GTR1 distribution

Time bar (total: 10.3s)

analyze85.0ms (0.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.6%99.4%0%0%0%0
0%0%0.6%99.4%0%0%0%1
0%0%0.6%99.4%0%0%0%2
0%0%0.6%99.4%0%0%0%3
0%0%0.6%99.4%0%0%0%4
50%0.3%0.3%99.4%0%0%0%5
50%0.3%0.3%99.4%0%0%0%6
75%0.5%0.2%99.4%0%0%0%7
75%0.5%0.2%99.4%0%0%0%8
87.5%0.6%0.1%99.4%0%0%0%9
87.5%0.6%0.1%99.4%0%0%0%10
93.7%0.6%0%99.4%0%0%0%11
93.7%0.6%0%99.4%0%0%0%12
Compiler

Compiled 41 to 22 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 15.0ms (27.3% of total)
ival-log: 10.0ms (18.2% of total)
...c/correct-round.rkt:125:19: 8.0ms (14.6% of total)
ival-<=: 8.0ms (14.6% of total)
ival-add: 4.0ms (7.3% of total)
ival-div: 3.0ms (5.5% of total)
ival-sub: 3.0ms (5.5% of total)
ival-pi: 2.0ms (3.6% of total)
ival-and: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

sample2.4s (22.9%)

Results
1.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 394.0ms (28.9% of total)
...c/correct-round.rkt:125:19: 213.0ms (15.6% of total)
ival-<=: 190.0ms (13.9% of total)
ival-log: 174.0ms (12.8% of total)
ival-add: 142.0ms (10.4% of total)
ival-div: 81.0ms (5.9% of total)
ival-pi: 80.0ms (5.9% of total)
ival-sub: 44.0ms (3.2% of total)
ival-and: 28.0ms (2.1% of total)
const: 12.0ms (0.9% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess107.0ms (1%)

Algorithm
1×egg-herbie
Rules
1368×fma-define
1072×distribute-lft-neg-in
946×distribute-rgt-neg-in
922×times-frac
736×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046647
1179603
2680603
33727603
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)

explain171.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(log.f32 (*.f32 alpha alpha))
10-0-(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
00-0-(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
00-0-(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
00-0-(*.f32 alpha alpha)
00-0-(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
00-0-(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
00-0-(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
00-0-alpha
00-0-cosTheta
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
Results
102.0ms512×0valid
Compiler

Compiled 214 to 41 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 50.0ms (70.4% of total)
ival-log: 7.0ms (9.9% of total)
ival-div: 4.0ms (5.6% of total)
ival-sub: 3.0ms (4.2% of total)
ival-add: 3.0ms (4.2% of total)
ival-pi: 2.0ms (2.8% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 66 to 22 computations (66.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶98.4%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
▶98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Compiler

Compiled 73 to 40 computations (45.2% saved)

localize203.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(log.f32 (*.f32 alpha alpha))
✓cost-diff0
(PI.f32)
✓cost-diff0
(fma.f32 alpha alpha #s(literal -1 binary32))
✓cost-diff0
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓cost-diff0
(fma.f32 alpha alpha #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
✓cost-diff0
(/.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-diff0
(log.f32 (*.f32 alpha alpha))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓cost-diff0
(*.f32 alpha alpha)
✓accuracy99.6%
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
✓accuracy99.3%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓accuracy99.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓accuracy99.9%
(/.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)))
✓accuracy99.6%
(log.f32 (*.f32 alpha alpha))
✓accuracy99.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
✓accuracy99.0%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓accuracy99.6%
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
✓accuracy99.3%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓accuracy99.1%
(/.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))))
✓accuracy99.0%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
Rules
1204×distribute-neg-in
1052×distribute-rgt-neg-in
1004×distribute-lft-neg-in
826×associate-*r*
708×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032942
183942
2221942
3865942
43494942
55124942
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
#s(literal 1 binary32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
(PI.f32)
(*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))
#s(literal 1 binary32)
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
cosTheta
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
#s(literal 1 binary32)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))
(PI.f32)
(*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))
(*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))
cosTheta
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
Results
83.0ms256×0valid
Compiler

Compiled 254 to 26 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 22.0ms (46.9% of total)
ival-div: 7.0ms (14.9% of total)
ival-fma: 6.0ms (12.8% of total)
ival-add: 5.0ms (10.7% of total)
ival-log: 4.0ms (8.5% of total)
ival-pi: 1.0ms (2.1% of total)
ival-sub: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series108.0ms (1%)

Counts
14 → 252
Calls
Call 1
Inputs
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))>
#<alt (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)>
#<alt (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))>
#<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 (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))>
#<alt (*.f32 alpha alpha)>
#<alt (PI.f32)>
#<alt (fma.f32 alpha alpha #s(literal -1 binary32))>
Outputs
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
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#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))>
#<alt (*.f32 #s(literal 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))>
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#<alt (-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
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#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))>
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#<alt (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))>
#<alt (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))>
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#<alt (/.f32 #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) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 alpha #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt #s(literal -1 binary32)>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
Calls

63 calls:

TimeVariablePointExpression
28.0ms
alpha
@0
(* (PI) (log (* alpha alpha)))
11.0ms
cosTheta
@0
(* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))
9.0ms
alpha
@inf
(* (PI) (log (* alpha alpha)))
2.0ms
alpha
@inf
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms
cosTheta
@inf
(* (PI) (* (log (* alpha alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))

rewrite425.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
1183×log1p-expm1-u
356×associate-*r*
294×times-frac
282×associate-*l*
173×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032510
1539510
25988510
Stop Event
1×node limit
Counts
14 → 510
Calls
Call 1
Inputs
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(log.f32 (*.f32 alpha alpha))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 alpha alpha)
(PI.f32)
(fma.f32 alpha alpha #s(literal -1 binary32))
Outputs
(+.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha)))
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(-.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (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 (/.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 (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) (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(*.f32 (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)))))) (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)))
(*.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 (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 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 (sqrt.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 (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(*.f32 (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 (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 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (neg.f32 (PI.f32)))) (/.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)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 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 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
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(cbrt.f32 (pow.f32 alpha #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(log1p.f32 (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))

simplify295.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1644×times-frac
892×*-commutative
708×associate-*r/
600×associate-*l/
562×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087024825
1223524825
Stop Event
1×node limit
Counts
762 → 369
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(-.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
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(*.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 (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 (PI.f32) (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (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) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(neg.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (neg.f32 (PI.f32)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (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)))
(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 (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))))
(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 (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 cosTheta (pow.f32 alpha #s(literal 2 binary32))) (*.f32 cosTheta #s(literal -1 binary32)))
(+.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 cosTheta (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 cosTheta (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) cosTheta) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))
(pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32)))
(-.f32 (fma.f32 (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)))
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (sqrt.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(sqrt.f32 (pow.f32 alpha #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 alpha #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 alpha #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 alpha #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(log1p.f32 (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
Outputs
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
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eval66.0ms (0.6%)

Compiler

Compiled 18710 to 2235 computations (88.1% saved)

prune111.0ms (1.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New63121652
Fresh000
Picked303
Done000
Total63421655
Accuracy
100.0%
Counts
655 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
98.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
97.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
▶97.7%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
97.4%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.3%
(/.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))))
98.4%
(/.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))))
98.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
74.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.2%
(/.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)))
98.3%
(/.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)))
98.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 alpha 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)))
98.3%
(/.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)))
▶98.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶98.1%
(/.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)))
65.0%
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
Compiler

Compiled 1052 to 654 computations (37.8% saved)

localize367.0ms (3.6%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 alpha #s(literal -1 binary32))
✓cost-diff0
(+.f32 alpha #s(literal 1 binary32))
✓cost-diff64
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓cost-diff64
(*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓cost-diff64
(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
✓cost-diff64
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
✓cost-diff64
(*.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)))))))
✓cost-diff64
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
cost-diff0
(log.f32 (*.f32 alpha alpha))
cost-diff0
(PI.f32)
✓cost-diff0
(+.f32 alpha #s(literal -1 binary32))
✓cost-diff0
(+.f32 alpha #s(literal 1 binary32))
cost-diff0
(log.f32 (*.f32 alpha alpha))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(log.f32 alpha)
✓cost-diff0
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
cost-diff0
(PI.f32)
cost-diff0
(fma.f32 alpha alpha #s(literal -1 binary32))
✓accuracy99.9%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
✓accuracy98.9%
(*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
✓accuracy98.6%
(*.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)))))
✓accuracy98.5%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
✓accuracy99.9%
(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
✓accuracy99.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
✓accuracy99.3%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓accuracy99.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
accuracy98.9%
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
✓accuracy98.5%
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
✓accuracy99.7%
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
accuracy99.6%
(log.f32 (*.f32 alpha alpha))
✓accuracy99.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
accuracy99.0%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓accuracy99.6%
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
✓accuracy99.3%
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
✓accuracy99.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
Rules
1438×div-sub
1174×fma-define
616×associate-/r*
532×associate-*r*
526×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0511632
11611504
26781486
331321486
447451486
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (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 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 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)
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#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))))))
(PI.f32)
(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 alpha)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(literal 1 binary32)
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(*.f32 (+.f32 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)))))
(+.f32 alpha #s(literal 1 binary32))
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))))
(+.f32 alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (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 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 1/2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
(*.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 2 binary32) (*.f32 (*.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 (log.f32 alpha) (*.f32 (*.f32 #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))) (PI.f32)))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 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)) (pow.f32 cosTheta #s(literal 2 binary32)) #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)) (pow.f32 cosTheta #s(literal 2 binary32)))
cosTheta
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.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) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 cosTheta)
cosTheta
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #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 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (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 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))) (log.f32 (*.f32 alpha alpha))))
(*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (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 (*.f32 alpha alpha))))
(*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(PI.f32)
(*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))
cosTheta
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 2 binary32)
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))
(PI.f32)
(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 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 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal 1 binary32)
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (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 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 1/2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)))
(*.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)) #s(literal 1/2 binary32))
(+.f32 alpha #s(literal 1 binary32))
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))))
(*.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))
(/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 alpha))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 cosTheta cosTheta)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
Results
145.0ms256×0valid
Compiler

Compiled 454 to 45 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 33.0ms (39.3% of total)
ival-div: 12.0ms (14.3% of total)
ival-pi: 11.0ms (13.1% of total)
ival-log: 8.0ms (9.5% of total)
ival-fma: 7.0ms (8.3% of total)
ival-add: 6.0ms (7.2% of total)
ival-pow: 3.0ms (3.6% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series132.0ms (1.3%)

Counts
21 → 361
Calls
Call 1
Inputs
#<alt (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 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 (*.f32 #s(literal 2 binary32) (log.f32 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))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))>
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))>
#<alt (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))>
#<alt (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))>
#<alt (*.f32 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
#<alt (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))>
#<alt (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))>
#<alt (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))>
#<alt (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.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)))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (log.f32 alpha)>
#<alt (+.f32 alpha #s(literal 1 binary32))>
#<alt (+.f32 alpha #s(literal -1 binary32))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
Outputs
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))>
#<alt (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))>
#<alt (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.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))))))>
#<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) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (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 (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (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 (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (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 (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 2 binary32))))))>
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#<alt (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))>
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#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))>
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#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
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#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.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)))))))>
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#<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)))))))>
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#<alt (-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))>
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#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))>
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#<alt (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 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 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
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#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))>
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#<alt (+.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) (+.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.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) (+.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (pow.f32 alpha #s(literal 2 binary32)))) (+.f32 (*.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) (+.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))>
#<alt (+.f32 (*.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 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 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)))))))>
#<alt (+.f32 (*.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 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 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)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #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 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 4 binary32))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #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 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (*.f32 #s(literal 2 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 #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 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
Calls

96 calls:

TimeVariablePointExpression
12.0ms
alpha
@-inf
(* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))
7.0ms
alpha
@-inf
(* (PI) (* (* 2 (log alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))
5.0ms
alpha
@inf
(* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))
5.0ms
alpha
@0
(* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))
5.0ms
cosTheta
@0
(* (PI) (* (* 2 (log alpha)) (+ 1 (* cosTheta (* (+ (* alpha alpha) -1) cosTheta)))))

rewrite165.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
420×log1p-expm1-u
420×expm1-log1p-u
403×add-exp-log
400×add-cube-cbrt
399×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051866
1973822
Stop Event
1×node limit
Counts
21 → 387
Calls
Call 1
Inputs
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 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 2 binary32) (log.f32 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))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
(*.f32 (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 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.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 #s(literal 2 binary32) (log.f32 alpha))
(log.f32 alpha)
(+.f32 alpha #s(literal 1 binary32))
(+.f32 alpha #s(literal -1 binary32))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 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 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 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)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 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)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 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)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 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)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (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 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 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)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(exp.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32)))
(-.f32 (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))))
(exp.f32 (log.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 1 binary32)))
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(pow.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha))) (+.f32 alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha))))))
(cbrt.f32 (pow.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))))
(log1p.f32 (expm1.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))))
(exp.f32 (log.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.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 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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 (sqrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) (sqrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(pow.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))) #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 (/.f32 #s(literal 1 binary32) (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)))) #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 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(exp.f32 (log.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) #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 (log.f32 (sqrt.f32 (pow.f32 alpha #s(literal 2 binary32)))) (log.f32 (sqrt.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(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))
(log.f32 (pow.f32 alpha #s(literal 2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 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)))
(fma.f32 #s(literal 1 binary32) (log.f32 alpha) (log.f32 alpha))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 alpha)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 alpha)) (log.f32 alpha))
(fma.f32 (sqrt.f32 (log.f32 alpha)) (sqrt.f32 (log.f32 alpha)) (log.f32 alpha))
(+.f32 #s(literal 0 binary32) (log.f32 alpha))
(+.f32 (log.f32 (sqrt.f32 alpha)) (log.f32 (sqrt.f32 alpha)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))) (log.f32 (cbrt.f32 alpha)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 alpha))) #s(literal 1 binary32))
(*.f32 (log.f32 alpha) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 alpha))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 alpha)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 alpha)))
(*.f32 (sqrt.f32 (log.f32 alpha)) (sqrt.f32 (log.f32 alpha)))
(pow.f32 (log.f32 alpha) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 alpha)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 alpha)) #s(literal 2 binary32))
(cbrt.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 alpha)))
(log1p.f32 (+.f32 alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 (log.f32 alpha)) #s(literal 1 binary32)))
(-.f32 alpha #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))) (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 alpha #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal 1 binary32))))
(exp.f32 (log1p.f32 alpha))
(exp.f32 (*.f32 (log1p.f32 alpha) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal 1 binary32))
(-.f32 alpha #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 alpha))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)) #s(literal 2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (pow.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32)))

simplify446.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
1068×fma-define
706×distribute-lft-in
684×distribute-rgt-in
682×associate-*r/
662×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124250255
1347246422
Stop Event
1×node limit
Counts
748 → 778
Calls
Call 1
Inputs
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(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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 (sqrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) (sqrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(pow.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))) #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 (/.f32 #s(literal 1 binary32) (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)))) #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 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)) (log.f32 alpha)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(exp.f32 (log.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) #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 (log.f32 (sqrt.f32 (pow.f32 alpha #s(literal 2 binary32)))) (log.f32 (sqrt.f32 (pow.f32 alpha #s(literal 2 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) #s(literal 1 binary32))
(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))
(log.f32 (pow.f32 alpha #s(literal 2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 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)))
(fma.f32 #s(literal 1 binary32) (log.f32 alpha) (log.f32 alpha))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 alpha)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 alpha)) (log.f32 alpha))
(fma.f32 (sqrt.f32 (log.f32 alpha)) (sqrt.f32 (log.f32 alpha)) (log.f32 alpha))
(+.f32 #s(literal 0 binary32) (log.f32 alpha))
(+.f32 (log.f32 (sqrt.f32 alpha)) (log.f32 (sqrt.f32 alpha)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))) (log.f32 (cbrt.f32 alpha)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 alpha))) #s(literal 1 binary32))
(*.f32 (log.f32 alpha) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 alpha))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 alpha)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 alpha)))
(*.f32 (sqrt.f32 (log.f32 alpha)) (sqrt.f32 (log.f32 alpha)))
(pow.f32 (log.f32 alpha) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 alpha)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 alpha)) #s(literal 2 binary32))
(cbrt.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 alpha)))
(log1p.f32 (+.f32 alpha #s(literal -1 binary32)))
(exp.f32 (log.f32 (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 (log.f32 alpha)) #s(literal 1 binary32)))
(-.f32 alpha #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))) (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 alpha #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal 1 binary32))))
(exp.f32 (log1p.f32 alpha))
(exp.f32 (*.f32 (log1p.f32 alpha) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal 1 binary32))
(-.f32 alpha #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 alpha))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)) #s(literal 2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (pow.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32)))
Outputs
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.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 2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(*.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))))))
(*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))))
(*.f32 (*.f32 #s(literal -2 binary32) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
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(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (fma.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))

eval303.0ms (3%)

Compiler

Compiled 43452 to 5156 computations (88.1% saved)

prune219.0ms (2.1%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New1367251392
Fresh14216
Picked415
Done000
Total1385281413
Accuracy
100.0%
Counts
1413 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
91.9%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
▶98.7%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
91.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
▶97.4%
(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (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 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
73.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
96.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
✓97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.6%
(/.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))))
▶97.3%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.3%
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(literal 1/2 binary32)) (log.f32 alpha))
97.5%
(/.f32 (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
98.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
98.1%
(/.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 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.1%
(/.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 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
97.9%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
98.1%
(/.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))))))
96.9%
(/.f32 (log1p.f32 (expm1.f32 (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))))
▶97.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))))
64.9%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶95.0%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
Compiler

Compiled 1303 to 859 computations (34.1% saved)

localize324.0ms (3.2%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
✓cost-diff0
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
✓cost-diff0
(/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))))
cost-diff0
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓cost-diff0
(fma.f32 alpha alpha #s(literal 1 binary32))
✓cost-diff128
(-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
✓cost-diff3264
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
cost-diff0
(+.f32 alpha #s(literal 1 binary32))
✓cost-diff64
(*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))
cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) (log.f32 alpha))
✓cost-diff0
(-.f32 alpha #s(literal 1 binary32))
✓cost-diff0
(+.f32 #s(literal 1 binary32) alpha)
cost-diff0
(log.f32 alpha)
cost-diff0
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
cost-diff0
(PI.f32)
cost-diff0
(fma.f32 alpha alpha #s(literal -1 binary32))
✓accuracy99.9%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
✓accuracy99.1%
(/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
accuracy99.6%
(log.f32 (*.f32 alpha alpha))
✓accuracy99.1%
(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
accuracy99.0%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓accuracy63.4%
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))
✓accuracy99.1%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
accuracy99.0%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓accuracy98.9%
(*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha)
✓accuracy98.1%
(+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
accuracy100.0%
(PI.f32)
✓accuracy99.1%
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))
✓accuracy99.0%
(*.f32 (PI.f32) (log.f32 alpha))
✓accuracy98.5%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
✓accuracy99.3%
(*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)
✓accuracy99.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))))
✓accuracy98.5%
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
Rules
1022×associate-/l*
958×fma-define
864×associate-*r/
762×*-commutative
680×associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0541445
11511324
25351303
324931301
463871301
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))
#s(literal 1 binary32)
(*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))
cosTheta
(*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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))
(+.f32 alpha #s(literal -1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
#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 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) 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 (*.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 (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 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))))
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(log.f32 alpha)
alpha
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (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)) (*.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))) (PI.f32))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)) (*.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))))
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))))))
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))
(*.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))
(*.f32 (log.f32 alpha) (*.f32 #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 (log.f32 alpha) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))))
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #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 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))
(*.f32 cosTheta (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))
cosTheta
(*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 alpha #s(literal 1 binary32))
(+.f32 alpha #s(literal -1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #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))
(*.f32 #s(literal -1 binary32) (+.f32 alpha #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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 cosTheta)
cosTheta
(/.f32 (-.f32 (-.f32 (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)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.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))
(*.f32 alpha alpha)
(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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 cosTheta)
cosTheta
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 alpha)))
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (log.f32 alpha) (/.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (/.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.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 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(log.f32 alpha)
alpha
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
Results
153.0ms256×0valid
Compiler

Compiled 428 to 48 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 34.0ms (36.4% of total)
ival-div: 22.0ms (23.6% of total)
ival-log: 11.0ms (11.8% of total)
ival-add: 8.0ms (8.6% of total)
ival-fma: 6.0ms (6.4% of total)
ival-sub: 5.0ms (5.4% of total)
ival-pow: 4.0ms (4.3% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series99.0ms (1%)

Counts
21 → 338
Calls
Call 1
Inputs
#<alt (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))>
#<alt (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))))>
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))>
#<alt (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))>
#<alt (*.f32 (PI.f32) (log.f32 alpha))>
#<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 #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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))>
#<alt (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))>
#<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 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))))>
#<alt (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32)))>
#<alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) alpha)>
#<alt (-.f32 alpha #s(literal 1 binary32))>
#<alt (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))>
#<alt (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))>
#<alt (fma.f32 alpha alpha #s(literal 1 binary32))>
Outputs
#<alt #s(literal -1 binary32)>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 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 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 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))>
#<alt (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))>
#<alt (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.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 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))>
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#<alt (*.f32 #s(literal -1 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 #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 alpha>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))>
#<alt (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))>
#<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) alpha)))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<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) alpha)))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.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 (*.f32 alpha (+.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 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.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 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.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 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.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 #s(literal -1 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 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.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)))))) (pow.f32 cosTheta #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.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)))))) (pow.f32 cosTheta #s(literal 4 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) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.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)))))) (pow.f32 cosTheta #s(literal 6 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) (log.f32 (pow.f32 alpha #s(literal 2 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) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (+.f32 (/.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (/.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 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 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))))>
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#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha))) (*.f32 (PI.f32) (log.f32 (pow.f32 alpha #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.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)))))) (pow.f32 cosTheta #s(literal 4 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) (log.f32 (pow.f32 alpha #s(literal 2 binary32))))))) (/.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (*.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 -1/2 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)))))))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))>
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#<alt (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (pow.f32 alpha #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (pow.f32 alpha #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (pow.f32 alpha #s(literal 6 binary32))))))) (pow.f32 alpha #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))>
#<alt (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.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 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.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 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))>
#<alt (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.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 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.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 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (log.f32 alpha)) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<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 #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 #s(literal -1 binary32)>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (pow.f32 alpha #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (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)))))>
Calls

87 calls:

TimeVariablePointExpression
22.0ms
cosTheta
@inf
(/ (+ (* alpha alpha) -1) (* (PI) (* (* 2 (log alpha)) (+ 1 (* cosTheta (* (* (+ alpha 1) (+ alpha -1)) cosTheta))))))
5.0ms
cosTheta
@0
(/ (+ (* alpha alpha) -1) (* (PI) (* (* 2 (log alpha)) (+ 1 (* cosTheta (* (* (+ alpha 1) (+ alpha -1)) cosTheta))))))
3.0ms
alpha
@-inf
(/ (* (* (* 2 (PI)) (log alpha)) (- 1 (pow cosTheta 2))) (+ (* alpha alpha) -1))
3.0ms
cosTheta
@inf
(/ (+ (* (+ alpha 1) alpha) (* (+ alpha 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (neg cosTheta) cosTheta))))
2.0ms
cosTheta
@-inf
(/ 1 (/ (* (* (* 2 (PI)) (log alpha)) (- 1 (pow cosTheta 2))) (+ (* alpha alpha) -1)))

rewrite172.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
431×log1p-expm1-u
431×expm1-log1p-u
420×add-exp-log
418×add-cube-cbrt
416×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052794
11033786
Stop Event
1×node limit
Counts
21 → 402
Calls
Call 1
Inputs
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))
(+.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 (*.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)) #s(literal 1 binary32))
(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) alpha)
(-.f32 alpha #s(literal 1 binary32))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))
(-.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))
Outputs
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.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 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))))) #s(literal 1 binary32))
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(cbrt.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 1 binary32))
(pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (pow.f32 (pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(-.f32 alpha #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))) (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))))
(/.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)) alpha)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) alpha))
(pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 alpha #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal 1 binary32))))
(exp.f32 (log1p.f32 alpha))
(exp.f32 (*.f32 (log1p.f32 alpha) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal 1 binary32))
(+.f32 alpha #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) alpha)
(*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal -1 binary32)))))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))))
(pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 alpha))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) alpha #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal -1 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))))
(log1p.f32 (expm1.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))))
(exp.f32 (+.f32 (log1p.f32 alpha) (log.f32 #s(literal -1 binary32))))
(exp.f32 (*.f32 (+.f32 (log1p.f32 alpha) (log.f32 #s(literal -1 binary32))) #s(literal 1 binary32)))
(+.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))))
(log1p.f32 (expm1.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(exp.f32 (log.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -2 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32))
(fma.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))) #s(literal -2 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (sqrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal -2 binary32))
(fma.f32 (sqrt.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 alpha alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 alpha 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))))
(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)))
(expm1.f32 (log1p.f32 (fma.f32 alpha alpha #s(literal 1 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)))

simplify389.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1166×times-frac
1010×fma-define
636×distribute-lft-in
614×distribute-rgt-in
554×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0117144334
1314239989
Stop Event
1×node limit
Counts
740 → 754
Calls
Call 1
Inputs
#s(literal -1 binary32)
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(pow.f32 alpha #s(literal 2 binary32))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 #s(literal 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 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 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.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))))))
(*.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))))))
(*.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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(+.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))))
(log1p.f32 (expm1.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(exp.f32 (log.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -2 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32))
(fma.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))) #s(literal -2 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (sqrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal -2 binary32))
(fma.f32 (sqrt.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 alpha alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 alpha 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))))
(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)))
(expm1.f32 (log1p.f32 (fma.f32 alpha alpha #s(literal 1 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)))
Outputs
#s(literal -1 binary32)
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(pow.f32 alpha #s(literal 2 binary32))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 2 binary32)))))
(*.f32 #s(literal 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 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.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 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.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 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.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 2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))
(*.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
(*.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))))))
(*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))))
(*.f32 (*.f32 #s(literal -2 binary32) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))
(*.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))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (*.f32 (PI.f32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 2 binary32)))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal -2 binary32) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (*.f32 (PI.f32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 2 binary32)))))))
(*.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))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (*.f32 (PI.f32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 2 binary32)))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal -2 binary32) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (*.f32 (PI.f32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 2 binary32)))))))
(*.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))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (*.f32 (PI.f32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 2 binary32)))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal -2 binary32) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))) (*.f32 (PI.f32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 2 binary32)))))))
(*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.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 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 alpha #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 2 binary32))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (pow.f32 alpha #s(literal 2 binary32))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (pow.f32 alpha #s(literal 2 binary32))))))
(*.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) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 2 binary32))))))
(*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (pow.f32 alpha #s(literal 2 binary32))))))
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(fma.f32 #s(literal -1 binary32) alpha #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) alpha)
(cbrt.f32 (pow.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 3 binary32)))
(fma.f32 #s(literal -1 binary32) alpha #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) alpha)
(expm1.f32 (log1p.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))))
(expm1.f32 (log1p.f32 (+.f32 #s(literal -1 binary32) (neg.f32 alpha))))
(expm1.f32 (log1p.f32 (-.f32 #s(literal -1 binary32) alpha)))
(log1p.f32 (expm1.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))))
(fma.f32 #s(literal -1 binary32) alpha #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) alpha)
(exp.f32 (+.f32 (log1p.f32 alpha) (log.f32 #s(literal -1 binary32))))
(fma.f32 #s(literal -1 binary32) alpha #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) alpha)
(exp.f32 (*.f32 (+.f32 (log1p.f32 alpha) (log.f32 #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) alpha #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) alpha)
(+.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 #s(literal 1 binary32) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(/.f32 (-.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 0 binary32))))
(/.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 (+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal -1 binary32)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 0 binary32)))
(/.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(log.f32 (exp.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(cbrt.f32 (pow.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(expm1.f32 (log.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(exp.f32 (log.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -2 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.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))
(fma.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))) #s(literal -2 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (hypot.f32 #s(literal 1 binary32) alpha) #s(literal 4 binary32))) (cbrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal -2 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) #s(literal -1 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (sqrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal -2 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (sqrt.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 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 alpha alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))
(fma.f32 alpha 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 (cbrt.f32 (pow.f32 (hypot.f32 #s(literal 1 binary32) alpha) #s(literal 4 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))))
(fma.f32 alpha alpha #s(literal 1 binary32))
(pow.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32))
(fma.f32 alpha alpha #s(literal 1 binary32))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 alpha alpha #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 2 binary32))
(fma.f32 alpha alpha #s(literal 1 binary32))
(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(fma.f32 alpha alpha #s(literal 1 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 alpha alpha #s(literal 1 binary32)))))
(fma.f32 alpha alpha #s(literal 1 binary32))
(cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 3 binary32)))
(fma.f32 alpha alpha #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(fma.f32 alpha alpha #s(literal 1 binary32))
(log1p.f32 (expm1.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(fma.f32 alpha alpha #s(literal 1 binary32))
(exp.f32 (log.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(fma.f32 alpha alpha #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 alpha alpha #s(literal 1 binary32))

eval169.0ms (1.6%)

Compiler

Compiled 35134 to 4619 computations (86.9% saved)

prune270.0ms (2.6%)

Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1170221192
Fresh121022
Picked325
Done011
Total1185351220
Accuracy
100.0%
Counts
1220 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.9%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
✓98.7%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
98.4%
(/.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))))
97.5%
(/.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 (neg.f32 cosTheta) cosTheta))))
▶98.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.3%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (-.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
96.6%
(/.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.1%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #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))))
95.3%
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(literal 1/2 binary32)) (log.f32 alpha))
97.5%
(/.f32 (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
▶98.4%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
98.1%
(/.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 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.1%
(/.f32 (*.f32 (*.f32 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))))))
64.9%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.1%
(*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)))
93.7%
(*.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 3 binary32)))
95.4%
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)) (PI.f32)))
63.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (log.f32 alpha)))
94.9%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
94.4%
(*.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))))
95.1%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha))) (PI.f32)))
▶94.4%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))))
94.5%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
89.2%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
✓95.0%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
94.6%
(*.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))))
▶95.0%
(*.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))))
46.4%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
▶63.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
94.9%
(*.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))))
94.6%
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
94.6%
(*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
Compiler

Compiled 1398 to 981 computations (29.8% saved)

localize547.0ms (5.3%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))
cost-diff0
(-.f32 alpha #s(literal 1 binary32))
cost-diff0
(+.f32 #s(literal 1 binary32) alpha)
cost-diff0
(*.f32 alpha alpha)
✓cost-diff32
(log.f32 (/.f32 #s(literal 1 binary32) alpha))
✓cost-diff64
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
✓cost-diff64
(*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
cost-diff0
(-.f32 alpha #s(literal 1 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) alpha)
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
✓cost-diff128
(*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 (PI.f32) (log.f32 alpha))
✓cost-diff0
(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
✓cost-diff64
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
cost-diff0
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
cost-diff0
(PI.f32)
cost-diff0
(+.f32 alpha #s(literal -1 binary32))
cost-diff0
(+.f32 alpha #s(literal 1 binary32))
✓accuracy99.2%
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha)))))
✓accuracy99.0%
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))
✓accuracy98.7%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
accuracy91.6%
(PI.f32)
accuracy99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓accuracy99.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓accuracy99.0%
(*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
accuracy91.6%
(PI.f32)
✓accuracy99.2%
(/.f32 (*.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))
accuracy99.0%
(*.f32 (PI.f32) (log.f32 alpha))
✓accuracy98.7%
(*.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (-.f32 alpha #s(literal 1 binary32)))
accuracy91.6%
(PI.f32)
accuracy100.0%
(log.f32 alpha)
✓accuracy99.4%
(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
accuracy99.0%
(*.f32 (PI.f32) (log.f32 alpha))
accuracy91.6%
(PI.f32)
✓accuracy99.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
accuracy99.0%
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))))
accuracy98.7%
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
accuracy91.6%
(PI.f32)
Rules
1460×times-frac
1028×fma-define
692×associate-/r*
664×associate-*l*
648×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0531234
11771156
26971146
345291146
475721146
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(+.f32 alpha #s(literal 1 binary32))
alpha
#s(literal 1 binary32)
(+.f32 alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))
(*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))
cosTheta
(*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) 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 alpha (+.f32 #s(literal 1 binary32) (/.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 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 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))
alpha
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
#s(literal 1 binary32)
(/.f32 #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 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))))
#s(literal 1/2 binary32)
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.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) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))
(PI.f32)
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha)))
#s(literal 2 binary32)
(log.f32 (sqrt.f32 alpha))
(sqrt.f32 alpha)
Outputs
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 alpha #s(literal 1 binary32))
alpha
#s(literal 1 binary32)
(+.f32 alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (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 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
#s(literal 2 binary32)
(log.f32 alpha)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (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))
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))
cosTheta
(*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta)
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 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)))
#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 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 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 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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 (*.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 (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))
(*.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (-.f32 alpha #s(literal 1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))
(+.f32 alpha #s(literal 1 binary32))
alpha
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
#s(literal 1 binary32)
(/.f32 #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 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (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) (*.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) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (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 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))
(*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(PI.f32)
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) 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 cosTheta (*.f32 cosTheta (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))
(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 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (log.f32 (sqrt.f32 alpha))))
#s(literal 1/2 binary32)
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.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) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))
(PI.f32)
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha)))
#s(literal 2 binary32)
(log.f32 (sqrt.f32 alpha))
(sqrt.f32 alpha)
Results
121.0ms233×0valid
80.0ms23×5exit
Compiler

Compiled 398 to 48 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 51.0ms (44.9% of total)
ival-div: 16.0ms (14.1% of total)
ival-add: 15.0ms (13.2% of total)
ival-log: 15.0ms (13.2% of total)
backward-pass: 9.0ms (7.9% of total)
ival-sub: 3.0ms (2.6% of total)
ival-sqrt: 2.0ms (1.8% of total)
const: 1.0ms (0.9% of total)
ival-pi: 1.0ms (0.9% of total)

series121.0ms (1.2%)

Counts
15 → 168
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))>
#<alt (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))>
#<alt (*.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (-.f32 alpha #s(literal 1 binary32)))>
#<alt (/.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)))>
#<alt (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))>
#<alt (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha)))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.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 -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))>
#<alt (log.f32 (/.f32 #s(literal 1 binary32) alpha))>
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 (-.f32 (/.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 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (pow.f32 alpha #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))>
#<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) (+.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (pow.f32 alpha #s(literal 2 binary32)))) (+.f32 (*.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) (+.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))))>
#<alt (+.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) (+.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.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) (+.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))))) (pow.f32 alpha #s(literal 2 binary32)))) (+.f32 (*.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) (+.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))>
#<alt (+.f32 (*.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 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32)) (pow.f32 (-.f32 alpha #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)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 3 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))))))>
#<alt (+.f32 (*.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 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32)) (pow.f32 (-.f32 alpha #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)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 4 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 4 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 3 binary32)) (pow.f32 (-.f32 alpha #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))))>
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#<alt (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))))>
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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 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) alpha)) (pow.f32 (-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))) (pow.f32 cosTheta #s(literal 2 binary32)))>
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#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) alpha)>
#<alt (+.f32 #s(literal 1 binary32) alpha)>
#<alt (+.f32 #s(literal 1 binary32) alpha)>
#<alt alpha>
#<alt alpha>
#<alt (/.f32 #s(literal 1 binary32) alpha)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) alpha) alpha)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) alpha) alpha)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) alpha) alpha)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))>
#<alt (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<alt (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))>
#<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)))>
Calls

51 calls:

TimeVariablePointExpression
27.0ms
alpha
@0
(* 1/2 (/ -1 (* (PI) (log alpha))))
18.0ms
alpha
@-inf
(* (PI) (* 2 (log (sqrt alpha))))
17.0ms
alpha
@0
(* (PI) (* 2 (log (sqrt alpha))))
10.0ms
alpha
@-inf
(* (PI) (* -2 (log (/ 1 alpha))))
7.0ms
alpha
@inf
(* (PI) (* 2 (log (sqrt alpha))))

rewrite121.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
381×log1p-expm1-u
381×expm1-log1p-u
377×add-exp-log
364×add-log-exp
361×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051555
11003416
Stop Event
1×node limit
Counts
15 → 290
Calls
Call 1
Inputs
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))) (-.f32 alpha #s(literal 1 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 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.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 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 #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 -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))
(log.f32 (/.f32 #s(literal 1 binary32) alpha))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 (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 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (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 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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))))) (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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)))) #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 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (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)))) (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 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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)))))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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)))) #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 (log.f32 (pow.f32 alpha #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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))))))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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))))))
(exp.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal -1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 1 binary32)))
(+.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (+.f32 alpha #s(literal 1 binary32))))
(-.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) #s(literal 1 binary32)))))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (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 #s(literal -1 binary32) (+.f32 alpha #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 (cbrt.f32 (pow.f32 alpha #s(literal 4 binary32))) (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha)))
(pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (log.f32 (pow.f32 alpha (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
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(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))
(*.f32 (cbrt.f32 (pow.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 (hypot.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -1/2 binary32))) (hypot.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -1/2 binary32))))
(/.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 (+.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))))
(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 (hypot.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -1/2 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
(exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))
(fma.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)) #s(literal 1 binary32))
(fma.f32 (pow.f32 alpha #s(literal -1/2 binary32)) (pow.f32 alpha #s(literal -1/2 binary32)) #s(literal 1 binary32))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(*.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)))
(*.f32 (pow.f32 alpha #s(literal -1/2 binary32)) (pow.f32 alpha #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 alpha) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 alpha) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 alpha) #s(literal -1 binary32)))
(pow.f32 alpha #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)) #s(literal 3 binary32))
(pow.f32 (pow.f32 alpha #s(literal -3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 alpha #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (log.f32 alpha)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 2 binary32)))) (cbrt.f32 (neg.f32 (log.f32 alpha))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 alpha)))) (sqrt.f32 (neg.f32 (log.f32 alpha))))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) alpha)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) alpha))))
(cbrt.f32 (pow.f32 alpha #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) alpha)))
(exp.f32 (neg.f32 (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(log1p.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 alpha)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha))))
(+.f32 (log.f32 (pow.f32 alpha #s(literal -1/2 binary32))) (log.f32 (pow.f32 alpha #s(literal -1/2 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 alpha))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 alpha #s(literal 1 binary32))))
(-.f32 (exp.f32 (log1p.f32 (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha)))
(*.f32 #s(literal 1 binary32) (neg.f32 (log.f32 alpha)))
(*.f32 #s(literal -1 binary32) (log.f32 alpha))
(*.f32 (cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (log.f32 alpha))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 alpha))) (sqrt.f32 (neg.f32 (log.f32 alpha))))
(pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 alpha))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 alpha))) #s(literal 2 binary32))
(neg.f32 (log.f32 alpha))
(neg.f32 (log.f32 (/.f32 alpha #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 alpha))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))
(exp.f32 (log.f32 (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 alpha))) #s(literal 1 binary32)))

simplify295.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1434×associate-*r*
1202×associate-*l*
1196×associate-/r*
746×times-frac
548×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084424647
1222122302
Stop Event
1×node limit
Counts
458 → 462
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)))))))
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(exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 1 binary32))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(pow.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(exp.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 1 binary32)))
(+.f32 alpha #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) alpha)
(+.f32 (*.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 alpha #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32)))) #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32)))
(/.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)) alpha)))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (*.f32 alpha #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) alpha))
(pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 alpha #s(literal 1 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 alpha #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 alpha #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 3 binary32)))
(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))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (+.f32 alpha #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (+.f32 alpha #s(literal 1 binary32))))
(exp.f32 (log1p.f32 alpha))
(exp.f32 (*.f32 (log1p.f32 alpha) #s(literal 1 binary32)))
(fma.f32 alpha #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) alpha #s(literal 1 binary32))
(fma.f32 (sqrt.f32 alpha) (sqrt.f32 alpha) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) (cbrt.f32 alpha) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))
(*.f32 (cbrt.f32 (pow.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 (hypot.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -1/2 binary32))) (hypot.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -1/2 binary32))))
(/.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 (+.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))))
(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 (hypot.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -1/2 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
(exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))
(fma.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)) #s(literal 1 binary32))
(fma.f32 (pow.f32 alpha #s(literal -1/2 binary32)) (pow.f32 alpha #s(literal -1/2 binary32)) #s(literal 1 binary32))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(*.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)))
(*.f32 (pow.f32 alpha #s(literal -1/2 binary32)) (pow.f32 alpha #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 alpha) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 alpha) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 alpha) #s(literal -1 binary32)))
(pow.f32 alpha #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)) #s(literal 3 binary32))
(pow.f32 (pow.f32 alpha #s(literal -3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 alpha #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (log.f32 alpha)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 2 binary32)))) (cbrt.f32 (neg.f32 (log.f32 alpha))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 alpha)))) (sqrt.f32 (neg.f32 (log.f32 alpha))))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) alpha)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) alpha))))
(cbrt.f32 (pow.f32 alpha #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) alpha)))
(exp.f32 (neg.f32 (log.f32 alpha)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))))) #s(literal 1 binary32))
(pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(log1p.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 alpha)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha))))
(+.f32 (log.f32 (pow.f32 alpha #s(literal -1/2 binary32))) (log.f32 (pow.f32 alpha #s(literal -1/2 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 alpha))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 alpha #s(literal 1 binary32))))
(-.f32 (exp.f32 (log1p.f32 (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha)))
(*.f32 #s(literal 1 binary32) (neg.f32 (log.f32 alpha)))
(*.f32 #s(literal -1 binary32) (log.f32 alpha))
(*.f32 (cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (log.f32 alpha))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 alpha))) (sqrt.f32 (neg.f32 (log.f32 alpha))))
(pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 alpha))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 alpha))) #s(literal 2 binary32))
(neg.f32 (log.f32 alpha))
(neg.f32 (log.f32 (/.f32 alpha #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 alpha))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))
(exp.f32 (log.f32 (neg.f32 (log.f32 alpha))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 alpha))) #s(literal 1 binary32)))
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 (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 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
(-.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 #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) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (/.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))
(-.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)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.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 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.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 (PI.f32) (*.f32 (log.f32 alpha) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
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(pow.f32 (cbrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 3 binary32))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(pow.f32 (pow.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(pow.f32 (sqrt.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))) #s(literal 2 binary32))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(log.f32 (exp.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
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(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32)))) #s(literal 3 binary32)))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
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(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
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(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -3 binary32))) (+.f32 (pow.f32 alpha #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32))))
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(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal 3 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(fma.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)) #s(literal 1 binary32))
(+.f32 (/.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) (cbrt.f32 alpha)) #s(literal 1 binary32))
(fma.f32 (pow.f32 alpha #s(literal -1/2 binary32)) (pow.f32 alpha #s(literal -1/2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 0 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(/.f32 #s(literal 1 binary32) alpha)
(*.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)))
(/.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32))) (cbrt.f32 alpha))
(*.f32 (pow.f32 alpha #s(literal -1/2 binary32)) (pow.f32 alpha #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) alpha)
(*.f32 (pow.f32 (sqrt.f32 alpha) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 alpha) #s(literal -1 binary32)))
(pow.f32 (sqrt.f32 alpha) #s(literal -2 binary32))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 alpha) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32))))
(pow.f32 alpha #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) alpha)
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) alpha)
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) alpha)
(pow.f32 (pow.f32 alpha #s(literal -3 binary32)) #s(literal 1/3 binary32))
(cbrt.f32 (pow.f32 alpha #s(literal -3 binary32)))
(pow.f32 (pow.f32 alpha #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) alpha)
(pow.f32 (/.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) alpha)
(pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (log.f32 alpha)))
(/.f32 #s(literal 1 binary32) alpha)
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 2 binary32)))) (cbrt.f32 (neg.f32 (log.f32 alpha))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 alpha)))) (sqrt.f32 (neg.f32 (log.f32 alpha))))
(/.f32 #s(literal 1 binary32) alpha)
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) alpha)))
(/.f32 #s(literal 1 binary32) alpha)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) alpha))))
(/.f32 #s(literal 1 binary32) alpha)
(cbrt.f32 (pow.f32 alpha #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) alpha)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 0 binary32))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) alpha)))
(/.f32 #s(literal 1 binary32) alpha)
(exp.f32 (neg.f32 (log.f32 alpha)))
(/.f32 #s(literal 1 binary32) alpha)
(exp.f32 (*.f32 (log.f32 alpha) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) alpha)
(exp.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) alpha)
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(expm1.f32 (log1p.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 3 binary32))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32))))
(log1p.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal -1 binary32)))
(log.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 0 binary32)))
(cbrt.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))) #s(literal 3 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(expm1.f32 (log1p.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(log1p.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)))
(log1p.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal -1 binary32)))
(log.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 0 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 alpha)))
(neg.f32 (log.f32 alpha))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 alpha))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32)))) (neg.f32 (log.f32 (cbrt.f32 alpha))))
(-.f32 (log.f32 (cbrt.f32 (pow.f32 alpha #s(literal -2 binary32)))) (log.f32 (cbrt.f32 alpha)))
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(*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 alpha #s(literal -1/2 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 alpha))
(neg.f32 (log.f32 alpha))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 alpha #s(literal 1 binary32))))
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(-.f32 (exp.f32 (log1p.f32 (neg.f32 (log.f32 alpha)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 alpha))))
(+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha)))
(*.f32 #s(literal 1 binary32) (neg.f32 (log.f32 alpha)))
(neg.f32 (log.f32 alpha))
(*.f32 #s(literal -1 binary32) (log.f32 alpha))
(neg.f32 (log.f32 alpha))
(*.f32 (cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (log.f32 alpha))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 alpha))) (sqrt.f32 (neg.f32 (log.f32 alpha))))
(neg.f32 (log.f32 alpha))
(pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 1 binary32))
(neg.f32 (log.f32 alpha))
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 alpha))) #s(literal 3 binary32))
(neg.f32 (log.f32 alpha))
(pow.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(neg.f32 (log.f32 alpha))
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 alpha))) #s(literal 2 binary32))
(neg.f32 (log.f32 alpha))
(neg.f32 (log.f32 alpha))
(neg.f32 (log.f32 (/.f32 alpha #s(literal 1 binary32))))
(neg.f32 (log.f32 alpha))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 alpha)) #s(literal 3 binary32)))
(neg.f32 (log.f32 alpha))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 alpha))))
(+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32))
(log1p.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))
(log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32)))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 0 binary32)))
(exp.f32 (log.f32 (neg.f32 (log.f32 alpha))))
(neg.f32 (log.f32 alpha))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 alpha))) #s(literal 1 binary32)))
(neg.f32 (log.f32 alpha))

eval124.0ms (1.2%)

Compiler

Compiled 31015 to 4484 computations (85.5% saved)

prune238.0ms (2.3%)

Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New1094141108
Fresh72027
Picked235
Done033
Total1103401143
Accuracy
100.0%
Counts
1143 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.7%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
63.8%
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.5%
(/.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 (neg.f32 cosTheta) cosTheta))))
97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓98.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
96.6%
(/.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
97.1%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #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))))
98.2%
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
95.3%
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(literal 1/2 binary32)) (log.f32 alpha))
97.7%
(/.f32 (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
92.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
✓98.4%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
97.2%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta))))))
98.1%
(/.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 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
98.4%
(/.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 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
63.8%
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))
63.8%
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
63.9%
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
64.9%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
95.1%
(*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)))
95.4%
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)) (PI.f32)))
63.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (sqrt.f32 alpha))))
94.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
94.9%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
94.4%
(*.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))))
95.1%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha))) (PI.f32)))
94.5%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
89.2%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
✓95.0%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
94.6%
(*.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))))
94.6%
(*.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) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
✓95.0%
(*.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))))
46.4%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
60.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
94.9%
(*.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))))
94.6%
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
94.6%
(*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
Compiler

Compiled 2554 to 867 computations (66.1% saved)

regimes131.0ms (1.3%)

Counts
85 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 #s(literal 1/2 binary32) (/.f32 #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 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 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha))) (PI.f32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 (+.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 (*.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 (PI.f32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #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 (*.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 #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 #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) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (-.f32 #s(literal -1 binary32) alpha)) (*.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 (*.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 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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 (-.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 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (*.f32 alpha (+.f32 #s(literal 1 binary32) (/.f32 #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 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) 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 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (sqrt.f32 alpha))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)))
(/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(literal 1/2 binary32)) (log.f32 alpha))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 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) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 alpha))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 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 cosTheta (*.f32 #s(literal -1 binary32) cosTheta))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (-.f32 (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)) (*.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 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log1p.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) alpha) #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (-.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) 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 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 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 (-.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 (neg.f32 cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (log1p.f32 (+.f32 alpha #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal 2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 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 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 3 binary32)))
(/.f32 (log1p.f32 (expm1.f32 (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 (/.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 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 alpha 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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
Calls

4 calls:

56.0ms
(/.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))))
23.0ms
(*.f32 alpha alpha)
22.0ms
alpha
22.0ms
cosTheta
Results
AccuracySegmentsBranch
98.7%1cosTheta
98.7%1alpha
98.7%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.7%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes129.0ms (1.3%)

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

4 calls:

79.0ms
(*.f32 alpha alpha)
16.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
15.0ms
alpha
14.0ms
cosTheta
Results
AccuracySegmentsBranch
98.6%1cosTheta
98.6%1alpha
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)

regimes23.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 #s(literal 1/2 binary32) (/.f32 #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 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 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha))) (PI.f32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 (+.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 (*.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 (PI.f32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #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 (*.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 #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 #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) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
(/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (-.f32 #s(literal -1 binary32) alpha)) (*.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:

8.0ms
alpha
7.0ms
(*.f32 alpha alpha)
7.0ms
cosTheta
Results
AccuracySegmentsBranch
97.7%1cosTheta
97.7%1alpha
97.7%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 (/.f32 #s(literal -1/2 binary32) (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 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 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha))) (PI.f32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (log1p.f32 (+.f32 alpha #s(literal -1 binary32))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 (+.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 (*.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 (PI.f32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) alpha))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))
Outputs
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha))) (PI.f32)))
Calls

3 calls:

7.0ms
alpha
5.0ms
(*.f32 alpha alpha)
5.0ms
cosTheta
Results
AccuracySegmentsBranch
95.1%1cosTheta
95.1%1alpha
95.1%1(*.f32 alpha alpha)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (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 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))))
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:

3.0ms
alpha
3.0ms
cosTheta
Results
AccuracySegmentsBranch
95.0%1cosTheta
95.0%1alpha
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 (/.f32 #s(literal -1/2 binary32) (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 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
AccuracySegmentsBranch
94.9%1cosTheta
94.9%1alpha
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 (/.f32 #s(literal -1/2 binary32) (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))))
Outputs
(/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
Calls

2 calls:

3.0ms
alpha
3.0ms
cosTheta
Results
AccuracySegmentsBranch
63.8%1cosTheta
63.8%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
Outputs
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
Calls

2 calls:

2.0ms
cosTheta
1.0ms
alpha
Results
AccuracySegmentsBranch
63.8%1cosTheta
63.8%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
44×*-commutative
20×+-commutative
10×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059470
196466
2105466
3114466
4115466
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (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 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha))) (PI.f32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 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 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) cosTheta))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32)))))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.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 cosTheta (*.f32 cosTheta (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
(/.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 (*.f32 cosTheta (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (+.f32 #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 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) alpha) (log.f32 alpha))) (PI.f32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) (PI.f32)))
(*.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 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))

soundness1.5s (14.2%)

Rules
1644×times-frac
1434×associate-*r*
1368×fma-define
1202×associate-*l*
1196×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117144334
1314239989
052794
11033786
087024825
1223524825
032510
1539510
25988510
084424647
1222122302
046647
1179603
2680603
33727603
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1142 to 295 computations (74.2% saved)

preprocess57.0ms (0.6%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1054 to 622 computations (41% saved)

end0.0ms (0%)

Profiling

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