Metrics for GTR1 distribution

analyze140.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 41 to 22 computations (46.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 15.0ms (29.9% of total)

...c/correct-round.rkt:121:19: 8.0ms (15.9% of total)

ival-<=: 8.0ms (15.9% of total)

ival-log: 6.0ms (12% of total)

ival-pi: 3.0ms (6% of total)

ival-div: 3.0ms (6% of total)

ival-add: 3.0ms (6% of total)

ival-sub: 3.0ms (6% of total)

ival-and: 2.0ms (4% of total)

const: 1.0ms (2% of total)

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

sample2.0s (22.7%)

Results

1.6s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 363.0ms (26.3% of total)

ival-sub: 340.0ms (24.6% of total)

ival-<=: 187.0ms (13.5% of total)

...c/correct-round.rkt:121:19: 140.0ms (10.1% of total)

ival-log: 122.0ms (8.8% of total)

ival-div: 81.0ms (5.9% of total)

ival-pi: 56.0ms (4.1% of total)

ival-add: 51.0ms (3.7% of total)

ival-and: 27.0ms (2% of total)

const: 12.0ms (0.9% of total)

backward-pass: 2.0ms (0.1% of total)

Bogosity

preprocess80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1368×	`fma-define`
1072×	`distribute-lft-neg-in`
948×	`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)

explain126.0ms (1.4%)

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

69.0ms

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 (41.2% of total)

ival-log: 10.0ms (24.3% of total)

ival-div: 5.0ms (12.1% of total)

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

ival-add: 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)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.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)))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Status

Accuracy

Program

▶

98.4%

(/.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)))

▶

98.7%

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

Compiler

Compiled 49 to 26 computations (46.9% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1704×	`fma-define`
1058×	`distribute-rgt-neg-in`
1018×	`distribute-lft-neg-in`
640×	`distribute-neg-in`
622×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	585
1	63	585
2	177	585
3	695	585
4	2836	585
5	5513	585

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)

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

localize81.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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	99.7%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
✓	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.7%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.0%	(/.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))))
✓	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Results

51.0ms

256×

valid

Compiler

Compiled 167 to 21 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (44.5% of total)

ival-div: 5.0ms (17.1% of total)

ival-log: 4.0ms (13.7% of total)

ival-add: 4.0ms (13.7% of total)

ival-pi: 1.0ms (3.4% of total)

ival-sub: 1.0ms (3.4% of total)

const: 1.0ms (3.4% of total)

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

series62.0ms (0.7%)

Counts

9 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
27.0ms	alpha	@	0	(* (PI) (log (* alpha alpha)))
6.0ms	alpha	@	inf	(* (PI) (log (* alpha alpha)))
2.0ms	alpha	@	inf	(/ (/ (+ (* alpha alpha) -1) (* (PI) (log (* alpha alpha)))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
2.0ms	alpha	@	0	(/ (/ (+ (* alpha alpha) -1) (* (PI) (log (* alpha alpha)))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
2.0ms	alpha	@	-inf	(/ (/ (+ (* alpha alpha) -1) (* (PI) (log (* alpha alpha)))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))

rewrite470.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1233×	`log1p-expm1-u`
476×	`expm1-log1p-u`
302×	`associate-r`
272×	`times-frac`
242×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	288
1	405	288
2	5395	288

Stop Event

1×	node limit

Counts

9 → 333

Calls

Call 1

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

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

simplify175.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1528×	`times-frac`
1302×	`associate-/r*`
1182×	`associate-r`
1018×	`associate-l`
652×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	742	14774
1	1865	14774

Stop Event

1×	node limit

Counts

465 → 303

Calls

Call 1

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

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

eval41.0ms (0.5%)

Compiler: Compiled 13223 to 1594 computations (87.9% saved)

prune127.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	439	14	453
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	440	15	455

Accuracy

100.0%

Counts

455 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f32 (/.f32 (/.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 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	98.7%	(/.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.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))))
	98.0%	(/.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))))
	98.5%	(/.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))))
	98.3%	(/.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))))
	74.8%	(/.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))))
✓	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶	98.8%	(/.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)))
	98.1%	(/.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)))
	98.1%	(/.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)))
▶	98.2%	(/.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)))
▶	65.0%	(/.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 752 to 457 computations (39.2% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(pow.f32 alpha #s(literal 6 binary32))
✓	cost-diff	32	(pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	32	(-.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #s(literal 1 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	32	(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
✓	cost-diff	32	(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
✓	cost-diff	32	(.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
✓	cost-diff	32	(/.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)))))))
✓	cost-diff	-3136	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
✓	cost-diff	-3136	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	cost-diff	0	(neg.f32 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)))

Rules

1174×	`distribute-lft-in`
1132×	`distribute-rgt-in`
966×	`associate-/r*`
732×	`times-frac`
650×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	1361
1	154	1341
2	502	1341
3	1945	1341
4	5949	1341

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

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

localize324.0ms (3.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.0%	(/.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 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))))
	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	94.1%	(pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 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 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	accuracy	98.8%	(.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	100.0%	(log.f32 alpha)
✓	accuracy	99.9%	(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
✓	accuracy	99.2%	(/.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)))))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
✓	accuracy	99.8%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
	accuracy	99.7%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.0%	(/.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	90.5%	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))

Results

203.0ms

256×

valid

Compiler

Compiled 422 to 50 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 27.0ms (28.8% of total)

ival-pow: 24.0ms (25.6% of total)

ival-div: 12.0ms (12.8% of total)

ival-log: 10.0ms (10.7% of total)

ival-add: 9.0ms (9.6% of total)

...c/correct-round.rkt:121:19: 5.0ms (5.3% of total)

ival-sub: 3.0ms (3.2% of total)

ival-neg: 2.0ms (2.1% of total)

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

const: 1.0ms (1.1% of total)

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

series292.0ms (3.3%)

Counts

24 → 356

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
48.0ms	alpha	@	0	(log (pow (pow alpha 2) (PI)))
48.0ms	alpha	@	-inf	(/ -1/2 (* (PI) (* (log alpha) (+ 1 (neg (pow cosTheta 2))))))
37.0ms	alpha	@	0	(/ (* (+ alpha 1) (/ (+ alpha -1) (* (PI) (* 2 (log alpha))))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
36.0ms	alpha	@	inf	(log (pow (pow alpha 2) (PI)))
17.0ms	cosTheta	@	-inf	(* (PI) (* (log alpha) (+ 1 (neg (pow cosTheta 2)))))

rewrite220.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

337×	`log1p-expm1-u`
337×	`expm1-log1p-u`
328×	`add-exp-log`
326×	`add-cube-cbrt`
324×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	718
1	1008	698

Stop Event

1×	node limit

Counts

24 → 512

Calls

Call 1

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

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

simplify545.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-define`
732×	`distribute-lft-in`
714×	`distribute-rgt-in`
616×	`*-commutative`
540×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1257	52110
1	3354	46294

Stop Event

1×	node limit

Counts

868 → 807

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

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

eval183.0ms (2.1%)

Compiler: Compiled 37969 to 4656 computations (87.7% saved)

prune326.0ms (3.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1230	17	1247
Fresh	6	3	9
Picked	5	0	5
Done	0	1	1
Total	1241	21	1262

Accuracy

100.0%

Counts

1262 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
	64.1%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
▶	97.8%	(/.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	98.1%	(/.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))))
	97.1%	(/.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 (neg.f32 cosTheta) cosTheta))))
	97.7%	(/.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 (neg.f32 cosTheta) cosTheta))))
	97.4%	(/.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))))
▶	74.1%	(/.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))))
✓	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
▶	98.8%	(/.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))))
	98.1%	(/.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)))
	98.1%	(/.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)))
	97.5%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) 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 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (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)))
	98.5%	(/.f32 (log.f32 (exp.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 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	64.1%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	65.0%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	65.1%	(/.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))))
	95.5%	(.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))))
	95.5%	(.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 860 to 581 computations (32.4% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	32	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
✓	cost-diff	32	(pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	32	(-.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
✓	cost-diff	64	(/.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
✓	cost-diff	96	(/.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))))
✓	cost-diff	3200	(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	cost-diff	3200	(*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	cost-diff	3232	(.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))
	cost-diff	0	(PI.f32)
	cost-diff	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	64	(.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))
	cost-diff	0	(log.f32 alpha)
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 (PI.f32) (log.f32 alpha))
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(pow.f32 (*.f32 alpha alpha) (PI.f32))
✓	cost-diff	0	(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
	cost-diff	0	(*.f32 alpha alpha)

Rules

1930×	`fma-define`
948×	`div-sub`
892×	`fmm-def`
758×	`times-frac`
668×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	1112
1	126	1076
2	424	1076
3	1393	1070
4	3839	1070
5	6956	1070

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

localize197.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	99.7%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.0%	(/.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	94.1%	(pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32))
	accuracy	99.8%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	accuracy	99.0%	(/.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))))
✓	accuracy	98.9%	(*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	accuracy	74.9%	(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
	accuracy	99.8%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
	accuracy	99.7%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
	accuracy	100.0%	(PI.f32)
	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	99.2%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
✓	accuracy	98.9%	(*.f32 (PI.f32) (log.f32 alpha))
	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.0%	(/.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	90.5%	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Results

128.0ms

256×

valid

Compiler

Compiled 321 to 39 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 22.0ms (26.6% of total)

ival-pow: 20.0ms (24.2% of total)

ival-log: 13.0ms (15.7% of total)

ival-div: 10.0ms (12.1% of total)

ival-add: 5.0ms (6.1% of total)

ival-sub: 4.0ms (4.8% of total)

...c/correct-round.rkt:121:19: 4.0ms (4.8% of total)

ival-pi: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

series34.0ms (0.4%)

Counts

15 → 232

Calls

Call 1

Inputs
#<alt (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))>
#<alt (pow.f32 (*.f32 alpha alpha) (PI.f32))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 (PI.f32) (log.f32 alpha))>
#<alt (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))>
#<alt (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))>
#<alt (*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))>
#<alt (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))>
#<alt (/.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))))>
#<alt (/.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #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 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))>
#<alt (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32))>
#<alt (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) 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 (.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))) #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 (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) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (/.f32 #s(literal 1/2 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 #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 -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (.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 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (.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 (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)))>
#<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 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 (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))>
#<alt (+.f32 (.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)))))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (+.f32 (.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)))))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (+.f32 (.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)))))) (.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 (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)))))>
#<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 #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 (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)))))>
#<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 #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 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) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))>
#<alt (*.f32 #s(literal -2 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 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #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 1/2 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 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #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 1/2 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 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #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 1/2 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 (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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 -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))))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (-.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 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 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)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (.f32 #s(literal -1 binary32) (/.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)))))))) (/.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 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (.f32 #s(literal -1 binary32) (/.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)))))))) (.f32 #s(literal -1 binary32) (/.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)))))))) (/.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 (-.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 (pow.f32 alpha #s(literal 2 binary32)))))))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (/.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))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (+.f32 (/.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)))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #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 (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)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (+.f32 (/.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)))))) (/.f32 #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 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 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)))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #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 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (.f32 #s(literal -1 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 (pow.f32 alpha #s(literal 2 binary32)))))))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (/.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))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (+.f32 (/.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)))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #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 (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)))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (+.f32 (/.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)))))) (/.f32 #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 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 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)))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #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 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 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)))))))>
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#<alt (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #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 1/2 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 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #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 1/2 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 (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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 -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))))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (-.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 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 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)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (.f32 #s(literal -1 binary32) (/.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)))))))) (/.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))))))>
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#<alt (.f32 #s(literal -1 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 (pow.f32 alpha #s(literal 2 binary32)))))))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (/.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))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 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 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (+.f32 (/.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)))))) (/.f32 #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 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 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)))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #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 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (.f32 #s(literal -1 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 (pow.f32 alpha #s(literal 2 binary32)))))))>
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#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.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)))))) (+.f32 (/.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)))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #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 (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 (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))))))))>
#<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)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))>
#<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))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (/.f32 (pow.f32 alpha #s(literal 2 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 (.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 (pow.f32 alpha #s(literal 2 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 (.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))) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))))) (*.f32 #s(literal -1 binary32) (/.f32 (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 (pow.f32 alpha #s(literal 2 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)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (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)) (.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 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.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 2 binary32)))))) (/.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)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.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 2 binary32)))))) (+.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))) (-.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 (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)) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (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)) (.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 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.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 2 binary32)))))) (/.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)))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))) (/.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 2 binary32)))))) (+.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))) (-.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 (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 -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 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)))))>
#<alt (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 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)))))>
#<alt (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 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)))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>

Calls

60 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta	@	0	(* (* (PI) (log (+ 1 (+ (* alpha alpha) -1)))) (+ 1 (* (neg cosTheta) cosTheta)))
1.0ms	alpha	@	0	(/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
1.0ms	alpha	@	inf	(/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
1.0ms	alpha	@	-inf	(/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
1.0ms	alpha	@	-inf	(/ -1/2 (* (PI) (log alpha)))

rewrite172.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`times-frac`
298×	`log1p-expm1-u`
298×	`expm1-log1p-u`
289×	`add-exp-log`
285×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	554
1	722	490

Stop Event

1×	node limit

Counts

15 → 433

Calls

Call 1

Inputs
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (PI.f32) (log.f32 alpha))
(.f32 (.f32 (PI.f32) (log.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 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.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 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 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 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 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 (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 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))

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

simplify395.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1518×	`times-frac`
1454×	`associate-r`
1224×	`associate-l`
452×	`*-commutative`
406×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	950	46922
1	2398	40855

Stop Event

1×	node limit

Counts

665 → 588

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

eval110.0ms (1.2%)

Compiler: Compiled 30688 to 3670 computations (88% saved)

prune190.0ms (2.1%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1143	20	1163
Fresh	6	9	15
Picked	3	2	5
Done	0	1	1
Total	1152	32	1184

Accuracy

100.0%

Counts

1184 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
	95.4%	(/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
▶	64.1%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
	98.1%	(/.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))))
	95.4%	(/.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))) #s(literal 1 binary32)))
	95.3%	(/.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))) #s(literal 1 binary32)))
	97.7%	(/.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 (neg.f32 cosTheta) cosTheta))))
	95.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) #s(literal 1 binary32)))
	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32)) #s(literal 1/3 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	97.4%	(/.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))))
	95.5%	(/.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)))) #s(literal 1 binary32)))
✓	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))
	98.1%	(/.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)))
	98.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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))))
▶	98.5%	(/.f32 (log.f32 (exp.f32 (fma.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))))
▶	95.4%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
	64.1%	(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
▶	63.9%	(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 alpha)))
	61.1%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))
✓	64.1%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	64.1%	(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
▶	65.0%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	64.1%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
	95.5%	(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))
	95.3%	(.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) (log.f32 alpha)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
	95.3%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
	95.3%	(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
	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)))))
	95.5%	(.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))))
	95.5%	(.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 1076 to 770 computations (28.4% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f32 (PI.f32))
✓	cost-diff	6432	(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
✓	cost-diff	6432	(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 alpha))
✓	cost-diff	6432	(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 alpha)))
✓	cost-diff	0	(/.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
	cost-diff	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
	cost-diff	32	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
✓	cost-diff	32	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
✓	cost-diff	32	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	cost-diff	0	(log.f32 alpha)
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) (PI.f32))
✓	cost-diff	0	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
✓	cost-diff	0	(exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	cost-diff	128	(/.f32 (log.f32 (exp.f32 (fma.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))))
✓	cost-diff	6400	(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))

Rules

1686×	`fma-define`
1322×	`associate-*r/`
1082×	`associate-*l/`
682×	`associate-/l*`
638×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	901
1	104	877
2	302	871
3	1262	871
4	3901	871

Stop Event

1×	node limit

Calls

Call 1

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

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

localize238.0ms (2.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	99.2%	(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 alpha)))
✓	accuracy	98.9%	(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 alpha))
✓	accuracy	96.9%	(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
✓	accuracy	99.0%	(/.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	98.7%	(.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	accuracy	99.9%	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
	accuracy	99.7%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.2%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) (PI.f32))
	accuracy	100.0%	(PI.f32)
	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	98.5%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
✓	accuracy	99.4%	(exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	99.0%	(/.f32 (log.f32 (exp.f32 (fma.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	98.7%	(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
	accuracy	90.5%	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Results

179.0ms

256×

valid

Compiler

Compiled 268 to 39 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-exp: 50.0ms (38.4% of total)

ival-mult: 22.0ms (16.9% of total)

ival-div: 14.0ms (10.7% of total)

ival-log: 13.0ms (10% of total)

ival-pow: 11.0ms (8.4% of total)

ival-add: 10.0ms (7.7% of total)

ival-pi: 4.0ms (3.1% of total)

ival-cbrt: 2.0ms (1.5% of total)

ival-sub: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

series28.0ms (0.3%)

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	cosTheta	@	-inf	(/ -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
1.0ms	alpha	@	-inf	(/ 1 (* (PI) (/ (* 2 (log alpha)) (+ (* alpha alpha) -1))))
1.0ms	alpha	@	-inf	(* (PI) (/ (* 2 (log alpha)) (+ (* alpha alpha) -1)))
1.0ms	alpha	@	inf	(/ (log (exp (+ (* alpha alpha) -1))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
1.0ms	alpha	@	0	(/ (log (exp (+ (* alpha alpha) -1))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite137.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

303×	`log1p-expm1-u`
303×	`expm1-log1p-u`
291×	`add-exp-log`
289×	`add-cube-cbrt`
288×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	429
1	738	400

Stop Event

1×	node limit

Counts

14 → 378

Calls

Call 1

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

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

simplify352.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-/r*`
928×	`times-frac`
680×	`associate-*r/`
640×	`fma-define`
600×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1080	31151
1	2666	27362

Stop Event

1×	node limit

Counts

546 → 664

Calls

Call 1

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

eval102.0ms (1.1%)

Compiler: Compiled 23296 to 3474 computations (85.1% saved)

prune171.0ms (1.9%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	996	13	1009
Fresh	8	16	24
Picked	2	3	5
Done	0	3	3
Total	1006	35	1041

Accuracy

100.0%

Counts

1041 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.4%	(/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	64.1%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	61.1%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))
✓	64.1%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
	98.1%	(/.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))))
	95.4%	(/.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))) #s(literal 1 binary32)))
	97.7%	(/.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 (neg.f32 cosTheta) cosTheta))))
	95.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) #s(literal 1 binary32)))
	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32)) #s(literal 1/3 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	97.4%	(/.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))))
	95.5%	(/.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)))) #s(literal 1 binary32)))
✓	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	95.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))))
	98.1%	(/.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)))
	98.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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))))
	98.1%	(/.f32 (log.f32 (exp.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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))))
✓	95.4%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
	95.2%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 alpha #s(literal -1 binary32))))))
	95.2%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 alpha #s(literal 1 binary32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
	95.3%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (/.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal -1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32))))))
	64.1%	(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	61.1%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))
✓	64.1%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	64.1%	(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
✓	65.0%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	64.1%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
	95.6%	(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
	95.4%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))
	95.4%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
	95.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
	64.1%	(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
	95.5%	(.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) alpha) (.f32 (PI.f32) (log.f32 alpha))) #s(literal 2 binary32)))
	95.5%	(.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))))
	95.1%	(exp.f32 (.f32 (log.f32 (/.f32 (PI.f32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))))) #s(literal -1 binary32)))

Compiler

Compiled 1768 to 668 computations (62.2% saved)

regimes82.0ms (0.9%)

Counts

66 → 1

Calls

Call 1

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

21.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
19.0ms	cosTheta
19.0ms	alpha
18.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes49.0ms (0.6%)

Counts

38 → 1

Calls

Call 1

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

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:

14.0ms	(*.f32 alpha alpha)
12.0ms	alpha
11.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
10.0ms	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)

regimes23.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 #s(literal -1 binary32) (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 (PI.f32) (log.f32 alpha)))))
(.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 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) alpha) (.f32 (PI.f32) (log.f32 alpha))) #s(literal 2 binary32)))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) #s(literal 1 binary32)))
(/.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 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (/.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal -1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 alpha #s(literal 1 binary32))) (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (/.f32 (log.f32 alpha) (+.f32 alpha #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 alpha #s(literal -1 binary32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) 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 (neg.f32 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 (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 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32)) #s(literal 1/3 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:

8.0ms	alpha
7.0ms	(*.f32 alpha alpha)
7.0ms	cosTheta

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes22.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	alpha
6.0ms	(*.f32 alpha alpha)
6.0ms	cosTheta

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(.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))))

Calls

3 calls:

5.0ms	(*.f32 alpha alpha)
4.0ms	alpha
4.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.5%	1	`cosTheta`
95.5%	1	`alpha`
95.5%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes11.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

3 calls:

4.0ms	alpha
3.0ms	(*.f32 alpha alpha)
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.5%	1	`cosTheta`
95.5%	1	`alpha`
95.5%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(*.f32 alpha alpha)
3.0ms	alpha
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
64.1%	1	`cosTheta`
64.1%	1	`alpha`
64.1%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	cosTheta
1.0ms	alpha

Results

Accuracy	Segments	Branch
64.1%	1	`alpha`
64.1%	1	`cosTheta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
18×	`+-commutative`
10×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	468
1	78	464
2	87	464
3	96	464
4	97	464

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

soundness913.0ms (10.2%)

Rules

1528×	`times-frac`
1368×	`fma-define`
1302×	`associate-/r*`
1233×	`log1p-expm1-u`
1182×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	647
1	179	603
2	680	603
3	3727	603
0	742	14774
1	1865	14774
0	26	288
1	405	288
2	5395	288
0	1257	52110
1	3354	46294
0	55	718
1	1008	698

Stop Event

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

Compiler

Compiled 779 to 205 computations (73.7% saved)

preprocess105.0ms (1.2%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1020 to 494 computations (51.6% saved)

analyze140.0ms (1.6%)

sample2.0s (22.7%)

preprocess80.0ms (0.9%)

explain126.0ms (1.4%)

eval0.0ms (0%)

prune5.0ms (0.1%)

simplify91.0ms (1%)

localize81.0ms (0.9%)

series62.0ms (0.7%)

rewrite470.0ms (5.3%)

simplify175.0ms (2%)

eval41.0ms (0.5%)

prune127.0ms (1.4%)

simplify72.0ms (0.8%)

localize324.0ms (3.6%)

series292.0ms (3.3%)

rewrite220.0ms (2.5%)

simplify545.0ms (6.1%)

eval183.0ms (2.1%)

prune326.0ms (3.7%)

simplify86.0ms (1%)

localize197.0ms (2.2%)

series34.0ms (0.4%)

rewrite172.0ms (1.9%)

simplify395.0ms (4.4%)

eval110.0ms (1.2%)

prune190.0ms (2.1%)

simplify74.0ms (0.8%)

localize238.0ms (2.7%)

series28.0ms (0.3%)

rewrite137.0ms (1.5%)

simplify352.0ms (3.9%)

eval102.0ms (1.1%)

prune171.0ms (1.9%)

regimes82.0ms (0.9%)

regimes49.0ms (0.6%)

regimes23.0ms (0.3%)

regimes22.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness913.0ms (10.2%)

preprocess105.0ms (1.2%)

end0.0ms (0%)

Profiling