Octave 3.8, jcobi/1

Details

Time bar (total: 8.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
100%56.2%0%43.8%0%0%0%1
Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.2s (14.7%)

Results
793.0ms6491×body256valid
227.0ms1004×body1024valid
105.0ms659×body512valid
31.0ms102×body2048valid
Bogosity

preprocess82.0ms (1%)

Algorithm
egg-herbie
Rules
1736×fma-neg
1090×div-sub
896×sub-neg
752×times-frac
506×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874
14174
26674
311274
420674
541666
687466
7207866
8573066
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)
(-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4)))
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)) -1/2 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1/2 1/2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify81.0ms (1%)

Algorithm
egg-herbie
Rules
1100×sub-neg
934×fma-def
868×associate-/l*
754×div-sub
678×cancel-sign-sub-inv
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24237
37037
412237
524233
644933
775933
8161633
9379633
10762933
Stop Event
node limit
Counts
1 → 6
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) -2 -4)))

eval1.0ms (0%)

Compiler

Compiled 78 to 47 computations (39.7% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New516
Fresh101
Picked000
Done000
Total617
Accurracy
77.8%
Counts
7 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize58.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (+.f64 beta alpha) 2)
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
77.8%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
alpha
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
beta
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
beta
@0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

rewrite99.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1232×log-prod
1174×fma-def
578×pow-exp
550×fma-neg
470×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01169
125969
2390269
Stop Event
node limit
Counts
3 → 211
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
(+.f64 (+.f64 beta alpha) 2)
Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1)
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1)
(fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) 1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 alpha 2))) (/.f64 4 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 1 (+.f64 beta (-.f64 alpha 2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta beta (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 2 (+.f64 beta alpha)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) -1)
(pow.f64 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) -1)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 2))))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (exp.f64 beta)))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 beta))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(fma.f64 beta 1 (+.f64 alpha 2))
(fma.f64 beta 1 (*.f64 (+.f64 alpha 2) 1))
(fma.f64 alpha 1 (+.f64 beta 2))
(fma.f64 (+.f64 beta alpha) 1 2)
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 beta (*.f64 (+.f64 alpha 2) 1))
(fma.f64 1 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 beta alpha) 2)
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 (cbrt.f64 (+.f64 beta alpha)) (cbrt.f64 (pow.f64 (+.f64 beta alpha) 2)) 2)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta alpha) 2)) (cbrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha 2))
(fma.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (+.f64 alpha 2) 1))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (*.f64 (+.f64 alpha 2) 1))
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (*.f64 (+.f64 alpha 2) 1))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) 2)
(fma.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 1 (-.f64 beta alpha)) 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 alpha 2)) (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha) 2)
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) 2)

simplify173.0ms (2.2%)

Algorithm
egg-herbie
Rules
628×fma-def
578×div-sub
474×+-commutative
434×exp-prod
372×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064512637
1177712141
2622212019
Stop Event
node limit
Counts
283 → 434
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
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1
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1
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(/.f64 beta (+.f64 beta 2))
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beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
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(+.f64 beta (+.f64 2 alpha))
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alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
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(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 alpha 2))) (/.f64 4 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 1 (+.f64 beta (-.f64 alpha 2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta beta (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 2 (+.f64 beta alpha)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) -1)
(pow.f64 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) -1)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 2))))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (exp.f64 beta)))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 beta))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(fma.f64 beta 1 (+.f64 alpha 2))
(fma.f64 beta 1 (*.f64 (+.f64 alpha 2) 1))
(fma.f64 alpha 1 (+.f64 beta 2))
(fma.f64 (+.f64 beta alpha) 1 2)
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 beta (*.f64 (+.f64 alpha 2) 1))
(fma.f64 1 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 beta alpha) 2)
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 (cbrt.f64 (+.f64 beta alpha)) (cbrt.f64 (pow.f64 (+.f64 beta alpha) 2)) 2)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta alpha) 2)) (cbrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha 2))
(fma.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (+.f64 alpha 2) 1))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (*.f64 (+.f64 alpha 2) 1))
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (*.f64 (+.f64 alpha 2) 1))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) 2)
(fma.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 1 (-.f64 beta alpha)) 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 alpha 2)) (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha) 2)
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) 2)
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (-.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (-.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (-.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 alpha (+.f64 alpha 2)))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (/.f64 alpha (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
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1
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1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 1 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
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(-.f64 (-.f64 (-.f64 1 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
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(/.f64 beta (+.f64 beta 2))
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-1
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-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)
(fma.f64 -1 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) -1)
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(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta 2)
(+.f64 2 beta)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
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(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
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(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
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(+.f64 beta (+.f64 alpha 2))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) 2)
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) 2)
(fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 beta alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) 2)

eval304.0ms (3.8%)

Compiler

Compiled 12006 to 8055 computations (32.9% saved)

prune107.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New41816434
Fresh000
Picked011
Done000
Total41817435
Accurracy
100.0%
Counts
435 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
25.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
77.8%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
23.1%
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
78.3%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
23.3%
(/.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) 2)
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
76.3%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
22.1%
(/.f64 (+.f64 (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) 2)
23.3%
(/.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) 2)
31.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
3.5%
(/.f64 (+.f64 -1 1) 2)
49.0%
(/.f64 (*.f64 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2)
25.8%
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
39.5%
(/.f64 2 2)
49.0%
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
25.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
77.8%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
23.1%
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
78.3%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
23.3%
(/.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) 2)
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
76.3%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
22.1%
(/.f64 (+.f64 (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) 2)
23.3%
(/.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) 2)
31.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
3.5%
(/.f64 (+.f64 -1 1) 2)
49.0%
(/.f64 (*.f64 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2)
25.8%
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
39.5%
(/.f64 2 2)
Compiler

Compiled 1606 to 1174 computations (26.9% saved)

localize546.0ms (6.9%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
94.9%
(*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))
90.9%
(/.f64 beta (pow.f64 alpha 3))
88.6%
(+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)))
82.3%
(-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
100.0%
(/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)
100.0%
(+.f64 beta (+.f64 2 beta))
94.9%
(-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))
93.2%
(/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
100.0%
(/.f64 alpha (+.f64 alpha 2))
72.7%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
100.0%
(+.f64 beta (+.f64 alpha 2))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
77.8%
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 433 to 263 computations (39.3% saved)

series30.0ms (0.4%)

Counts
14 → 276
Calls

75 calls:

TimeVariablePointExpression
3.0ms
alpha
@0
(/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
2.0ms
beta
@-inf
(-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
1.0ms
alpha
@0
(-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
1.0ms
beta
@0
(+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)))
1.0ms
alpha
@-inf
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

rewrite162.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1030×add-sqr-sqrt
1018×pow1
962×add-exp-log
962×add-cbrt-cube
962×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040492
11003492
Stop Event
node limit
Counts
14 → 155
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(+.f64 beta (+.f64 alpha 2))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
(-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))
(+.f64 beta (+.f64 2 beta))
(/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)
(-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)))
(/.f64 beta (pow.f64 alpha 3))
(*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))
Outputs
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1) (+.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 1 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(*.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 alpha alpha)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (cbrt.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (cbrt.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (sqrt.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(pow.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(+.f64 (*.f64 (/.f64 (fma.f64 beta -1 -2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (neg.f64 (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))
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(exp.f64 (log.f64 (/.f64 beta (pow.f64 alpha 3))))
(log1p.f64 (expm1.f64 (/.f64 beta (pow.f64 alpha 3))))
(/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(pow.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))

simplify198.0ms (2.5%)

Algorithm
egg-herbie
Rules
1320×fma-def
848×associate-*r*
834×associate-*l*
486×times-frac
444×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067621293
1196318723
Stop Event
node limit
Counts
431 → 514
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(+.f64 2 alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 beta) 2)) (pow.f64 alpha 2)) (*.f64 2 (/.f64 1 alpha))))
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(-.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))
(*.f64 1 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))) (cbrt.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))))) (cbrt.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))) (sqrt.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)) 3)) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))) (*.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))) (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))))
(pow.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))) (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))) (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(exp.f64 (log.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(*.f64 beta (/.f64 1 (pow.f64 alpha 3)))
(*.f64 1 (/.f64 beta (pow.f64 alpha 3)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 beta (pow.f64 alpha 3))) (cbrt.f64 (/.f64 beta (pow.f64 alpha 3)))) (cbrt.f64 (/.f64 beta (pow.f64 alpha 3))))
(*.f64 (sqrt.f64 (/.f64 beta (pow.f64 alpha 3))) (sqrt.f64 (/.f64 beta (pow.f64 alpha 3))))
(pow.f64 (/.f64 beta (pow.f64 alpha 3)) 1)
(log.f64 (exp.f64 (/.f64 beta (pow.f64 alpha 3))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (pow.f64 alpha 3))) (/.f64 beta (pow.f64 alpha 3))))
(expm1.f64 (log1p.f64 (/.f64 beta (pow.f64 alpha 3))))
(exp.f64 (log.f64 (/.f64 beta (pow.f64 alpha 3))))
(log1p.f64 (expm1.f64 (/.f64 beta (pow.f64 alpha 3))))
(/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(pow.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 alpha (+.f64 alpha 2))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) (/.f64 alpha (+.f64 alpha 2))) -1)
(+.f64 (-.f64 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))))) (/.f64 alpha (+.f64 alpha 2))) -1)
(+.f64 (-.f64 (-.f64 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 3)))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) -1))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) -1))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
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(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (+.f64 beta 2)))
(-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha)))))
(+.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) beta))) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (+.f64 beta 2)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha))) (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (/.f64 (pow.f64 (+.f64 beta 2) 4) beta)))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) (/.f64 (*.f64 alpha alpha) beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3))))
(+.f64 (/.f64 (*.f64 beta (-.f64 -2 beta)) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (/.f64 (*.f64 beta (-.f64 -2 beta)) (*.f64 alpha alpha)) (-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) (/.f64 (*.f64 alpha alpha) beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3))))
(+.f64 (/.f64 (*.f64 beta (-.f64 -2 beta)) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (/.f64 (*.f64 beta (-.f64 -2 beta)) (*.f64 alpha alpha)) (-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2)))
(-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha)))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
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(/.f64 alpha (+.f64 2 alpha))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta)))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (-.f64 (-.f64 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 3)))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))))
(+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))))
(+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))))
(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(fma.f64 alpha -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4)))
(+.f64 (fma.f64 alpha -1/2 1) (*.f64 alpha (*.f64 alpha 1/4)))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4))))
(+.f64 (fma.f64 (pow.f64 alpha 3) -1/8 1) (fma.f64 alpha -1/2 (*.f64 alpha (*.f64 alpha 1/4))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)) 3)) (fma.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)) (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)) (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) 3)) (fma.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (+.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))))) (pow.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) 2)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))) (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))))
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) 2) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))) (-.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))))
(pow.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))) 1)
(+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))
(+.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(log.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))
(+.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))) (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))) (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(cbrt.f64 (*.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))) (*.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))) (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))
(+.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(exp.f64 (log.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))
(+.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))))
(+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha)))
(+.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(*.f64 beta (/.f64 1 (pow.f64 alpha 3)))
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(*.f64 1 (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(*.f64 (*.f64 (cbrt.f64 (/.f64 beta (pow.f64 alpha 3))) (cbrt.f64 (/.f64 beta (pow.f64 alpha 3)))) (cbrt.f64 (/.f64 beta (pow.f64 alpha 3))))
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(*.f64 (sqrt.f64 (/.f64 beta (pow.f64 alpha 3))) (sqrt.f64 (/.f64 beta (pow.f64 alpha 3))))
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(pow.f64 (/.f64 beta (pow.f64 alpha 3)) 1)
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(log.f64 (exp.f64 (/.f64 beta (pow.f64 alpha 3))))
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(cbrt.f64 (*.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (pow.f64 alpha 3))) (/.f64 beta (pow.f64 alpha 3))))
(cbrt.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (pow.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (/.f64 beta (pow.f64 alpha 3)) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (pow.f64 alpha 3))))
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(exp.f64 (log.f64 (/.f64 beta (pow.f64 alpha 3))))
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(log1p.f64 (expm1.f64 (/.f64 beta (pow.f64 alpha 3))))
(/.f64 (*.f64 beta 1) (pow.f64 alpha 3))
(/.f64 beta (pow.f64 alpha 3))
(/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) 1)
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))
(exp.f64 (log.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))

eval380.0ms (4.8%)

Compiler

Compiled 21131 to 14388 computations (31.9% saved)

prune137.0ms (1.7%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New56913582
Fresh7411
Picked325
Done011
Total57920599
Accurracy
100.0%
Counts
599 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (pow.f64 alpha 3)) 2)
52.1%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
25.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
23.1%
(/.f64 (/.f64 2 alpha) 2)
78.3%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
23.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))) 2)
22.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
22.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))) 2)
24.2%
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
21.8%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
50.2%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
76.3%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
22.2%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
21.6%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) 2)
31.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
25.8%
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
39.5%
(/.f64 2 2)
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (pow.f64 alpha 3)) 2)
52.1%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
25.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
23.1%
(/.f64 (/.f64 2 alpha) 2)
78.3%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
23.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))) 2)
22.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
22.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))) 2)
24.2%
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
21.8%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
50.2%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
76.3%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
22.2%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
21.6%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) 2)
31.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
25.8%
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
39.5%
(/.f64 2 2)
Compiler

Compiled 1570 to 1194 computations (23.9% saved)

localize440.0ms (5.5%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha))
93.8%
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))
93.4%
(-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta))))
70.4%
(/.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (pow.f64 alpha 3))
100.0%
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
100.0%
(+.f64 beta (+.f64 alpha 2))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
77.8%
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
100.0%
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
99.9%
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
77.8%
(-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)
Compiler

Compiled 409 to 248 computations (39.4% saved)

series22.0ms (0.3%)

Counts
8 → 192
Calls

48 calls:

TimeVariablePointExpression
4.0ms
beta
@-inf
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))
2.0ms
beta
@-inf
(/.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (pow.f64 alpha 3))
1.0ms
alpha
@inf
(-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)
1.0ms
alpha
@-inf
(-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)
1.0ms
beta
@0
(-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)

rewrite127.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
886×add-sqr-sqrt
870×pow1
868×*-un-lft-identity
826×add-cbrt-cube
826×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035320
1860320
Stop Event
node limit
Counts
8 → 134
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (pow.f64 alpha 3))
(-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))
(*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha))
Outputs
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)
(*.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 3) 1) (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1))
(pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 1)
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 1 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))
(*.f64 (+.f64 2 (*.f64 beta 2)) (/.f64 1 alpha))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(pow.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(+.f64 (/.f64 beta alpha) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (fma.f64 beta (/.f64 1 alpha) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))
(+.f64 (fma.f64 beta (/.f64 1 alpha) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))))
(+.f64 (fma.f64 beta (/.f64 1 alpha) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(+.f64 (fma.f64 1 (/.f64 beta alpha) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))
(+.f64 (fma.f64 1 (/.f64 beta alpha) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))))
(+.f64 (fma.f64 1 (/.f64 beta alpha) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 beta alpha)) (cbrt.f64 (/.f64 beta alpha))) (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 beta alpha)) (cbrt.f64 (/.f64 beta alpha))) (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 beta alpha)) (cbrt.f64 (/.f64 beta alpha))) (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 1 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) (cbrt.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))) (cbrt.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) (sqrt.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3)) (+.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(/.f64 (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(pow.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
(exp.f64 (log.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
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(+.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (sqrt.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (sqrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (sqrt.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))) alpha))) (fma.f64 (neg.f64 (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) alpha (*.f64 (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))) alpha)))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 1))) (fma.f64 (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) 1 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 1)))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (fma.f64 (neg.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta))) (*.f64 alpha alpha) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (fma.f64 (neg.f64 (*.f64 alpha alpha)) (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (sqrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))))
(*.f64 1 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (cbrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))) (cbrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (sqrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) 3) (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 3)) (+.f64 (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (+.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(pow.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) 1)
(log.f64 (exp.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(fma.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))) (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) beta)))
(+.f64 (*.f64 -2 (*.f64 alpha alpha)) (*.f64 (-.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)))
(pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 1)
(log.f64 (exp.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(expm1.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(exp.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(log1p.f64 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(pow.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) 1)
(log.f64 (exp.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))

simplify219.0ms (2.7%)

Algorithm
egg-herbie
Rules
1256×fma-def
906×associate-*r*
854×associate-*l*
790×distribute-lft-in
788×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068322400
1219018016
Stop Event
node limit
Counts
326 → 431
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2)))))))) 1)
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))))
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))) (+.f64 beta 2))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))))) 1)
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))))
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(+.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (sqrt.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))) alpha))) (fma.f64 (neg.f64 (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) alpha (*.f64 (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))) alpha)))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 1))) (fma.f64 (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) 1 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 1)))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (fma.f64 (neg.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta))) (*.f64 alpha alpha) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (fma.f64 (neg.f64 (*.f64 alpha alpha)) (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (sqrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (fma.f64 (*.f64 (fma.f64 -1 beta -2) (+.f64 beta (+.f64 beta 2))) alpha (neg.f64 (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))))
(*.f64 1 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (cbrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))) (cbrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (sqrt.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) 3) (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 3)) (+.f64 (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (+.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(pow.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) 1)
(log.f64 (exp.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(fma.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))) (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(+.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) beta)))
(+.f64 (*.f64 -2 (*.f64 alpha alpha)) (*.f64 (-.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)))
(pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 1)
(log.f64 (exp.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(expm1.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(exp.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(log1p.f64 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(pow.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) 1)
(log.f64 (exp.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)))) 1)
(+.f64 (fma.f64 -1 (*.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) -1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (neg.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4)))) (pow.f64 alpha 3) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2)))))))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (*.f64 -1 (+.f64 (*.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)) (*.f64 (pow.f64 alpha 4) (fma.f64 -1 (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 4)))))) 1))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (fma.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3) (*.f64 (pow.f64 alpha 4) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 beta 4)))))) -1))
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))
(*.f64 -1 (+.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (*.f64 alpha alpha))))
(-.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (*.f64 alpha alpha)))))
(-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (fma.f64 2 beta 4) (+.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (fma.f64 2 beta 4) 2)) (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 alpha 3)) (/.f64 (fma.f64 2 beta 4) alpha)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (neg.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta)))))))) (pow.f64 alpha 4)) (*.f64 -1 (+.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (*.f64 alpha alpha))))))
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (fma.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 (fma.f64 2 beta 4) (*.f64 (+.f64 -4 (*.f64 beta -2)) (+.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (fma.f64 2 beta 4) 2)) (pow.f64 (+.f64 2 beta) 2)))))) (pow.f64 alpha 4)) (/.f64 (fma.f64 2 beta 4) alpha)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 alpha alpha))) (/.f64 (*.f64 (+.f64 -4 (*.f64 beta -2)) (+.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (fma.f64 2 beta 4) 2)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3)))
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (neg.f64 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) 3) (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 3)) (fma.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (fma.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta))) 3) (pow.f64 (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))) 3)) (fma.f64 (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))) (fma.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 beta -2))) (*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)))) (pow.f64 (*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta))) 2)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (+.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(/.f64 (*.f64 (fma.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (fma.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta))) 2) (pow.f64 (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))) 2)) (fma.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 beta -2))) (*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)))))
(pow.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) 1)
(-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))
(*.f64 alpha (+.f64 (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (*.f64 alpha (-.f64 2 (*.f64 beta -2)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))
(*.f64 alpha (+.f64 (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (*.f64 alpha (-.f64 2 (*.f64 beta -2)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))) (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(cbrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 (-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))))
(cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (*.f64 alpha (-.f64 2 (*.f64 beta -2))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))
(*.f64 alpha (+.f64 (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (*.f64 alpha (-.f64 2 (*.f64 beta -2)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))
(*.f64 alpha (+.f64 (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (*.f64 alpha (-.f64 2 (*.f64 beta -2)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))))
(-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))
(*.f64 alpha (+.f64 (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (*.f64 alpha (-.f64 2 (*.f64 beta -2)))))
(fma.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))) (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(-.f64 (*.f64 (*.f64 alpha (fma.f64 -1 beta -2)) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))))
(*.f64 alpha (+.f64 (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (*.f64 alpha (-.f64 2 (*.f64 beta -2)))))
(+.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) beta)))
(neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(+.f64 (*.f64 -2 (*.f64 alpha alpha)) (*.f64 (-.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)))
(neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) 1)
(neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(log.f64 (exp.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(expm1.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(exp.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(log1p.f64 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (-.f64 (neg.f64 beta) beta))))))
(neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(pow.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) 1)
(*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 alpha (fma.f64 -1 beta -2)))
(*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)))
(log.f64 (exp.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 alpha (fma.f64 -1 beta -2)))
(*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))) (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 alpha (fma.f64 -1 beta -2)))
(*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 alpha (fma.f64 -1 beta -2)))
(*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 alpha (fma.f64 -1 beta -2)))
(*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 alpha (fma.f64 -1 beta -2)))
(*.f64 alpha (*.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)))

eval853.0ms (10.7%)

Compiler

Compiled 47587 to 32371 computations (32% saved)

prune502.0ms (6.3%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New107891087
Fresh4812
Picked325
Done033
Total1085221107
Accurracy
100.0%
Counts
1107 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(/.f64 (/.f64 (-.f64 (*.f64 alpha -4) (*.f64 alpha (*.f64 alpha -2))) (pow.f64 alpha 3)) 2)
52.1%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
25.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
4.4%
(/.f64 (/.f64 beta alpha) 2)
23.1%
(/.f64 (/.f64 2 alpha) 2)
24.2%
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
25.8%
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
24.3%
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) 2)
23.4%
(/.f64 (-.f64 (/.f64 beta alpha) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))) 2)
22.2%
(/.f64 (-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
21.8%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
50.2%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
22.2%
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) 2)
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
76.3%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
22.2%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
21.6%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) 2)
31.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
6.6%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
39.5%
(/.f64 2 2)
7.2%
(/.f64 (/.f64 (-.f64 (*.f64 alpha -4) (*.f64 alpha (*.f64 alpha -2))) (pow.f64 alpha 3)) 2)
52.1%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
25.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
4.4%
(/.f64 (/.f64 beta alpha) 2)
23.1%
(/.f64 (/.f64 2 alpha) 2)
24.2%
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
25.8%
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
24.3%
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) 2)
23.4%
(/.f64 (-.f64 (/.f64 beta alpha) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))) 2)
22.2%
(/.f64 (-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
21.8%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
50.2%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
22.2%
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) 2)
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
76.3%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
22.2%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
21.6%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) 2)
31.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
6.6%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
39.5%
(/.f64 2 2)
Compiler

Compiled 1446 to 1100 computations (23.9% saved)

localize380.0ms (4.8%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 16 (pow.f64 alpha 4))
99.2%
(/.f64 4 (*.f64 alpha alpha))
99.1%
(/.f64 8 (pow.f64 alpha 3))
74.6%
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
100.0%
(/.f64 alpha (+.f64 alpha 2))
100.0%
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
100.0%
(*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))
72.7%
(-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))
100.0%
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
99.2%
(/.f64 4 (*.f64 alpha alpha))
100.0%
(/.f64 (/.f64 beta alpha) 2)
100.0%
(/.f64 beta (+.f64 beta 2))
Compiler

Compiled 264 to 175 computations (33.7% saved)

series9.0ms (0.1%)

Counts
11 → 120
Calls

36 calls:

TimeVariablePointExpression
1.0ms
alpha
@inf
(-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))
0.0ms
alpha
@0
(/.f64 16 (pow.f64 alpha 4))
0.0ms
beta
@inf
(/.f64 (/.f64 beta alpha) 2)
0.0ms
beta
@0
(/.f64 (/.f64 beta alpha) 2)
0.0ms
alpha
@inf
(/.f64 (/.f64 beta alpha) 2)

rewrite102.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
780×add-sqr-sqrt
760×pow1
756×*-un-lft-identity
736×add-exp-log
736×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031257
1773249
Stop Event
node limit
Counts
11 → 206
Calls
Call 1
Inputs
(/.f64 beta (+.f64 beta 2))
(/.f64 (/.f64 beta alpha) 2)
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 8 (pow.f64 alpha 3))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 16 (pow.f64 alpha 4))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 2) (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(expm1.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(exp.f64 (log.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(fma.f64 1 (*.f64 8 (pow.f64 alpha -3)) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(fma.f64 1 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (*.f64 8 (pow.f64 alpha -3)))
(fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (*.f64 8 (pow.f64 alpha -3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))) 2) (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (*.f64 8 (pow.f64 alpha -3)))
(fma.f64 (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))) (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1)
(*.f64 1 (*.f64 8 (pow.f64 alpha -3)))
(*.f64 8 (pow.f64 alpha -3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))) 2) (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))))
(*.f64 (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))) (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))))
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 8 (pow.f64 alpha -3)) 2) (*.f64 8 (pow.f64 alpha -3))) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))) 2)
(pow.f64 (/.f64 (pow.f64 alpha 3) 8) -1)
(log.f64 (exp.f64 (*.f64 8 (pow.f64 alpha -3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8 (pow.f64 alpha -3)) 2) (*.f64 8 (pow.f64 alpha -3))))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3))))
(exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 1 (*.f64 4 (pow.f64 alpha -2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(*.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (*.f64 4 (pow.f64 alpha -2))) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) 2)
(pow.f64 (/.f64 (*.f64 alpha alpha) 4) -1)
(log.f64 (exp.f64 (*.f64 4 (pow.f64 alpha -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (*.f64 4 (pow.f64 alpha -2))))
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4)))) 1)
(*.f64 1 (*.f64 16 (pow.f64 alpha -4)))
(*.f64 16 (pow.f64 alpha -4))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))) 2) (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))))
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 16 (pow.f64 alpha -4)) 2) (*.f64 16 (pow.f64 alpha -4))) 1/3)
(pow.f64 (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) 2)
(pow.f64 (/.f64 (pow.f64 alpha 4) 16) -1)
(log.f64 (exp.f64 (*.f64 16 (pow.f64 alpha -4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 16 (pow.f64 alpha -4)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 16 (pow.f64 alpha -4)) 2) (*.f64 16 (pow.f64 alpha -4))))
(expm1.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4))))
(exp.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 16 (pow.f64 alpha -4))))

simplify129.0ms (1.6%)

Algorithm
egg-herbie
Rules
1302×unswap-sqr
778×fma-neg
620×sqr-pow
470×exp-prod
462×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05188350
112417964
238127868
Stop Event
node limit
Counts
326 → 311
Calls
Call 1
Inputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(*.f64 1/4 (pow.f64 alpha 2))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 -16 (pow.f64 alpha 4))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4))))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 beta alpha) 1/2))) 1)
(*.f64 (/.f64 beta alpha) 1/2)
(*.f64 1 (*.f64 (/.f64 beta alpha) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 beta alpha) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 beta alpha) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 beta alpha) 1/2)) (sqrt.f64 (*.f64 (/.f64 beta alpha) 1/2)))
(pow.f64 (*.f64 (/.f64 beta alpha) 1/2) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 beta alpha) 1/2) 2) (*.f64 (/.f64 beta alpha) 1/2)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 beta alpha) 1/2)) 2)
(pow.f64 (/.f64 2 (/.f64 beta alpha)) -1)
(log.f64 (exp.f64 (*.f64 (/.f64 beta alpha) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 beta alpha) 1/2))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 beta alpha) 1/2) 2) (*.f64 (/.f64 beta alpha) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 beta alpha) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 beta alpha) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 beta alpha) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 beta alpha) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 1 (*.f64 4 (pow.f64 alpha -2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(*.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (*.f64 4 (pow.f64 alpha -2))) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) 2)
(pow.f64 (/.f64 (*.f64 alpha alpha) 4) -1)
(log.f64 (exp.f64 (*.f64 4 (pow.f64 alpha -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (*.f64 4 (pow.f64 alpha -2))))
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 (pow.f64 alpha -2) 4))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 (pow.f64 alpha -2) 4)))
(+.f64 (fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1))) (fma.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) 1 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1)))
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(exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 1 (*.f64 4 (pow.f64 alpha -2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(*.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (*.f64 4 (pow.f64 alpha -2))) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) 2)
(pow.f64 (/.f64 (*.f64 alpha alpha) 4) -1)
(log.f64 (exp.f64 (*.f64 4 (pow.f64 alpha -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (*.f64 4 (pow.f64 alpha -2))))
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4)))) 1)
(*.f64 1 (*.f64 16 (pow.f64 alpha -4)))
(*.f64 16 (pow.f64 alpha -4))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))) 2) (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))))
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 16 (pow.f64 alpha -4)) 2) (*.f64 16 (pow.f64 alpha -4))) 1/3)
(pow.f64 (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) 2)
(pow.f64 (/.f64 (pow.f64 alpha 4) 16) -1)
(log.f64 (exp.f64 (*.f64 16 (pow.f64 alpha -4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 16 (pow.f64 alpha -4)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 16 (pow.f64 alpha -4)) 2) (*.f64 16 (pow.f64 alpha -4))))
(expm1.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4))))
(exp.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 16 (pow.f64 alpha -4))))
Outputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta)))
(fma.f64 1/2 beta (*.f64 beta (*.f64 beta -1/4)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta (*.f64 beta -1/4))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta (*.f64 beta -1/4)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 1/2 (/.f64 beta alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(*.f64 -4 (pow.f64 alpha -2))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 alpha alpha)))
(fma.f64 -1/4 (*.f64 alpha alpha) 1)
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))
(+.f64 1 (fma.f64 -1/4 (*.f64 alpha alpha) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 (*.f64 -1/4 alpha) alpha)))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 -1/4 (*.f64 alpha alpha)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -1/4 (*.f64 alpha alpha) (*.f64 -3/16 (pow.f64 alpha 4)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 (*.f64 -1/4 alpha) alpha))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))
(+.f64 (/.f64 4 alpha) (/.f64 -12 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))))
(+.f64 (/.f64 4 alpha) (+.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 -12 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(+.f64 (/.f64 4 alpha) (+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 -12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))
(+.f64 (/.f64 4 alpha) (/.f64 -12 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))))
(+.f64 (/.f64 4 alpha) (+.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 -12 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(+.f64 (/.f64 4 alpha) (+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 -12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(*.f64 1/4 (pow.f64 alpha 2))
(*.f64 (*.f64 alpha alpha) 1/4)
(*.f64 (*.f64 1/4 alpha) alpha)
(*.f64 alpha (*.f64 alpha 1/4))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) 1/4))
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 (*.f64 1/4 alpha) alpha))
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 alpha (*.f64 alpha 1/4)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 (*.f64 alpha alpha) 1/4)))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 (pow.f64 alpha 4) 3/16 (*.f64 (*.f64 1/4 alpha) alpha)))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 (pow.f64 alpha 4) 3/16 (*.f64 alpha (*.f64 alpha 1/4))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 (*.f64 alpha alpha) 1/4))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 (pow.f64 alpha 4) 3/16 (*.f64 (*.f64 1/4 alpha) alpha))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 (pow.f64 alpha 4) 3/16 (*.f64 alpha (*.f64 alpha 1/4)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(+.f64 1 (/.f64 -4 alpha))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha)))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 -4 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
(+.f64 1 (+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 (/.f64 -4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(+.f64 1 (/.f64 -4 alpha))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha)))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 -4 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
(+.f64 1 (+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 (/.f64 -4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(fma.f64 alpha -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4)))
(+.f64 1 (fma.f64 alpha -1/2 (*.f64 (*.f64 1/4 alpha) alpha)))
(+.f64 (*.f64 alpha (*.f64 alpha 1/4)) (fma.f64 alpha -1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4))))
(+.f64 (fma.f64 alpha -1/2 (*.f64 (*.f64 1/4 alpha) alpha)) (fma.f64 (pow.f64 alpha 3) -1/8 1))
(fma.f64 (pow.f64 alpha 3) -1/8 (+.f64 (*.f64 alpha (*.f64 alpha 1/4)) (fma.f64 alpha -1/2 1)))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) (/.f64 -16 (pow.f64 alpha 4))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
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(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 3)) (+.f64 (*.f64 (pow.f64 alpha -6) 64) (*.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (+.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (*.f64 (pow.f64 alpha -3) -8)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 8 (pow.f64 alpha -3)) 2) (pow.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 2)) (+.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 alpha -6) 64) (pow.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 2)) (+.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 2 alpha))))
(pow.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 1)
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(pow.f64 (*.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 2) (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) 1/3)
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) 2)
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(log.f64 (exp.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(log.f64 (*.f64 (exp.f64 (*.f64 8 (pow.f64 alpha -3))) (exp.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(log.f64 (*.f64 (exp.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (exp.f64 (*.f64 8 (pow.f64 alpha -3)))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 2) (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(expm1.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(exp.f64 (log.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) 1))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(log1p.f64 (expm1.f64 (fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(fma.f64 1 (*.f64 8 (pow.f64 alpha -3)) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(fma.f64 1 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (*.f64 8 (pow.f64 alpha -3)))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (*.f64 8 (pow.f64 alpha -3)))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))) 2) (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (*.f64 8 (pow.f64 alpha -3)))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(fma.f64 (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))) (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1)
(*.f64 8 (pow.f64 alpha -3))
(*.f64 1 (*.f64 8 (pow.f64 alpha -3)))
(*.f64 8 (pow.f64 alpha -3))
(*.f64 8 (pow.f64 alpha -3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))) 2) (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))))
(*.f64 8 (pow.f64 alpha -3))
(*.f64 (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))) (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))))
(*.f64 8 (pow.f64 alpha -3))
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1)
(*.f64 8 (pow.f64 alpha -3))
(pow.f64 (*.f64 (pow.f64 (*.f64 8 (pow.f64 alpha -3)) 2) (*.f64 8 (pow.f64 alpha -3))) 1/3)
(*.f64 8 (pow.f64 alpha -3))
(pow.f64 (sqrt.f64 (*.f64 8 (pow.f64 alpha -3))) 2)
(*.f64 8 (pow.f64 alpha -3))
(pow.f64 (/.f64 (pow.f64 alpha 3) 8) -1)
(/.f64 1 (/.f64 (pow.f64 alpha 3) 8))
(/.f64 8 (pow.f64 alpha 3))
(log.f64 (exp.f64 (*.f64 8 (pow.f64 alpha -3))))
(*.f64 8 (pow.f64 alpha -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))))
(*.f64 8 (pow.f64 alpha -3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8 (pow.f64 alpha -3)) 2) (*.f64 8 (pow.f64 alpha -3))))
(*.f64 8 (pow.f64 alpha -3))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3))))
(*.f64 8 (pow.f64 alpha -3))
(exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))))
(*.f64 8 (pow.f64 alpha -3))
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))) 1))
(*.f64 8 (pow.f64 alpha -3))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))
(*.f64 8 (pow.f64 alpha -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 1 (*.f64 4 (pow.f64 alpha -2)))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (*.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (*.f64 4 (pow.f64 alpha -2))) 1/3)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (sqrt.f64 (*.f64 4 (pow.f64 alpha -2))) 2)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (/.f64 (*.f64 alpha alpha) 4) -1)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(log.f64 (exp.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))) 1))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4)))) 1)
(*.f64 16 (pow.f64 alpha -4))
(*.f64 1 (*.f64 16 (pow.f64 alpha -4)))
(*.f64 16 (pow.f64 alpha -4))
(*.f64 16 (pow.f64 alpha -4))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))) 2) (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))
(*.f64 (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1)
(*.f64 16 (pow.f64 alpha -4))
(pow.f64 (*.f64 (pow.f64 (*.f64 16 (pow.f64 alpha -4)) 2) (*.f64 16 (pow.f64 alpha -4))) 1/3)
(*.f64 16 (pow.f64 alpha -4))
(pow.f64 (sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) 2)
(*.f64 16 (pow.f64 alpha -4))
(pow.f64 (/.f64 (pow.f64 alpha 4) 16) -1)
(/.f64 1 (/.f64 (pow.f64 alpha 4) 16))
(/.f64 16 (pow.f64 alpha 4))
(log.f64 (exp.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 16 (pow.f64 alpha -4)))))
(*.f64 16 (pow.f64 alpha -4))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 16 (pow.f64 alpha -4)) 2) (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))
(expm1.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))
(exp.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))
(exp.f64 (*.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))) 1))
(*.f64 16 (pow.f64 alpha -4))
(log1p.f64 (expm1.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))

eval239.0ms (3%)

Compiler

Compiled 10074 to 7965 computations (20.9% saved)

prune118.0ms (1.5%)

Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New4163419
Fresh11112
Picked055
Done055
Total41724441
Accurracy
100.0%
Counts
441 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.8%
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
52.1%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
4.8%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) 2)
25.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
4.4%
(/.f64 (/.f64 beta alpha) 2)
23.1%
(/.f64 (/.f64 2 alpha) 2)
24.2%
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
25.8%
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
24.3%
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) 2)
23.4%
(/.f64 (-.f64 (/.f64 beta alpha) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))) 2)
22.2%
(/.f64 (-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
21.8%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
50.2%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
22.2%
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) 2)
77.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
76.3%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
22.2%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
21.6%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) 2)
48.1%
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
31.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
6.6%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
39.5%
(/.f64 2 2)
Compiler

Compiled 1367 to 971 computations (29% saved)

regimes158.0ms (2%)

Counts
43 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 alpha -4) (*.f64 alpha (*.f64 alpha -2))) (pow.f64 alpha 3)) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (*.f64 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 -1 beta -2) (*.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (-.f64 (neg.f64 beta) beta)))) (pow.f64 alpha 3)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (-.f64 -2 beta) alpha))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) 2)
(/.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))) 2)
(/.f64 (+.f64 (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

5 calls:

63.0ms
beta
38.0ms
alpha
21.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
94.8%2alpha
80.2%3beta
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 982 to 672 computations (31.6% saved)

regimes29.0ms (0.4%)

Counts
20 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 225 to 160 computations (28.9% saved)

regimes44.0ms (0.6%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
Calls

1 calls:

40.0ms
alpha
Results
AccuracySegmentsBranch
93.8%2alpha
Compiler

Compiled 135 to 102 computations (24.4% saved)

regimes21.0ms (0.3%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

1 calls:

16.0ms
alpha
Results
AccuracySegmentsBranch
93.8%2alpha
Compiler

Compiled 111 to 85 computations (23.4% saved)

regimes16.0ms (0.2%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
Calls

1 calls:

14.0ms
alpha
Results
AccuracySegmentsBranch
90.9%2alpha
Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes47.0ms (0.6%)

Counts
7 → 4
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
Outputs
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 2 2)
Calls

2 calls:

27.0ms
alpha
18.0ms
beta
Results
AccuracySegmentsBranch
77.9%4beta
75.5%6alpha
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes18.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
Outputs
(/.f64 2 2)
(/.f64 (/.f64 2 alpha) 2)
Calls

2 calls:

9.0ms
beta
8.0ms
alpha
Results
AccuracySegmentsBranch
54.1%2alpha
51.7%2beta
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -23.1b remaining (-59.8%)

Threshold costs -23.1b (-59.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
Outputs
(/.f64 2 2)
Calls

2 calls:

7.0ms
alpha
3.0ms
beta
Results
AccuracySegmentsBranch
39.5%1beta
39.5%1alpha
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999699677
-0.9999917152228547
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999699677
-0.9999917152228547
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.2725529767874716
241404.61419411263
Results
15.0ms144×body256valid
Compiler

Compiled 254 to 195 computations (23.2% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.2725529767874716
241404.61419411263
Results
15.0ms144×body256valid
Compiler

Compiled 236 to 195 computations (17.4% saved)

bsearch60.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
60.0ms
0.2725529767874716
241404.61419411263
Results
58.0ms144×body256valid
Compiler

Compiled 200 to 168 computations (16% saved)

bsearch50.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2.0990806045547516e-8
1804035083.219722
9.0ms
-7.152938972635817e-143
-4.027654820841841e-143
19.0ms
-4.898055053176711e-124
-4.7321338815008104e-127
Results
26.0ms259×body256valid
14.0ms57×body1024valid
5.0ms32×body512valid
1.0msbody2048valid
Compiler

Compiled 396 to 357 computations (9.8% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.2725529767874716
241404.61419411263
Results
15.0ms144×body256valid
Compiler

Compiled 146 to 132 computations (9.6% saved)

simplify35.0ms (0.4%)

Algorithm
egg-herbie
Rules
244×unsub-neg
152×neg-mul-1
98×distribute-lft-neg-in
98×+-commutative
74×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067482
191482
2112482
3149482
4189482
5265482
6336482
7438482
8561482
9636482
10697482
11716482
12718482
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 32000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2))
(if (<=.f64 alpha 1360) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 230000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -5853278531842485/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -7688573379346283/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 alpha 58000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 32000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2))
(if (<=.f64 alpha 32000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2))
(if (<=.f64 alpha 32000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 (/.f64 beta alpha) (/.f64 (-.f64 beta -2) alpha)) 2))
(if (<=.f64 alpha 1360) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 1360) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 230000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 230000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -5853278531842485/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -7688573379346283/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -5853278531842485/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -7688573379346283/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))
(if (<=.f64 alpha 58000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 58000) 1 (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
1
Compiler

Compiled 197 to 149 computations (24.4% saved)

soundness629.0ms (7.9%)

Rules
1320×fma-def
1232×log-prod
1174×fma-def
1100×sub-neg
934×fma-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24237
37037
412237
524233
644933
775933
8161633
9379633
10762933
01169
125969
2390269
064512637
1177712141
2622212019
067621293
1196318723
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 227 to 146 computations (35.7% saved)

end115.0ms (1.4%)

Compiler

Compiled 396 to 288 computations (27.3% saved)

Profiling

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