Details

Time bar (total: 13.4s)

analyze38.0ms (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 (9.5%)

Results
757.0ms6452×body256valid
306.0ms1057×body1024valid
150.0ms644×body512valid
40.0ms103×body2048valid
Bogosity

preprocess67.0ms (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)

simplify62.0ms (0.5%)

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
17.8b
Counts
7 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶17.8b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓1.7b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series31.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
beta
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
3.0ms
beta
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
3.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
2.0ms
beta
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
2.0ms
alpha
@0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 2500 to 1966 computations (21.4% saved)

rewrite82.0ms (0.6%)

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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simplify107.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
881×times-frac_binary64
836×fma-neg_binary64
337×fma-def_binary64
224×+-commutative_binary64
191×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04865550
114175265
252715236
Stop Event
1×node limit
Counts
182 → 365
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)) (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 (pow.f64 (/.f64 1 beta) 3) (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (/.f64 -1 beta) 3)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (pow.f64 alpha 3)))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (pow.f64 (/.f64 1 alpha) 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
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(*.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 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)) (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 2)) (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 3) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2)))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 beta 3))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))))
(-.f64 (fma.f64 (pow.f64 (/.f64 1 beta) 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) 2) (/.f64 (fma.f64 alpha 2 2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 (pow.f64 (/.f64 1 beta) 3) (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (fma.f64 (/.f64 1 (pow.f64 beta 3)) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (*.f64 (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 2 (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))))))
(-.f64 (fma.f64 (pow.f64 (/.f64 1 beta) 3) (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (neg.f64 alpha)) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 (pow.f64 (/.f64 1 beta) 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) 2)) (/.f64 (fma.f64 alpha 2 2) beta))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 2 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (neg.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (+.f64 alpha 2)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (/.f64 -1 beta) 3)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (*.f64 -1 (+.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 -1 beta) 3))) (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (fma.f64 -1 (fma.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (+.f64 alpha 2)) (-.f64 (fma.f64 alpha -1 -2) alpha))) 2) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (pow.f64 alpha 3)))))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (neg.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 2 beta) 2) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3))))))
(+.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3))) (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 (-.f64 (neg.f64 beta) beta) -2)) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(fma.f64 (*.f64 (+.f64 2 beta) (-.f64 (fma.f64 beta -1 -2) beta)) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))
(fma.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 (/.f64 1 (pow.f64 alpha 3)) (-.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 (-.f64 (neg.f64 beta) beta) -2)) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
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1
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1
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-1
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(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(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 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(-.f64 (*.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(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 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(-.f64 (/.f64 (*.f64 beta (+.f64 alpha (-.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))

eval193.0ms (1.4%)

Compiler

Compiled 11077 to 7567 computations (31.7% saved)

prune95.0ms (0.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New35114365
Fresh000
Picked011
Done000
Total35115366
Error
0.1b
Counts
366 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
45.3b
(/.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 (-.f64 (neg.f64 beta) beta) -2)) (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2)) alpha)) 2)
17.9b
(/.f64 (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) 2)
▶17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1))) 2)
▶17.8b
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)
18.4b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 2)
43.7b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
46.7b
(/.f64 (-.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (/.f64 1 alpha) 3))) (*.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (/.f64 -1 alpha) 4))) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
▶32.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓17.8b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
19.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
46.7b
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
61.6b
(/.f64 (+.f64 -1 1) 2)
17.8b
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶41.6b
(/.f64 2 2)
Compiler

Compiled 575 to 439 computations (23.7% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 alpha (+.f64 (+.f64 alpha beta) 2))
✓0.0b
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
✓0.0b
(fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1)))
✓1.7b
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1)
Compiler

Compiled 88 to 50 computations (43.2% saved)

series47.0ms (0.4%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
beta
@0
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
3.0ms
beta
@inf
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1)
3.0ms
beta
@0
(fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1)))
3.0ms
alpha
@0
(fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1)))
2.0ms
beta
@0
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1)
Compiler

Compiled 3938 to 3160 computations (19.8% saved)

rewrite105.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
916×prod-diff_binary64
475×fma-def_binary64
331×fma-neg_binary64
239×log1p-udef_binary64
238×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
129458
2414658
Stop Event
1×node limit
Counts
4 → 259
Calls
Call 1
Inputs
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1)
(fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1)))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 alpha (+.f64 (+.f64 alpha beta) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) alpha -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha 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simplify161.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
616×fma-def_binary64
436×associate-*r*_binary64
405×associate-*l*_binary64
314×associate-+l+_binary64
222×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085912633
1249610238
Stop Event
1×node limit
Counts
355 → 597
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))))) 1)
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)) (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 (/.f64 1 beta) 2)))) (/.f64 alpha beta))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 (/.f64 1 beta) 2)) (*.f64 (pow.f64 (/.f64 1 beta) 3) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 alpha beta))
2
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 (/.f64 -1 beta) 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2))
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 (/.f64 -1 beta) 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (/.f64 -1 beta) 3)) 2)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (*.f64 -1 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))) (pow.f64 (/.f64 1 alpha) 4)) (+.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (pow.f64 (/.f64 -1 alpha) 3))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (pow.f64 (/.f64 -1 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (pow.f64 (/.f64 -1 alpha) 3)))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))))
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(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(/.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 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) alpha)
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) -1)
(neg.f64 (/.f64 alpha (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 1 alpha) 3)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 (pow.f64 (/.f64 -1 alpha) 3) (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 1 alpha) 3)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(fma.f64 (pow.f64 (/.f64 -1 alpha) 3) (pow.f64 (+.f64 beta 2) 3) (-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2)))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2)))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 3))))))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (neg.f64 (+.f64 beta 2)) (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) (fma.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (/.f64 -1 alpha) 4)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (neg.f64 (+.f64 beta 2)) (pow.f64 alpha 3))))) (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) 1))
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (*.f64 (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (-.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) -1))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (*.f64 (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (neg.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 2))))) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (-.f64 (-.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha)) -1))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta)) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (/.f64 alpha beta)) -1)
(fma.f64 (neg.f64 (pow.f64 (/.f64 1 beta) 2)) (*.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 alpha beta) -1))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) -1)
(+.f64 (-.f64 (fma.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha beta)) (*.f64 alpha (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 1 beta) 2)))) -1)
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2))) 1))
(+.f64 (/.f64 alpha beta) (fma.f64 (neg.f64 (pow.f64 (/.f64 -1 beta) 2)) (*.f64 alpha (+.f64 alpha 2)) -1))
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2
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2
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(-.f64 (/.f64 1 alpha) (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2)))
(+.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 2) (+.f64 beta 2))) (/.f64 1 alpha)))
(fma.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 1 alpha)))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 3) (-.f64 (/.f64 1 alpha) (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2))))
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(/.f64 1 alpha)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 beta 2))) (/.f64 1 alpha))
(fma.f64 -1 (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 -1 alpha) 2)) (/.f64 1 alpha))
(-.f64 (/.f64 1 alpha) (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 -1 alpha) 2)))
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(/.f64 1 (+.f64 2 alpha))
(/.f64 1 (+.f64 alpha 2))
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(-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)))
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(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (+.f64 2 alpha))))
(+.f64 (/.f64 1 beta) (neg.f64 (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 1 beta) 2))))
(-.f64 (/.f64 1 beta) (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 1 beta) 2)))
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(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (+.f64 2 alpha))))
(+.f64 (/.f64 1 beta) (neg.f64 (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 -1 beta) 2))))
(-.f64 (/.f64 1 beta) (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 -1 beta) 2)))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (pow.f64 (+.f64 2 alpha) 2)))))
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(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2)))
(-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))))
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))))))
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1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
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(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) 1) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 1 alpha) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))))
(-.f64 (fma.f64 (pow.f64 (/.f64 -1 alpha) 3) (pow.f64 (+.f64 beta 2) 3) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) 1)) (/.f64 (+.f64 beta 2) alpha))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) 1))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) 1))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2) 1) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 3)))))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (neg.f64 (+.f64 beta 2)) (pow.f64 alpha 3))))) (/.f64 (+.f64 beta 2) alpha))
(/.f64 alpha (+.f64 2 alpha))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (*.f64 (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2))))))
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(/.f64 alpha beta)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta))
(fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (*.f64 alpha (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 1 beta) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))
(fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))
(-.f64 (fma.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha beta)) (*.f64 alpha (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 1 beta) 2))))
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(fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (fma.f64 -1 (*.f64 (+.f64 alpha 2) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha (pow.f64 (/.f64 1 beta) 4)))) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))
(-.f64 (-.f64 (fma.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha beta)) (*.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha (pow.f64 (/.f64 1 beta) 4)))) (*.f64 alpha (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 1 beta) 2))))
(/.f64 alpha beta)
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(+.f64 (/.f64 alpha beta) (neg.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2))))
(-.f64 (/.f64 alpha beta) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))))
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(fma.f64 -1 (*.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1 (pow.f64 beta 3))) (+.f64 (/.f64 alpha beta) (*.f64 -1 (+.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2)) (*.f64 (+.f64 alpha 2) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha (pow.f64 (/.f64 -1 beta) 4))))))))
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(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
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(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1) 2))
(fabs.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -2)
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 4 (+.f64 (*.f64 -2 (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(fabs.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) alpha)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (*.f64 (neg.f64 alpha) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (neg.f64 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 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 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (+.f64 (*.f64 -2 (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 alpha (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) -1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(neg.f64 (/.f64 alpha (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (*.f64 (neg.f64 alpha) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (neg.f64 alpha) (-.f64 (-.f64 -2 alpha) beta))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(fabs.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.1b
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series10.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
8.0ms
alpha
@-inf
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
1.0ms
alpha
@0
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
1.0ms
alpha
@inf
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 236 to 205 computations (13.1% saved)

rewrite46.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
904×pow1_binary64
849×add-log-exp_binary64
848×log1p-expm1-u_binary64
848×expm1-log1p-u_binary64
835×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116010
2219310
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))))

simplify46.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
472×div-sub_binary64
448×fma-def_binary64
341×associate-*l*_binary64
317×associate-*r*_binary64
277×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0115718
1307682
2986662
34785662
Stop Event
1×node limit
Counts
40 → 58
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(+.f64 (*.f64 -4 (pow.f64 (/.f64 1 alpha) 2)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 -4 (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 8 (pow.f64 (/.f64 1 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -4 (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 -16 (pow.f64 (/.f64 1 alpha) 4)) (+.f64 (*.f64 8 (pow.f64 (/.f64 1 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(/.f64 2 alpha)
(+.f64 (*.f64 -4 (pow.f64 (/.f64 -1 alpha) 2)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 -4 (pow.f64 (/.f64 -1 alpha) 2)) (+.f64 (*.f64 -8 (pow.f64 (/.f64 -1 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -4 (pow.f64 (/.f64 -1 alpha) 2)) (+.f64 (*.f64 -16 (pow.f64 (/.f64 -1 alpha) 4)) (+.f64 (*.f64 -8 (pow.f64 (/.f64 -1 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(fma.f64 -1/2 alpha 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))))
(fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1)))
(/.f64 2 alpha)
(+.f64 (*.f64 -4 (pow.f64 (/.f64 1 alpha) 2)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (/.f64 2 alpha))
(+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha))
(+.f64 (*.f64 -4 (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 8 (pow.f64 (/.f64 1 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (fma.f64 8 (/.f64 1 (pow.f64 alpha 3)) (/.f64 2 alpha)))
(fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 (/.f64 (/.f64 -4 alpha) alpha) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 (*.f64 -4 (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 -16 (pow.f64 (/.f64 1 alpha) 4)) (+.f64 (*.f64 8 (pow.f64 (/.f64 1 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (fma.f64 -16 (pow.f64 (/.f64 1 alpha) 4) (fma.f64 8 (/.f64 1 (pow.f64 alpha 3)) (/.f64 2 alpha))))
(+.f64 (fma.f64 -16 (pow.f64 (/.f64 1 alpha) 4) (/.f64 8 (pow.f64 alpha 3))) (fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 -16 (pow.f64 (/.f64 1 alpha) 4) (/.f64 (/.f64 -4 alpha) alpha))))
(/.f64 2 alpha)
(+.f64 (*.f64 -4 (pow.f64 (/.f64 -1 alpha) 2)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (/.f64 2 alpha))
(+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha))
(+.f64 (*.f64 -4 (pow.f64 (/.f64 -1 alpha) 2)) (+.f64 (*.f64 -8 (pow.f64 (/.f64 -1 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (fma.f64 8 (/.f64 1 (pow.f64 alpha 3)) (/.f64 2 alpha)))
(fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 (/.f64 (/.f64 -4 alpha) alpha) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 (*.f64 -4 (pow.f64 (/.f64 -1 alpha) 2)) (+.f64 (*.f64 -16 (pow.f64 (/.f64 -1 alpha) 4)) (+.f64 (*.f64 -8 (pow.f64 (/.f64 -1 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (fma.f64 -16 (pow.f64 (/.f64 1 alpha) 4) (fma.f64 8 (/.f64 1 (pow.f64 alpha 3)) (/.f64 2 alpha))))
(+.f64 (fma.f64 -16 (pow.f64 (/.f64 1 alpha) 4) (/.f64 8 (pow.f64 alpha 3))) (fma.f64 -4 (pow.f64 (/.f64 1 alpha) 2) (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 -16 (pow.f64 (/.f64 1 alpha) 4) (/.f64 (/.f64 -4 alpha) alpha))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
✓0.0b
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓0.0b
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓1.7b
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 73 to 47 computations (35.6% saved)

series44.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
beta
@-inf
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
4.0ms
beta
@-inf
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
3.0ms
beta
@0
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
2.0ms
alpha
@0
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
2.0ms
beta
@0
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 3898 to 3105 computations (20.3% saved)

rewrite140.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
717×fma-def_binary64
649×log-prod_binary64
497×fma-neg_binary64
279×log-div_binary64
243×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01158
127049
2437649
Stop Event
1×node limit
Counts
4 → 270
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))))))

simplify162.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
697×fma-def_binary64
463×associate-*r*_binary64
422×associate-*l*_binary64
299×distribute-rgt-in_binary64
276×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083310494
124369925
Stop Event
1×node limit
Counts
366 → 607
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))))) 1)
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))
1
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(/.f64 beta (+.f64 beta 2))
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(/.f64 beta alpha)
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(/.f64 beta alpha)
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(/.f64 alpha (+.f64 beta 2))
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1
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1
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(/.f64 alpha (+.f64 2 alpha))
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(/.f64 alpha beta)
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(/.f64 alpha beta)
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(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
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2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
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2
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
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(+.f64 1 (/.f64 beta (+.f64 beta 2)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
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(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3)
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(expm1.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
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(fma.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))) -1)
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (fma.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (fma.f64 (neg.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 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (+.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1)
(fma.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 beta (+.f64 alpha (+.f64 2 beta))))
(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)) (+.f64 (neg.f64 (/.f64 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)) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 1 alpha) 3)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 (pow.f64 (/.f64 -1 alpha) 3) (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 1 alpha) 3)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(fma.f64 (pow.f64 (/.f64 -1 alpha) 3) (pow.f64 (+.f64 beta 2) 3) (-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2)))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2)))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 3))))))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (neg.f64 (+.f64 beta 2)) (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) (fma.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 3)))))))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2) (fma.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (/.f64 -1 alpha) 4) (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 -1 alpha) 3)))) (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) -1))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)))))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 2) alpha)))))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha)) -1))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta)) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (/.f64 alpha beta)) -1)
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2)))) -1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) -1)
(+.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha (/.f64 alpha beta)) (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2)))) -1)
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))) 1)
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2)))) -1)
(+.f64 (/.f64 alpha beta) (fma.f64 (neg.f64 (pow.f64 (/.f64 -1 beta) 2)) (*.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (fma.f64 -1 (*.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1 (pow.f64 beta 3))) (neg.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2)))) 1))
(+.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha (/.f64 alpha beta)) (*.f64 alpha (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 -1 beta) 2)))) -1)
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 2)) (+.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(-.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 1 beta) 2))))
(+.f64 1 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 1 beta) 2) (/.f64 (+.f64 (neg.f64 alpha) -2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 (+.f64 alpha 2) 2) (neg.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 1 (pow.f64 beta 3)))))))
(+.f64 (-.f64 1 (/.f64 (+.f64 alpha 2) beta)) (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 1 beta) 2) (*.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 -1 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 (pow.f64 (/.f64 -1 beta) 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 -1 beta) 2))))
(+.f64 (-.f64 1 (/.f64 (+.f64 alpha 2) beta)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 -1 beta) 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (*.f64 (pow.f64 (/.f64 -1 beta) 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 (pow.f64 (/.f64 -1 beta) 2) (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 (+.f64 alpha 2) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 -1 (pow.f64 beta 3))) (+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 -1 beta) 2)))))
(+.f64 (+.f64 (-.f64 1 (/.f64 (+.f64 alpha 2) beta)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 -1 beta) 2))) (*.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 -1 (pow.f64 beta 3))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (+.f64 beta 2)))
(-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha)))) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))) (/.f64 beta (+.f64 beta 2)))))
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(/.f64 beta alpha)
(+.f64 (*.f64 -1 (*.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2)))) (/.f64 beta alpha))
(fma.f64 -1 (*.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2))) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (/.f64 1 alpha) 2) (*.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 beta (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2)))) (/.f64 beta alpha)))
(fma.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 3)) (fma.f64 -1 (*.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2))) (/.f64 beta alpha)))
(fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (/.f64 1 alpha) 2) (*.f64 beta (+.f64 beta 2)))))
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(/.f64 beta alpha)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 beta (+.f64 beta 2)))) (/.f64 beta alpha))
(fma.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 beta (+.f64 beta 2))) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 beta (+.f64 beta 2))))
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(/.f64 alpha (+.f64 beta 2))
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(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2)))
(-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))
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1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) 1) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 1 alpha) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))))
(-.f64 (fma.f64 (pow.f64 (/.f64 -1 alpha) 3) (pow.f64 (+.f64 beta 2) 3) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) 1)) (/.f64 (+.f64 beta 2) alpha))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) 1))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) 1))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2) 1) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (+.f64 (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 3))))))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2) (fma.f64 (pow.f64 (/.f64 -1 alpha) 3) (pow.f64 (+.f64 beta 2) 3) 1)) (/.f64 (+.f64 beta 2) alpha))
(/.f64 alpha (+.f64 2 alpha))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))))
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(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha)))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta))
(fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))
(fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))
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(fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (fma.f64 -1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha (pow.f64 (/.f64 1 beta) 4))) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))
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(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))))
(+.f64 (/.f64 alpha beta) (neg.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2))))
(-.f64 (/.f64 alpha beta) (*.f64 alpha (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 -1 beta) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))))
(fma.f64 -1 (*.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1 (pow.f64 beta 3))) (+.f64 (/.f64 alpha beta) (neg.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2)))))
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (*.f64 -1 (*.f64 (+.f64 2 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (pow.f64 (/.f64 -1 beta) 4) alpha)))))))
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(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
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(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
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2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
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(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))))
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2
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(fma.f64 -1 (/.f64 (+.f64 2 (-.f64 alpha (neg.f64 alpha))) beta) 2)
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(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) 1/3)
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (fma.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (fma.f64 (neg.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 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (+.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(fma.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 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 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)) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 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)) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓0.1b
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)
✓0.1b
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
✓1.7b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 84 to 52 computations (38.1% saved)

series2.7s (20.3%)

Counts
4 → 92
Calls

24 calls:

TimeVariablePointExpression
2.5s
alpha
@-inf
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
49.0ms
beta
@0
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
29.0ms
alpha
@0
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
17.0ms
alpha
@inf
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
14.0ms
alpha
@0
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)
Compiler

Compiled 383468 to 309166 computations (19.4% saved)

rewrite93.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
673×log-prod_binary64
571×fma-def_binary64
388×fma-neg_binary64
262×log1p-udef_binary64
261×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464
133864
2448164
Stop Event
1×node limit
Counts
4 → 256
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1/3) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) 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simplify220.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
768×distribute-rgt-in_binary64
751×distribute-lft-in_binary64
303×*-commutative_binary64
220×+-commutative_binary64
197×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101621366
1339418501
Stop Event
1×node limit
Counts
348 → 536
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)) (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 (pow.f64 (/.f64 1 beta) 3) (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 (*.f64 (pow.f64 (/.f64 1 beta) 2) (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
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2
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2
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(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)) (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)) (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))))) (pow.f64 beta 2)))))
8
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
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8
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) 8)
(+.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (+.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -4 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) 8))
(+.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (+.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -4 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 8 (*.f64 (+.f64 (*.f64 4 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (*.f64 2 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 (/.f64 -1 beta) 3)))))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
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(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) alpha) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) alpha) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))) (*.f64 -2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))))))))) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)))))
(*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))
(+.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) (pow.f64 (/.f64 1 alpha) 4)))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (+.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 (/.f64 1 alpha) 5)) (+.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) (pow.f64 (/.f64 1 alpha) 4))))
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1
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1
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(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3) 1)
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) 3) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 3) (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))
(/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1) 3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (+.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))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3)))
(exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 1))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2))
(fma.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(fma.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1))
(fma.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(fma.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(fma.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)))
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1)
(-.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.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)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1)
(fma.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 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) -1)
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1/3) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1)
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) 1/3) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(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)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.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)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.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)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
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2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
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2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 2 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (neg.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (/.f64 -1 beta) 3)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (*.f64 -1 (+.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 -1 beta) 3))) (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 2) alpha)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
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(fma.f64 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))
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(fma.f64 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (pow.f64 (/.f64 1 alpha) 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))))
(fma.f64 (-.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 2 beta) 2) 2)) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (/.f64 1 alpha) 4) (fma.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 (pow.f64 (/.f64 1 alpha) 3) (-.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(fma.f64 (neg.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4))) (pow.f64 (/.f64 1 alpha) 4) (fma.f64 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (/.f64 1 alpha) 2) (fma.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha))
(/.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) alpha)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(*.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))))))
(-.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) alpha) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))))))
(fma.f64 -1 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (fma.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (neg.f64 (*.f64 (/.f64 -1 (pow.f64 alpha 3)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))
(-.f64 (-.f64 (*.f64 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (/.f64 -1 alpha) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (/.f64 -1 (pow.f64 alpha 3)))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (pow.f64 (/.f64 -1 alpha) 4))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))))
(fma.f64 -1 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (fma.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 -1 (+.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (pow.f64 (+.f64 2 beta) 2) 2)) (pow.f64 (/.f64 -1 alpha) 4)) (*.f64 (/.f64 -1 (pow.f64 alpha 3)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)))))))
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (neg.f64 (/.f64 -1 (pow.f64 alpha 3)))) (*.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (/.f64 -1 alpha) 4))) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(pow.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3)
(cbrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3) 2) 1/3))) (pow.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3))
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2
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(cbrt.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))
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(/.f64 (pow.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) 1/3) alpha)
(/.f64 (cbrt.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) alpha)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) 2) 3)) alpha)
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8
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 8 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) -12))
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8
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(fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 8)
(-.f64 8 (/.f64 (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) -12) beta))
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(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) alpha) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(fma.f64 (fma.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) alpha) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2))))
(fma.f64 (fma.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (*.f64 (*.f64 alpha alpha) (fma.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 (*.f64 alpha alpha) (fma.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) alpha) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))) (*.f64 -2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))))))))) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)))))
(fma.f64 (fma.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (fma.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 2 beta) 2) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (neg.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (pow.f64 (+.f64 2 beta) 2) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) (*.f64 (*.f64 alpha alpha) (fma.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (fma.f64 (pow.f64 alpha 3) (-.f64 (fma.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (-.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))) (*.f64 (*.f64 alpha alpha) (fma.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2)))))))
(*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))
(*.f64 (*.f64 (+.f64 beta 1) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 beta 1) 2) 2)))
(+.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) (pow.f64 (/.f64 1 alpha) 4)))
(fma.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (*.f64 3 (*.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))))
(fma.f64 (*.f64 (+.f64 beta 1) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 beta 1) 2) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (*.f64 3 (*.f64 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (*.f64 (+.f64 beta 1) 2) 2)))))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.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 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 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 alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (-.f64 beta alpha) -2))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) -1)
(/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)))
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 (*.f64 beta (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) -1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1 -1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) -1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1/3) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.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 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) -1)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) -1)
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) -1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1/3) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) -1)
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3/2) 1/3) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 3/2)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 3/2)) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(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)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(fma.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)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.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)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 (*.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (-.f64 beta alpha) -2)) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))

eval1.6s (11.7%)

Compiler

Compiled 86275 to 63528 computations (26.4% saved)

prune685.0ms (5.1%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New1787111798
Fresh819
Picked101
Done055
Total1796171813
Error
0.1b
Counts
1813 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1))) 2)
32.4b
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
32.4b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) 2)
▶43.7b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
47.6b
(/.f64 (/.f64 2 alpha) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
43.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
✓17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2)
▶46.7b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
✓32.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
48.6b
(/.f64 (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha)) 2)
✓17.8b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
19.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶33.9b
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
✓41.6b
(/.f64 2 2)
▶32.9b
(/.f64 1 2)
Compiler

Compiled 419 to 328 computations (21.7% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
0.0b
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓1.7b
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
✓1.7b
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
Compiler

Compiled 106 to 71 computations (33% saved)

series32.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
8.0ms
alpha
@0
(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
2.0ms
beta
@0
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
2.0ms
beta
@0
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
2.0ms
beta
@-inf
(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
2.0ms
beta
@inf
(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
Compiler

Compiled 2510 to 1994 computations (20.6% saved)

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
711×prod-diff_binary64
534×log-prod_binary64
357×fma-def_binary64
250×fma-neg_binary64
213×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
123736
2334636
Stop Event
1×node limit
Counts
3 → 153
Calls
Call 1
Inputs
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))))))

simplify122.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
880×times-frac_binary64
551×unswap-sqr_binary64
386×fma-neg_binary64
263×log-prod_binary64
249×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03385301
19654953
239394871
Stop Event
1×node limit
Counts
225 → 272
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))))) 1)
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))))) 1)
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(/.f64 alpha (+.f64 2 alpha))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 alpha 2) beta))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) 1) -1)
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 (neg.f64 beta) -2) alpha)
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 1 alpha) alpha) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 1 (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 (/.f64 -1 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 1 alpha) alpha) (/.f64 (-.f64 -2 beta) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 1 (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(fma.f64 (/.f64 -1 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 3) (-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 1 alpha) alpha) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 (neg.f64 beta) -2) alpha)
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2)))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2)))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 3))))))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (+.f64 (neg.f64 beta) -2) (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (-.f64 -2 beta) (pow.f64 alpha 3))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 3) (+.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (pow.f64 (+.f64 beta 2) 2) (fma.f64 (pow.f64 (/.f64 -1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 3)))))))
(+.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (+.f64 (neg.f64 beta) -2) (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (/.f64 -1 alpha) 4)))
(+.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (-.f64 -2 beta) (pow.f64 alpha 3))) (/.f64 (-.f64 -2 beta) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (/.f64 -1 alpha) 4)))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (*.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) 1))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha))))
(+.f64 (-.f64 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (*.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 -1 (+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 2) alpha))))) 1))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (-.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)) (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha))) (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 alpha beta)) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (/.f64 alpha beta)) -1)
(fma.f64 (neg.f64 (pow.f64 (/.f64 1 beta) 2)) (*.f64 alpha (+.f64 alpha 2)) (+.f64 -1 (/.f64 alpha beta)))
(fma.f64 (neg.f64 (/.f64 (/.f64 1 beta) beta)) (*.f64 alpha (+.f64 alpha 2)) (+.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha (+.f64 alpha 2))) (/.f64 alpha beta)) (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 -1 (-.f64 (fma.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha beta)) (*.f64 (+.f64 alpha 2) (*.f64 alpha (pow.f64 (/.f64 1 beta) 2)))))
(+.f64 -1 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha (/.f64 alpha beta)) (*.f64 (+.f64 alpha 2) (*.f64 alpha (/.f64 (/.f64 1 beta) beta)))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2))))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 alpha (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 -1 beta) 2)))))
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 (+.f64 2 alpha) alpha))))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (*.f64 -1 (+.f64 (*.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1 (pow.f64 beta 3))) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2)))) 1))
(+.f64 -1 (-.f64 (fma.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha beta)) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 -1 beta) 2))))
(+.f64 -1 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha (/.f64 alpha beta)) (*.f64 alpha (*.f64 (+.f64 alpha 2) (pow.f64 (/.f64 -1 beta) 2)))))
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 (neg.f64 beta) -2) alpha)
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 1 alpha) alpha) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 1 (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 (/.f64 -1 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 1 alpha) alpha) (/.f64 (-.f64 -2 beta) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
(fma.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 1 (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)))))
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(fma.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) -1)
(fma.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) -1)
(fma.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) -1)
(fma.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 alpha 2) beta) -1)
(fma.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)) -1)
(fma.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha 2) beta) -1)
(+.f64 0 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) alpha)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 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 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 1 (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 1 (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 alpha 2) beta))
(*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 alpha (-.f64 (-.f64 alpha 2) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (*.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) -1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) 1) -1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize8.0ms (0.1%)

Compiler

Compiled 21 to 17 computations (19% saved)

localize31.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
Compiler

Compiled 29 to 21 computations (27.6% saved)

series6.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

Compiled 268 to 212 computations (20.9% saved)

rewrite45.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
898×pow1_binary64
840×add-log-exp_binary64
838×log1p-expm1-u_binary64
838×expm1-log1p-u_binary64
825×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11588
221858
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) -2) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 2 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))))

simplify41.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
534×fma-def_binary64
387×log-prod_binary64
340×log-div_binary64
261×associate-/l*_binary64
189×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100653
1243653
2814488
33941488
Stop Event
1×node limit
Counts
59 → 44
Calls
Call 1
Inputs
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1)
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (*.f64 (+.f64 beta 1) -2) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(*.f64 (+.f64 beta 1) (*.f64 2 (/.f64 1 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 2 alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
Outputs
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(*.f64 beta (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(*.f64 beta (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (*.f64 (+.f64 beta 1) -2) (/.f64 1 (neg.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (+.f64 beta 1) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 26 computations (35% saved)

series19.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

Compiled 1232 to 1007 computations (18.3% saved)

rewrite63.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
759×prod-diff_binary64
481×log-prod_binary64
362×fma-def_binary64
277×pow2_binary64
189×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0830
119730
2304124
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(+.f64 alpha (+.f64 alpha 2))
(-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 alpha 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 alpha 2 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 alpha 2 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (cbrt.f64 (fma.f64 alpha 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (sqrt.f64 (fma.f64 alpha 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 alpha alpha) 3) 8) (+.f64 (pow.f64 (+.f64 alpha alpha) 2) (-.f64 4 (*.f64 (+.f64 alpha alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 alpha 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 alpha alpha) 2) 4) (fma.f64 alpha 2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 alpha 2 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 alpha 2 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 alpha 2 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 alpha 2 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 alpha 2 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 alpha 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 alpha 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (exp.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 alpha) (+.f64 1 (expm1.f64 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (+.f64 1 (expm1.f64 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 2))) (exp.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 2))) (+.f64 1 (expm1.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 alpha 2 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 alpha 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 alpha 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 alpha 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 alpha 2 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha 2 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha 1 (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 alpha 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) 1 alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha 2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 alpha) (+.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 (cbrt.f64 alpha) (cbrt.f64 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (+.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (+.f64 alpha alpha))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 alpha -2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
657×times-frac_binary64
617×unswap-sqr_binary64
364×fma-neg_binary64
242×log-prod_binary64
208×cube-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03452663
18402347
230382191
Stop Event
1×node limit
Counts
206 → 207
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(*.f64 2 alpha)
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(*.f64 2 alpha)
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(*.f64 -2 (/.f64 alpha beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(*.f64 -2 (/.f64 alpha beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 alpha 2 2))) 1)
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 alpha (+.f64 alpha 2))))
(*.f64 (fma.f64 alpha 2 2) 1)
(*.f64 1 (fma.f64 alpha 2 2))
(*.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (cbrt.f64 (fma.f64 alpha 2 2)))
(*.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (sqrt.f64 (fma.f64 alpha 2 2)))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha)))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 alpha (+.f64 alpha 2))))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))
(/.f64 1 (/.f64 (-.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 alpha (+.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha)))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 alpha (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha alpha) 3) 8) (+.f64 (pow.f64 (+.f64 alpha alpha) 2) (-.f64 4 (*.f64 (+.f64 alpha alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 alpha 2) alpha))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha alpha) 2) 4) (fma.f64 alpha 2 -2))
(pow.f64 (fma.f64 alpha 2 2) 1)
(pow.f64 (pow.f64 (fma.f64 alpha 2 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 alpha 2 2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 alpha 2 2)) 2)
(pow.f64 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) -1)
(pow.f64 (/.f64 (-.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 alpha 2 2) 2))
(log.f64 (exp.f64 (fma.f64 alpha 2 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 alpha 2 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (exp.f64 (+.f64 alpha 2))))
(log.f64 (*.f64 (exp.f64 alpha) (+.f64 1 (expm1.f64 (+.f64 alpha 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (+.f64 1 (expm1.f64 (+.f64 alpha 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 2))) (exp.f64 alpha)))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 alpha))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 2))) (+.f64 1 (expm1.f64 alpha))))
(cbrt.f64 (pow.f64 (fma.f64 alpha 2 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 alpha 2 2)))
(log1p.f64 (expm1.f64 (fma.f64 alpha 2 2)))
(exp.f64 (log.f64 (fma.f64 alpha 2 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 alpha 2 2)) 1))
(fma.f64 alpha 2 2)
(fma.f64 alpha 1 (+.f64 alpha 2))
(fma.f64 2 alpha 2)
(fma.f64 (+.f64 alpha 2) 1 alpha)
(fma.f64 1 alpha (+.f64 alpha 2))
(fma.f64 1 (+.f64 alpha 2) alpha)
(fma.f64 1 (+.f64 alpha alpha) 2)
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2))
(fma.f64 (cbrt.f64 alpha) (+.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2)) 2)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 alpha 2))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 (cbrt.f64 alpha) (cbrt.f64 alpha)) 2)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) 2) 2)
(fma.f64 (cbrt.f64 (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 alpha) (+.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)) 2)
(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) 2) 2)
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) alpha)
(fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (+.f64 alpha alpha))) alpha)
(fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 alpha -2)) alpha)
(fma.f64 (+.f64 alpha alpha) 1 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha alpha)) 2) (cbrt.f64 (+.f64 alpha alpha)) 2)
(fma.f64 (sqrt.f64 (+.f64 alpha alpha)) (sqrt.f64 (+.f64 alpha alpha)) 2)
(+.f64 2 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(+.f64 2 (*.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 1))
(+.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(+.f64 0 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(*.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(*.f64 1 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (/.f64 1 (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 4)))
(*.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (/.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 4) (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 4))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))) (neg.f64 (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 4)))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (neg.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 3)) (+.f64 4 (-.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (*.f64 2 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta))))))
(/.f64 (-.f64 4 (pow.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)) (-.f64 2 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(pow.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 3)
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 4) (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))) -1)
(pow.f64 (/.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(log.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(exp.f64 (log.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 1))
(fma.f64 (fma.f64 alpha 2 2) (neg.f64 (/.f64 1 beta)) 2)
(fma.f64 1 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (neg.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(fma.f64 (neg.f64 (fma.f64 alpha 2 2)) (/.f64 1 beta) 2)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 2) (cbrt.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(fma.f64 (sqrt.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (neg.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(fma.f64 -1 (/.f64 (fma.f64 alpha 2 2) beta) 2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(+.f64 0 (/.f64 (fma.f64 alpha 2 2) beta))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 1)
(*.f64 (fma.f64 alpha 2 2) (/.f64 1 beta))
(*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1)
(*.f64 1 (/.f64 (fma.f64 alpha 2 2) beta))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (*.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (neg.f64 (fma.f64 alpha 2 2)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (fma.f64 alpha 2 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (sqrt.f64 beta)))
(pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 1/3)
(pow.f64 (/.f64 beta (fma.f64 alpha 2 2)) -1)
(pow.f64 (/.f64 (/.f64 beta (fma.f64 alpha 2 2)) 1) -1)
(neg.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 1))
Outputs
2
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(*.f64 2 alpha)
(+.f64 alpha alpha)
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(*.f64 2 alpha)
(+.f64 alpha alpha)
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(+.f64 2 (*.f64 2 alpha))
(fma.f64 2 alpha 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(*.f64 -2 (/.f64 alpha beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(*.f64 -2 (/.f64 alpha beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(/.f64 (neg.f64 (fma.f64 2 alpha 2)) beta)
(/.f64 (fma.f64 2 alpha 2) (neg.f64 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (-.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 2 beta)))
(+.f64 2 (fma.f64 -2 (/.f64 alpha beta) (/.f64 -2 beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
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(/.f64 (fma.f64 2 alpha 2) beta)
(exp.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 1))
(/.f64 (fma.f64 2 alpha 2) beta)

eval305.0ms (2.3%)

Compiler

Compiled 17182 to 12803 computations (25.5% saved)

prune158.0ms (1.2%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New6294633
Fresh077
Picked101
Done189
Total63119650
Error
0.1b
Counts
650 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1))) 2)
32.4b
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
32.4b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) 2)
✓43.7b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
▶47.6b
(/.f64 (/.f64 2 alpha) 2)
▶17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
▶43.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
✓17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
46.8b
(/.f64 (-.f64 (/.f64 beta alpha) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2)
▶44.6b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
▶46.4b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓32.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
48.6b
(/.f64 (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha)) 2)
✓17.8b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
19.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓33.9b
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
57.8b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓41.6b
(/.f64 2 2)
✓32.9b
(/.f64 1 2)
Compiler

Compiled 418 to 326 computations (22% saved)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
0.0b
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓0.1b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
✓1.7b
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)
Compiler

Compiled 147 to 100 computations (32% saved)

series28.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
alpha
@0
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
4.0ms
beta
@0
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)
3.0ms
beta
@-inf
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
3.0ms
beta
@inf
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
2.0ms
beta
@-inf
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)
Compiler

Compiled 2482 to 2064 computations (16.8% saved)

rewrite63.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
671×prod-diff_binary64
525×log-prod_binary64
362×fma-def_binary64
310×pow2_binary64
241×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
123629
2336029
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4) 1) (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha 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fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (*.f64 (/.f64 1 (+.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 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 alpha) 2) (pow.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)) (neg.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 1))))))

simplify78.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
802×associate-/l*_binary64
541×unswap-sqr_binary64
213×associate-*r*_binary64
201×fma-def_binary64
193×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03313589
19843364
234973261
Stop Event
1×node limit
Counts
131 → 264
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))))) 1)
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha))
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1
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1
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))
(/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(/.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (pow.f64 (neg.f64 alpha) 2) (pow.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 1))
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) -1)
(+.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -2 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (pow.f64 (+.f64 2 beta) 2) 2))) 1))
(+.f64 -1 (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 -1 (fma.f64 -2 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))))
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 -4 (*.f64 beta -2)) alpha)
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (/.f64 1 alpha) 2)))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (/.f64 1 alpha) 2)))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 2) 3) (pow.f64 (+.f64 2 beta) 2)))
(fma.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) 3) (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 -4 (*.f64 beta -2)) alpha))
(+.f64 (*.f64 -4 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 (/.f64 1 alpha) 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (/.f64 1 alpha) 2))))
(fma.f64 (/.f64 -4 (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 3) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 2) 3) (pow.f64 (+.f64 2 beta) 2))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) 3) (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 -4 (*.f64 beta -2)) alpha)))
(+.f64 (*.f64 -4 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (+.f64 (*.f64 4 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))))))
(fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 (/.f64 1 alpha) 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (fma.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (*.f64 5 (pow.f64 (pow.f64 (+.f64 2 beta) 2) 2))))))
(fma.f64 (/.f64 -4 (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 3) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (fma.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) 3) (pow.f64 (/.f64 1 alpha) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 4) 5) (pow.f64 (+.f64 2 beta) 4)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (fma.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) 3) (/.f64 (/.f64 1 alpha) alpha) (*.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 4) 5) (pow.f64 (+.f64 2 beta) 4)))))
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(/.f64 (neg.f64 (fma.f64 2 beta 4)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (*.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (/.f64 -1 alpha) 2)))
(-.f64 (*.f64 3 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (/.f64 -1 alpha) 2))) (/.f64 (fma.f64 2 beta 4) alpha))
(fma.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) 3) (pow.f64 (+.f64 2 beta) 2) (/.f64 (neg.f64 (fma.f64 2 beta 4)) alpha))
(+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 -1 alpha) 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 4 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 -1 (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (*.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (/.f64 -1 alpha) 2))))
(fma.f64 4 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 -1 (pow.f64 alpha 3))) (-.f64 (*.f64 3 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (/.f64 -1 alpha) 2))) (/.f64 (fma.f64 2 beta 4) alpha)))
(-.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (*.f64 4 (/.f64 (neg.f64 (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) 3))) (/.f64 (fma.f64 2 beta 4) alpha))
(+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 -1 alpha) 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (+.f64 (*.f64 4 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2)) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 2))))))
(fma.f64 4 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 -1 (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (fma.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 (*.f64 5 (pow.f64 (pow.f64 (+.f64 2 beta) 2) 2)) (pow.f64 (/.f64 -1 alpha) 4)))))
(fma.f64 4 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 -1 (pow.f64 alpha 3))) (-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) 3) (pow.f64 (/.f64 -1 alpha) 2) (*.f64 (*.f64 (pow.f64 (+.f64 2 beta) 4) 5) (pow.f64 (/.f64 -1 alpha) 4))) (/.f64 (fma.f64 2 beta 4) alpha)))
(+.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (*.f64 4 (/.f64 (neg.f64 (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) 3))) (/.f64 (fma.f64 2 beta 4) alpha)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 4) 5) (pow.f64 (+.f64 2 beta) 4)))
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1)
(+.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))
(+.f64 -1 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 -2 (*.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) 1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))))
(+.f64 -1 (*.f64 (+.f64 (*.f64 -2 (/.f64 beta (+.f64 alpha 2))) 1) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2))))))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -2 (*.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 2))))) 1))
(+.f64 -1 (+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (fma.f64 -2 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) (*.f64 3 (*.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)))))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 beta (+.f64 alpha 2))) 1) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha)) (fma.f64 3 (*.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (*.f64 (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2) (+.f64 2 alpha)))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (pow.f64 (+.f64 2 alpha) 2) 2)))))))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -2 (*.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 2)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 2)))))) 1))
(+.f64 -1 (+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (fma.f64 -2 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) (fma.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 -4 (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2))))))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 beta (+.f64 alpha 2))) 1) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha)) (+.f64 (fma.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 (/.f64 (*.f64 (pow.f64 beta 3) -4) (pow.f64 (+.f64 alpha 2) 5)) (*.f64 alpha alpha))) -1))
-1
(-.f64 (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 alpha 2)) 1)
(fma.f64 (pow.f64 (/.f64 1 beta) 2) (*.f64 alpha alpha) -1)
(fma.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 beta) 2) -1)
(fma.f64 (*.f64 alpha alpha) (/.f64 (/.f64 1 beta) beta) -1)
(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 alpha 2)) (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))))) 1)
(+.f64 (fma.f64 -2 (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2))) (*.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 beta) 2))) -1)
(fma.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 beta) 2) (fma.f64 (/.f64 -2 (pow.f64 beta 3)) (*.f64 alpha (*.f64 alpha (+.f64 alpha 2))) -1))
(+.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 beta) beta) (*.f64 -2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3))))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 (/.f64 1 beta) 4)) (+.f64 (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 alpha 2)) (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 beta) 3) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))))) 1)
(+.f64 (fma.f64 (*.f64 3 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (/.f64 1 beta) 4) (fma.f64 -2 (*.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2))) (*.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 beta) 2)))) -1)
(fma.f64 (pow.f64 (/.f64 1 beta) 4) (*.f64 3 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 beta) 2) (fma.f64 (/.f64 -2 (pow.f64 beta 3)) (*.f64 alpha (*.f64 alpha (+.f64 alpha 2))) -1)))
(+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 beta) beta) (*.f64 -2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3))))) (fma.f64 (pow.f64 (/.f64 1 beta) 4) (*.f64 3 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) -1))
-1
(-.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (pow.f64 alpha 2)) 1)
(fma.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 alpha alpha) -1)
(fma.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 -1 beta) 2) -1)
(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (pow.f64 alpha 2)) (*.f64 2 (*.f64 (+.f64 2 alpha) (*.f64 (pow.f64 alpha 2) (pow.f64 (/.f64 -1 beta) 3))))) 1)
(+.f64 (fma.f64 (pow.f64 (/.f64 -1 beta) 2) (*.f64 alpha alpha) (*.f64 (*.f64 2 (+.f64 alpha 2)) (*.f64 (*.f64 alpha alpha) (/.f64 -1 (pow.f64 beta 3))))) -1)
(fma.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 -1 beta) 2) (fma.f64 2 (*.f64 (+.f64 alpha 2) (/.f64 (*.f64 alpha (neg.f64 alpha)) (pow.f64 beta 3))) -1))
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(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 -1 beta) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 (/.f64 -1 beta) 4)) (*.f64 2 (*.f64 (+.f64 2 alpha) (*.f64 (pow.f64 alpha 2) (pow.f64 (/.f64 -1 beta) 3)))))) 1)
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1
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1
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(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))
(fma.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))
(+.f64 0 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))) 1)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 alpha (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 2))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 4)))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) 2))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (pow.f64 (neg.f64 alpha) 2) (pow.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 6))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 1))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)

localize54.0ms (0.4%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 2 (/.f64 2 beta))
Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
beta
@0
(-.f64 2 (/.f64 2 beta))
1.0ms
beta
@-inf
(-.f64 2 (/.f64 2 beta))
1.0ms
beta
@inf
(-.f64 2 (/.f64 2 beta))
Compiler

Compiled 104 to 94 computations (9.6% saved)

rewrite41.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
645×pow1_binary64
606×add-log-exp_binary64
605×log1p-expm1-u_binary64
605×expm1-log1p-u_binary64
596×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11197
215847
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 2 (/.f64 2 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 -2 beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta)))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))))))

simplify41.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
683×fma-def_binary64
482×distribute-rgt-in_binary64
352×associate-*l*_binary64
338×associate-*r*_binary64
319×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077460
1205415
2695415
33832415
Stop Event
1×node limit
Counts
40 → 37
Calls
Call 1
Inputs
(/.f64 -2 beta)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (/.f64 -2 beta))
(+.f64 2 (*.f64 (/.f64 -2 beta) 1))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(*.f64 1 (+.f64 2 (/.f64 -2 beta)))
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta)))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta)))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta)))))
(/.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))
(pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))
Outputs
(/.f64 -2 beta)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(+.f64 2 (*.f64 (/.f64 -2 beta) 1))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (/.f64 2 beta))
(*.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 1 (+.f64 2 (/.f64 -2 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (-.f64 -8 (pow.f64 (/.f64 -2 beta) 3)) (-.f64 -4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 beta) 3) -8) (+.f64 -4 (/.f64 (+.f64 (/.f64 -4 beta) -4) beta)))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta)))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (-.f64 -8 (pow.f64 (/.f64 -2 beta) 3)) (-.f64 -4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 beta) 3) -8) (+.f64 -4 (/.f64 (+.f64 (/.f64 -4 beta) -4) beta)))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta)))))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta)))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (-.f64 -8 (pow.f64 (/.f64 -2 beta) 3)) (-.f64 -4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 beta) 3) -8) (+.f64 -4 (/.f64 (+.f64 (/.f64 -4 beta) -4) beta)))
(/.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (-.f64 -8 (pow.f64 (/.f64 -2 beta) 3)) (-.f64 -4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 beta) 3) -8) (+.f64 -4 (/.f64 (+.f64 (/.f64 -4 beta) -4) beta)))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (*.f64 (/.f64 2 beta) (+.f64 2 (/.f64 2 beta))))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (-.f64 -8 (pow.f64 (/.f64 -2 beta) 3)) (-.f64 -4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 beta) 3) -8) (+.f64 -4 (/.f64 (+.f64 (/.f64 -4 beta) -4) beta)))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)

localize8.0ms (0.1%)

Compiler

Compiled 29 to 11 computations (62.1% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 63 to 41 computations (34.9% saved)

series20.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
beta
@inf
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
2.0ms
beta
@-inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
2.0ms
beta
@inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
2.0ms
alpha
@0
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
1.0ms
alpha
@-inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
Compiler

Compiled 1408 to 1092 computations (22.4% saved)

rewrite108.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
689×log-prod_binary64
551×fma-def_binary64
364×fma-neg_binary64
298×log-div_binary64
252×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01137
128633
2499133
Stop Event
1×node limit
Counts
3 → 263
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
(+.f64 beta (+.f64 alpha 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 alpha) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (neg.f64 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(cbrt.f64 beta) 2) (+.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 alpha) (cbrt.f64 (*.f64 alpha alpha)) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 alpha alpha)) (cbrt.f64 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 alpha)) (sqrt.f64 (+.f64 2 alpha)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta 2)) (neg.f64 (sqrt.f64 (+.f64 beta 2))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 1 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (*.f64 2 alpha))) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 beta 2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 beta beta -4) (/.f64 1 (+.f64 beta -2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 alpha -2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) alpha)))))

simplify165.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
719×fma-neg_binary64
387×fma-def_binary64
255×log-prod_binary64
235×associate-/r*_binary64
227×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06457077
117706521
267836476
Stop Event
1×node limit
Counts
335 → 471
Calls
Call 1
Inputs
(/.f64 -2 alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 beta alpha))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 beta alpha))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 2 alpha)
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha)))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (/.f64 -1 beta) 2) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))))
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2)))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (*.f64 beta (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2)))) (/.f64 beta alpha))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (*.f64 beta (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 1 alpha) 2)))) (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (+.f64 beta 2))))) (/.f64 beta alpha)))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 3))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 -1 alpha) 3)))) (*.f64 -1 (*.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 (/.f64 -1 alpha) 4) (+.f64 beta 2))))))))
(+.f64 2 alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 0 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))))
(-.f64 0 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(-.f64 (/.f64 0 alpha) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(*.f64 (+.f64 beta 2) (neg.f64 (/.f64 1 alpha)))
(*.f64 (+.f64 beta 2) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 1 alpha) (+.f64 beta 2))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 0 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))))
(*.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 1)
(*.f64 1 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (/.f64 1 (*.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2) (/.f64 1 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(/.f64 1 (/.f64 (*.f64 alpha (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2)))
(/.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha))))
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(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (/.f64 -1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (/.f64 beta (+.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 beta 2) alpha))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 beta 2) alpha))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 2 alpha)))) 1)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) 1)
(*.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (-.f64 beta (+.f64 2 alpha))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))))
(/.f64 (+.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 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 beta (+.f64 2 alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (-.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (-.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4) (-.f64 (+.f64 beta alpha) 2))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 2 alpha))))
(log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 2 alpha)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 2 alpha)))))
(log.f64 (*.f64 (exp.f64 (+.f64 beta 2)) (exp.f64 alpha)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 beta 2))) (exp.f64 alpha)))
(log.f64 (*.f64 (exp.f64 (+.f64 beta 2)) (+.f64 1 (expm1.f64 alpha))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 beta 2))) (+.f64 1 (expm1.f64 alpha))))
(log.f64 (*.f64 (exp.f64 alpha) (exp.f64 (+.f64 beta 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (exp.f64 (+.f64 beta 2))))
(log.f64 (*.f64 (exp.f64 alpha) (+.f64 1 (expm1.f64 (+.f64 beta 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (+.f64 1 (expm1.f64 (+.f64 beta 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 alpha))) (exp.f64 beta)))
(log.f64 (*.f64 (exp.f64 (+.f64 2 alpha)) (+.f64 1 (expm1.f64 beta))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 alpha))) (+.f64 1 (expm1.f64 beta))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) 1))
(fma.f64 beta 1 (+.f64 2 alpha))
(fma.f64 (+.f64 beta 2) 1 alpha)
(fma.f64 (+.f64 beta 2) -1 alpha)
(fma.f64 alpha 1 (+.f64 beta 2))
(fma.f64 (+.f64 2 alpha) 1 beta)
(fma.f64 1 beta (+.f64 2 alpha))
(fma.f64 1 (+.f64 beta 2) alpha)
(fma.f64 1 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 2 alpha) beta)
(fma.f64 1 (+.f64 beta alpha) 2)
(fma.f64 (cbrt.f64 (+.f64 2 alpha)) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) (cbrt.f64 (+.f64 2 alpha)) beta)
(fma.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (neg.f64 (cbrt.f64 (+.f64 beta 2))) alpha)
(fma.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 alpha))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 2 alpha))
(fma.f64 (cbrt.f64 alpha) (cbrt.f64 (*.f64 alpha alpha)) (+.f64 beta 2))
(fma.f64 (cbrt.f64 (*.f64 alpha alpha)) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 2 alpha)) (sqrt.f64 (+.f64 2 alpha)) beta)
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (neg.f64 (sqrt.f64 (+.f64 beta 2))) alpha)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 2 alpha))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 1 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))) alpha)
(fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (*.f64 2 alpha))) beta)
(fma.f64 -1 (+.f64 beta 2) alpha)
(fma.f64 (fma.f64 beta beta -4) (/.f64 1 (+.f64 beta -2)) alpha)
(fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 alpha -2)) beta)
(fma.f64 (+.f64 beta alpha) 1 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) alpha)
Outputs
(/.f64 -2 alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 beta alpha))
(neg.f64 (/.f64 beta alpha))
(/.f64 (neg.f64 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 beta alpha))
(neg.f64 (/.f64 beta alpha))
(/.f64 (neg.f64 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(/.f64 2 alpha)
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (/.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 2 alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta 2) alpha)))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 -2 (neg.f64 alpha)) beta)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (/.f64 1 beta) 2) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 1 beta) 2)))))
(+.f64 1 (+.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 1 beta) 2) (/.f64 beta alpha)) (-.f64 (/.f64 2 alpha) (/.f64 (+.f64 alpha 2) beta))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 -2 (neg.f64 alpha)) beta)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (/.f64 -1 beta) 2) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 -1 beta) 2)))))
(+.f64 1 (+.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (/.f64 -1 beta) 2) (/.f64 beta alpha)) (-.f64 (/.f64 2 alpha) (/.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2))))) (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (*.f64 alpha (*.f64 alpha beta)) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)))
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(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (neg.f64 (cbrt.f64 (+.f64 beta 2))) alpha)
(fma.f64 -1 (+.f64 beta 2) alpha)
(+.f64 alpha (fma.f64 -1 beta -2))
(fma.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (cbrt.f64 alpha) (cbrt.f64 (*.f64 alpha alpha)) (+.f64 beta 2))
(fma.f64 (cbrt.f64 (*.f64 alpha alpha)) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (cbrt.f64 (*.f64 alpha alpha)) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (cbrt.f64 alpha) (cbrt.f64 (*.f64 alpha alpha)) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 2 alpha)) (sqrt.f64 (+.f64 2 alpha)) beta)
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) alpha)
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (neg.f64 (sqrt.f64 (+.f64 beta 2))) alpha)
(fma.f64 -1 (+.f64 beta 2) alpha)
(+.f64 alpha (fma.f64 -1 beta -2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 2 alpha))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 1 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))) alpha)
(fma.f64 (+.f64 (pow.f64 beta 3) 8) (/.f64 1 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))) alpha)
(fma.f64 (+.f64 (pow.f64 beta 3) 8) (/.f64 1 (+.f64 (fma.f64 beta beta 4) (*.f64 -2 beta))) alpha)
(fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (*.f64 2 alpha))) beta)
(fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (+.f64 (fma.f64 alpha alpha 4) (*.f64 -2 alpha))) beta)
(fma.f64 -1 (+.f64 beta 2) alpha)
(+.f64 alpha (fma.f64 -1 beta -2))
(fma.f64 (fma.f64 beta beta -4) (/.f64 1 (+.f64 beta -2)) alpha)
(fma.f64 (fma.f64 beta beta -4) (/.f64 1 (+.f64 -2 beta)) alpha)
(fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 alpha -2)) beta)
(fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 -2 alpha)) beta)
(fma.f64 (+.f64 beta alpha) 1 2)
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta alpha)) 2)
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(+.f64 (+.f64 beta 2) alpha)
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 -1 (+.f64 beta 2) alpha)
(+.f64 alpha (fma.f64 -1 beta -2))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 -1 (+.f64 beta 2) alpha)
(+.f64 alpha (fma.f64 -1 beta -2))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 -1 (+.f64 beta 2) alpha)
(+.f64 alpha (fma.f64 -1 beta -2))
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 -1 (+.f64 beta 2) alpha)
(+.f64 alpha (fma.f64 -1 beta -2))

eval828.0ms (6.2%)

Compiler

Compiled 44266 to 31764 computations (28.2% saved)

prune431.0ms (3.2%)

Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New122791236
Fresh246
Picked101
Done21012
Total1232231255
Error
0.1b
Counts
1255 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
55.8b
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) beta)) (*.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) beta))) 2)
47.3b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
✓43.7b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
60.9b
(/.f64 (/.f64 beta alpha) 2)
✓47.6b
(/.f64 (/.f64 2 alpha) 2)
45.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) 3) (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 -4 (*.f64 beta -2)) alpha)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
18.0b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 alpha (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
58.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (+.f64 (neg.f64 beta) -2) (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 2) alpha)) 1) 1))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
57.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
✓17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
44.1b
(/.f64 (-.f64 (/.f64 beta (expm1.f64 (log1p.f64 (+.f64 beta (+.f64 2 alpha))))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
46.8b
(/.f64 (-.f64 (/.f64 beta alpha) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2)
✓44.6b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
✓46.4b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓32.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
48.6b
(/.f64 (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha)) 2)
✓17.8b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
19.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓33.9b
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
57.8b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓41.6b
(/.f64 2 2)
✓32.9b
(/.f64 1 2)
Compiler

Compiled 414 to 311 computations (24.9% saved)

regimes553.0ms (4.1%)

Counts
39 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) beta)) (*.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) beta))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 alpha (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) 2)
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
(/.f64 (log.f64 (exp.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)) 3) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)
(/.f64 (-.f64 (/.f64 beta (expm1.f64 (log1p.f64 (+.f64 beta (+.f64 2 alpha))))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2)
(/.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 (-.f64 (neg.f64 beta) beta) -2)) (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) 3) (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 -4 (*.f64 beta -2)) alpha)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
(/.f64 (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) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (/.f64 -1 alpha) 2) (/.f64 (+.f64 (neg.f64 beta) -2) (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 2) alpha)) 1) 1))) 2)
(/.f64 (-.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (/.f64 1 alpha) 3))) (*.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (/.f64 -1 alpha) 4))) (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2)
Calls

8 calls:

304.0ms
alpha
145.0ms
beta
20.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
20.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
11.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
1.7b2alpha
13.2b7beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 770 to 547 computations (29% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999813224
-0.9994867991866465
Compiler

Compiled 20 to 15 computations (25% saved)

regimes247.0ms (1.8%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) beta)) (*.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) beta))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) -1))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 alpha (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) 2)
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
(/.f64 (log.f64 (exp.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)) 3) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)
(/.f64 (-.f64 (/.f64 beta (expm1.f64 (log1p.f64 (+.f64 beta (+.f64 2 alpha))))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
Calls

8 calls:

102.0ms
beta
43.0ms
alpha
31.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Results
ErrorSegmentsBranch
1.7b2alpha
13.3b7beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 541 to 385 computations (28.8% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999813224
-0.9994867991866465
Compiler

Compiled 20 to 15 computations (25% saved)

regimes170.0ms (1.3%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) beta)) (*.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) beta))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

8 calls:

77.0ms
beta
33.0ms
alpha
13.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
1.7b2alpha
13.3b7beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 306 to 221 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999813224
-0.9994867991866465
Compiler

Compiled 20 to 15 computations (25% saved)

regimes217.0ms (1.6%)

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

8 calls:

110.0ms
beta
52.0ms
alpha
14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms
(/.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
1.7b2alpha
13.9b7beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 258 to 189 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999813224
-0.9994867991866465
Compiler

Compiled 20 to 15 computations (25% saved)

regimes90.0ms (0.7%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

2 calls:

59.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
2.3b2alpha
14.4b7beta
Compiler

Compiled 137 to 106 computations (22.6% saved)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
1.8844991979027493e-19
3.9622153817385275
Results
20.0ms176×body256valid
Compiler

Compiled 284 to 235 computations (17.3% saved)

regimes98.0ms (0.7%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
Calls

2 calls:

63.0ms
beta
30.0ms
alpha
Results
ErrorSegmentsBranch
5.9b2alpha
14.4b7beta
Compiler

Compiled 84 to 65 computations (22.6% saved)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
1.8844991979027493e-19
3.9622153817385275
Results
19.0ms176×body256valid
Compiler

Compiled 262 to 213 computations (18.7% saved)

regimes167.0ms (1.2%)

Counts
9 → 8
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
Calls

2 calls:

152.0ms
beta
13.0ms
alpha
Results
ErrorSegmentsBranch
18.5b2alpha
15.8b8beta
Compiler

Compiled 57 to 45 computations (21.1% saved)

bsearch111.0ms (0.8%)

Algorithm
7×binary-search
Steps
TimeLeftRight
22.0ms
2.4875335196081697e-6
0.006322101943080884
0.0ms
1.880449212173301e-84
1.9420312978456362e-84
21.0ms
2.025706308704143e-134
1.3669774263251252e-130
18.0ms
2.0706168105242482e-283
7.676665606287754e-282
13.0ms
-3.740043850062613e-306
-1.591878995089122e-306
22.0ms
-5.535458438406575e-41
-7.15600001468367e-45
16.0ms
-3.195017059444966e-24
-1.502236875629071e-24
Results
59.0ms475×body256valid
26.0ms95×body1024valid
11.0ms67×body512valid
6.0ms19×body2048valid
Compiler

Compiled 642 to 588 computations (8.4% saved)

regimes51.0ms (0.4%)

Counts
7 → 8
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 2 2)
Calls

2 calls:

38.0ms
beta
11.0ms
alpha
Results
ErrorSegmentsBranch
19.1b2alpha
15.9b8beta
Compiler

Compiled 43 to 34 computations (20.9% saved)

bsearch112.0ms (0.8%)

Algorithm
7×binary-search
Steps
TimeLeftRight
21.0ms
2.4875335196081697e-6
0.006322101943080884
0.0ms
1.880449212173301e-84
1.9420312978456362e-84
20.0ms
2.025706308704143e-134
1.3669774263251252e-130
20.0ms
2.0706168105242482e-283
7.676665606287754e-282
15.0ms
-3.740043850062613e-306
-1.591878995089122e-306
20.0ms
-5.535458438406575e-41
-7.15600001468367e-45
16.0ms
-3.195017059444966e-24
-1.502236875629071e-24
Results
47.0ms455×body256valid
31.0ms104×body1024valid
19.0ms83×body512valid
4.0ms14×body2048valid
Compiler

Compiled 610 to 564 computations (7.5% saved)

regimes44.0ms (0.3%)

Counts
6 → 8
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 2 2)
Calls

2 calls:

34.0ms
beta
8.0ms
alpha
Results
ErrorSegmentsBranch
19.2b2alpha
15.9b8beta
Compiler

Compiled 36 to 28 computations (22.2% saved)

bsearch131.0ms (1%)

Algorithm
7×binary-search
Steps
TimeLeftRight
24.0ms
0.006322101943080884
444950832.0822096
21.0ms
1.752925997542474e-87
4.731114103736866e-86
21.0ms
2.025706308704143e-134
1.3669774263251252e-130
16.0ms
2.0706168105242482e-283
7.676665606287754e-282
13.0ms
-3.740043850062613e-306
-1.591878995089122e-306
21.0ms
-5.535458438406575e-41
-7.15600001468367e-45
12.0ms
-3.195017059444966e-24
-1.502236875629071e-24
Results
65.0ms576×body256valid
32.0ms121×body1024valid
15.0ms88×body512valid
5.0ms15×body2048valid
Compiler

Compiled 700 to 655 computations (6.4% saved)

regimes15.0ms (0.1%)

Accuracy

Total -41.9b remaining (-210.2%)

Threshold costs -41.9b (-210.2%)

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

2 calls:

9.0ms
beta
6.0ms
alpha
Results
ErrorSegmentsBranch
31.6b2alpha
19.9b2beta
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
25.0ms
0.006322101943080884
444950832.0822096
Results
14.0ms114×body256valid
6.0ms26×body1024valid
3.0ms20×body512valid
Compiler

Compiled 140 to 135 computations (3.6% saved)

simplify25.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
27×+-commutative_binary64
14×sub-neg_binary64
10×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115559
1144559
2168559
3187559
4201559
5205559
6206559
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 8782019273372467/2251799813685248) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 8782019273372467/2251799813685248) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta -1565298887836317/680564733841876926926749214863536422912) (/.f64 1 2) (if (<=.f64 beta -6277101735386681/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 1 2) (if (<=.f64 beta 8789719043324849/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6742976868682543/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 1 2) (if (<=.f64 beta 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7148113328562451/1152921504606846976) (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))))
(if (<=.f64 beta -8275667163517223/5444517870735015415413993718908291383296) (/.f64 1 2) (if (<=.f64 beta -5394384303847929/98079714615416886934934209737619787751599303819750539264) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 1 2) (if (<=.f64 beta 176579177209651/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6742976868682543/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 1 2) (if (<=.f64 beta 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7148113328562451/1152921504606846976) (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) (/.f64 2 2))))))))
(if (<=.f64 beta -8275667163517223/5444517870735015415413993718908291383296) (/.f64 1 2) (if (<=.f64 beta -1225996432692711/24519928653854221733733552434404946937899825954937634816) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 1 2) (if (<=.f64 beta 8789719043324849/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7592092474368493/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 1 2) (if (<=.f64 beta 2687693690613365/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 8782019273372467/2251799813685248) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 8782019273372467/2251799813685248) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 8782019273372467/2251799813685248) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 8782019273372467/2251799813685248) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta -1565298887836317/680564733841876926926749214863536422912) (/.f64 1 2) (if (<=.f64 beta -6277101735386681/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 1 2) (if (<=.f64 beta 8789719043324849/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6742976868682543/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 1 2) (if (<=.f64 beta 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7148113328562451/1152921504606846976) (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))))
(if (<=.f64 beta -1565298887836317/680564733841876926926749214863536422912) 1/2 (if (<=.f64 beta -6277101735386681/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) 1/2 (if (<=.f64 beta 8789719043324849/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6742976868682543/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) 1/2 (if (<=.f64 beta 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7148113328562451/1152921504606846976) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))))
(if (<=.f64 beta -1565298887836317/680564733841876926926749214863536422912) 1/2 (if (<=.f64 beta -6277101735386681/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) 1/2 (if (<=.f64 beta 8789719043324849/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6742976868682543/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) 1/2 (if (<=.f64 beta 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7148113328562451/1152921504606846976) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))))))
(if (<=.f64 beta -8275667163517223/5444517870735015415413993718908291383296) (/.f64 1 2) (if (<=.f64 beta -5394384303847929/98079714615416886934934209737619787751599303819750539264) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 1 2) (if (<=.f64 beta 176579177209651/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6742976868682543/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 1 2) (if (<=.f64 beta 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7148113328562451/1152921504606846976) (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) (/.f64 2 2))))))))
(if (<=.f64 beta -8275667163517223/5444517870735015415413993718908291383296) 1/2 (if (<=.f64 beta -5394384303847929/98079714615416886934934209737619787751599303819750539264) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) 1/2 (if (<=.f64 beta 176579177209651/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6742976868682543/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) 1/2 (if (<=.f64 beta 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7148113328562451/1152921504606846976) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) 1)))))))
(if (<=.f64 beta -8275667163517223/5444517870735015415413993718908291383296) (/.f64 1 2) (if (<=.f64 beta -1225996432692711/24519928653854221733733552434404946937899825954937634816) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 1 2) (if (<=.f64 beta 8789719043324849/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7592092474368493/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 1 2) (if (<=.f64 beta 2687693690613365/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))))))
(if (<=.f64 beta -8275667163517223/5444517870735015415413993718908291383296) 1/2 (if (<=.f64 beta -1225996432692711/24519928653854221733733552434404946937899825954937634816) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -5060056332682765/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) 1/2 (if (<=.f64 beta 8789719043324849/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7592092474368493/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) 1/2 (if (<=.f64 beta 2687693690613365/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1)))))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 407 to 309 computations (24.1% saved)

soundness0.0ms (0%)

end172.0ms (1.3%)

Compiler

Compiled 387 to 283 computations (26.9% saved)

Profiling

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