 (.f32 alpha alpha))) (-.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (PI.f32)) (.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))) (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 alpha (.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))))
	96.6%	(fma.f32 (.f32 alpha alpha) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 (.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))
	97.1%	(fma.f32 alpha (/.f32 (+.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha (/.f32 #s(literal -1 binary32) alpha)))) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 (+.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))))
✓	95.2%	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
	95.3%	(/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))
	97.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
✓	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	42.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (PI.f32) (.f32 cosTheta cosTheta))))))
✓	95.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	95.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
	42.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 (PI.f32) (log.f32 alpha)) (/.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal -2 binary32))))))
	66.0%	(/.f32 (.f32 (/.f32 #s(literal -1 binary32) alpha) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	98.2%	(/.f32 (.f32 (-.f32 alpha (/.f32 #s(literal 1 binary32) alpha)) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	98.1%	(/.f32 (.f32 (+.f32 alpha (.f32 alpha (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
✓	98.3%	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	95.1%	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)))) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
	98.1%	(/.f32 (.f32 (neg.f32 (fma.f32 alpha (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (neg.f32 alpha))) alpha) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	95.1%	(/.f32 (.f32 alpha (+.f32 alpha (/.f32 #s(literal -1 binary32) alpha))) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
	95.0%	(/.f32 (.f32 alpha (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))))) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
	65.9%	(/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
✓	64.7%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	66.0%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))))
	96.6%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
	97.2%	(.f32 (.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 alpha alpha)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (neg.f32 (log.f32 alpha))))))
	95.0%	(.f32 (.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))))
	94.6%	(.f32 alpha (.f32 alpha (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha))))))

Compiler

Compiled 1 937 to 581 computations (70% saved)

regimes54.0ms (0.5%)

Memory

-18.5MiB live, 100.9MiB allocated

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

14.0ms	cosTheta
14.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
11.0ms	(*.f32 alpha alpha)
11.0ms	alpha

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)

regimes25.0ms (0.2%)

Memory

-1.4MiB live, 35.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

Calls

4 calls:

10.0ms	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	(*.f32 alpha alpha)
5.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.6%	1	`cosTheta`
97.6%	1	`alpha`
97.6%	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))))`
97.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes27.0ms (0.3%)

Memory

-16.1MiB live, 27.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	cosTheta
4.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
3.0ms	alpha
3.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
97.6%	1	`cosTheta`
97.6%	1	`alpha`
97.6%	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))))`
97.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes12.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.6%	1	`cosTheta`
96.6%	1	`alpha`
96.6%	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))))`
96.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes15.0ms (0.1%)

Memory

-17.1MiB live, 20.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	alpha
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	cosTheta
2.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
95.3%	1	`cosTheta`
95.3%	1	`alpha`
95.3%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(/.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))))

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

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
95.3%	1	`cosTheta`
95.3%	1	`alpha`
95.3%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.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:

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

Results

Accuracy	Segments	Branch
64.7%	1	`cosTheta`
64.7%	1	`alpha`
64.7%	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))))`
64.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

simplify12.0ms (0.1%)

Memory

-24.4MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary32`
12×	`+-commutative_binary32`
10×	`sub-neg_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	101
1	57	101
2	64	101
3	72	101
4	73	101

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness504.0ms (4.8%)

Memory

11.7MiB live, 443.7MiB allocated

Rules

8 090×	`lower-fma.f64`
8 090×	`lower-fma.f32`
7 080×	`lower-fma.f64`
7 080×	`lower-fma.f32`
6 584×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	6848
1	1241	6533
2	5128	6505
0	8084	6324
0	358	4194
1	1108	4044
2	4101	4034
0	8798	3887
0	185	1959
1	552	1906
2	2134	1849
0	8489	1768

Stop Event

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

Compiler

Compiled 316 to 172 computations (45.6% saved)

preprocess41.0ms (0.4%)

Memory

25.7MiB live, 102.2MiB allocated

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 642 to 312 computations (51.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze84.0ms (0.8%)

sample1.8s (17.4%)

preprocess541.0ms (5.1%)

explain231.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify379.0ms (3.6%)

localize42.0ms (0.4%)

series47.0ms (0.4%)

rewrite341.0ms (3.2%)

simplify482.0ms (4.6%)

simplify108.0ms (1%)

eval15.0ms (0.1%)

prune12.0ms (0.1%)

simplify703.0ms (6.7%)

localize293.0ms (2.8%)

series68.0ms (0.6%)

rewrite541.0ms (5.1%)

simplify414.0ms (3.9%)

simplify286.0ms (2.7%)

eval67.0ms (0.6%)

prune38.0ms (0.4%)

simplify431.0ms (4.1%)

localize329.0ms (3.1%)

series142.0ms (1.3%)

rewrite336.0ms (3.2%)

simplify294.0ms (2.8%)

simplify126.0ms (1.2%)

eval100.0ms (1%)

prune40.0ms (0.4%)

simplify287.0ms (2.7%)

localize141.0ms (1.3%)

series24.0ms (0.2%)

rewrite350.0ms (3.3%)

simplify443.0ms (4.2%)

simplify175.0ms (1.7%)

eval41.0ms (0.4%)

prune38.0ms (0.4%)

regimes54.0ms (0.5%)

regimes25.0ms (0.2%)

regimes27.0ms (0.3%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify12.0ms (0.1%)

soundness504.0ms (4.8%)

preprocess41.0ms (0.4%)

end0.0ms (0%)

Profiling