Metrics for GTR1 distribution

analyze34.0ms (0.3%)

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
50%	0.3%	0.3%	99.4%	0%	0%	0%	3
50%	0.3%	0.3%	99.4%	0%	0%	0%	4
75%	0.5%	0.2%	99.4%	0%	0%	0%	5
75%	0.5%	0.2%	99.4%	0%	0%	0%	6
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	7
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	8
93.8%	0.6%	0%	99.4%	0%	0%	0%	9
93.8%	0.6%	0%	99.4%	0%	0%	0%	10
96.9%	0.6%	0%	99.4%	0%	0%	0%	11
96.9%	0.6%	0%	99.4%	0%	0%	0%	12

Compiler

Compiled 41 to 22 computations (46.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (39.2% of total)

ival-<=: 4.0ms (19.6% of total)

ival-log: 3.0ms (14.7% of total)

ival-pi: 1.0ms (4.9% of total)

ival-div: 1.0ms (4.9% of total)

ival-add: 1.0ms (4.9% of total)

ival-sub: 1.0ms (4.9% of total)

ival-and: 1.0ms (4.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.7s (14.8%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 405.0ms (39.4% of total)

ival-log: 197.0ms (19.1% of total)

ival-<=: 173.0ms (16.8% of total)

ival-div: 75.0ms (7.3% of total)

ival-add: 48.0ms (4.7% of total)

ival-sub: 46.0ms (4.5% of total)

ival-pi: 39.0ms (3.8% of total)

ival-and: 27.0ms (2.6% of total)

const: 16.0ms (1.6% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1368×	`fma-define`
1072×	`distribute-lft-neg-in`
946×	`distribute-rgt-neg-in`
922×	`times-frac`
736×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	647
1	179	603
2	680	603
3	3727	603

Stop Event

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

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

Symmetry

(abs cosTheta)

(abs alpha)

explain170.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

106.0ms

512×

valid

Compiler

Compiled 214 to 41 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 17.0ms (41.3% of total)

ival-log: 7.0ms (17% of total)

ival-add: 7.0ms (17% of total)

ival-div: 4.0ms (9.7% of total)

ival-sub: 3.0ms (7.3% of total)

ival-pi: 2.0ms (4.9% of total)

const: 1.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 66 to 22 computations (66.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶	98.3%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	98.5%	(/.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

▶

98.3%

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

▶

98.3%

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

▶

98.5%

(/.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 73 to 40 computations (45.2% saved)

localize328.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(log.f32 (*.f32 alpha alpha))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
✓	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 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	cost-diff	0	(log.f32 (*.f32 alpha alpha))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	accuracy	99.6%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.5%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	99.9%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	accuracy	99.6%	(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	98.7%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.6%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.5%	(.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	98.7%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Rules

1204×	`distribute-neg-in`
1052×	`distribute-rgt-neg-in`
1004×	`distribute-lft-neg-in`
826×	`associate-r`
708×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	942
1	83	942
2	221	942
3	865	942
4	3494	942
5	5124	942

Stop Event

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

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

Results

80.0ms

256×

valid

Compiler

Compiled 254 to 26 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 20.0ms (45.3% of total)

ival-div: 9.0ms (20.4% of total)

ival-fma: 5.0ms (11.3% of total)

ival-log: 4.0ms (9.1% of total)

ival-add: 3.0ms (6.8% of total)

ival-pi: 1.0ms (2.3% of total)

ival-sub: 1.0ms (2.3% of total)

const: 1.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

series95.0ms (0.8%)

Counts

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

Outputs
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
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#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (+.f32 (.f32 #s(literal -1 binary32) cosTheta) (.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) cosTheta) (.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) cosTheta) (.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta)>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta)>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 cosTheta (.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt #s(literal -1 binary32)>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>

Calls

51 calls:

Time	Variable		Point	Expression
28.0ms	alpha	@	0	(* (PI) (log (* alpha alpha)))
13.0ms	cosTheta	@	0	(* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))
6.0ms	alpha	@	inf	(* (PI) (log (* alpha alpha)))
6.0ms	alpha	@	-inf	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms	alpha	@	inf	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite377.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1183×	`log1p-expm1-u`
356×	`associate-r`
294×	`times-frac`
282×	`associate-l`
173×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	450
1	539	450
2	5988	450

Stop Event

1×	node limit

Counts

12 → 480

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)
(log.f32 (*.f32 alpha alpha))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 alpha alpha)
(PI.f32)
(fma.f32 alpha 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 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
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(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(+.f32 (.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))) (.f32 cosTheta #s(literal -1 binary32)))
(+.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) (.f32 #s(literal -1 binary32) cosTheta))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 cosTheta (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 cosTheta (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) cosTheta) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))
(pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32)))
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32))) (cbrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (sqrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha))))
(sqrt.f32 (pow.f32 alpha #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 alpha #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #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 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(log1p.f32 (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))

simplify267.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1638×	`times-frac`
874×	`*-commutative`
698×	`associate-*r/`
592×	`associate-*l/`
546×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	839	24149
1	2170	24149

Stop Event

1×	node limit

Counts

684 → 349

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
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(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32)))
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32))) (cbrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (sqrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha))))
(sqrt.f32 (pow.f32 alpha #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 alpha #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #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 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(log1p.f32 (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))

Outputs
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
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(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(pow.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(sqrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(log1p.f32 (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(exp.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))

eval62.0ms (0.6%)

Compiler: Compiled 18188 to 2145 computations (88.2% saved)

prune112.0ms (1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	610	22	632
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	612	23	635

Accuracy

100.0%

Counts

635 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
	97.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
	98.3%	(/.f32 (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	97.1%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	70.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (sqrt.f32 (pow.f32 alpha #s(literal 4 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.3%	(/.f32 (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.3%	(/.f32 (.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	97.8%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	68.9%	(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))

Compiler

Compiled 1130 to 695 computations (38.5% saved)

localize316.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(cbrt.f32 (PI.f32))
✓	cost-diff	3264	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha)))
✓	cost-diff	6432	(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	0	(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
✓	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	-3136	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	cost-diff	0	(neg.f32 cosTheta)
✓	cost-diff	0	(*.f32 (neg.f32 cosTheta) cosTheta)
	cost-diff	0	(PI.f32)
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(pow.f32 alpha #s(literal 2 binary32))
✓	cost-diff	0	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
✓	cost-diff	0	(log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))
	accuracy	99.5%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	98.7%	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha)))
✓	accuracy	96.9%	(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
✓	accuracy	99.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	accuracy	98.9%	(.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	accuracy	99.5%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	accuracy	98.8%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	98.5%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
✓	accuracy	99.7%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
	accuracy	99.6%	(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	98.7%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	accuracy	99.5%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	90.2%	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))

Rules

1706×	`div-sub`
1112×	`associate-/l*`
1058×	`associate-*r/`
912×	`fma-define`
794×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	1604
1	171	1552
2	596	1552
3	2946	1552
4	6378	1552

Stop Event

1×	node limit

Calls

Call 1

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

Results

150.0ms

256×

valid

Compiler

Compiled 470 to 48 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 31.0ms (34.3% of total)

ival-pow: 15.0ms (16.6% of total)

ival-div: 11.0ms (12.2% of total)

ival-fma: 10.0ms (11.1% of total)

ival-log: 10.0ms (11.1% of total)

ival-add: 7.0ms (7.8% of total)

ival-cbrt: 2.0ms (2.2% of total)

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

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

const: 1.0ms (1.1% of total)

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

backward-pass: 0.0ms (0% of total)

series164.0ms (1.5%)

Counts

23 → 336

Calls

Call 1

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

Outputs
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
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#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) alpha)>
#<alt (+.f32 #s(literal 1 binary32) alpha)>
#<alt (+.f32 #s(literal 1 binary32) alpha)>
#<alt alpha>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt alpha>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt #s(literal -1 binary32)>
#<alt (-.f32 alpha #s(literal 1 binary32))>
#<alt (-.f32 alpha #s(literal 1 binary32))>
#<alt (-.f32 alpha #s(literal 1 binary32))>
#<alt alpha>
#<alt (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt alpha>
#<alt (.f32 #s(literal -1 binary32) (.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>

Calls

87 calls:

Time	Variable		Point	Expression
40.0ms	alpha	@	0	(log (pow (pow alpha 2) (PI)))
17.0ms	alpha	@	inf	(log (pow (pow alpha 2) (PI)))
15.0ms	alpha	@	-inf	(* (PI) (* 2 (log alpha)))
8.0ms	alpha	@	inf	(* (PI) (* 2 (log alpha)))
7.0ms	alpha	@	0	(* (PI) (* 2 (log alpha)))

rewrite174.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

339×	`log1p-expm1-u`
339×	`expm1-log1p-u`
333×	`add-exp-log`
331×	`add-cube-cbrt`
330×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	732
1	1025	709

Stop Event

1×	node limit

Counts

23 → 490

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (cbrt.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (pow.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (pow.f32 (sqrt.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (sqrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(.f32 (pow.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (PI.f32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
(sqrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))
(log.f32 (exp.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(cbrt.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log1p.f32 (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(exp.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))))
(.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))))
(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))) #s(literal 3 binary32)))
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(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))))
(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))) (log.f32 (cbrt.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) (log.f32 (sqrt.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))) #s(literal 1 binary32))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
(.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(.f32 (sqrt.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) (sqrt.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(log1p.f32 (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 alpha #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 alpha alpha)
(*.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 alpha #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 alpha #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(-.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 cosTheta #s(literal 2 binary32))
(pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 cosTheta #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 cosTheta)) #s(literal 1 binary32)))
(-.f32 #s(literal 0 binary32) cosTheta)
(-.f32 (exp.f32 (log1p.f32 cosTheta)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) cosTheta)
(*.f32 #s(literal -1 binary32) cosTheta)
(*.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (cbrt.f32 cosTheta))
(*.f32 (sqrt.f32 cosTheta) (sqrt.f32 cosTheta))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 cosTheta #s(literal 4 binary32)))) (sqrt.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))
(pow.f32 cosTheta #s(literal 1 binary32))
(pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 cosTheta) #s(literal 3 binary32))
(pow.f32 (pow.f32 cosTheta #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 cosTheta) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(fabs.f32 cosTheta)
(log.f32 (exp.f32 cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 cosTheta)))
(cbrt.f32 (pow.f32 cosTheta #s(literal 3 binary32)))
cosTheta
(expm1.f32 (log1p.f32 cosTheta))
(log1p.f32 (expm1.f32 cosTheta))
(exp.f32 (log.f32 cosTheta))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 1 binary32)))
(-.f32 alpha #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))))
(*.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 alpha)) (hypot.f32 #s(literal 1 binary32) (sqrt.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 alpha)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 alpha #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal 1 binary32))))
(exp.f32 (log1p.f32 alpha))
(exp.f32 (*.f32 (log1p.f32 alpha) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal 1 binary32))
(-.f32 alpha #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 alpha))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal -1 binary32))
(-.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (PI.f32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)))
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32))
(sqrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))
(log.f32 (exp.f32 (cbrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cbrt.f32 (PI.f32)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (PI.f32))))
(log1p.f32 (expm1.f32 (cbrt.f32 (PI.f32))))
(exp.f32 (log.f32 (cbrt.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 1 binary32)))

simplify444.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1346×	`associate-/l*`
836×	`fma-define`
640×	`distribute-lft-in`
614×	`associate-*r/`
604×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1176	58714
1	3259	49765

Stop Event

1×	node limit

Counts

826 → 681

Calls

Call 1

Inputs
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
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(sqrt.f32 (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(log1p.f32 (-.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 alpha #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 alpha alpha)
(*.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 alpha #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 alpha #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(-.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 cosTheta #s(literal 2 binary32))
(pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 cosTheta #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 cosTheta)) #s(literal 1 binary32)))
(-.f32 #s(literal 0 binary32) cosTheta)
(-.f32 (exp.f32 (log1p.f32 cosTheta)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) cosTheta)
(*.f32 #s(literal -1 binary32) cosTheta)
(*.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (cbrt.f32 cosTheta))
(*.f32 (sqrt.f32 cosTheta) (sqrt.f32 cosTheta))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 cosTheta #s(literal 4 binary32)))) (sqrt.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))
(pow.f32 cosTheta #s(literal 1 binary32))
(pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 cosTheta) #s(literal 3 binary32))
(pow.f32 (pow.f32 cosTheta #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 cosTheta) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(fabs.f32 cosTheta)
(log.f32 (exp.f32 cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 cosTheta)))
(cbrt.f32 (pow.f32 cosTheta #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 cosTheta))
(log1p.f32 (expm1.f32 cosTheta))
(exp.f32 (log.f32 cosTheta))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 1 binary32)))
(-.f32 alpha #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))))
(*.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 alpha)) (hypot.f32 #s(literal 1 binary32) (sqrt.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 alpha)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 alpha #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal 1 binary32))))
(exp.f32 (log1p.f32 alpha))
(exp.f32 (*.f32 (log1p.f32 alpha) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal 1 binary32))
(-.f32 alpha #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 alpha))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal -1 binary32))
(-.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (PI.f32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)))
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32))
(sqrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))
(log.f32 (exp.f32 (cbrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cbrt.f32 (PI.f32)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (PI.f32))))
(log1p.f32 (expm1.f32 (cbrt.f32 (PI.f32))))
(exp.f32 (log.f32 (cbrt.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 1 binary32)))

Outputs
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (.f32 (log.f32 alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
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(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (PI.f32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (cbrt.f32 (PI.f32))))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))
(cbrt.f32 (PI.f32))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(cbrt.f32 (PI.f32))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (PI.f32)))
(cbrt.f32 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(cbrt.f32 (PI.f32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32))
(cbrt.f32 (PI.f32))
(pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32))
(cbrt.f32 (PI.f32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32))
(cbrt.f32 (PI.f32))
(sqrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))
(log.f32 (exp.f32 (cbrt.f32 (PI.f32))))
(cbrt.f32 (PI.f32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cbrt.f32 (PI.f32)))))
(cbrt.f32 (PI.f32))
(expm1.f32 (log1p.f32 (cbrt.f32 (PI.f32))))
(log1p.f32 (expm1.f32 (cbrt.f32 (PI.f32))))
(cbrt.f32 (PI.f32))
(exp.f32 (log.f32 (cbrt.f32 (PI.f32))))
(cbrt.f32 (PI.f32))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/3 binary32)))
(cbrt.f32 (PI.f32))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 1 binary32)))
(cbrt.f32 (PI.f32))

eval309.0ms (2.7%)

Compiler: Compiled 42031 to 4737 computations (88.7% saved)

prune211.0ms (1.9%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1236	22	1258
Fresh	15	2	17
Picked	4	1	5
Done	0	1	1
Total	1255	26	1281

Accuracy

100.0%

Counts

1281 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
	98.0%	(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.1%	(/.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))))
▶	96.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	69.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.6%	(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	97.4%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶	97.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	96.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
	97.8%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	97.8%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	98.0%	(/.f32 (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	68.9%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
▶	69.0%	(/.f32 #s(literal -1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
▶	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))

Compiler

Compiled 1199 to 776 computations (35.3% saved)

localize414.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(PI.f32)
	cost-diff	0	(pow.f32 alpha #s(literal 2 binary32))
	cost-diff	0	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
	cost-diff	0	(log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))
	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	32	(log.f32 (/.f32 #s(literal 1 binary32) alpha))
✓	cost-diff	64	(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
	cost-diff	0	(PI.f32)
✓	cost-diff	32	(log.f32 (/.f32 #s(literal 1 binary32) alpha))
✓	cost-diff	64	(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
✓	cost-diff	64	(.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
✓	cost-diff	0	(*.f32 (PI.f32) (log.f32 alpha))
	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
	cost-diff	-3136	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
	cost-diff	-3136	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	cost-diff	-3136	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
	cost-diff	0	(PI.f32)
	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	accuracy	99.5%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.2%	(/.f32 #s(literal -1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	accuracy	90.2%	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
✓	accuracy	99.4%	(log.f32 (/.f32 #s(literal 1 binary32) alpha))
✓	accuracy	99.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	98.5%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
	accuracy	99.7%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	accuracy	99.4%	(log.f32 (/.f32 #s(literal 1 binary32) alpha))
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	accuracy	100.0%	(PI.f32)
✓	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
✓	accuracy	98.9%	(.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
✓	accuracy	98.7%	(*.f32 (PI.f32) (log.f32 alpha))
	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	accuracy	99.5%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	90.2%	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Rules

924×	`unsub-neg`
864×	`fma-define`
822×	`fma-neg`
766×	`associate-/l*`
648×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1543
1	160	1461
2	563	1429
3	2815	1426
4	7285	1426

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

150.0ms

256×

valid

Compiler

Compiled 444 to 47 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 29.0ms (32.8% of total)

ival-pow: 17.0ms (19.2% of total)

ival-log: 13.0ms (14.7% of total)

ival-div: 12.0ms (13.6% of total)

ival-add: 10.0ms (11.3% of total)

ival-fma: 3.0ms (3.4% of total)

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

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

const: 1.0ms (1.1% of total)

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

backward-pass: 0.0ms (0% of total)

series75.0ms (0.7%)

Counts

13 → 204

Calls

Call 1

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

Outputs
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))>
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#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))>
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#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))>
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#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
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#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32)))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 4 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))) (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))>
#<alt (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (/.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>

Calls

54 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	-inf	(* (PI) (* -2 (log (/ 1 alpha))))
5.0ms	cosTheta	@	0	(* (PI) (* (* -2 (log (/ 1 alpha))) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))
4.0ms	alpha	@	-inf	(/ (* (+ alpha 1) (+ alpha -1)) (* (PI) (* (* -2 (log (/ 1 alpha))) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta))))))
3.0ms	alpha	@	0	(/ -1 (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
3.0ms	cosTheta	@	inf	(/ (- (* alpha alpha) 1) (* (* (PI) (* -2 (log (/ 1 alpha)))) (+ 1 (* (neg cosTheta) cosTheta))))

rewrite124.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

369×	`log1p-expm1-u`
369×	`expm1-log1p-u`
363×	`add-exp-log`
359×	`add-log-exp`
358×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	594
1	930	532

Stop Event

1×	node limit

Counts

13 → 227

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (cbrt.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(.f32 (pow.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (pow.f32 (sqrt.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (sqrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (pow.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (PI.f32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
(log.f32 (exp.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(cbrt.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log1p.f32 (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 2 binary32))
(log.f32 (pow.f32 alpha (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (log.f32 alpha))))
(log1p.f32 (-.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (log.f32 alpha))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32)) (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
(.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(cbrt.f32 (pow.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(exp.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(exp.f32 (.f32 (log.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (PI.f32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha)))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha)))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32)))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))
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(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(log1p.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(exp.f32 (.f32 (log.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32)))

simplify372.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1780×	`associate-/r*`
1362×	`times-frac`
790×	`fma-define`
550×	`distribute-lft-in`
542×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	976	36758
1	2700	32457

Stop Event

1×	node limit

Counts

431 → 571

Calls

Call 1

Inputs
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
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(exp.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(log1p.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(exp.f32 (.f32 (log.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32)))

Outputs
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))) (neg.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (.f32 (log.f32 alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
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(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(exp.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 3 binary32))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32)))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(pow.f32 (cbrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 3 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(pow.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(pow.f32 (sqrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32))))
(log1p.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal -1 binary32)))
(log.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 0 binary32)))
(cbrt.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(log1p.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)))
(log1p.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal -1 binary32)))
(log.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 0 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(exp.f32 (.f32 (log.f32 (.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))

eval124.0ms (1.1%)

Compiler: Compiled 36564 to 4223 computations (88.5% saved)

prune197.0ms (1.8%)

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1160	21	1181
Fresh	7	12	19
Picked	4	1	5
Done	0	2	2
Total	1171	36	1207

Accuracy

100.0%

Counts

1207 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
	98.0%	(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	96.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
▶	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	96.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
	97.8%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	68.9%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	68.9%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	68.2%	(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
▶	68.1%	(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.6%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.3%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
▶	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
✓	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
	43.4%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log1p.f32 (-.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32))))))
	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
	95.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
	95.3%	(.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
	48.4%	(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.0%	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))

Compiler

Compiled 1391 to 977 computations (29.8% saved)

localize299.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	32	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
✓	cost-diff	32	(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))
	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	32	(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta)))
✓	cost-diff	32	(.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))
✓	cost-diff	32	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta)))))
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (PI.f32))
	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	64	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))
	cost-diff	0	(PI.f32)
	cost-diff	0	(*.f32 (PI.f32) (log.f32 alpha))
✓	cost-diff	0	(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
✓	cost-diff	64	(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
✓	cost-diff	0	(*.f32 #s(literal 2 binary32) (PI.f32))
✓	cost-diff	0	(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
✓	cost-diff	0	(log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
	cost-diff	0	(*.f32 alpha alpha)
✓	accuracy	99.9%	(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
	accuracy	99.7%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	accuracy	90.2%	(pow.f32 (*.f32 alpha alpha) (PI.f32))
	accuracy	99.6%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta)))))
	accuracy	98.5%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
	accuracy	100.0%	(PI.f32)
✓	accuracy	99.0%	(/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))
✓	accuracy	98.9%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
✓	accuracy	98.4%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))
✓	accuracy	100.0%	(log.f32 alpha)
	accuracy	100.0%	(PI.f32)
✓	accuracy	99.2%	(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	accuracy	98.7%	(*.f32 (PI.f32) (log.f32 alpha))
	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	accuracy	99.5%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	90.2%	(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))

Rules

1326×	`distribute-lft-in`
1272×	`distribute-rgt-in`
1044×	`times-frac`
956×	`associate-+l+`
670×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	1199
1	139	1129
2	454	1111
3	1702	1111
4	5989	1111

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

157.0ms

256×

valid

Compiler

Compiled 334 to 43 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 29.0ms (33.2% of total)

ival-div: 17.0ms (19.5% of total)

ival-log: 16.0ms (18.3% of total)

ival-pow: 14.0ms (16% of total)

ival-add: 7.0ms (8% of total)

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

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

const: 1.0ms (1.1% of total)

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

backward-pass: 0.0ms (0% of total)

series128.0ms (1.1%)

Counts

19 → 268

Calls

Call 1

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

Outputs
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (pow.f32 alpha #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))>
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#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))))>
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#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 alpha))))>
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#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (*.f32 #s(literal -1 binary32) (log.f32 alpha))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (log.f32 alpha)) (.f32 #s(literal -1 binary32) (*.f32 alpha (log.f32 alpha))))>
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#<alt (+.f32 (.f32 #s(literal -1 binary32) (log.f32 alpha)) (.f32 alpha (-.f32 (.f32 alpha (-.f32 (.f32 #s(literal -1 binary32) (*.f32 alpha (log.f32 alpha))) (log.f32 alpha))) (log.f32 alpha))))>
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#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
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#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))>
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#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
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#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
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#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
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#<alt (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (+.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))>
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#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (log.f32 (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (+.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (+.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (+.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))>
#<alt (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))>
#<alt (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))>
#<alt (+.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))>

Calls

69 calls:

Time	Variable		Point	Expression
35.0ms	cosTheta	@	-inf	(/ (* (+ alpha 1) (+ alpha -1)) (* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (neg cosTheta))))))
17.0ms	alpha	@	-inf	(log (pow alpha (* 2 (PI))))
8.0ms	alpha	@	inf	(log (pow alpha (* 2 (PI))))
6.0ms	alpha	@	0	(log (pow alpha (* 2 (PI))))
5.0ms	cosTheta	@	0	(* (log (pow (* alpha alpha) (PI))) (+ 1 (* (neg cosTheta) cosTheta)))

rewrite214.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

368×	`log1p-expm1-u`
368×	`expm1-log1p-u`
364×	`add-exp-log`
362×	`add-cube-cbrt`
360×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	678
1	922	623

Stop Event

1×	node limit

Counts

19 → 374

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (cbrt.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(.f32 (pow.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (pow.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (pow.f32 (sqrt.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (sqrt.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (PI.f32)) (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
(log.f32 (exp.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(cbrt.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(log1p.f32 (expm1.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(exp.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))))
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(fma.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))
(fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))

simplify478.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-r`
1016×	`associate-l`
752×	`times-frac`
646×	`fma-define`
512×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	963	38227
1	2427	32830

Stop Event

1×	node limit

Counts

642 → 620

Calls

Call 1

Inputs
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (pow.f32 alpha #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))
(-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))))
(-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
(+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))))
(/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
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(fma.f32 (cbrt.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))))) #s(literal 1 binary32))
(pow.f32 (.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (log.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))) (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(exp.f32 (.f32 (+.f32 (log.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))))
(fma.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(fma.f32 (cbrt.f32 (pow.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) (.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))))
(fma.f32 (sqrt.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) (sqrt.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))) (.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(pow.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))
(exp.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))
(fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))

Outputs
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
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(.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))
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(expm1.f32 (log1p.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
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(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
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(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(pow.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
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(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(exp.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(fma.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(fma.f32 (cbrt.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))

eval581.0ms (5.2%)

Compiler: Compiled 30785 to 4412 computations (85.7% saved)

prune614.0ms (5.5%)

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	1159	22	1181
Fresh	8	20	28
Picked	2	3	5
Done	0	3	3
Total	1169	48	1217

Accuracy

100.0%

Counts

1217 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	96.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
✓	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.2%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
✓	96.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
	95.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(literal 1 binary32))))
	97.8%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	68.1%	(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	68.1%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	68.9%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	68.9%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	68.9%	(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta))))))
	95.2%	(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
	95.4%	(*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)))
	68.2%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
	95.0%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
	64.3%	(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
	95.3%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))
	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))))
	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 alpha #s(literal 1 binary32))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.3%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
	88.6%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal -1 binary32))))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))))
	68.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))))
	47.8%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
✓	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
	95.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))))
	95.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
	94.7%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (exp.f32 (neg.f32 (log.f32 (*.f32 (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))) (PI.f32)))))))
	95.1%	(.f32 #s(literal 1/2 binary32) (.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
	95.3%	(.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
	48.4%	(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
	95.0%	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))

Compiler

Compiled 2624 to 992 computations (62.2% saved)

regimes114.0ms (1%)

Counts

90 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 alpha #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.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 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal 1/2 binary32) (.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.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 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) 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 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log1p.f32 (-.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.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) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.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 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.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 #s(literal 1 binary32)) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (exp.f32 (neg.f32 (log.f32 (*.f32 (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))) (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 #s(literal -1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (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 (PI.f32) (.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 #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (sqrt.f32 (pow.f32 alpha #s(literal 4 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (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 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal 2 binary32) (log.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 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))

Outputs

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

Calls

4 calls:

28.0ms	alpha
26.0ms	cosTheta
26.0ms	(*.f32 alpha alpha)
25.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta`
98.7%	1	`alpha`
98.7%	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))))`
98.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes112.0ms (1%)

Counts

59 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 alpha #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.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 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal 1/2 binary32) (.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.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 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) 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 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log1p.f32 (-.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Outputs

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

Calls

4 calls:

50.0ms	(*.f32 alpha alpha)
20.0ms	alpha
18.0ms	cosTheta
17.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes182.0ms (1.6%)

Counts

58 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 alpha #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.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 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal 1/2 binary32) (.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.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 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) 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 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log1p.f32 (-.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 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))))

Calls

4 calls:

87.0ms	cosTheta
49.0ms	alpha
24.0ms	(*.f32 alpha alpha)
16.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
98.5%	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)

regimes51.0ms (0.5%)

Counts

41 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 alpha #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.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 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal 1/2 binary32) (.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 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 (neg.f32 cosTheta) cosTheta))))

Calls

3 calls:

22.0ms	cosTheta
14.0ms	(*.f32 alpha alpha)
12.0ms	alpha

Results

Accuracy	Segments	Branch
97.2%	1	`cosTheta`
97.2%	1	`alpha`
97.2%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes31.0ms (0.3%)

Counts

31 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 alpha #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))

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

Calls

3 calls:

10.0ms	alpha
9.0ms	(*.f32 alpha alpha)
9.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.4%	1	`cosTheta`
95.4%	1	`alpha`
95.4%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes31.0ms (0.3%)

Counts

30 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 alpha #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))

Outputs

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

Calls

3 calls:

10.0ms	(*.f32 alpha alpha)
9.0ms	cosTheta
9.0ms	alpha

Results

Accuracy	Segments	Branch
95.3%	1	`cosTheta`
95.3%	1	`alpha`
95.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes55.0ms (0.5%)

Counts

23 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 alpha #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))))

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

Calls

3 calls:

40.0ms	cosTheta
7.0ms	(*.f32 alpha alpha)
7.0ms	alpha

Results

Accuracy	Segments	Branch
95.3%	1	`cosTheta`
95.3%	1	`alpha`
95.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))

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

Calls

2 calls:

4.0ms	alpha
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.3%	1	`cosTheta`
95.3%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))

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

Calls

2 calls:

4.0ms	cosTheta
3.0ms	alpha

Results

Accuracy	Segments	Branch
95.2%	1	`cosTheta`
95.2%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))

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

Calls

2 calls:

3.0ms	cosTheta
3.0ms	alpha

Results

Accuracy	Segments	Branch
68.2%	1	`cosTheta`
68.2%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	alpha
2.0ms	cosTheta

Results

Accuracy	Segments	Branch
68.1%	1	`alpha`
68.1%	1	`cosTheta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	cosTheta
1.0ms	alpha

Results

Accuracy	Segments	Branch
68.1%	1	`cosTheta`
68.1%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative`
32×	`+-commutative`
20×	`sub-neg`
20×	`neg-sub0`
20×	`neg-mul-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	743
1	111	739
2	129	735
3	152	735
4	162	735
5	168	735
6	170	735

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.1s (18.9%)

Rules

1780×	`associate-/r*`
1638×	`times-frac`
1368×	`fma-define`
1362×	`times-frac`
1346×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	594
1	930	532
0	839	24149
1	2170	24149
0	46	647
1	179	603
2	680	603
3	3727	603
0	47	678
1	922	623
0	976	36758
1	2700	32457
0	963	38227
1	2427	32830
0	32	450
1	539	450
2	5988	450
0	54	732
1	1025	709
0	1176	58714
1	3259	49765

Stop Event

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

Compiler

Compiled 1517 to 470 computations (69% saved)

preprocess69.0ms (0.6%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1684 to 818 computations (51.4% saved)

analyze34.0ms (0.3%)

sample1.7s (14.8%)

preprocess80.0ms (0.7%)

explain170.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize328.0ms (2.9%)

series95.0ms (0.8%)

rewrite377.0ms (3.3%)

simplify267.0ms (2.4%)

eval62.0ms (0.6%)

prune112.0ms (1%)

localize316.0ms (2.8%)

series164.0ms (1.5%)

rewrite174.0ms (1.5%)

simplify444.0ms (3.9%)

eval309.0ms (2.7%)

prune211.0ms (1.9%)

localize414.0ms (3.7%)

series75.0ms (0.7%)

rewrite124.0ms (1.1%)

simplify372.0ms (3.3%)

eval124.0ms (1.1%)

prune197.0ms (1.8%)

localize299.0ms (2.7%)

series128.0ms (1.1%)

rewrite214.0ms (1.9%)

simplify478.0ms (4.3%)

eval581.0ms (5.2%)

prune614.0ms (5.5%)

regimes114.0ms (1%)

regimes112.0ms (1%)

regimes182.0ms (1.6%)

regimes51.0ms (0.5%)

regimes31.0ms (0.3%)

regimes31.0ms (0.3%)

regimes55.0ms (0.5%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify15.0ms (0.1%)

soundness2.1s (18.9%)

preprocess69.0ms (0.6%)

end0.0ms (0%)

Profiling