Metrics for GTR1 distribution

analyze632.0ms (5.7%)

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
0%	0%	0.6%	99.4%	0%	0%	0%	5
0%	0%	0.6%	99.4%	0%	0%	0%	6
0%	0%	0.6%	99.4%	0%	0%	0%	7
0%	0%	0.6%	99.4%	0%	0%	0%	8
0%	0%	0.6%	99.4%	0%	0%	0%	9
0%	0%	0.6%	99.4%	0%	0%	0%	10
0%	0%	0.6%	99.4%	0%	0%	0%	11
0%	0%	0.6%	99.4%	0%	0%	0%	12

Compiler

Compiled 40 to 23 computations (42.5% saved)

sample2.0s (18.1%)

Results

1.6s

8256×

valid

Precisions

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

ival-log: 421.0ms (34.3% of total)

ival-mult: 310.0ms (25.3% of total)

...in/eval/compile.rkt:77:19: 170.0ms (13.9% of total)

ival-<=: 91.0ms (7.4% of total)

ival-div: 67.0ms (5.5% of total)

ival-add: 45.0ms (3.7% of total)

ival-sub: 42.0ms (3.4% of total)

ival-pi: 39.0ms (3.2% of total)

ival-and: 28.0ms (2.3% of total)

...in/eval/compile.rkt:76:19: 8.0ms (0.7% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

preprocess81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs cosTheta)

(abs alpha)

explain231.0ms (2.1%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Results

57.0ms

512×

valid

Compiler

Compiled 238 to 56 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 19.0ms (50.8% of total)

ival-log: 7.0ms (18.7% of total)

ival-div: 4.0ms (10.7% of total)

ival-pi: 2.0ms (5.4% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 2.0ms (5.4% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶	98.3%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Status

Accuracy

Program

▶

98.3%

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

▶

98.3%

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

▶

98.4%

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

Compiler

Compiled 73 to 40 computations (45.2% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 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	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	cost-diff	(fma.f32 alpha alpha #s(literal -1 binary32))
✓	cost-diff	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
✓	cost-diff	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	cost-diff	(log.f32 (*.f32 alpha alpha))
✓	cost-diff	(PI.f32)
✓	cost-diff	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	cost-diff	(*.f32 alpha alpha)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	942
1	83	942
2	221	942
3	865	942
4	3494	942
5	5132	942

Stop Event

1×	node limit

Calls

Call 1

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

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

localize111.0ms (1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.4%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓	accuracy	99.2%	(/.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	99.0%	(.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	99.8%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	accuracy	99.6%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
✓	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.6%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Results

66.0ms

256×

valid

Compiler

Compiled 253 to 28 computations (88.9% saved)

Precisions

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

ival-mult: 28.0ms (57% of total)

ival-div: 9.0ms (18.3% of total)

ival-add: 6.0ms (12.2% of total)

ival-log: 3.0ms (6.1% of total)

ival-pi: 1.0ms (2% of total)

ival-sub: 1.0ms (2% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series156.0ms (1.4%)

Counts

12 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
68.0ms	alpha	@	-inf	(/ (/ (+ (* alpha alpha) -1) (* (PI) (log (* alpha alpha)))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
29.0ms	alpha	@	0	(* (PI) (log (* alpha alpha)))
11.0ms	cosTheta	@	0	(* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))
6.0ms	alpha	@	inf	(* (PI) (log (* alpha alpha)))
3.0ms	alpha	@	-inf	(/ (+ (* alpha alpha) -1) (* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta))))))

rewrite435.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

12 → 480

Calls

Call 1

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

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

simplify424.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1596×	`times-frac`
1532×	`associate-r`
1362×	`associate-l`
456×	`fma-define`
428×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	842	44336
1	2169	44336

Stop Event

1×	node limit

Counts

684 → 365

Calls

Call 1

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

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

eval66.0ms (0.6%)

Compiler: Compiled 19066 to 2251 computations (88.2% saved)

prune282.0ms (2.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	624	26	650
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	626	27	653

Accuracy

100.0%

Counts

653 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
	98.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	97.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
	97.6%	(/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	98.3%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	97.0%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (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))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	74.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	97.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (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))))
	98.1%	(/.f32 (-.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))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.3%	(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.5%	(/.f32 (.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	98.1%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.1%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	97.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.1%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	64.9%	(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))

Compiler

Compiled 1412 to 857 computations (39.3% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	cost-diff	0	(cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	cost-diff	160	(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
✓	cost-diff	6432	(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
✓	cost-diff	0	(log.f32 alpha)
✓	cost-diff	0	(*.f32 #s(literal 2 binary32) (log.f32 alpha))
✓	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	0	(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
	cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
	cost-diff	0	(PI.f32)
✓	cost-diff	32	(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	cost-diff	32	(*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	cost-diff	-3136	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓	cost-diff	0	(neg.f32 cosTheta)
✓	cost-diff	0	(*.f32 (neg.f32 cosTheta) cosTheta)
	cost-diff	0	(PI.f32)
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(pow.f32 alpha #s(literal 2 binary32))
✓	cost-diff	0	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))
✓	cost-diff	0	(log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))

Rules

1662×	`distribute-lft-in`
1646×	`distribute-rgt-in`
1490×	`times-frac`
746×	`fma-define`
672×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1587
1	150	1545
2	573	1545
3	2601	1535

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

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

localize260.0ms (2.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	accuracy	97.7%	(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
✓	accuracy	99.8%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))
✓	accuracy	98.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))
✓	accuracy	98.7%	(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.2%	(/.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))))
✓	accuracy	98.9%	(*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	accuracy	74.6%	(log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	99.8%	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
	accuracy	99.6%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.2%	(/.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	90.6%	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))

Results

145.0ms

256×

valid

Compiler

Compiled 466 to 47 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 72.0ms (58.1% of total)

ival-div: 12.0ms (9.7% of total)

ival-pow: 11.0ms (8.9% of total)

ival-log: 9.0ms (7.3% of total)

ival-add: 7.0ms (5.6% of total)

ival-sub: 3.0ms (2.4% of total)

ival-log1p: 3.0ms (2.4% of total)

ival-pow2: 3.0ms (2.4% of total)

ival-cbrt: 2.0ms (1.6% of total)

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

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

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series192.0ms (1.7%)

Counts

24 → 352

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

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

Calls

93 calls:

Time	Variable		Point	Expression
34.0ms	alpha	@	-inf	(* 2 (log alpha))
19.0ms	alpha	@	0	(log (pow (pow alpha 2) (PI)))
16.0ms	alpha	@	inf	(log (pow (pow alpha 2) (PI)))
6.0ms	cosTheta	@	0	(* (pow (cbrt (* (PI) (* 2 (log alpha)))) 3) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
5.0ms	alpha	@	inf	(* 2 (log alpha))

rewrite170.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

355×	`log1p-expm1-u`
355×	`expm1-log1p-u`
348×	`add-exp-log`
347×	`add-cube-cbrt`
345×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	806
1	969	785

Stop Event

1×	node limit

Counts

24 → 469

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

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

simplify695.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-define`
684×	`distribute-lft-in`
678×	`*-commutative`
662×	`distribute-rgt-in`
556×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1240	56954
1	3345	49612

Stop Event

1×	node limit

Counts

821 → 742

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

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

eval181.0ms (1.6%)

Compiler: Compiled 43492 to 4890 computations (88.8% saved)

prune533.0ms (4.8%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1270	22	1292
Fresh	15	6	21
Picked	4	1	5
Done	0	1	1
Total	1289	30	1319

Accuracy

100.0%

Counts

1319 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
	96.3%	(/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	98.3%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	96.8%	(/.f32 (/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	98.1%	(/.f32 (/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal -1 binary32))) (PI.f32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (-.f32 (-.f32 (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))))
	91.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))) #s(literal 3 binary32)) (+.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 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	96.0%	(/.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))))
	97.0%	(/.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))))
	96.0%	(/.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 (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 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.8%	(/.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))))
	73.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	72.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.1%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	96.8%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (+.f32 alpha #s(literal -1 binary32))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.1%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	74.6%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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))))
	96.6%	(/.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))))
	97.1%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.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)))))
	64.8%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	65.1%	(/.f32 #s(literal -1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.0%	(.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))))))
	93.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
▶	93.6%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))

Compiler

Compiled 1453 to 951 computations (34.5% saved)

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	160	(/.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))))
✓	cost-diff	3296	(.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)))
	cost-diff	6432	(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
	cost-diff	0	(log.f32 alpha)
	cost-diff	0	(*.f32 #s(literal 2 binary32) (log.f32 alpha))
	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
	cost-diff	0	(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	32	(log.f32 (/.f32 #s(literal 1 binary32) alpha))
✓	cost-diff	64	(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
✓	cost-diff	64	(.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
✓	cost-diff	0	(*.f32 (PI.f32) (log.f32 alpha))
✓	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
	cost-diff	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

1214×	`associate-/l*`
958×	`fmm-def`
910×	`fma-define`
826×	`associate-*r/`
664×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	1516
1	151	1442
2	624	1406
3	3239	1406
4	7730	1406

Stop Event

1×	node limit

Calls

Call 1

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

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

localize245.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	99.5%	(cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓	accuracy	99.2%	(/.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))))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
	accuracy	97.7%	(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))
	accuracy	98.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))
	accuracy	98.7%	(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	accuracy	98.7%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.3%	(log.f32 (/.f32 #s(literal 1 binary32) alpha))
✓	accuracy	99.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
✓	accuracy	98.9%	(*.f32 (PI.f32) (log.f32 alpha))
✓	accuracy	98.7%	(.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
	accuracy	99.7%	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.2%	(/.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	90.6%	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Results

100.0ms

256×

valid

Compiler

Compiled 438 to 50 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 30.0ms (38.2% of total)

ival-div: 15.0ms (19.1% of total)

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

ival-log: 10.0ms (12.7% of total)

ival-add: 6.0ms (7.6% of total)

ival-cbrt: 2.0ms (2.5% of total)

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

...in/eval/compile.rkt:76:19: 1.0ms (1.3% of total)

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

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

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

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

series56.0ms (0.5%)

Counts

14 → 204

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

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

Calls

54 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	-inf	(* (PI) (* -2 (log (/ 1 alpha))))
4.0ms	alpha	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (* -2 (log (/ 1 alpha)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms	alpha	@	-inf	(/ (- (* alpha alpha) 1) (* (* (PI) (* -2 (log (/ 1 alpha)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms	cosTheta	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (* -2 (log (/ 1 alpha)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms	cosTheta	@	-inf	(/ (- (* alpha alpha) 1) (* (* (PI) (* -2 (log (/ 1 alpha)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite121.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

363×	`log1p-expm1-u`
363×	`expm1-log1p-u`
359×	`add-exp-log`
353×	`add-log-exp`
351×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	520
1	816	478

Stop Event

1×	node limit

Counts

14 → 259

Calls

Call 1

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

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

simplify258.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1554×	`associate-/r*`
1176×	`times-frac`
626×	`fma-define`
540×	`distribute-lft-in`
524×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	920	31873
1	2411	26629

Stop Event

1×	node limit

Counts

463 → 539

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

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

eval175.0ms (1.6%)

Compiler: Compiled 36145 to 4741 computations (86.9% saved)

prune199.0ms (1.8%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1179	25	1204
Fresh	13	10	23
Picked	2	3	5
Done	0	2	2
Total	1194	40	1234

Accuracy

100.0%

Counts

1234 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.1%	(/.f32 (/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal -1 binary32))) (PI.f32)) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	98.2%	(/.f32 (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	91.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))) #s(literal 3 binary32)) (+.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 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log1p.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (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))))
	73.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	97.5%	(/.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	98.1%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	96.8%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (+.f32 alpha #s(literal -1 binary32))))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (/.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	96.6%	(/.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))))
	64.8%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	65.1%	(/.f32 #s(literal -1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	93.9%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)) (PI.f32)))
	93.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
	93.6%	(.f32 #s(literal 1/2 binary32) (-.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)))))
▶	93.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
	93.5%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32))) #s(literal -1 binary32))))
	93.8%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
	93.7%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
	45.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha))))
	93.3%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha)))))))
	93.4%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
	88.5%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))))
✓	93.6%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
▶	93.6%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
	93.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
	45.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
	93.4%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
	92.9%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 alpha (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))))
▶	45.7%	(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))

Compiler

Compiled 1698 to 1145 computations (32.6% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1610×	`times-frac`
1150×	`fma-define`
750×	`associate-*r/`
722×	`fmm-def`
654×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	1247
1	132	1115
2	507	1115
3	2113	1099
4	5839	1099

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

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

localize203.0ms (1.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))
✓	accuracy	98.8%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	accuracy	98.7%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))
	accuracy	98.7%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
✓	accuracy	99.8%	(log.f32 (pow.f32 alpha (PI.f32)))
✓	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))
✓	accuracy	98.7%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))
✓	accuracy	93.1%	(pow.f32 alpha (PI.f32))
	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
	accuracy	98.9%	(*.f32 (PI.f32) (log.f32 alpha))
✓	accuracy	98.7%	(.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
✓	accuracy	98.5%	(+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32))
	accuracy	100.0%	(PI.f32)
	accuracy	100.0%	(log.f32 alpha)
	accuracy	99.0%	(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
	accuracy	98.9%	(*.f32 (PI.f32) (log.f32 alpha))
	accuracy	99.6%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.2%	(*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta)
✓	accuracy	99.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
	accuracy	98.9%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Results

91.0ms

256×

valid

Compiler

Compiled 367 to 46 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 28.0ms (39.3% of total)

ival-div: 13.0ms (18.3% of total)

ival-log: 11.0ms (15.4% of total)

ival-add: 9.0ms (12.6% of total)

ival-pow: 5.0ms (7% of total)

ival-pow2: 2.0ms (2.8% of total)

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

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

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series189.0ms (1.7%)

Counts

15 → 181

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
62.0ms	alpha	@	-inf	(log (pow alpha (PI)))
60.0ms	alpha	@	0	(log (pow alpha (PI)))
21.0ms	alpha	@	inf	(log (pow alpha (PI)))
5.0ms	alpha	@	0	(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* (pow alpha 2) cosTheta) (* -1 cosTheta)) cosTheta))))
4.0ms	alpha	@	-inf	(/ (+ alpha -1) (log (pow alpha (PI))))

rewrite140.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`times-frac`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`
307×	`add-exp-log`
307×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	469
1	745	431

Stop Event

1×	node limit

Counts

15 → 408

Calls

Call 1

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

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

simplify605.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-*r/`
794×	`associate-*l/`
624×	`distribute-rgt-in`
620×	`distribute-lft-in`
528×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1186	34421
1	3217	29586

Stop Event

1×	node limit

Counts

589 → 670

Calls

Call 1

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

eval127.0ms (1.2%)

Compiler: Compiled 32214 to 4811 computations (85.1% saved)

prune214.0ms (1.9%)

Pruning

49 alts after pruning (41 fresh and 8 done)

	Pruned	Kept	Total
New	1195	17	1212
Fresh	6	24	30
Picked	2	3	5
Done	0	5	5
Total	1203	49	1252

Accuracy

100.0%

Counts

1252 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))))
	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.1%	(/.f32 (/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 alpha #s(literal -1 binary32))) (PI.f32)) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	98.2%	(/.f32 (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	97.8%	(/.f32 (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (PI.f32))) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	91.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))) #s(literal 3 binary32)) (+.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 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log1p.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (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))))
	73.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 (.f32 cosTheta (pow.f32 alpha #s(literal 2 binary32))) cosTheta) cosTheta))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
✓	98.1%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	96.8%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (+.f32 alpha #s(literal -1 binary32))))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	98.0%	(/.f32 (.f32 (/.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	96.6%	(/.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))))
	64.8%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
	93.9%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)) (PI.f32)))
	45.7%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha)) (PI.f32)))
	62.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
	45.7%	(.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
	93.7%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
	93.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
	45.7%	(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32)))))
	62.6%	(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
	93.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
	45.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha))))
	88.5%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))))
✓	93.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
	93.0%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
	45.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
	92.6%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (-.f32 (/.f32 alpha (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 alpha)))))
	92.9%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) alpha))) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))))
	93.7%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
	45.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha))))
	93.3%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha)))))))
	93.4%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
	88.5%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))))
✓	93.6%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
✓	93.6%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
	93.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
	45.1%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
	93.5%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))))
	93.4%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha)))))
	93.4%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))

Compiler

Compiled 3007 to 1081 computations (64.1% saved)

regimes114.0ms (1%)

Counts

93 → 1

Calls

Call 1

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

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:

27.0ms	(*.f32 alpha alpha)
27.0ms	(/.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))))
26.0ms	alpha
26.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta`
98.7%	1	`alpha`
98.7%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes71.0ms (0.6%)

Counts

47 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

25.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
14.0ms	alpha
14.0ms	(*.f32 alpha alpha)
13.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta`
98.4%	1	`alpha`
98.4%	1	`(*.f32 alpha alpha)`
98.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes31.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
97.1%	1	`cosTheta`
97.1%	1	`alpha`
97.1%	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 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
(.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha)) (PI.f32)))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (log.f32 alpha)) (+.f32 alpha #s(literal -1 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 alpha))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (.f32 (PI.f32) (log.f32 alpha)))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
93.7%	1	`cosTheta`
93.7%	1	`alpha`
93.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	alpha
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
93.6%	1	`cosTheta`
93.6%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -5.7b remaining (-47.2%)

Threshold costs -5.7b (-47.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	cosTheta
3.0ms	alpha

Results

Accuracy	Segments	Branch
62.6%	1	`cosTheta`
62.6%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	403
1	71	399
2	79	399
3	87	399
4	88	399

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

soundness1.4s (12.5%)

Rules

1596×	`times-frac`
1554×	`associate-/r*`
1532×	`associate-r`
1368×	`fma-define`
1362×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1240	56954
1	3345	49612
0	46	647
1	179	603
2	680	603
3	3727	603
0	51	806
1	969	785
0	842	44336
1	2169	44336
0	32	450
1	539	450
2	5988	450
0	920	31873
1	2411	26629

Stop Event

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

Compiler

Compiled 851 to 227 computations (73.3% saved)

preprocess57.0ms (0.5%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 780 to 378 computations (51.5% saved)

analyze632.0ms (5.7%)

sample2.0s (18.1%)

preprocess81.0ms (0.7%)

explain231.0ms (2.1%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify73.0ms (0.7%)

localize111.0ms (1%)

series156.0ms (1.4%)

rewrite435.0ms (4%)

simplify424.0ms (3.9%)

eval66.0ms (0.6%)

prune282.0ms (2.6%)

simplify97.0ms (0.9%)

localize260.0ms (2.4%)

series192.0ms (1.7%)

rewrite170.0ms (1.5%)

simplify695.0ms (6.3%)

eval181.0ms (1.6%)

prune533.0ms (4.8%)

simplify90.0ms (0.8%)

localize245.0ms (2.2%)

series56.0ms (0.5%)

rewrite121.0ms (1.1%)

simplify258.0ms (2.3%)

eval175.0ms (1.6%)

prune199.0ms (1.8%)

simplify71.0ms (0.6%)

localize203.0ms (1.8%)

series189.0ms (1.7%)

rewrite140.0ms (1.3%)

simplify605.0ms (5.5%)

eval127.0ms (1.2%)

prune214.0ms (1.9%)

regimes114.0ms (1%)

regimes71.0ms (0.6%)

regimes31.0ms (0.3%)

regimes23.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.4s (12.5%)

preprocess57.0ms (0.5%)

end0.0ms (0%)

Profiling