Metrics for GTR1 distribution

analyze147.0ms (1.4%)

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: 120.0ms

ival-<=: 66.0ms (55% of total)

ival-mult: 29.0ms (24.2% of total)

...c/correct-round.rkt:121:19: 8.0ms (6.7% of total)

ival-log: 6.0ms (5% of total)

ival-div: 3.0ms (2.5% of total)

ival-add: 3.0ms (2.5% of total)

ival-sub: 3.0ms (2.5% of total)

ival-pi: 2.0ms (1.7% of total)

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

const: 0.0ms (0% of total)

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

sample2.2s (20.7%)

Results

1.8s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 432.0ms (34.2% of total)

ival-<=: 250.0ms (19.8% of total)

ival-div: 149.0ms (11.8% of total)

...c/correct-round.rkt:121:19: 145.0ms (11.5% of total)

ival-log: 124.0ms (9.8% of total)

ival-sub: 47.0ms (3.7% of total)

ival-add: 44.0ms (3.5% of total)

ival-pi: 33.0ms (2.6% of total)

ival-and: 26.0ms (2.1% of total)

const: 11.0ms (0.9% of total)

backward-pass: 2.0ms (0.2% of total)

Bogosity

preprocess77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs cosTheta)

(abs alpha)

explain127.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

65.0ms

512×

valid

Compiler

Compiled 214 to 41 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 18.0ms (47.9% of total)

ival-log: 7.0ms (18.6% of total)

ival-div: 5.0ms (13.3% of total)

ival-sub: 3.0ms (8% of total)

ival-add: 3.0ms (8% of total)

ival-pi: 2.0ms (5.3% of total)

const: 1.0ms (2.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Status

Accuracy

Program

▶

98.5%

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

▶

98.6%

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

Compiler

Compiled 50 to 27 computations (46% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f32 alpha alpha)
✓	cost-diff	(log.f32 (*.f32 alpha alpha))
✓	cost-diff	(PI.f32)
✓	cost-diff	(fma.f32 alpha alpha #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

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	709
1	76	681
2	217	681
3	862	681
4	3517	681
5	5185	681

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

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

localize126.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
✓	accuracy	99.4%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
✓	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	99.0%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Results

60.0ms

256×

valid

Compiler

Compiled 188 to 22 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 16.0ms (51.1% of total)

ival-div: 4.0ms (12.8% of total)

ival-fma: 3.0ms (9.6% of total)

ival-log: 3.0ms (9.6% of total)

ival-add: 2.0ms (6.4% of total)

ival-pi: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

series91.0ms (0.9%)

Counts

12 → 216

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

Calls

54 calls:

Time	Variable		Point	Expression
28.0ms	alpha	@	0	(* (PI) (log (* alpha alpha)))
11.0ms	cosTheta	@	0	(* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))
7.0ms	alpha	@	0	(/ (+ (* alpha alpha) -1) (* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta))))))
6.0ms	alpha	@	inf	(* (PI) (log (* alpha alpha)))
3.0ms	cosTheta	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite335.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`log1p-expm1-u`
777×	`expm1-log1p-u`
322×	`associate-r`
248×	`associate-l`
214×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	416
1	441	389
2	4991	389

Stop Event

1×	node limit

Counts

12 → 340

Calls

Call 1

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

simplify188.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-r`
1356×	`associate-l`
1266×	`times-frac`
1146×	`associate-/r*`
462×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	708	16299
1	1794	16299

Stop Event

1×	node limit

Counts

556 → 301

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

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

eval43.0ms (0.4%)

Compiler: Compiled 12806 to 1741 computations (86.4% saved)

prune96.0ms (0.9%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	408	22	430
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	409	23	432

Accuracy

100.0%

Counts

432 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(pow.f32 (.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32))
	98.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	98.2%	(/.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) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	98.4%	(/.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))) (+.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 (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))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.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))))
	72.4%	(/.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))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.3%	(/.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 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) cosTheta))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.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) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (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 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	98.1%	(/.f32 (log1p.f32 (expm1.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))))))
	67.2%	(/.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)))))))
▶	98.4%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (.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)))))
	98.3%	(.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 #s(literal 2 binary32) (log.f32 alpha)))))
	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.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 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
	91.4%	(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
	97.5%	(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))

Compiler

Compiled 1170 to 717 computations (38.7% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (.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))))
✓	cost-diff	64	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (.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)))))
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(cbrt.f32 (PI.f32))
✓	cost-diff	3264	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha)))
✓	cost-diff	6432	(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
✓	cost-diff	0	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
✓	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	-3136	(+.f32 #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

1336×	`div-sub`
988×	`fma-define`
724×	`distribute-rgt-neg-in`
716×	`distribute-lft-neg-in`
682×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	1540
1	177	1496
2	602	1496
3	3151	1496
4	4778	1496

Stop Event

1×	node limit

Calls

Call 1

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

localize418.0ms (4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.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)))
✓	accuracy	99.3%	(/.f32 #s(literal 1 binary32) (.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))))
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
✓	accuracy	98.9%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (.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)))))
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	99.0%	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha)))
✓	accuracy	96.9%	(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
✓	accuracy	99.4%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓	accuracy	99.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	98.6%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	accuracy	99.0%	(.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	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	90.3%	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))

Results

328.0ms

256×

valid

Compiler

Compiled 469 to 48 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 33.0ms (36.4% of total)

ival-pow: 17.0ms (18.7% of total)

ival-div: 13.0ms (14.3% of total)

ival-log: 10.0ms (11% of total)

ival-add: 6.0ms (6.6% of total)

ival-fma: 6.0ms (6.6% of total)

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

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

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

const: 1.0ms (1.1% of total)

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

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

series232.0ms (2.2%)

Counts

21 → 312

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

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

Calls

81 calls:

Time	Variable		Point	Expression
61.0ms	alpha	@	inf	(log (pow (pow alpha 2) (PI)))
53.0ms	alpha	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
19.0ms	alpha	@	0	(log (pow (pow alpha 2) (PI)))
8.0ms	alpha	@	-inf	(* (* 2 (log alpha)) (+ (* (+ (* alpha alpha) -1) (pow cosTheta 2)) 1))
6.0ms	alpha	@	inf	(* (/ (+ (* alpha alpha) -1) (PI)) (/ 1 (* (* 2 (log alpha)) (+ (* (+ (* alpha alpha) -1) (pow cosTheta 2)) 1))))

rewrite169.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

339×	`log1p-expm1-u`
339×	`expm1-log1p-u`
332×	`add-exp-log`
330×	`add-cube-cbrt`
329×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	698
1	1032	684

Stop Event

1×	node limit

Counts

21 → 496

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

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

simplify634.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1052×	`fma-define`
730×	`*-commutative`
696×	`distribute-lft-in`
646×	`distribute-rgt-in`
472×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1384	62209
1	3831	52908

Stop Event

1×	node limit

Counts

808 → 789

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

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

eval186.0ms (1.8%)

Compiler: Compiled 47512 to 5335 computations (88.8% saved)

prune232.0ms (2.2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1413	20	1433
Fresh	16	1	17
Picked	5	0	5
Done	0	1	1
Total	1434	22	1456

Accuracy

100.0%

Counts

1456 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
	67.2%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
	98.4%	(/.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))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	98.0%	(/.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))))
	72.3%	(/.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))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	96.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (+.f32 alpha #s(literal -1 binary32))) (.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))))
	97.5%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 3 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶	97.5%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 #s(literal -1 binary32) cosTheta))))))
	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶	96.2%	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32)))))
	67.2%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	98.1%	(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
	96.2%	(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
	89.4%	(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))))

Compiler

Compiled 974 to 651 computations (33.2% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	cost-diff	0	(fma.f32 cosTheta cosTheta #s(literal 1 binary32))
✓	cost-diff	0	(.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32)))))
	cost-diff	0	(PI.f32)
	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
✓	cost-diff	0	(+.f32 #s(literal 2 binary32) alpha)
✓	cost-diff	64	(+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32))
✓	cost-diff	32	(.f32 cosTheta (.f32 #s(literal -1 binary32) cosTheta))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 #s(literal -1 binary32) cosTheta)))
✓	cost-diff	64	(.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 #s(literal -1 binary32) cosTheta))))
✓	cost-diff	64	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) 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	(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

1328×	`times-frac`
1208×	`div-sub`
1110×	`fma-define`
990×	`associate-/r*`
810×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1485
1	163	1415
2	610	1415
3	2485	1409
4	6448	1409

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

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

localize290.0ms (2.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32)))))
✓	accuracy	99.2%	(/.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	99.0%	(.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32)))
✓	accuracy	99.1%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	98.6%	(*.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
✓	accuracy	98.4%	(+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32))
	accuracy	99.7%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 #s(literal -1 binary32) cosTheta))))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta)))))
✓	accuracy	98.6%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	accuracy	99.0%	(.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	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	90.3%	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Results

141.0ms

256×

valid

Compiler

Compiled 416 to 46 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 32.0ms (40.7% of total)

ival-div: 11.0ms (14% of total)

ival-log: 11.0ms (14% of total)

ival-add: 9.0ms (11.5% of total)

ival-pow: 8.0ms (10.2% of total)

ival-fma: 5.0ms (6.4% of total)

ival-pi: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

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

series93.0ms (0.9%)

Counts

20 → 321

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	-inf	(* (log alpha) (* 2 (PI)))
7.0ms	alpha	@	0	(* (log alpha) (* 2 (PI)))
5.0ms	alpha	@	inf	(* (log alpha) (* 2 (PI)))
3.0ms	alpha	@	-inf	(/ (* (log alpha) (* 2 (PI))) (+ (* alpha alpha) -1))
3.0ms	alpha	@	inf	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) 1))

rewrite176.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`log1p-expm1-u`
408×	`expm1-log1p-u`
402×	`add-exp-log`
394×	`add-log-exp`
393×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	795
1	1006	745

Stop Event

1×	node limit

Counts

20 → 387

Calls

Call 1

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

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

simplify755.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1926×	`times-frac`
1100×	`fma-define`
612×	`distribute-lft-in`
610×	`distribute-rgt-in`
584×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1194	45060
1	3193	42096

Stop Event

1×	node limit

Counts

708 → 784

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

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

eval158.0ms (1.5%)

Compiler: Compiled 41246 to 5030 computations (87.8% saved)

prune278.0ms (2.6%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1370	23	1393
Fresh	12	4	16
Picked	4	1	5
Done	0	1	1
Total	1386	29	1415

Accuracy

100.0%

Counts

1415 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.0%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
	96.2%	(/.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)))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	96.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))
	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) #s(literal 1 binary32)))
	71.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32)))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	96.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
▶	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	96.0%	(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
	97.3%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶	95.3%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
	97.2%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
	98.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 #s(literal -1 binary32) cosTheta))))))
▶	96.0%	(/.f32 (.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)))
	98.0%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 #s(literal -1 binary32) cosTheta))))))
	97.6%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
	96.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))))
▶	66.0%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	67.2%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	66.0%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
	67.2%	(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
	96.2%	(-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))
	96.2%	(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
	98.1%	(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
	96.2%	(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
	97.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))
	96.0%	(*.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)))))
▶	96.2%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))

Compiler

Compiled 1058 to 737 computations (30.3% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
	cost-diff	0	(+.f32 #s(literal 2 binary32) alpha)
	cost-diff	64	(+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32))
	cost-diff	0	(PI.f32)
	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
	cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
✓	cost-diff	0	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))
	cost-diff	-3072	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
	cost-diff	0	(PI.f32)
	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	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	(neg.f32 cosTheta)
✓	cost-diff	0	(*.f32 (neg.f32 cosTheta) cosTheta)
	cost-diff	0	(PI.f32)
	cost-diff	32	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))

Rules

1138×	`associate-+r+`
1102×	`sub-neg`
794×	`associate-+l+`
516×	`unsub-neg`
510×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	748
1	123	716
2	356	716
3	920	713
4	2637	713
5	5995	713

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

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

localize161.0ms (1.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))
✓	accuracy	99.0%	(*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
	accuracy	98.6%	(*.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
	accuracy	98.4%	(+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32))
✓	accuracy	100.0%	(log.f32 alpha)
	accuracy	100.0%	(PI.f32)
	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
✓	accuracy	98.8%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))
	accuracy	99.7%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.1%	(/.f32 (.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)))
	accuracy	99.0%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
	accuracy	98.6%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
✓	accuracy	100.0%	(log.f32 alpha)
	accuracy	100.0%	(PI.f32)
✓	accuracy	99.4%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
✓	accuracy	99.0%	(*.f32 (PI.f32) (log.f32 alpha))
	accuracy	99.9%	(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
	accuracy	99.8%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	accuracy	90.3%	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Results

106.0ms

256×

valid

Compiler

Compiled 228 to 39 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 16.0ms (25.1% of total)

ival-log: 12.0ms (18.9% of total)

ival-div: 11.0ms (17.3% of total)

ival-pow: 10.0ms (15.7% of total)

ival-add: 8.0ms (12.6% of total)

ival-fma: 2.0ms (3.1% of total)

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

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

const: 1.0ms (1.6% of total)

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

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

series22.0ms (0.2%)

Counts

9 → 108

Calls

Call 1

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

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

30 calls:

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

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`times-frac`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`
308×	`add-exp-log`
304×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	301
1	755	276

Stop Event

1×	node limit

Counts

9 → 266

Calls

Call 1

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

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

simplify343.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-/r*`
974×	`exp-prod`
922×	`times-frac`
792×	`associate-*r/`
684×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	725	21669
1	1759	17997
2	7078	17997

Stop Event

1×	node limit

Counts

374 → 425

Calls

Call 1

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

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

eval146.0ms (1.4%)

Compiler: Compiled 20461 to 3270 computations (84% saved)

prune334.0ms (3.2%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1009	21	1030
Fresh	10	12	22
Picked	3	2	5
Done	0	2	2
Total	1022	37	1059

Accuracy

100.0%

Counts

1059 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.8%	(pow.f32 (cbrt.f32 (/.f32 (/.f32 (.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (+.f32 alpha #s(literal 2 binary32)))) (PI.f32)) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 3 binary32))
	66.0%	(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
	96.2%	(/.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)))
	98.2%	(/.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))))
	96.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)))
	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) #s(literal 1 binary32)))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	96.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
	96.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32)))
	97.2%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
	95.4%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
✓	96.0%	(/.f32 (.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)))
	98.0%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 #s(literal -1 binary32) cosTheta))))))
	95.8%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
	95.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (PI.f32) (+.f32 #s(literal -1 binary32) alpha)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) alpha))))
	96.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))))
	66.0%	(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	62.4%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))
✓	66.0%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	67.2%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	66.0%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
	67.2%	(/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
	96.2%	(+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 2 binary32))) (.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
	98.1%	(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
	96.2%	(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
	95.9%	(.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)))
	96.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))
	95.9%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (/.f32 (PI.f32) (+.f32 #s(literal -1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) alpha))
	95.5%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (+.f32 alpha #s(literal 2 binary32)))) (PI.f32)))
	96.2%	(.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	95.6%	(.f32 (+.f32 #s(literal -1 binary32) (+.f32 alpha #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	95.9%	(.f32 (+.f32 #s(literal -1 binary32) alpha) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
	89.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))
	95.9%	(.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (PI.f32)) (log.f32 alpha)))
	96.0%	(*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (log.f32 alpha)))
	96.1%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha))))
	96.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha)) (PI.f32))))

Compiler

Compiled 2316 to 766 computations (66.9% saved)

regimes168.0ms (1.6%)

Counts

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

Outputs

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

Calls

4 calls:

77.0ms	(/.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))))
33.0ms	cosTheta
25.0ms	(*.f32 alpha alpha)
24.0ms	alpha

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)

regimes67.0ms (0.6%)

Counts

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

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:

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

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes33.0ms (0.3%)

Counts

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

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

Calls

3 calls:

11.0ms	(*.f32 alpha alpha)
9.0ms	alpha
9.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta`
98.3%	1	`alpha`
98.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes23.0ms (0.2%)

Counts

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

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

Results

Accuracy	Segments	Branch
96.3%	1	`cosTheta`
96.3%	1	`alpha`
96.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.1%)

Counts

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.2%	1	`cosTheta`
96.2%	1	`alpha`
96.2%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (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 #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 #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 #s(literal 1 binary32) alpha) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha)) (PI.f32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (PI.f32)) (log.f32 alpha)))
(.f32 (+.f32 #s(literal -1 binary32) alpha) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.1%	1	`cosTheta`
96.1%	1	`alpha`
96.1%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Counts

5 → 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 #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 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.0%	1	`cosTheta`
66.0%	1	`alpha`
66.0%	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:

1.0ms	alpha
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
66.0%	1	`alpha`
66.0%	1	`cosTheta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative`
16×	`+-commutative`
8×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	520
1	86	516
2	94	516
3	102	516
4	103	516

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

soundness1.7s (16%)

Rules

1926×	`times-frac`
1402×	`associate-r`
1356×	`associate-l`
1266×	`times-frac`
1146×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1194	45060
1	3193	42096
0	28	416
1	441	389
2	4991	389
0	1384	62209
1	3831	52908
0	708	16299
1	1794	16299
0	54	698
1	1032	684
0	725	21669
1	1759	17997
2	7078	17997
0	43	301
1	755	276

Stop Event

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

Compiler

Compiled 1397 to 433 computations (69% saved)

preprocess55.0ms (0.5%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1256 to 618 computations (50.8% saved)

analyze147.0ms (1.4%)

sample2.2s (20.7%)

preprocess77.0ms (0.7%)

explain127.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify71.0ms (0.7%)

localize126.0ms (1.2%)

series91.0ms (0.9%)

rewrite335.0ms (3.2%)

simplify188.0ms (1.8%)

eval43.0ms (0.4%)

prune96.0ms (0.9%)

simplify83.0ms (0.8%)

localize418.0ms (4%)

series232.0ms (2.2%)

rewrite169.0ms (1.6%)

simplify634.0ms (6%)

eval186.0ms (1.8%)

prune232.0ms (2.2%)

simplify75.0ms (0.7%)

localize290.0ms (2.8%)

series93.0ms (0.9%)

rewrite176.0ms (1.7%)

simplify755.0ms (7.2%)

eval158.0ms (1.5%)

prune278.0ms (2.6%)

simplify79.0ms (0.7%)

localize161.0ms (1.5%)

series22.0ms (0.2%)

rewrite107.0ms (1%)

simplify343.0ms (3.3%)

eval146.0ms (1.4%)

prune334.0ms (3.2%)

regimes168.0ms (1.6%)

regimes67.0ms (0.6%)

regimes33.0ms (0.3%)

regimes23.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

simplify8.0ms (0.1%)

soundness1.7s (16%)

preprocess55.0ms (0.5%)

end0.0ms (0%)

Profiling