Details

Time bar (total: 13.7s)

analyze37.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
0%0%56.2%43.8%0%0%0%1
0%0%56.2%43.8%0%0%0%2
25%14%42.1%43.8%0%0%0%3
37.5%21.1%35.1%43.8%0%0%0%4
56.3%31.6%24.6%43.8%0%0%0%5
65.6%36.9%19.3%43.8%0%0%0%6
76.6%43%13.2%43.8%0%0%0%7
82%46.1%10.1%43.8%0%0%0%8
87.9%49.4%6.8%43.8%0%0%0%9
90.8%51%5.2%43.8%0%0%0%10
93.8%52.7%3.5%43.8%0%0%0%11
95.4%53.6%2.6%43.8%0%0%0%12
Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.3s (9.9%)

Results
773.0ms6494×body256valid
378.0ms1060×body1024valid
121.0ms597×body512valid
63.0ms105×body2048valid
Bogosity

preprocess63.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
954×fma-neg_binary64
548×div-sub_binary64
439×sub-neg_binary64
372×times-frac_binary64
269×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
13938
26438
310938
420338
540434
686134
7206734
8548934
022
Stop Event
1×saturated
1×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 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 2 (+.f64 beta alpha) 4)))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 2) -1/2)
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify61.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
496×sub-neg_binary64
434×cancel-sign-sub-inv_binary64
399×associate-/l*_binary64
372×div-sub_binary64
352×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01119
12319
24019
36719
411919
524017
644917
775617
8158217
9368717
10745517
Stop Event
1×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 alpha (+.f64 beta 2))) 2) -1/2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(fma.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) -1/2 1/2)

eval1.0ms (0%)

Compiler

Compiled 77 to 49 computations (36.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New516
Fresh011
Picked000
Done000
Total527
Error
17.5b
Counts
7 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶17.5b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓2.9b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series59.0ms (0.4%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
3.0ms
beta
@inf
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
1.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms
beta
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms
alpha
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Compiler

Compiled 8135 to 6215 computations (23.6% saved)

rewrite95.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
585×fma-def_binary64
578×log-prod_binary64
369×fma-neg_binary64
328×pow2_binary64
224×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
124329
2378829
Stop Event
1×node limit
Counts
2 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Outputs
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simplify81.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
496×times-frac_binary64
487×fma-neg_binary64
410×associate-/l*_binary64
384×unswap-sqr_binary64
350×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02673385
16123310
220793272
Stop Event
1×node limit
Counts
134 → 221
Calls
Call 1
Inputs
(-.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 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 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)))
(log1p.f64 (expm1.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))
(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 (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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.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 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.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 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 (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 (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 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) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.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 (cbrt.f64 (*.f64 beta beta)) (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 (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 (cbrt.f64 (*.f64 beta beta)) (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) (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 8 (pow.f64 (+.f64 beta alpha) 3))) (-.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 8 (pow.f64 (+.f64 beta alpha) 3))) (-.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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 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 (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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.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 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.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 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.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 (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 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) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.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 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(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) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(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))
(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 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 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 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.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 (cbrt.f64 (*.f64 beta beta)) (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 (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 (cbrt.f64 (*.f64 beta beta)) (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) (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 8 (pow.f64 (+.f64 beta alpha) 3))) (-.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)))))
Outputs
(-.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 2 (+.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(-.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta 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 2 (+.f64 beta alpha))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(*.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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(*.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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(*.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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(*.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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))))
(*.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 (/.f64 1 (+.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))
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(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(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)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(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)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(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)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(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)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))))))
(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)
(+.f64 -1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(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)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(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 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (/.f64 (*.f64 1 (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(-.f64 (/.f64 (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(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 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(-.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha))))
(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)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (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 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha))))
(-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(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) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (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 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(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 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.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 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 2 (+.f64 beta alpha)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 4 (*.f64 (+.f64 beta alpha) -2))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha))))
(-.f64 (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(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)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))

eval88.0ms (0.6%)

Compiler

Compiled 5676 to 3547 computations (37.5% saved)

prune149.0ms (1.1%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New18932221
Fresh000
Picked011
Done000
Total18933222
Error
16.9b
Counts
222 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
17.1b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
18.0b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
18.1b
(/.f64 (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) 2)
18.0b
(/.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) 2)
25.4b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
29.8b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
32.6b
(/.f64 (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))) 2)
▶17.9b
(/.f64 (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) 2)
17.3b
(/.f64 (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))) 2)
17.7b
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
17.8b
(/.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
▶17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶17.8b
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
33.4b
(/.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)
17.5b
(/.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)
17.1b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
26.8b
(/.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
26.8b
(/.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
26.8b
(/.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
17.7b
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1) 2)
17.8b
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) 1) 2)
✓17.5b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
17.2b
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) 2)
17.3b
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2))) 2)
17.9b
(/.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1) 2)
18.0b
(/.f64 (+.f64 (*.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) 2)
25.4b
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) 1) 2)
29.7b
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) 1) 2)
▶17.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
17.7b
(/.f64 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1) 2)
19.1b
(/.f64 (+.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 2)
▶17.5b
(/.f64 (*.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))))))) 2)
17.5b
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
Compiler

Compiled 1719 to 1209 computations (29.7% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓0.0b
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓0.1b
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
✓2.9b
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 87 to 59 computations (32.2% saved)

series173.0ms (1.3%)

Counts
4 → 0
Calls

24 calls:

TimeVariablePointExpression
30.0ms
beta
@inf
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
1.0ms
beta
@inf
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
1.0ms
alpha
@0
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
1.0ms
alpha
@inf
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
1.0ms
alpha
@-inf
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
Compiler

Compiled 12505 to 9675 computations (22.6% saved)

rewrite76.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
583×log-prod_binary64
392×fma-def_binary64
331×pow2_binary64
300×fma-neg_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01261
127758
2400358
Stop Event
1×node limit
Counts
4 → 191
Calls
Call 1
Inputs
(-.f64 (/.f64 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)))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
Outputs
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-1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) -1)))))

simplify93.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
620×associate-/r*_binary64
437×fma-neg_binary64
292×distribute-rgt-neg-in_binary64
270×distribute-lft-neg-in_binary64
269×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03763673
18783485
232473451
Stop Event
1×node limit
Counts
191 → 267
Calls
Call 1
Inputs
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)
(+.f64 (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)
(+.f64 (-.f64 0 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) -1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2))
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(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) alpha)
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1))
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (*.f64 alpha (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2))
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha) 1) -1)
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 2 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1))
(fma.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) -1)
(fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) -1)
Outputs
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(+.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(+.f64 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(+.f64 (-.f64 0 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) -1)
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1 1)
(-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) 1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 -1 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
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(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(+.f64 0 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) 1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) alpha)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (*.f64 alpha (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 alpha (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 alpha (-.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (*.f64 alpha (+.f64 (-.f64 beta alpha) -2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (*.f64 alpha (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(*.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 alpha (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))))
(*.f64 alpha (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 alpha (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 alpha (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 3)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha) -1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha) 1) -1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(fma.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) -1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) 1 -1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) -1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) -1)
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓0.1b
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓4.8b
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
Compiler

Compiled 63 to 39 computations (38.1% saved)

series56.0ms (0.4%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
0.0ms
beta
@0
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
0.0ms
alpha
@-inf
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
0.0ms
alpha
@inf
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
0.0ms
alpha
@0
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
0.0ms
alpha
@0
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
Compiler

Compiled 8135 to 6215 computations (23.6% saved)

rewrite81.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
587×log-prod_binary64
547×fma-def_binary64
339×pow2_binary64
327×fma-neg_binary64
231×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
126129
2383929
Stop Event
1×node limit
Counts
2 → 109
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) 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simplify105.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
865×times-frac_binary64
691×fma-def_binary64
350×unswap-sqr_binary64
283×fma-neg_binary64
233×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02542387
16872308
223582296
Stop Event
1×node limit
Counts
109 → 144
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 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 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.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 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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(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))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (-.f64 beta alpha)) 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)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1)
(fma.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (-.f64 beta alpha)) 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 (/.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 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta 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 (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 (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 (-.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 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) 1)
(fma.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)) 1)
(fma.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)) 1)
(fma.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 1)
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (*.f64 -1 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) 1) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) -1) (*.f64 (+.f64 beta alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 beta alpha) 1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta alpha))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha))
(/.f64 (*.f64 (-.f64 beta alpha) -1) (+.f64 (neg.f64 (+.f64 beta 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 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(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))
(fma.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(fma.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -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)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta 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 (/.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))) (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta 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 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))))
(*.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 (/.f64 1 (+.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))))
(/.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 (+.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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))))
(/.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 (+.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))))
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(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (+.f64 (neg.f64 beta) alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 alpha beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (fma.f64 -1 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 -2 (+.f64 beta alpha))) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 -1 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 beta alpha)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (+.f64 (neg.f64 beta) alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 alpha beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) 1) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (fma.f64 -1 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 -2 (+.f64 beta alpha))) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) -1) (*.f64 (+.f64 beta alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (+.f64 (neg.f64 beta) alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 alpha beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (-.f64 beta alpha) 1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (+.f64 (neg.f64 beta) alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 alpha beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta alpha))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (-.f64 beta alpha) -1) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (+.f64 (neg.f64 beta) alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 alpha beta) (-.f64 -2 (+.f64 beta alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1 -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(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)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))))))
(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)
(+.f64 -1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
✓0.0b
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓0.3b
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓2.9b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 79 to 47 computations (40.5% saved)

series261.0ms (1.9%)

Counts
4 → 0
Calls

24 calls:

TimeVariablePointExpression
5.0ms
beta
@-inf
(sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
3.0ms
alpha
@-inf
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
3.0ms
alpha
@inf
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
2.0ms
beta
@0
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
2.0ms
alpha
@0
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Compiler

Compiled 29825 to 23530 computations (21.1% saved)

rewrite113.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
620×log-prod_binary64
570×fma-def_binary64
382×fma-neg_binary64
239×pow1/3_binary64
234×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01263
128663
2403363
Stop Event
1×node limit
Counts
4 → 244
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
Outputs
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simplify182.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
532×fma-neg_binary64
429×times-frac_binary64
396×cancel-sign-sub-inv_binary64
379×associate-/l*_binary64
159×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03486626
17416355
225326226
Stop Event
1×node limit
Counts
244 → 299
Calls
Call 1
Inputs
(-.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 (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 (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 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (cbrt.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 (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 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (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 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (sqrt.f64 (+.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)))
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(/.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))))))
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(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 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.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 (cbrt.f64 (*.f64 beta beta)) (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 (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 (cbrt.f64 (*.f64 beta beta)) (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) (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 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) 1)
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.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 (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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.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 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.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 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.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 (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 (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 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.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 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(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 (neg.f64 (+.f64 beta alpha)) -2)))
(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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(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))
(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 (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 (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 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (cbrt.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 (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 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (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 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) -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 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.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 (cbrt.f64 (*.f64 beta beta)) (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 (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 (cbrt.f64 (*.f64 beta beta)) (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) (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 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) -1)
(+.f64 0 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)
(*.f64 1 (sqrt.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)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1/2))
(/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.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) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.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) 3/2))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(exp.f64 (*.f64 1/2 (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)))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
Outputs
(-.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 2 (+.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(-.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 (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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta 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 2 (+.f64 beta alpha))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
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(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 4) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) 4) -1)
(+.f64 0 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3/2)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/2)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) 2)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(fabs.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3/2))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓0.1b
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
✓2.1b
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
✓2.8b
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
Compiler

Compiled 201 to 119 computations (40.8% saved)

series334.0ms (2.4%)

Counts
4 → 0
Calls

24 calls:

TimeVariablePointExpression
30.0ms
beta
@0
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
7.0ms
alpha
@-inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
4.0ms
alpha
@0
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
3.0ms
alpha
@inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
1.0ms
beta
@inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
Compiler

Compiled 38975 to 30680 computations (21.3% saved)

rewrite84.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
738×fma-def_binary64
367×fma-neg_binary64
284×expm1-udef_binary64
283×log1p-udef_binary64
259×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01467
134167
2494567
Stop Event
1×node limit
Counts
4 → 165
Calls
Call 1
Inputs
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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simplify129.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
775×unswap-sqr_binary64
711×fma-def_binary64
494×div-sub_binary64
363×fma-neg_binary64
196×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03243967
17783806
229573688
Stop Event
1×node limit
Counts
165 → 199
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(*.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(*.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2)) (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 9)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 9))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 9)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 9)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 9))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))) (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) 1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 1))
(pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1))
(fma.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1)
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 1 1)
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1)
(fma.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3) 1)
(fma.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)) 1)
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2) 1)
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) 1)
(fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) 1)
(fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(+.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))
(+.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) 1))
(+.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) 1)
(+.f64 (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (-.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (-.f64 beta alpha) (neg.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (neg.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
(fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 1)
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3))
(*.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (-.f64 beta alpha) 3)))
(/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 3))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3))
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) 3) (pow.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) 3))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 3)) (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (neg.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (neg.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1))
(fma.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2)) (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 9)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1)
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 beta alpha))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (neg.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1))
Outputs
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(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
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(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 beta alpha))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (neg.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
✓0.6b
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
✓0.7b
(cbrt.f64 (+.f64 beta (+.f64 alpha 2)))
✓17.5b
(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)
Compiler

Compiled 97 to 65 computations (33% saved)

series579.0ms (4.2%)

Counts
4 → 0
Calls

24 calls:

TimeVariablePointExpression
26.0ms
alpha
@0
(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)
10.0ms
beta
@0
(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)
3.0ms
beta
@inf
(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)
2.0ms
beta
@-inf
(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)
2.0ms
alpha
@inf
(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)
Compiler

Compiled 39385 to 32650 computations (17.1% saved)

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
680×log-prod_binary64
463×fma-def_binary64
271×fma-neg_binary64
259×log1p-udef_binary64
258×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01363
130349
2434449
Stop Event
1×node limit
Counts
4 → 111
Calls
Call 1
Inputs
(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)
(cbrt.f64 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1/3) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))))

simplify94.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
745×fma-def_binary64
517×associate-*l/_binary64
389×associate-*r/_binary64
326×associate-/r*_binary64
301×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02411852
14811785
217231702
Stop Event
1×node limit
Counts
111 → 155
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(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))
(+.f64 0 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1/3) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(fabs.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(+.f64 0 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) -2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) -2))
(*.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) -2) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -2/3)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2) 1)
(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) -1)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))
(exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) -2))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) -1))
(exp.f64 (*.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(+.f64 0 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))
(/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1)
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) -1)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
Outputs
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 (-.f64 beta 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 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta 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 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta 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 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.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)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta 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))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 4)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 1/6) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 1/6) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) -2)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) -1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 4))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(exp.f64 (*.f64 2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)

eval731.0ms (5.3%)

Compiler

Compiled 36536 to 24333 computations (33.4% saved)

prune423.0ms (3.1%)

Pruning

50 alts after pruning (47 fresh and 3 done)

PrunedKeptTotal
New1112361148
Fresh161127
Picked101
Done235
Total1131501181
Error
16.8b
Counts
1181 → 50
Alt Table
Click to see full alt table
StatusErrorProgram
17.9b
(/.f64 (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.7b
(/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.7b
(/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (-.f64 beta alpha)) 1) 2)
25.4b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
▶29.8b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
18.0b
(/.f64 (fma.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.9b
(/.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))) 1) 2)
17.7b
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
25.2b
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
19.3b
(/.f64 (fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
25.2b
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) 2)
▶27.7b
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
17.2b
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
✓17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) 2)
18.4b
(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
62.3b
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) 1/3) 2)
18.2b
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)) 2) 2)
18.2b
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 2) 2)
61.7b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 3) 2)
34.0b
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
33.4b
(/.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)
17.1b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
26.8b
(/.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
17.7b
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
✓17.5b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
27.6b
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha)) 1) 2)
▶17.5b
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
17.2b
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) 2)
17.6b
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (-.f64 beta alpha)) 1) 2)
17.8b
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 3) (-.f64 beta alpha)) 1) 2)
25.4b
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) 1) 2)
29.7b
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) 1) 2)
✓17.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
25.8b
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
31.5b
(/.f64 (+.f64 (*.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
▶19.1b
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
19.1b
(/.f64 (+.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 2)
30.4b
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)) 1) (/.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))))))) 2)
17.7b
(/.f64 (*.f64 (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1) (/.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))))))) 2)
17.8b
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) (/.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))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) (/.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))))))) 2)
30.5b
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 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))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (/.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))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 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))))))) 2)
34.1b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2)) 2)
17.5b
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
62.3b
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) 2)
Compiler

Compiled 2797 to 1995 computations (28.7% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓0.1b
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
✓2.9b
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
✓2.9b
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
Compiler

Compiled 123 to 77 computations (37.4% saved)

series95.0ms (0.7%)

Counts
3 → 0
Calls

18 calls:

TimeVariablePointExpression
0.0ms
alpha
@-inf
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
0.0ms
alpha
@inf
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
0.0ms
alpha
@0
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
0.0ms
beta
@0
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
0.0ms
alpha
@inf
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
Compiler

Compiled 9575 to 7350 computations (23.2% saved)

rewrite92.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
652×fma-def_binary64
381×fma-neg_binary64
293×log1p-udef_binary64
292×expm1-udef_binary64
272×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01754
138151
2515651
Stop Event
1×node limit
Counts
3 → 216
Calls
Call 1
Inputs
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 alpha (+.f64 alpha 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-1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 1))))))

simplify100.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
613×cancel-sign-sub-inv_binary64
514×fma-neg_binary64
336×unswap-sqr_binary64
331×distribute-rgt-neg-in_binary64
222×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03044669
17594544
230824538
Stop Event
1×node limit
Counts
216 → 180
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(-.f64 0 (log.f64 (/.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(-.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(-.f64 (-.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(-.f64 (log.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(-.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 2 (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) -1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(*.f64 3 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(*.f64 1/3 (*.f64 3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2) (*.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 -1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(neg.f64 (log.f64 (/.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))
(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) -1) 1)
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1 1)
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1 -1)
(fma.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) 1)
(fma.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) 1)
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) -1)
(fma.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) -1)
(fma.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)) -1)
(fma.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) -1)
(fma.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (*.f64 alpha (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(+.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(+.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))) 1)
(+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)
(-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(-.f64 0 (log.f64 (/.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(-.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(-.f64 (-.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(-.f64 (log.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(-.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 2 (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) -1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(*.f64 3 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(*.f64 1/3 (*.f64 3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2) (*.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 -1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(neg.f64 (log.f64 (/.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))
(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) -1) 1)
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1 1)
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1 -1)
(fma.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) 1)
(fma.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) 1)
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (*.f64 alpha -1) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) -1)
(fma.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) -1)
(fma.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)) -1)
(fma.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) -1)
(fma.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (*.f64 alpha (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) -1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(+.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) 1)
(-.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 0) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1)
(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 1))
Outputs
(-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 0 (log.f64 (/.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1)))
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(-.f64 (log.f64 -1) (+.f64 (log.f64 -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (log.f64 -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(+.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(+.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (/.f64 -1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(-.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (-.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (log.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 (neg.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -2))))) (*.f64 -1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(neg.f64 (+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -2)))) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/3 -1/3)))
(-.f64 (+.f64 1/3 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1/3)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -2)))))
(-.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (*.f64 -1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(-.f64 (neg.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/2 -1/2))
(-.f64 (+.f64 1/2 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1/2)) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(*.f64 2 (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
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(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
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(fma.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) -1)
(fma.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)) -1)
(fma.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) -1)
(fma.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (-.f64 -2 alpha)) -1)
(fma.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 -1 (/.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (*.f64 alpha (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) 1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 0) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1))
(/.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3) 1/3)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 3)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 1))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
✓0.1b
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
✓2.9b
(+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1)
Compiler

Compiled 65 to 38 computations (41.5% saved)

series83.0ms (0.6%)

Counts
3 → 0
Calls

18 calls:

TimeVariablePointExpression
6.0ms
beta
@0
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
1.0ms
alpha
@0
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
1.0ms
beta
@-inf
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
1.0ms
beta
@inf
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
0.0ms
alpha
@inf
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
Compiler

Compiled 11605 to 8780 computations (24.3% saved)

rewrite83.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
624×log-prod_binary64
532×fma-def_binary64
319×fma-neg_binary64
241×pow1/3_binary64
238×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
126742
2406842
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1)
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 beta alpha)))))) 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(-.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1))))))

simplify79.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
782×fma-def_binary64
403×unswap-sqr_binary64
288×fma-neg_binary64
261×associate-/r/_binary64
254×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03243051
17662971
226412925
Stop Event
1×node limit
Counts
157 → 212
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -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 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(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))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1 1)
(fma.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1)
(fma.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (-.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 -1 (/.f64 1 (/.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (-.f64 beta alpha))) 1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha))) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 beta 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 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta 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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.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 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.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)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) 1)
(fma.f64 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (neg.f64 (-.f64 beta alpha)) 1)
(fma.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) (-.f64 beta alpha) 1)
(fma.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)) 1)
(fma.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)) 1)
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(+.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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.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 (-.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 -1 (/.f64 1 (/.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (-.f64 beta alpha))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.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 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.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 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) (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)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (neg.f64 (-.f64 beta alpha)))
(*.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) (-.f64 beta alpha))
(*.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(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 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3) 1/3)
(pow.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (-.f64 beta alpha))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -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 (+.f64 alpha 2)) (-.f64 beta alpha)) -3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(+.f64 0 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 1)
(*.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (/.f64 1 (neg.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha (+.f64 beta alpha) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 (neg.f64 alpha) alpha))) (+.f64 beta alpha))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2)
(pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta 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 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -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 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) 2) (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) -1)) (/.f64 -1 (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) -1)))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(+.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta 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 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(+.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(+.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(+.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -3)) (-.f64 (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) -1) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -3)) (-.f64 (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) -1) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) 2)))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)))
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1))
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(fma.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1 -1)
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(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha))
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -3)) (-.f64 (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) -1) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) 2))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(+.f64 -1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) -2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha)))))
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 beta) alpha))
(+.f64 0 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 1)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (/.f64 1 (neg.f64 (-.f64 beta alpha))))
(*.f64 (+.f64 -2 (neg.f64 (+.f64 beta alpha))) (/.f64 1 (neg.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 beta alpha)))
(/.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 alpha beta))
(*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha (+.f64 beta alpha) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha (+.f64 beta alpha) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 (neg.f64 alpha) alpha))) (+.f64 beta alpha))
(*.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (neg.f64 (*.f64 alpha alpha)))))
(*.f64 (+.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3) 1/3)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 3)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3)) 1/3)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 beta alpha))))
(*.f64 (+.f64 -2 (neg.f64 (+.f64 beta alpha))) (/.f64 1 (neg.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 beta alpha)))
(/.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 alpha beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))

localize289.0ms (2.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (+.f64 2 (+.f64 alpha beta)))
✓0.1b
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha))
✓3.2b
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))))
✓17.8b
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1)
Compiler

Compiled 80 to 44 computations (45% saved)

series353.0ms (2.6%)

Counts
4 → 0
Calls

24 calls:

TimeVariablePointExpression
7.0ms
beta
@inf
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha))
6.0ms
alpha
@inf
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1)
2.0ms
beta
@-inf
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1)
2.0ms
alpha
@-inf
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1)
2.0ms
beta
@inf
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1)
Compiler

Compiled 27085 to 22925 computations (15.4% saved)

rewrite105.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
576×log-prod_binary64
552×fma-def_binary64
333×pow2_binary64
284×fma-neg_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
129243
2416743
Stop Event
1×node limit
Counts
4 → 220
Calls
Call 1
Inputs
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1)
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)) (/.f64 1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) 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simplify94.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
636×cancel-sign-sub-inv_binary64
575×fma-neg_binary64
268×log-prod_binary64
235×distribute-rgt-in_binary64
219×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04483690
110753568
243603553
Stop Event
1×node limit
Counts
220 → 323
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)) (/.f64 1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)))
(*.f64 1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1))
(*.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (/.f64 1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1) (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1)) (neg.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2)) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))
(pow.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1) (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1)) -1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
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(pow.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 2)
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1)))
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (-.f64 (+.f64 alpha (+.f64 beta 2)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1))) 1)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)) (/.f64 1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) (fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) -1)) (/.f64 1 (fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) -1)))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)) (/.f64 -1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2) (fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) -1)) (/.f64 -1 (fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) -1)))
(*.f64 1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(*.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 1)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 2))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(*.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1)))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (/.f64 1 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) -1)) (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1) (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) -1)) (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1))
(*.f64 (/.f64 1 (fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) -1)) (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) -1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1)) (neg.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) -1)) (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2)) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))
(*.f64 (/.f64 1 (fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) -1)) (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1))
(pow.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 1)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 3) 1/3)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 3)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)) 2)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3))) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) (-.f64 1 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 1 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1)))
(pow.f64 (/.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1) (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1)) -1)
(*.f64 (/.f64 1 (fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) -1)) (+.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) 2) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) -1) (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) -1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)) (fma.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)) 1))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 2))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1))))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1) 3))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)))
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))
(exp.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))
(exp.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) 1))
(exp.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))
(exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))
(exp.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(fma.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)) 1)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(fma.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 1 1)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(fma.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 1)
(fma.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha) 1)
(fma.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2)) 1)
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(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) -2) 4)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(+.f64 (log.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (log.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)))
(+.f64 (neg.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4)))
(log.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(log.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) -2) 4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(+.f64 (log.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (log.f64 (-.f64 2 (+.f64 alpha beta))))
(+.f64 (neg.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (log.f64 (-.f64 2 (+.f64 alpha beta))))
(log.f64 (/.f64 (-.f64 2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))
(-.f64 0 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(-.f64 0 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1)))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) -2) 4)))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (log.f64 (-.f64 2 (+.f64 alpha beta))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))) 1)
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(-.f64 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
0
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (log.f64 (-.f64 2 (+.f64 alpha beta))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (+.f64 2 (+.f64 alpha beta)))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 -2 (+.f64 alpha beta))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) -2) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 (+.f64 alpha beta) -2)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2)))))
(-.f64 (log.f64 (neg.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4))))
(-.f64 (log.f64 (+.f64 -8 (neg.f64 (pow.f64 (+.f64 alpha beta) 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4))))
(-.f64 (log.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4))))
(-.f64 (log.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) -2) 4))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (log.f64 (neg.f64 (-.f64 2 (+.f64 alpha beta)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (log.f64 (+.f64 alpha (+.f64 beta -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (log.f64 (+.f64 (+.f64 alpha beta) -2)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (log.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 2 alpha) beta)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (log.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (log.f64 (fma.f64 beta (-.f64 beta (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (log.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 alpha)) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 4)) (log.f64 (-.f64 (+.f64 alpha beta) 2)))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (log.f64 (neg.f64 (-.f64 2 (+.f64 alpha beta)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (log.f64 (+.f64 alpha (+.f64 beta -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (log.f64 (+.f64 (+.f64 alpha beta) -2)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))) (log.f64 (-.f64 (+.f64 2 alpha) beta)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (log.f64 (-.f64 (+.f64 alpha 2) beta)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (log.f64 (+.f64 2 (-.f64 alpha beta))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (log.f64 (+.f64 alpha (-.f64 2 beta))))
(-.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (log.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1)
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1)
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 2) (neg.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(*.f64 -1 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 0 (log.f64 (+.f64 alpha (+.f64 beta 2)))))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1)
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 2)
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1)))
(neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))
(neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (log.f64 (fma.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) -2) 4)))
(neg.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (log.f64 (-.f64 2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 3))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(log1p.f64 (-.f64 (+.f64 alpha (+.f64 beta 2)) 1))
(log1p.f64 (+.f64 (+.f64 2 (+.f64 alpha beta)) -1))
(log1p.f64 (+.f64 alpha (+.f64 beta 1)))
(log1p.f64 (+.f64 (+.f64 alpha beta) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 beta (+.f64 alpha 2)))

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))
✓0.0b
(pow.f64 (+.f64 beta alpha) 3)
✓6.1b
(/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))
✓27.2b
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1)
Compiler

Compiled 117 to 64 computations (45.3% saved)

series296.0ms (2.2%)

Counts
4 → 0
Calls

24 calls:

TimeVariablePointExpression
6.0ms
beta
@0
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1)
4.0ms
alpha
@0
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1)
3.0ms
alpha
@inf
(/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))
3.0ms
alpha
@inf
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1)
3.0ms
alpha
@-inf
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1)
Compiler

Compiled 33745 to 25800 computations (23.5% saved)

rewrite81.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
433×fma-neg_binary64
368×log1p-udef_binary64
367×expm1-udef_binary64
215×add-sqr-sqrt_binary64
208×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01871
143169
2631869
Stop Event
1×node limit
Counts
4 → 147
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))
(pow.f64 (+.f64 beta alpha) 3)
(*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 -2 (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) (*.f64 beta (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta (+.f64 alpha -2))) (*.f64 alpha (+.f64 beta (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha -2))) (*.f64 beta (+.f64 beta (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta (+.f64 beta alpha)) 1) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) beta) (*.f64 (+.f64 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egg-rr> (2) ((x fma.f64 beta (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))))))

simplify79.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
661×times-frac_binary64
394×cancel-sign-sub-inv_binary64
254×associate-*l*_binary64
243×associate-*r*_binary64
240×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03783654
110243528
243043427
Stop Event
1×node limit
Counts
147 → 215
Calls
Call 1
Inputs
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) 1)
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1))) 1)
(*.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1))
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) 3) 1) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4))) (-.f64 1 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) 1))))
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) -1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) -1))
(pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4))) 1))
(+.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(-.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))) 1)
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -8 (neg.f64 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 512 (pow.f64 (+.f64 beta alpha) 9))) (+.f64 64 (-.f64 (pow.f64 (+.f64 beta alpha) 6) (*.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 64 (pow.f64 (+.f64 beta alpha) 6))) (-.f64 8 (pow.f64 (+.f64 beta alpha) 3)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) 2)
(pow.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -8 (neg.f64 (pow.f64 (+.f64 beta alpha) 3)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 1 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))) (cbrt.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2)) (/.f64 beta (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (/.f64 beta (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 beta (+.f64 512 (pow.f64 (+.f64 beta alpha) 9))) (+.f64 64 (-.f64 (pow.f64 (+.f64 beta alpha) 6) (*.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(fma.f64 (/.f64 beta (-.f64 64 (pow.f64 (+.f64 beta alpha) 6))) (-.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (neg.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))))
(+.f64 (*.f64 beta (pow.f64 (+.f64 beta alpha) 2)) (*.f64 alpha (pow.f64 (+.f64 beta alpha) 2)))
(+.f64 (*.f64 alpha (pow.f64 (+.f64 beta alpha) 2)) (*.f64 beta (pow.f64 (+.f64 beta alpha) 2)))
(+.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 2) beta) (*.f64 (pow.f64 (+.f64 beta alpha) 2) alpha))
(+.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 2) alpha) (*.f64 (pow.f64 (+.f64 beta alpha) 2) beta))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 3))) 1)
(*.f64 (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) 2))
(*.f64 (pow.f64 (+.f64 beta alpha) 3) 1)
(*.f64 1 (pow.f64 (+.f64 beta alpha) 3))
(*.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 2)))
(*.f64 (sqrt.f64 (+.f64 beta alpha)) (*.f64 (sqrt.f64 (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 2)))
(*.f64 (pow.f64 (+.f64 beta alpha) 3/2) (pow.f64 (+.f64 beta alpha) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) 3) (+.f64 beta alpha))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta alpha)) 3) (pow.f64 (sqrt.f64 (+.f64 beta alpha)) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 2) 1) (+.f64 beta alpha))
(*.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha)))
(*.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (sqrt.f64 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta alpha)))
(/.f64 (pow.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 3) (pow.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) 3))
(/.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 3) (pow.f64 (-.f64 beta alpha) 3))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta alpha) 2)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (pow.f64 (+.f64 beta alpha) 2)) (-.f64 beta alpha))
(/.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
(sqrt.f64 (pow.f64 (+.f64 beta alpha) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta alpha) 3))))
(cbrt.f64 (pow.f64 (+.f64 beta alpha) 9))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta alpha) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 beta alpha))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 beta alpha))) 1))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 -2 (+.f64 beta alpha)))
(+.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) (*.f64 beta (+.f64 beta alpha)))
(+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha -2))) (*.f64 alpha (+.f64 beta (+.f64 alpha -2))))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha -2))) (*.f64 beta (+.f64 beta (+.f64 alpha -2))))
(+.f64 (*.f64 (*.f64 beta (+.f64 beta alpha)) 1) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) 1))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) beta) (*.f64 (+.f64 beta (+.f64 alpha -2)) alpha))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) alpha) (*.f64 (+.f64 beta (+.f64 alpha -2)) beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (*.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (*.f64 (-.f64 beta alpha) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (*.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (-.f64 beta (+.f64 alpha -2))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (*.f64 (-.f64 beta alpha) (-.f64 beta (+.f64 alpha -2))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (-.f64 beta (+.f64 alpha -2)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))) (-.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (-.f64 beta (+.f64 alpha -2)) (-.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta alpha)) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) 3)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2))) (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2))))))
(/.f64 (fma.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)) (neg.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2))))) (fma.f64 beta (+.f64 beta alpha) (neg.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 beta (+.f64 alpha -2))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta (+.f64 alpha -2))) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (+.f64 beta alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha -2)))
(/.f64 (*.f64 (+.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (-.f64 beta (+.f64 alpha -2)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
(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 (sqrt.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) 2))
(log.f64 (pow.f64 (exp.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)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))))
(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))
(fma.f64 beta (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))
(fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))
Outputs
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4) 1)
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4) 1)
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4)) 1) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4) 1)
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(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (*.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta))))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta))))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (*.f64 (-.f64 beta alpha) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta))))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (*.f64 (-.f64 beta alpha) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta)))))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (/.f64 (+.f64 beta alpha) 1)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (*.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (-.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 beta (+.f64 alpha -2))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (/.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (-.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 beta (-.f64 2 alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (*.f64 (-.f64 beta alpha) (-.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))
(*.f64 (*.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta))))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta))))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (-.f64 beta (+.f64 alpha -2)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 beta (+.f64 alpha -2))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (/.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (-.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 beta (-.f64 2 alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))) (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta))))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (*.f64 (-.f64 beta alpha) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta)))))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (/.f64 (+.f64 beta alpha) 1)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (-.f64 beta (+.f64 alpha -2)) (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))
(*.f64 (*.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta alpha)) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) 3)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2))) (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta alpha)) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) 3)) (+.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta alpha) 2)) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) (*.f64 beta (+.f64 beta alpha))))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta alpha)) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) 3)) (fma.f64 beta (*.f64 beta (pow.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 alpha -2) (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 -2 beta)))))))
(/.f64 (fma.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)) (neg.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2))))) (fma.f64 beta (+.f64 beta alpha) (neg.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))))
(/.f64 (+.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta alpha) 2)) (neg.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (+.f64 alpha -2) 2)))) (fma.f64 beta (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (neg.f64 (+.f64 alpha -2)))))
(/.f64 (-.f64 (*.f64 beta (*.f64 beta (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (+.f64 alpha -2) 2))) (*.f64 (+.f64 beta alpha) (+.f64 (-.f64 beta alpha) 2)))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (*.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) (*.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 beta (+.f64 alpha -2))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta (+.f64 alpha -2))) (-.f64 beta alpha))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta -2)) (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 beta alpha) 1) (+.f64 alpha (+.f64 beta -2)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (+.f64 beta alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta)))) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha -2)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (/.f64 (-.f64 beta (+.f64 alpha -2)) (+.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 (-.f64 beta alpha) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))
(/.f64 (*.f64 (+.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta)))) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 alpha (-.f64 -2 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (-.f64 beta (+.f64 alpha -2)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (/.f64 (-.f64 beta (+.f64 alpha -2)) (+.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 (-.f64 beta alpha) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta -2)) (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 beta alpha) 1) (+.f64 alpha (+.f64 beta -2)))
(pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) 1)
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 3)
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 2)
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) 3) 1/3)
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) 2))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha -2))))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) 3))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(fma.f64 beta (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))
(fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) (+.f64 alpha -2)))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) -2))
(*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))

localize81.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 beta (pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
✓0.2b
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
2.9b
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
✓24.4b
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
Compiler

Compiled 125 to 83 computations (33.6% saved)

series265.0ms (1.9%)

Counts
3 → 0
Calls

18 calls:

TimeVariablePointExpression
4.0ms
beta
@0
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
4.0ms
alpha
@inf
(fma.f64 beta (pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
3.0ms
beta
@-inf
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
3.0ms
alpha
@0
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
3.0ms
alpha
@-inf
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
Compiler

Compiled 31245 to 26935 computations (13.8% saved)

rewrite70.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
609×fma-def_binary64
386×fma-neg_binary64
306×expm1-udef_binary64
306×log1p-udef_binary64
243×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01851
144145
2562645
Stop Event
1×node limit
Counts
3 → 90
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(fma.f64 beta (pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) -1) (pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1/3) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1) (+.f64 2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) -1) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 0) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 1))))))

simplify82.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
443×times-frac_binary64
397×unswap-sqr_binary64
331×fma-neg_binary64
327×fma-def_binary64
253×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02151814
15181679
218221673
371121659
Stop Event
1×node limit
Counts
90 → 123
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) 1)
(*.f64 1 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) -1) (pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1/3) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (-.f64 beta alpha) 2))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 1 (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 -1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))
(cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))) 1)
(*.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 1)
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2))
(/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))
(/.f64 1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) 1))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (pow.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) 3))
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))
(/.f64 (*.f64 -1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) -1) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 2))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))
(exp.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) 1)
(-.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 0) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)
(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 1))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) 1)
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(*.f64 1 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 1)
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1/3))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) -1) (pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) -1))
(pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) -2)
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1/3) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/6) 4)
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))))
(/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))
(/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4))
(/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))
(/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (-.f64 beta alpha) 2))
(/.f64 (*.f64 1 (+.f64 (-.f64 beta alpha) -2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (+.f64 -2 (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 (-.f64 2 beta) alpha) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(/.f64 1 (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 -1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))) 1)
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(*.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 1)
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 4) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 3))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 4) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(/.f64 1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) 1))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(/.f64 -1 (pow.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) 3))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(/.f64 (*.f64 -1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) 1) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) -1) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3)
(/.f64 -1 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 2))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(log.f64 (exp.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3))))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 3))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(exp.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -3)
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(-.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) 1)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 0) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(*.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 3)) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 3)) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (-.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 3)) (fma.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (/.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 6))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 3)) (fma.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (/.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 6))) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) 1/3)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 3)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(-.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(-.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))

eval745.0ms (5.4%)

Compiler

Compiled 34850 to 22681 computations (34.9% saved)

prune574.0ms (4.2%)

Pruning

63 alts after pruning (56 fresh and 7 done)

PrunedKeptTotal
New1185201205
Fresh63642
Picked101
Done077
Total1192631255
Error
16.8b
Counts
1255 → 63
Alt Table
Click to see full alt table
StatusErrorProgram
17.9b
(/.f64 (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.7b
(/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.7b
(/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (-.f64 beta alpha)) 1) 2)
25.4b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
✓29.8b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
29.8b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta alpha)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
18.0b
(/.f64 (fma.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.9b
(/.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))) 1) 2)
17.7b
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha))) 1) 2)
17.7b
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
29.7b
(/.f64 (fma.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 beta alpha)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
25.2b
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
▶19.3b
(/.f64 (fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
25.2b
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) 2)
22.7b
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/6) 4) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
17.2b
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
27.7b
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
27.7b
(/.f64 (fma.f64 beta (pow.f64 (exp.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta))))) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
✓17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
✓17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) 2)
22.7b
(/.f64 (fma.f64 beta (*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
18.4b
(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
62.3b
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3) 1/3) 2)
18.2b
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)) 2) 2)
29.9b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)) 3) 2)
61.7b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 3) 2)
34.5b
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4)) -1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4) -1)) 2)
34.0b
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
33.4b
(/.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)
17.1b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
26.8b
(/.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
17.7b
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
✓17.5b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
27.6b
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha)) 1) 2)
17.5b
(/.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) 2)
✓17.5b
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
17.6b
(/.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.2b
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) 2)
17.6b
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (-.f64 beta alpha)) 1) 2)
17.8b
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 3) (-.f64 beta alpha)) 1) 2)
25.4b
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) 1) 2)
29.7b
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) 1) 2)
17.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha)))) 1) 2)
✓17.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
25.4b
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) (-.f64 beta alpha)) 1) 2)
31.5b
(/.f64 (+.f64 (*.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
✓19.1b
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
▶36.0b
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
▶19.1b
(/.f64 (+.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 2)
30.4b
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)) 1) (/.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))))))) 2)
17.7b
(/.f64 (*.f64 (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1) (/.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))))))) 2)
17.8b
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) (/.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))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) (/.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))))))) 2)
30.5b
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 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))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (/.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))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 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))))))) 2)
29.6b
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1) 2)) 2)
34.1b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2)) 2)
17.5b
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
62.3b
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) 2)
Compiler

Compiled 3455 to 2472 computations (28.5% saved)

localize110.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
0.0b
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓0.1b
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
✓2.9b
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
Compiler

Compiled 194 to 142 computations (26.8% saved)

series127.0ms (0.9%)

Counts
3 → 0
Calls

18 calls:

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

Compiled 12005 to 9395 computations (21.7% saved)

rewrite92.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
324×expm1-udef_binary64
324×log1p-udef_binary64
225×add-sqr-sqrt_binary64
216×*-un-lft-identity_binary64
216×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01960
146351
2705751
Stop Event
1×node limit
Counts
3 → 202
Calls
Call 1
Inputs
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))
(*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) (/.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (neg.f64 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simplify101.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
623×fma-neg_binary64
302×unswap-sqr_binary64
263×associate-*l/_binary64
207×distribute-rgt-out_binary64
198×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02885622
17585103
231894460
Stop Event
1×node limit
Counts
202 → 217
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(-.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(-.f64 (-.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) -1/3)
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) -1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3)
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) -1/3)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) (/.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 1/3))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 1/3))
(*.f64 3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(*.f64 -1/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (-.f64 (sqrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 -3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (*.f64 3 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (*.f64 3 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(/.f64 1 (/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)))
(/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))
(/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4) (*.f64 2 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) 8) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (*.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) 3) -1/27) (+.f64 (*.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) (-.f64 1/9 (*.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 (*.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) 1/9) (-.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) 1/3) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) 1/3) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (*.f64 1/3 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (*.f64 1/3 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (*.f64 -1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2)
(neg.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2) (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 1))
(fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta))) -1)
(fma.f64 2 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1/3 -1/3)
(fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(fma.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 1 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 1/3 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1/3)
(fma.f64 1/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4)) (cbrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 (sqrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (sqrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) -1)
(fma.f64 2/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) 1)
(-.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 0) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(*.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)
(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (+.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (fma.f64 -1/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (*.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) -1))
(+.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3)
(+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) (+.f64 -1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))
(+.f64 -1/3 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)))
(+.f64 (neg.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) 1/3)
(+.f64 (*.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) 1) -1/3)
(+.f64 (*.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) 3) -1)
(+.f64 (*.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (*.f64 3 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) -1)
(+.f64 (+.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) -1/3)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(-.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(-.f64 (-.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) -1/3)
(/.f64 1 (/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)))
(/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))
(/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4) (*.f64 2 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) 8) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (*.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) 3) -1/27) (+.f64 (*.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) (-.f64 1/9 (*.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 (*.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) 1/9) (-.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) 1/3) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) 1/3) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (*.f64 1/3 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (*.f64 alpha -1) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (*.f64 1/3 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (*.f64 -1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2)
(neg.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2) (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 1))
(fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta))) -1)
(fma.f64 2 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1/3 -1/3)
(fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(fma.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 1 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 1/3 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1/3)
(fma.f64 1/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4)) (cbrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(fma.f64 (sqrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (sqrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) -1)
(fma.f64 2/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
Outputs
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (-.f64 -1 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -1/3 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2/3)))
(fma.f64 alpha (/.f64 1/3 (+.f64 beta (+.f64 alpha 2))) -1/3)
(-.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 -2/3 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2/3 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1/3 1/3)
(-.f64 0 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) 1)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) 4) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2) (/.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 4)) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 4 1) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))
(+.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (-.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha))) -1/3)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (-.f64 -1 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))
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(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 5/3)
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 5/3)
(fma.f64 (sqrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (sqrt.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 5/3)
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 5/3)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) -1)
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(fma.f64 2/3 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 5/3)
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 5/3)

localize10.0ms (0.1%)

Compiler

Compiled 30 to 17 computations (43.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
0.0b
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓5.7b
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
Compiler

Compiled 79 to 47 computations (40.5% saved)

series154.0ms (1.1%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
3.0ms
alpha
@-inf
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
2.0ms
beta
@0
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
2.0ms
alpha
@0
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
1.0ms
beta
@0
(+.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)
1.0ms
beta
@-inf
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
Compiler

Compiled 20195 to 16115 computations (20.2% saved)

rewrite75.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
620×log-prod_binary64
603×fma-def_binary64
408×fma-neg_binary64
233×log1p-udef_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
128629
2404729
Stop Event
1×node limit
Counts
2 → 163
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)
Outputs
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simplify211.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
732×fma-neg_binary64
459×cancel-sign-sub-inv_binary64
338×div-sub_binary64
172×log-prod_binary64
159×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03413969
18433905
231193845
Stop Event
1×node limit
Counts
163 → 265
Calls
Call 1
Inputs
(+.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)
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(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 (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 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) 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 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1)
(fma.f64 (pow.f64 1 1/2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1/2) 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 (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 (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 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.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 (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 (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 (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 (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) (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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.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 (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 (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 (-.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 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.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 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) 1)
Outputs
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(+.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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.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 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 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 (/.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 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 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 (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 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 (pow.f64 1 1/2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.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 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.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 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 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 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.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 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta 2) alpha))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (-.f64 -2 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 1 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
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(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 (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 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 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 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) 1)
(fma.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 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)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 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)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(fma.f64 (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (/.f64 (*.f64 beta (-.f64 (-.f64 beta 2) alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(fma.f64 (+.f64 beta (-.f64 -2 alpha)) (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta 2) alpha) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (-.f64 -2 alpha)) 1)

localize62.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓0.0b
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
✓0.1b
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
✓2.9b
(+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)
Compiler

Compiled 173 to 107 computations (38.2% saved)

series296.0ms (2.2%)

Counts
3 → 0
Calls

18 calls:

TimeVariablePointExpression
48.0ms
beta
@-inf
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
15.0ms
alpha
@-inf
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
11.0ms
alpha
@inf
(+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)
6.0ms
beta
@0
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
3.0ms
alpha
@inf
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
Compiler

Compiled 24555 to 19935 computations (18.8% saved)

rewrite77.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
759×fma-def_binary64
465×fma-neg_binary64
333×expm1-udef_binary64
333×log1p-udef_binary64
211×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01875
143654
2619954
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))))
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (#(struct:change 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simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
533×fma-def_binary64
488×times-frac_binary64
482×unswap-sqr_binary64
327×associate-/l*_binary64
291×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02202496
15672441
219902333
Stop Event
1×node limit
Counts
103 → 135
Calls
Call 1
Inputs
(-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)
(*.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3))
(expm1.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 1))
(fma.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1 -1)
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(fma.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) -1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(fma.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(fma.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(+.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 1)
(-.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 0) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))))
(/.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) 1)
(*.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 alpha (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
Outputs
(-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) -1)
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(+.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) 1)) (/.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) 1))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) -1)
(*.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) -1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) -1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) -1)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) -1)
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(+.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) 1)) (/.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(+.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) 1)) (/.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(+.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) 1)) (/.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4))))
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(/.f64 (fma.f64 (/.f64 beta (+.f64 alpha (-.f64 beta -2))) (/.f64 beta (+.f64 alpha (-.f64 beta -2))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2))))))
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (-.f64 beta -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(/.f64 alpha (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (neg.f64 alpha)))
(*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha)
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (neg.f64 alpha)))
(*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha)
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (neg.f64 alpha)))
(*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha)
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (neg.f64 alpha)))
(*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha)
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (neg.f64 alpha)))
(*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha)
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (neg.f64 alpha)))
(*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha)
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 6))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 alpha (+.f64 alpha (-.f64 beta -2))) 2)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.7b
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
0.7b
(cbrt.f64 (+.f64 beta (+.f64 alpha 2)))
✓2.9b
(exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
✓17.4b
(fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
Compiler

Compiled 101 to 67 computations (33.7% saved)

series262.0ms (1.9%)

Counts
3 → 0
Calls

18 calls:

TimeVariablePointExpression
11.0ms
alpha
@0
(fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
4.0ms
beta
@0
(fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
3.0ms
beta
@-inf
(fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
3.0ms
alpha
@-inf
(fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
3.0ms
alpha
@inf
(fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
Compiler

Compiled 28625 to 23810 computations (16.8% saved)

rewrite67.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
750×log-prod_binary64
479×fma-def_binary64
290×log1p-udef_binary64
289×expm1-udef_binary64
286×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
132658
2450658
Stop Event
1×node limit
Counts
3 → 70
Calls
Call 1
Inputs
(fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 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((x *.f64 1 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2) 4/9))) (cbrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2/3) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (*.f64 2 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (*.f64 1/2 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 1))))))

simplify50.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
877×fma-def_binary64
579×unswap-sqr_binary64
524×distribute-rgt-in_binary64
512×distribute-lft-in_binary64
219×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01584294969099
13411776
213951705
Stop Event
1×node limit
Counts
70 → 109
Calls
Call 1
Inputs
(+.f64 1 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))
(+.f64 0 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(+.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1)
(+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))) 1)
(*.f64 1 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 3) 1) (fma.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (*.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) -1) (expm1.f64 (fma.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))) (log.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))))
(pow.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))) 1))
(+.f64 0 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 1 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -2/3)
(pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (E.f64) (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2) 4/9))) (cbrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (pow.f64 (exp.f64 -2/3) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 0 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (*.f64 2 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (*.f64 1/2 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (*.f64 1/2 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (*.f64 2 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) 1)
(pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 1))
Outputs
(+.f64 1 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 0 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 (fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1)
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(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -2/3)
(*.f64 (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/6) (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/6)) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/6) (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/6)))
(*.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/6) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/6)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/6) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/6)))
(pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (E.f64) (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (E.f64) (*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha))))
(pow.f64 (E.f64) (*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha))))) (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2) 4/9))) (cbrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (+.f64 beta 2) alpha)) 2) 4/9))) (cbrt.f64 (*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 2) 4/9))) (cbrt.f64 (*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 beta 2) alpha))) 2)) (cbrt.f64 (log.f64 (+.f64 (+.f64 beta 2) alpha))))
(pow.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (pow.f64 (exp.f64 -2/3) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (pow.f64 (exp.f64 -2/3) (sqrt.f64 (log.f64 (+.f64 (+.f64 beta 2) alpha)))) (sqrt.f64 (log.f64 (+.f64 (+.f64 beta 2) alpha))))
(pow.f64 (pow.f64 (exp.f64 -2/3) (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 2))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 0)
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 0 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (*.f64 2 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 1/2 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (*.f64 1/2 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 2 (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) (*.f64 1/3 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 3)
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 2)
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2) 4/9))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (+.f64 beta 2) alpha)) 2) 4/9))
(fabs.f64 (*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (pow.f64 (exp.f64 -2/3) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 3))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (log.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 1))
(*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -2/3 (log.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 -2/3 (log.f64 (+.f64 alpha (+.f64 beta 2))))

eval807.0ms (5.9%)

Compiler

Compiled 43774 to 30727 computations (29.8% saved)

prune707.0ms (5.2%)

Pruning

57 alts after pruning (49 fresh and 8 done)

PrunedKeptTotal
New1167201187
Fresh222951
Picked101
Done3811
Total1193571250
Error
16.8b
Counts
1250 → 57
Alt Table
Click to see full alt table
StatusErrorProgram
17.7b
(/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
25.4b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
✓29.8b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
29.8b
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta alpha)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
17.7b
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha))) 1) 2)
17.7b
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
29.7b
(/.f64 (fma.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 beta alpha)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
22.7b
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/6) 4) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
17.2b
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
27.7b
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
27.7b
(/.f64 (fma.f64 beta (pow.f64 (exp.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta))))) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
20.0b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
19.9b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
✓17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3)) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
53.9b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (/.f64 (fma.f64 (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) -1/9) (+.f64 (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) 1/3)))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (*.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) -1))))) 2)
17.7b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta))) -1))))) 2)
53.5b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (fma.f64 alpha (/.f64 1/3 (+.f64 beta (+.f64 alpha 2))) -1/3))))) 2)
53.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (/.f64 (fma.f64 (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) -1/9) (+.f64 (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) 1/3)))))) 2)
✓17.1b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) 2)
22.7b
(/.f64 (fma.f64 beta (*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
18.4b
(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
62.3b
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3) 2)
61.7b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3) 2)
34.0b
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
33.4b
(/.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)
26.9b
(/.f64 (-.f64 (/.f64 (*.f64 beta (-.f64 (-.f64 beta 2) alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)
17.1b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
26.8b
(/.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
17.7b
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
✓17.5b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
27.6b
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha)) 1) 2)
17.5b
(/.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) 2)
✓17.5b
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
17.6b
(/.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.2b
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) 2)
17.6b
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (-.f64 beta alpha)) 1) 2)
17.8b
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 3) (-.f64 beta alpha)) 1) 2)
25.4b
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) 1) 2)
29.7b
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) 1) 2)
17.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha)))) 1) 2)
✓17.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
25.4b
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) (-.f64 beta alpha)) 1) 2)
31.5b
(/.f64 (+.f64 (*.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
✓19.1b
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
✓36.0b
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
19.1b
(/.f64 (+.f64 (fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
30.4b
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)) 1) (/.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))))))) 2)
17.8b
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) (/.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))))))) 2)
17.5b
(/.f64 (*.f64 (+.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 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))))))) 2)
34.1b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) 2)
62.3b
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 2)
Compiler

Compiled 1688 to 1227 computations (27.3% saved)

regimes357.0ms (2.6%)

Counts
109 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha)))) 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 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
(/.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) 1) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) 1) 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 (*.f64 beta (-.f64 (-.f64 beta 2) alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3)) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (*.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) -1))))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
(/.f64 (+.f64 (*.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 3) (-.f64 beta alpha)) 1) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) 2)
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) 2)
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2)) 2)
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2)) 2)
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 3) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 3) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3) 2)
(/.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) 2)
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (fma.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 beta alpha)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta alpha)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (fma.f64 alpha (/.f64 1/3 (+.f64 beta (+.f64 alpha 2))) -1/3))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta))) -1))))) 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 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))))))) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) (/.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))))))) 2)
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (/.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))))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (/.f64 (fma.f64 (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) -1/9) (+.f64 (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) 1/3)))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (/.f64 (fma.f64 (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) -1/9) (+.f64 (*.f64 (/.f64 1/3 (+.f64 2 (+.f64 alpha beta))) alpha) 1/3)))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)) 2) 2)
(/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) 1) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) 2)
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 3) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (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))) 2)
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 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))))))) 2)
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) (/.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))))))) 2)
(/.f64 (*.f64 (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1) (/.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))))))) 2)
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 (exp.f64 (*.f64 -2/3 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (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) 2)
(/.f64 (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 beta (pow.f64 (exp.f64 (*.f64 -3 (log.f64 (+.f64 2 (+.f64 alpha beta))))) 1/3) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (fma.f64 beta (pow.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/6) 4) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (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))) 2)
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
(/.f64 (*.f64 (+.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 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))))))) 2)
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)) 1) (/.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))))))) 2)
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) 2) 2)
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1) 2)) 2)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) 1)) 3) 2)
(/.f64 (+.f64 (*.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) 2)
(/.f64 (fma.f64 beta (*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -3/2) 1/3)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
(/.f64 (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) 2)
(/.f64 (fma.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))) 1) 2)
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 2) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4)) -1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)) 4) -1)) 2)
Outputs
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
Calls

5 calls:

125.0ms
beta
51.0ms
alpha
26.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
24.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
17.1b1alpha
17.1b1beta
17.1b1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
17.1b1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
17.1b1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 3124 to 2056 computations (34.2% saved)

regimes152.0ms (1.1%)

Counts
63 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha)))) 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 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
(/.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) 1) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) 1) 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 (*.f64 beta (-.f64 (-.f64 beta 2) alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3)) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 beta (+.f64 2 alpha))) alpha) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (*.f64 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3)) -1))))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
(/.f64 (+.f64 (*.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -1/2) 2) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 3) (-.f64 beta alpha)) 1) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) 2)
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) 2)
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2)) 2)
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2)) 2)
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 3) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 3) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) 1) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3) 2)
(/.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1)) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) 2)
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (fma.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 beta alpha)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (*.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta alpha)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) 1) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (fma.f64 alpha (/.f64 1/3 (+.f64 beta (+.f64 alpha 2))) -1/3))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta))) -1))))) 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 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))))))) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 2)
Outputs
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3)) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
Calls

5 calls:

46.0ms
beta
29.0ms
alpha
17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
17.1b1alpha
17.1b1beta
17.1b1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
17.1b1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
17.1b1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 1640 to 1083 computations (34% saved)

regimes43.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha)))) 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 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
(/.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) 1) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) 1) 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 (*.f64 beta (-.f64 (-.f64 beta 2) alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
Outputs
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
Calls

5 calls:

11.0ms
alpha
9.0ms
beta
6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
3.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
17.1b1alpha
17.1b1beta
17.1b1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
17.1b1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
17.1b1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 450 to 302 computations (32.9% saved)

regimes43.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha)))) 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 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
(/.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) 1) 2)
Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

5 calls:

16.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms
alpha
7.0ms
beta
5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
3.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
17.1b1alpha
17.1b1beta
17.1b1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
17.1b1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
17.1b1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 261 to 176 computations (32.6% saved)

regimes20.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 1 (-.f64 beta alpha)))) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
Calls

5 calls:

6.0ms
beta
4.0ms
alpha
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
17.5b1alpha
17.5b1beta
17.5b1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
17.5b1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
17.5b1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 135 to 94 computations (30.4% saved)

regimes18.0ms (0.1%)

Accuracy

Total -18.5b remaining (-105.3%)

Threshold costs -18.5b (-105.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

6.0ms
beta
3.0ms
alpha
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
17.5b1alpha
17.5b1beta
17.5b1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
17.5b1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
17.5b1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 84 to 58 computations (31% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×+-commutative_binary64
20×*-commutative_binary64
17×sub-neg_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059239
199235
2141235
3176233
4199233
5209233
6212233
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3)) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.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 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
Outputs
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2/3))))) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 2/3))))) (*.f64 1/3 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/3) (*.f64 (*.f64 1/3 (fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) -1) 1/3 (+.f64 -2/3 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 2/3)))) -2))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha)) -1/3)) (*.f64 1/3 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (*.f64 1/3 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 beta alpha)) alpha)) -1/3))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (/.f64 1/3 (/.f64 (+.f64 2 (+.f64 beta alpha)) alpha)) -1/3) -2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/3))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 2 (+.f64 1/3 (/.f64 -1/3 (/.f64 (+.f64 2 (+.f64 beta alpha)) alpha)))) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/3))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.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 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2)
(/.f64 (+.f64 (*.f64 1 (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 1 (-.f64 beta alpha)) 2)
Compiler

Compiled 173 to 129 computations (25.4% saved)

soundness0.0ms (0%)

end105.0ms (0.8%)

Compiler

Compiled 161 to 113 computations (29.8% saved)

Profiling

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