Metrics for GTR1 distribution

analyze70.0ms (0.7%)

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
50%	0.3%	0.3%	99.4%	0%	0%	0%	5
50%	0.3%	0.3%	99.4%	0%	0%	0%	6
75%	0.5%	0.2%	99.4%	0%	0%	0%	7
75%	0.5%	0.2%	99.4%	0%	0%	0%	8
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	9
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	10
93.7%	0.6%	0%	99.4%	0%	0%	0%	11
93.7%	0.6%	0%	99.4%	0%	0%	0%	12

Compiler

Compiled 40 to 23 computations (42.5% saved)

sample1.5s (14.4%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 916.0ms

ival-mult: 291.0ms (31.8% of total)

...in/eval/compile.rkt:71:19: 150.0ms (16.4% of total)

ival-log: 130.0ms (14.2% of total)

ival-<=: 102.0ms (11.1% of total)

ival-div: 71.0ms (7.7% of total)

ival-sub: 50.0ms (5.5% of total)

ival-add: 46.0ms (5% of total)

ival-and: 31.0ms (3.4% of total)

ival-pi: 30.0ms (3.3% of total)

...in/eval/compile.rkt:70:19: 9.0ms (1% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

preprocess80.0ms (0.8%)

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)

explain201.0ms (2%)

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	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Results

85.0ms

512×

valid

Compiler

Compiled 238 to 56 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 16.0ms (41% of total)

ival-log: 10.0ms (25.6% of total)

ival-div: 4.0ms (10.2% of total)

ival-add: 3.0ms (7.7% of total)

ival-sub: 3.0ms (7.7% of total)

ival-pi: 2.0ms (5.1% of total)

ival-true: 1.0ms (2.6% of total)

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

...in/eval/compile.rkt:70:19: 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
▶	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶	98.5%	(/.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

▶

98.5%

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

▶

98.5%

(/.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)))

localize116.0ms (1.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
✓	accuracy	99.4%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓	accuracy	98.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	99.9%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	accuracy	99.8%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	98.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.6%	(.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	98.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Results

75.0ms

256×

valid

Compiler

Compiled 253 to 27 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 18.0ms (38.2% of total)

ival-div: 11.0ms (23.4% of total)

ival-log: 8.0ms (17% of total)

ival-fma: 5.0ms (10.6% of total)

ival-add: 2.0ms (4.2% of total)

ival-pi: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series104.0ms (1%)

Counts

14 → 252

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

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

Calls

63 calls:

Time	Variable		Point	Expression
39.0ms	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)))
5.0ms	alpha	@	0	(/ (/ (+ (* alpha alpha) -1) (* (PI) (log (* alpha alpha)))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
3.0ms	cosTheta	@	0	(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)

rewrite414.0ms (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	510
1	539	510
2	5988	510

Stop Event

1×	node limit

Counts

14 → 510

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

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

simplify474.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1602×	`times-frac`
1422×	`associate-l`
704×	`associate-*r/`
606×	`associate-*l/`
478×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	873	44847
1	2234	44847

Stop Event

1×	node limit

Counts

762 → 383

Calls

Call 1

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

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

eval86.0ms (0.8%)

Compiler: Compiled 19496 to 2331 computations (88% saved)

prune108.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	646	21	667
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	648	22	670

Accuracy

100.0%

Counts

670 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.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))))))
▶	98.6%	(/.f32 (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
	97.9%	(/.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 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	96.5%	(/.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))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	74.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #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))))
▶	97.9%	(/.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))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal 6 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	30.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #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 (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))))
	98.4%	(/.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)))
	98.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶	98.3%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	98.0%	(/.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)))
	98.1%	(/.f32 (log1p.f32 (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	66.0%	(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))

Compiler

Compiled 1108 to 671 computations (39.4% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	128	(.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)))
✓	cost-diff	6400	(expm1.f32 (log1p.f32 (PI.f32)))
✓	cost-diff	6400	(.f32 (expm1.f32 (log1p.f32 (PI.f32))) (log.f32 (.f32 alpha alpha)))
✓	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	(log.f32 (*.f32 alpha alpha))
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(+.f32 alpha #s(literal -1 binary32))
✓	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
	cost-diff	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	32	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
✓	cost-diff	32	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))
✓	cost-diff	3232	(pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32))
✓	cost-diff	3232	(/.f32 (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))

Rules

1716×	`fma-define`
1108×	`div-sub`
638×	`*-commutative`
602×	`associate-/l*`
544×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	1615
1	160	1583
2	561	1559
3	2232	1559
4	4758	1559

Stop Event

1×	node limit

Calls

Call 1

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

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

localize675.0ms (6.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	98.9%	(/.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))))
✓	accuracy	98.8%	(.f32 (expm1.f32 (log1p.f32 (PI.f32))) (log.f32 (.f32 alpha alpha)))
✓	accuracy	96.9%	(expm1.f32 (log1p.f32 (PI.f32)))
✓	accuracy	99.9%	(/.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	99.0%	(.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	98.8%	(/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓	accuracy	99.4%	(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓	accuracy	98.9%	(/.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))))))
	accuracy	98.7%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	98.6%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
✓	accuracy	99.9%	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
	accuracy	99.8%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	99.9%	(/.f32 (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓	accuracy	99.2%	(/.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓	accuracy	99.2%	(pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32))
✓	accuracy	99.0%	(.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))

Results

135.0ms

256×

valid

Compiler

Compiled 449 to 47 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 29.0ms (38.9% of total)

ival-div: 14.0ms (18.8% of total)

ival-log: 7.0ms (9.4% of total)

ival-add: 6.0ms (8.1% of total)

ival-fma: 5.0ms (6.7% of total)

ival-expm1: 3.0ms (4% of total)

ival-log1p: 3.0ms (4% of total)

ival-pow: 3.0ms (4% of total)

ival-pi: 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)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series112.0ms (1.1%)

Counts

22 → 340

Calls

Call 1

Inputs
#<alt (/.f32 (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))>
#<alt (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32))>
#<alt (.f32 (PI.f32) (/.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))>
#<alt (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))>
#<alt (+.f32 alpha #s(literal 1 binary32))>
#<alt (+.f32 alpha #s(literal -1 binary32))>
#<alt (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (log.f32 alpha)>
#<alt (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (log.f32 (.f32 alpha alpha)))>
#<alt (expm1.f32 (log1p.f32 (PI.f32)))>
#<alt (.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)))>
#<alt (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (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 (neg.f32 cosTheta) cosTheta))))>
#<alt (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))>
#<alt (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))>
#<alt (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) 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 (.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))))>

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

87 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	-inf	(* 2 (log alpha))
5.0ms	alpha	@	-inf	(/ (pow (* (PI) (/ (* 2 (log alpha)) (+ (* alpha alpha) -1))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
5.0ms	alpha	@	-inf	(pow (* (PI) (/ (* 2 (log alpha)) (+ (* alpha alpha) -1))) -1)
5.0ms	alpha	@	inf	(* 2 (log alpha))
4.0ms	alpha	@	0	(* 2 (log alpha))

rewrite223.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

394×	`log1p-expm1-u`
392×	`expm1-log1p-u`
378×	`add-exp-log`
375×	`add-log-exp`
375×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	884
1	988	831

Stop Event

1×	node limit

Counts

22 → 426

Calls

Call 1

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

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

simplify486.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1352×	`fma-define`
712×	`*-commutative`
688×	`distribute-lft-in`
654×	`distribute-rgt-in`
386×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1375	59546
1	3781	52184

Stop Event

1×	node limit

Counts

766 → 846

Calls

Call 1

Inputs
(/.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 #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 #s(literal -1 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 (.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 #s(literal -1 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 #s(literal -1 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 (/.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 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 #s(literal -1 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 #s(literal -1 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)))))))))
(/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.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 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))))))) (pow.f32 alpha #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(-.f32 (+.f32 (.f32 #s(literal -1/2 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 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (.f32 #s(literal -1 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 (-.f32 (/.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 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))))))) (pow.f32 alpha #s(literal 2 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(-.f32 (+.f32 (.f32 #s(literal -1/2 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 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (.f32 #s(literal -1 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 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))) (.f32 #s(literal -1 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 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.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 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))))))) (pow.f32 alpha #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))
(/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))
(-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #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)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))))
(-.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))
(-.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 alpha #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
(+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (PI.f32) (log.f32 alpha)))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))))))
(/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 alpha))))
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(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (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))))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (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))))
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(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(-.f32 (/.f32 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (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 (+.f32 alpha #s(literal 1 binary32)) #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))))
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(.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))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (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 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (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)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (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)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (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 (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))
(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))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (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))))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)))

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

eval309.0ms (3%)

Compiler: Compiled 43606 to 5063 computations (88.4% saved)

prune397.0ms (3.9%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1293	20	1313
Fresh	13	3	16
Picked	4	1	5
Done	0	1	1
Total	1310	25	1335

Accuracy

100.0%

Counts

1335 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.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))))
▶	97.6%	(/.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 (neg.f32 cosTheta) cosTheta))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	96.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.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))))
✓	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))))
✓	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	95.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
▶	98.5%	(/.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))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶	98.4%	(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	92.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))) (/.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)))
	97.8%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	97.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
	98.0%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	98.0%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (+.f32 alpha #s(literal 1 binary32))) (/.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)))
	98.2%	(/.f32 (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	97.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))
	66.0%	(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
	97.7%	(.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))))))
	95.6%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))
▶	95.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))

Compiler

Compiled 1143 to 732 computations (36% saved)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
	cost-diff	0	(PI.f32)
	cost-diff	0	(+.f32 alpha #s(literal 1 binary32))
✓	cost-diff	64	(*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))
✓	cost-diff	0	(fma.f32 alpha alpha #s(literal 1 binary32))
	cost-diff	32	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
✓	cost-diff	96	(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))
✓	cost-diff	128	(-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
	cost-diff	0	(PI.f32)
✓	cost-diff	32	(log.f32 (/.f32 #s(literal 1 binary32) alpha))
✓	cost-diff	64	(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
✓	cost-diff	64	(.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 (PI.f32) (log.f32 alpha))
✓	cost-diff	0	(-.f32 alpha #s(literal 1 binary32))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) alpha)
	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

1124×	`fma-define`
732×	`sub-neg`
708×	`associate-/l*`
644×	`associate-/r*`
638×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	1532
1	171	1472
2	630	1450
3	3297	1448
4	7395	1448

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

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

localize276.0ms (2.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
✓	accuracy	98.8%	(*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha)
	accuracy	98.7%	(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓	accuracy	98.3%	(+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
	accuracy	99.8%	(log.f32 (*.f32 alpha alpha))
✓	accuracy	99.0%	(/.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 (neg.f32 cosTheta) cosTheta))))
	accuracy	98.8%	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
✓	accuracy	63.2%	(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))
✓	accuracy	99.6%	(log.f32 (/.f32 #s(literal 1 binary32) alpha))
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	98.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	accuracy	100.0%	(PI.f32)
✓	accuracy	98.9%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 alpha)))
✓	accuracy	98.8%	(*.f32 (PI.f32) (log.f32 alpha))
✓	accuracy	98.6%	(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
	accuracy	99.6%	(.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	98.9%	(/.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	90.4%	(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))

Results

175.0ms

256×

valid

Compiler

Compiled 461 to 54 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 72.0ms (56% of total)

ival-div: 12.0ms (9.3% of total)

ival-log: 12.0ms (9.3% of total)

ival-add: 11.0ms (8.5% of total)

ival-pow: 9.0ms (7% of total)

ival-fma: 5.0ms (3.9% of total)

ival-sub: 5.0ms (3.9% 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)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series125.0ms (1.2%)

Counts

22 → 294

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

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

Calls

81 calls:

Time	Variable		Point	Expression
36.0ms	alpha	@	0	(log (pow (pow alpha 2) (PI)))
25.0ms	alpha	@	inf	(log (pow (pow alpha 2) (PI)))
10.0ms	alpha	@	-inf	(* (PI) (* -2 (log (/ 1 alpha))))
7.0ms	alpha	@	-inf	(/ (- (* alpha alpha) 1) (* (* (PI) (* -2 (log (/ 1 alpha)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
3.0ms	cosTheta	@	-inf	(/ (+ (* (+ alpha 1) alpha) (* (+ alpha 1) -1)) (* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta))))))

rewrite202.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`log1p-expm1-u`
414×	`expm1-log1p-u`
406×	`add-exp-log`
402×	`add-log-exp`
402×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	671
1	1107	643

Stop Event

1×	node limit

Counts

22 → 422

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

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

simplify449.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

912×	`associate-/l*`
896×	`fma-define`
600×	`distribute-lft-in`
564×	`distribute-rgt-in`
516×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1198	44042
1	3069	36895

Stop Event

1×	node limit

Counts

716 → 698

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

eval124.0ms (1.2%)

Compiler: Compiled 34816 to 4454 computations (87.2% saved)

prune255.0ms (2.5%)

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1072	22	1094
Fresh	9	9	18
Picked	3	2	5
Done	0	2	2
Total	1084	35	1119

Accuracy

100.0%

Counts

1119 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))
	98.3%	(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	95.5%	(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
	96.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.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))))
▶	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 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))))
✓	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	95.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
▶	98.5%	(/.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))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.7%	(/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	92.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))) (/.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)))
	97.8%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	97.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
	98.0%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (+.f32 alpha #s(literal 1 binary32))) (/.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)))
▶	95.6%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))
	95.7%	(.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) (.f32 alpha (+.f32 alpha #s(literal 1 binary32)))) (.f32 (PI.f32) (log.f32 alpha))))
	95.1%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 alpha))))
✓	95.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
	95.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
	95.6%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (PI.f32)))))
▶	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (PI.f32) (log.f32 alpha))))
	95.1%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (log1p.f32 (expm1.f32 (+.f32 alpha #s(literal -1 binary32))))) (*.f32 (PI.f32) (log.f32 alpha))))
	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32))))) (*.f32 (PI.f32) (log.f32 alpha))))
	46.2%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
	95.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (-.f32 alpha #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 alpha))))
	46.6%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
▶	64.7%	(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 alpha))))
	95.5%	(.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
	95.4%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))
	95.5%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))

Compiler

Compiled 1389 to 940 computations (32.3% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

1508×	`distribute-lft-in`
1470×	`distribute-rgt-in`
790×	`associate-/l*`
720×	`fma-define`
706×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	1269
1	126	1245
2	448	1245
3	2389	1130
4	7588	1130

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

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

localize361.0ms (3.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) alpha)))
✓	accuracy	99.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (log.f32 (sqrt.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) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) alpha))))))
	accuracy	93.0%	(PI.f32)
	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	99.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
✓	accuracy	98.9%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))
	accuracy	93.0%	(PI.f32)
✓	accuracy	99.0%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (*.f32 (PI.f32) (log.f32 alpha)))
	accuracy	98.9%	(*.f32 (PI.f32) (log.f32 alpha))
✓	accuracy	98.7%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
	accuracy	93.0%	(PI.f32)
	accuracy	100.0%	(log.f32 alpha)
✓	accuracy	99.1%	(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	accuracy	98.9%	(*.f32 (PI.f32) (log.f32 alpha))
	accuracy	93.0%	(PI.f32)
	accuracy	99.4%	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓	accuracy	99.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	accuracy	93.0%	(PI.f32)
✓	accuracy	90.8%	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Results

153.0ms	19×	5	exit
95.0ms	237×	0	valid

Compiler

Compiled 359 to 41 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 118.0ms (67.2% of total)

ival-div: 18.0ms (10.3% of total)

ival-log: 11.0ms (6.3% of total)

adjust: 7.0ms (4% of total)

ival-sub: 6.0ms (3.4% of total)

ival-pow: 6.0ms (3.4% of total)

ival-sqrt: 3.0ms (1.7% of total)

ival-add: 3.0ms (1.7% of total)

ival-fma: 2.0ms (1.1% of total)

ival-pi: 1.0ms (0.6% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

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

series85.0ms (0.8%)

Counts

17 → 199

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
16.0ms	alpha	@	-inf	(* (PI) (* -2 (* 2 (log (sqrt (/ 1 alpha))))))
15.0ms	alpha	@	0	(* (PI) (* -2 (* 2 (log (sqrt (/ 1 alpha))))))
12.0ms	alpha	@	inf	(* (PI) (* -2 (* 2 (log (sqrt (/ 1 alpha))))))
3.0ms	alpha	@	inf	(/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
3.0ms	alpha	@	-inf	(* 1/2 (/ -1 (* (PI) (log alpha))))

rewrite263.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

351×	`log1p-expm1-u`
351×	`expm1-log1p-u`
348×	`add-exp-log`
345×	`add-log-exp`
343×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	593
1	786	557

Stop Event

1×	node limit

Counts

17 → 301

Calls

Call 1

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

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

simplify493.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-r`
1144×	`associate-l`
1064×	`associate-/r*`
494×	`times-frac`
470×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	972	30047
1	2295	25741

Stop Event

1×	node limit

Counts

500 → 571

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

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

eval108.0ms (1%)

Compiler: Compiled 27070 to 4103 computations (84.8% saved)

prune347.0ms (3.4%)

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	994	14	1008
Fresh	9	17	26
Picked	3	2	5
Done	0	4	4
Total	1006	37	1043

Accuracy

100.0%

Counts

1043 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (+.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))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 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))))
✓	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
	95.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(literal 1 binary32)))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
	97.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
	64.7%	(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
	64.7%	(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
	95.2%	(.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (.f32 (PI.f32) (log.f32 alpha)) (.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) #s(literal -1 binary32)))
	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (PI.f32)) (log.f32 alpha)))
	95.0%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) alpha) (+.f32 alpha #s(literal 1 binary32)))) (/.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)))))
	64.7%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
	95.7%	(.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) (.f32 alpha (+.f32 alpha #s(literal 1 binary32)))) (.f32 (PI.f32) (log.f32 alpha))))
	95.1%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 alpha))))
✓	95.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
	95.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
	95.6%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (PI.f32)))))
	95.1%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 alpha (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))) (.f32 (PI.f32) (log.f32 alpha))))
	89.4%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
✓	95.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (.f32 (PI.f32) (log.f32 alpha))))
	95.1%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (log1p.f32 (expm1.f32 (+.f32 alpha #s(literal -1 binary32))))) (*.f32 (PI.f32) (log.f32 alpha))))
	46.2%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
	95.5%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (-.f32 alpha #s(literal 1 binary32))) (.f32 (PI.f32) (log.f32 alpha))))
	46.6%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
	95.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))))
	95.8%	(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))) (PI.f32))))
	61.8%	(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
	64.7%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
	95.4%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))))
	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 alpha (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) (.f32 (PI.f32) (log.f32 alpha))))))
	95.2%	(.f32 #s(literal 1/2 binary32) (.f32 alpha (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) (log.f32 alpha)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)))))

Compiler

Compiled 2301 to 827 computations (64.1% saved)

regimes104.0ms (1%)

Counts

80 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

24.0ms	(*.f32 alpha alpha)
24.0ms	cosTheta
23.0ms	alpha
22.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes212.0ms (2.1%)

Counts

77 → 1

Calls

Call 1

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

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:

140.0ms	cosTheta
23.0ms	(/.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))))
21.0ms	(*.f32 alpha alpha)
21.0ms	alpha

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta`
98.5%	1	`alpha`
98.5%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.5%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes55.0ms (0.5%)

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

13.0ms	(*.f32 alpha alpha)
13.0ms	alpha
13.0ms	(/.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))))
12.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta`
98.5%	1	`alpha`
98.5%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.5%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes36.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

9.0ms	alpha
9.0ms	(*.f32 alpha alpha)
8.0ms	(/.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))))
8.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta`
98.4%	1	`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))))`
98.4%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes25.0ms (0.2%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`cosTheta`
97.9%	1	`alpha`
97.9%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes21.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

7.0ms	(*.f32 alpha alpha)
6.0ms	alpha
6.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.9%	1	`cosTheta`
97.9%	1	`alpha`
97.9%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes83.0ms (0.8%)

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

70.0ms	alpha
6.0ms	cosTheta
6.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
95.7%	1	`cosTheta`
95.7%	1	`alpha`
95.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes19.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	alpha
6.0ms	(*.f32 alpha alpha)
5.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.6%	1	`cosTheta`
95.6%	1	`alpha`
95.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	cosTheta
4.0ms	alpha

Results

Accuracy	Segments	Branch
95.5%	1	`cosTheta`
95.5%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	alpha
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.4%	1	`cosTheta`
95.4%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	cosTheta
3.0ms	alpha

Results

Accuracy	Segments	Branch
64.7%	1	`cosTheta`
64.7%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

3.0ms	cosTheta
2.0ms	alpha

Results

Accuracy	Segments	Branch
64.7%	1	`alpha`
64.7%	1	`cosTheta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative`
24×	`+-commutative`
14×	`sub-neg`
10×	`neg-sub0`
8×	`neg-mul-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	797
1	110	787
2	120	783
3	134	783
4	139	783
5	142	783
6	143	783

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness802.0ms (7.8%)

Rules

1602×	`times-frac`
1422×	`associate-l`
1368×	`fma-define`
1183×	`log1p-expm1-u`
1072×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	873	44847
1	2234	44847
0	32	510
1	539	510
2	5988	510
0	57	671
1	1107	643
0	46	647
1	179	603
2	680	603
3	3727	603

Stop Event

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

Compiler

Compiled 1123 to 294 computations (73.8% saved)

preprocess95.0ms (0.9%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1558 to 804 computations (48.4% saved)

analyze70.0ms (0.7%)

sample1.5s (14.4%)

preprocess80.0ms (0.8%)

explain201.0ms (2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify73.0ms (0.7%)

localize116.0ms (1.1%)

series104.0ms (1%)

rewrite414.0ms (4%)

simplify474.0ms (4.6%)

eval86.0ms (0.8%)

prune108.0ms (1.1%)

simplify73.0ms (0.7%)

localize675.0ms (6.6%)

series112.0ms (1.1%)

rewrite223.0ms (2.2%)

simplify486.0ms (4.7%)

eval309.0ms (3%)

prune397.0ms (3.9%)

simplify93.0ms (0.9%)

localize276.0ms (2.7%)

series125.0ms (1.2%)

rewrite202.0ms (2%)

simplify449.0ms (4.4%)

eval124.0ms (1.2%)

prune255.0ms (2.5%)

simplify109.0ms (1.1%)

localize361.0ms (3.5%)

series85.0ms (0.8%)

rewrite263.0ms (2.6%)

simplify493.0ms (4.8%)

eval108.0ms (1%)

prune347.0ms (3.4%)

regimes104.0ms (1%)

regimes212.0ms (2.1%)

regimes55.0ms (0.5%)

regimes36.0ms (0.4%)

regimes25.0ms (0.2%)

regimes21.0ms (0.2%)

regimes83.0ms (0.8%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

simplify15.0ms (0.2%)

soundness802.0ms (7.8%)

preprocess95.0ms (0.9%)

end0.0ms (0%)

Profiling