Details

Time bar (total: 8.6s)

analyze48.0ms (0.6%)

Algorithm
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)

sample1.5s (17.7%)

Results
1.0s6458×body256valid
360.0ms1059×body1024valid
119.0ms637×body512valid
33.0ms102×body2048valid
Bogosity

preprocess84.0ms (1%)

Algorithm
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
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 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)

simplify66.0ms (0.8%)

Algorithm
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
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
14.3b
Counts
7 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
14.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
2.3b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series26.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
17.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms
alpha
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms
beta
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms
beta
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite69.0ms (0.8%)

Algorithm
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
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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 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simplify346.0ms (4%)

Algorithm
egg-herbie
Rules
736×fma-neg_binary64
426×unswap-sqr_binary64
320×sub-neg_binary64
262×fma-def_binary64
229×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04775450
113515259
248455165
Stop Event
node limit
Counts
182 → 390
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
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(*.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 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.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) (pow.f64 (+.f64 alpha 2) 3)) (/.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 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 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 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (-.f64 (/.f64 alpha (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3))))
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 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 -2 alpha) alpha))) (+.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 (pow.f64 (+.f64 beta 2) 3)))) (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 1 (-.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 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.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 (-.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 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 1))
(+.f64 (-.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 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
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(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) -1)
(+.f64 -1 (/.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 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) -1)
(+.f64 -1 (/.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))))))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(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))))
(-.f64 (/.f64 (/.f64 beta (cbrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (pow.f64 (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))) 2)) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(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 beta (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (-.f64 alpha (-.f64 -2 beta)))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(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)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))))) (pow.f64 (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))) 2)) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(-.f64 (*.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 alpha (+.f64 2 (+.f64 alpha beta))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))))) (pow.f64 (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))) 2)) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(-.f64 (*.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 alpha (+.f64 2 (+.f64 alpha beta))))
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta))))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2)))
(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))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (neg.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 2 (+.f64 alpha beta))))
(-.f64 (*.f64 (+.f64 4 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) -2))) (/.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 alpha (+.f64 -2 beta)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(-.f64 (*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta))))

eval240.0ms (2.8%)

Compiler

Compiled 11718 to 7763 computations (33.8% saved)

prune127.0ms (1.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New37614390
Fresh000
Picked011
Done000
Total37615391
Error
0.0b
Counts
391 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
48.1b
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2)
14.6b
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
47.0b
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
48.6b
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
13.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
27.7b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
48.3b
(/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2)
50.1b
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))) 2)
14.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
16.9b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
47.8b
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
61.7b
(/.f64 (+.f64 -1 1) 2)
14.4b
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
14.4b
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) 2)
42.0b
(/.f64 2 2)
Compiler

Compiled 599 to 443 computations (26% saved)

localize29.0ms (0.3%)

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)))
2.3b
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 73 to 47 computations (35.6% saved)

series10.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite94.0ms (1.1%)

Algorithm
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
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 +.f64 0 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1))))))
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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))))))

simplify171.0ms (2%)

Algorithm
egg-herbie
Rules
482×fma-def_binary64
314×+-commutative_binary64
296×associate-+r+_binary64
269×associate-*r*_binary64
242×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075910329
121259750
Stop Event
node limit
Counts
366 → 570
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(-.f64 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)))
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2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
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2
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
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(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
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(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) -1)
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1 -1)
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
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(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.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)
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1)
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.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 (pow.f64 (cbrt.f64 (/.f64 beta (+.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 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (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 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (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 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))) (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 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))) (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 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))) (+.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha) 1)
(fma.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (/.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (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 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (/.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (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 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (/.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (+.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) (cbrt.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))) (cbrt.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (sqrt.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) (sqrt.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.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) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.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 alpha (+.f64 2 beta))) 2)) (/.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 alpha (+.f64 2 beta))) 2)) (/.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 (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 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 (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 (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 (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 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 (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 (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 -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 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) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.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))))
(*.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 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 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 (neg.f64 (+.f64 beta 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
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1
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1
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1
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1
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(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 (fma.f64 beta beta (neg.f64 (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 (fma.f64 beta beta (neg.f64 (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)))))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize33.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (+.f64 alpha 2))
2.3b
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
alpha
@inf
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms
alpha
@0
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms
alpha
@-inf
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms
alpha
@inf
(/.f64 alpha (+.f64 alpha 2))
0.0ms
alpha
@0
(/.f64 alpha (+.f64 alpha 2))

rewrite52.0ms (0.6%)

Algorithm
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
0717
116017
2219317
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))))))

simplify46.0ms (0.5%)

Algorithm
egg-herbie
Rules
605×fma-def_binary64
460×associate-/l*_binary64
343×unswap-sqr_binary64
316×times-frac_binary64
285×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01941340
14931217
216151129
Stop Event
node limit
Counts
84 → 124
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 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 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))))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.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 (fma.f64 -1/2 alpha 1) (*.f64 1/4 (*.f64 alpha alpha)))
(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)))))
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(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2)))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2)))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
0.0b
(/.f64 (+.f64 2 beta) alpha)
0.0b
(-.f64 (-.f64 -2 beta) beta)
2.7b
(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))
Compiler

Compiled 86 to 48 computations (44.2% saved)

series16.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

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

rewrite94.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
776×fma-def_binary64
476×fma-neg_binary64
294×expm1-udef_binary64
294×log1p-udef_binary64
180×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01453
134451
2549551
Stop Event
node limit
Counts
4 → 248
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))
(-.f64 (-.f64 -2 beta) beta)
(/.f64 (+.f64 2 beta) alpha)
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 -1 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (neg.f64 (+.f64 beta beta)) (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (neg.f64 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 beta) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 (neg.f64 beta) 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 -1 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 beta 2 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (sqrt.f64 (fma.f64 beta 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2))) (cbrt.f64 (fma.f64 beta 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -2 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (+.f64 beta beta)) (+.f64 -2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 beta 2 8)) (-.f64 (fma.f64 beta 2 4) (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 beta 2 -4)) (fma.f64 beta 2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -8 (+.f64 beta beta)) (+.f64 4 (fma.f64 beta 2 (*.f64 -2 (+.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 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simplify141.0ms (1.6%)

Algorithm
egg-herbie
Rules
347×log-prod_binary64
315×fma-neg_binary64
306×div-sub_binary64
259×exp-prod_binary64
247×cube-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05525033
113964452
247204431
Stop Event
node limit
Counts
332 → 387
Calls
Call 1
Inputs
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(/.f64 2 alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 beta 2) alpha)
(/.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 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
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(fma.f64 -1 (fma.f64 beta 2 2) (fma.f64 -1 beta beta))
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(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta beta))) (cbrt.f64 beta) (-.f64 -2 beta))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (neg.f64 beta))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (*.f64 (neg.f64 beta) 1))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (sqrt.f64 (fma.f64 beta 2 2)) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (sqrt.f64 (fma.f64 beta 2 2)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (sqrt.f64 (fma.f64 beta 2 2)) (fma.f64 -1 beta beta))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (+.f64 beta 2)) (neg.f64 beta))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (+.f64 beta 2)) (*.f64 (neg.f64 beta) 1))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2))) (cbrt.f64 (fma.f64 beta 2 2)) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2))) (cbrt.f64 (fma.f64 beta 2 2)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2))) (cbrt.f64 (fma.f64 beta 2 2)) (fma.f64 -1 beta beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(*.f64 (-.f64 -2 beta) (/.f64 1 (neg.f64 alpha)))
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 (cbrt.f64 (pow.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 (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 (/.f64 1 alpha) (+.f64 beta 2))
(*.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 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))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 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 -2 beta) alpha) (neg.f64 (/.f64 beta alpha)))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) 1)
(-.f64 (/.f64 -2 alpha) (/.f64 (+.f64 beta beta) alpha))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 1)
(*.f64 1 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(*.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (*.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(*.f64 (neg.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 -2 (*.f64 -2 beta)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 -2 (*.f64 -2 beta))) -1)
(neg.f64 (/.f64 (fma.f64 beta 2 2) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 1))
(fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (/.f64 beta alpha)))
(fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
Outputs
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 2 alpha)) (fma.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 2 alpha)) (fma.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))
(*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))
(fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 2 alpha)) (fma.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 2 alpha)) (fma.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))
(*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))
(-.f64 (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))))
(-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 2 alpha) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (/.f64 2 alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) (/.f64 -4 (*.f64 alpha alpha)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 2 alpha)) (fma.f64 beta (neg.f64 (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 2 alpha) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (/.f64 2 alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) (/.f64 -4 (*.f64 alpha alpha)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 2 alpha)) (fma.f64 beta (neg.f64 (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 beta 2 2)) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 beta 2 2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
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(-.f64 (neg.f64 beta) (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (cbrt.f64 (+.f64 2 beta))))
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(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (cbrt.f64 (*.f64 alpha alpha))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (/.f64 (cbrt.f64 (*.f64 alpha alpha)) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (cbrt.f64 alpha)))
(/.f64 (*.f64 1 (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha))) (cbrt.f64 (*.f64 alpha alpha)))
(/.f64 (/.f64 (fma.f64 beta -2 -2) (cbrt.f64 alpha)) (cbrt.f64 (*.f64 alpha alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 beta -2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 1)
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 3) 1/3)
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 3)
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2)
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(pow.f64 (/.f64 alpha (+.f64 -2 (*.f64 -2 beta))) -1)
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(neg.f64 (/.f64 (fma.f64 beta 2 2) alpha))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 2))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(log.f64 (/.f64 1 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 3))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 3) (pow.f64 alpha 3)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 1))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (/.f64 beta alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha))
(-.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha))) (/.f64 beta alpha))
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha)))
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 beta -2 -2) alpha)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha))
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha))) (/.f64 beta alpha))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha))) (/.f64 beta alpha))

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
0.3b
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
2.3b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 79 to 47 computations (40.5% saved)

series36.0ms (0.4%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
9.0ms
beta
@0
(sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
8.0ms
beta
@inf
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
3.0ms
alpha
@-inf
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
3.0ms
alpha
@inf
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
2.0ms
alpha
@0
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)

rewrite88.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01263
128663
2403363
Stop Event
node limit
Counts
4 → 244
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))))))

simplify193.0ms (2.2%)

Algorithm
egg-herbie
Rules
456×fma-def_binary64
345×+-commutative_binary64
248×*-commutative_binary64
237×associate-+l+_binary64
237×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070211542
1203811003
2763711003
Stop Event
node limit
Counts
324 → 472
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(-.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 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/4 (/.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 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.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 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/4 (/.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 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) 2) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 2) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (pow.f64 (sqrt.f64 2) 2))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(pow.f64 (sqrt.f64 2) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (pow.f64 (sqrt.f64 2) 2)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (pow.f64 (sqrt.f64 2) 2))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (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 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) 2) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (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 -1/2 (/.f64 (*.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 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) 2) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (*.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 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) 2) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (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 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) 2) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) -1)
(+.f64 0 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1/2))
(/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
Outputs
(-.f64 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 (pow.f64 (+.f64 2 alpha) 3))) (/.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) (pow.f64 (+.f64 alpha 2) 3)) (/.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 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 beta 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta))) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta 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 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (/.f64 (+.f64 alpha 2) beta))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
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2
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2
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(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
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1
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(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
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1
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-1
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-1
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(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)
(fma.f64 -1 (/.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) alpha) -1)
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(sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
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(sqrt.f64 2)
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(fma.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) (*.f64 beta (sqrt.f64 2))) (sqrt.f64 2))
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(sqrt.f64 2)
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(sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))
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(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 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(-.f64 (*.f64 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta beta)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (/.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 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(-.f64 (/.f64 (*.f64 beta (+.f64 (-.f64 beta alpha) -2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 4) -1)
(+.f64 0 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3/2)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3/2)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/2)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1/4) 2)
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(fabs.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 3/2))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))

eval1.1s (12.2%)

Compiler

Compiled 50452 to 35272 computations (30.1% saved)

prune701.0ms (8.1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New1541121553
Fresh729
Picked011
Done145
Total1549191568
Error
0b
Counts
1568 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
14.6b
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
47.0b
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
50.5b
(/.f64 (/.f64 2 alpha) 2)
47.0b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
48.6b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2)
13.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
48.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2)
51.8b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
59.6b
(/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2)
47.8b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
27.7b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
29.4b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
14.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
16.9b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
51.8b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) 2)
27.7b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
27.7b
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
42.0b
(/.f64 2 2)
29.3b
(/.f64 1 2)
Compiler

Compiled 522 to 400 computations (23.4% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
beta
@0
(/.f64 beta (+.f64 beta 2))
0.0ms
beta
@inf
(/.f64 beta (+.f64 beta 2))
0.0ms
beta
@-inf
(/.f64 beta (+.f64 beta 2))

rewrite42.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
672×pow1_binary64
633×add-log-exp_binary64
632×log1p-expm1-u_binary64
632×expm1-log1p-u_binary64
622×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11177
216287
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 beta (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))))

simplify40.0ms (0.5%)

Algorithm
egg-herbie
Rules
688×fma-def_binary64
329×log-prod_binary64
296×distribute-rgt-in_binary64
294×log-div_binary64
268×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0119613
1304519
2936430
33781423
Stop Event
node limit
Counts
45 → 66
Calls
Call 1
Inputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
Outputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta)))
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4)))
(*.f64 beta (fma.f64 beta -1/4 1/2))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (fma.f64 beta 1/8 -1/4)))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))))
(fma.f64 1/2 beta (fma.f64 (*.f64 beta beta) (fma.f64 beta 1/8 -1/4) (*.f64 -1/16 (pow.f64 beta 4))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 1 (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (+.f64 1 (/.f64 -2 beta)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 1 (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (+.f64 1 (/.f64 -2 beta)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (fma.f64 beta -2 4)))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 14 computations (51.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite48.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
908×pow1_binary64
853×add-log-exp_binary64
851×log1p-expm1-u_binary64
851×expm1-log1p-u_binary64
838×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11658
224878
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 beta 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 (neg.f64 (fma.f64 2 beta 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 (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 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 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 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)))))))

simplify39.0ms (0.5%)

Algorithm
egg-herbie
Rules
489×fma-def_binary64
405×log-prod_binary64
373×log-div_binary64
222×associate-/l*_binary64
209×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089609
1215609
2742456
33802456
Stop Event
node limit
Counts
55 → 40
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 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(*.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 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 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)))
(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 (/.f64 2 alpha) beta)
(+.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 (/.f64 2 alpha) beta)
(+.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 (neg.f64 (fma.f64 2 beta 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 (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 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 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)
(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)

localize62.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
beta
@0
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
0.0ms
beta
@0
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
0.0ms
alpha
@inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
0.0ms
beta
@-inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
0.0ms
beta
@inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))

rewrite87.0ms (1%)

Algorithm
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
01130
128626
2499126
Stop Event
node limit
Counts
2 → 182
Calls
Call 1
Inputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 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 beta (+.f64 beta (+.f64 alpha 2))) (/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 beta (+.f64 beta 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(/.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))))))

simplify126.0ms (1.5%)

Algorithm
egg-herbie
Rules
520×unswap-sqr_binary64
370×fma-neg_binary64
305×div-sub_binary64
266×fma-def_binary64
217×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04595600
112585341
248644564
Stop Event
node limit
Counts
230 → 358
Calls
Call 1
Inputs
(/.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 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.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 2 alpha) 2) (pow.f64 beta 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 2 alpha) 2) (pow.f64 beta 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 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.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 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (/.f64 1 alpha)) (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.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)))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 0 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1)
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2))) (/.f64 1 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(/.f64 1 (/.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (fma.f64 beta alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2)))
(/.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))
(/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (neg.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2)))) (neg.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (neg.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 beta 2))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) alpha))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) 1)) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 alpha)) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 beta 2))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (neg.f64 alpha)))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (fma.f64 (neg.f64 beta) alpha (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 beta 2))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) alpha))
(/.f64 (fma.f64 beta (/.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (/.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (fma.f64 (neg.f64 beta) (/.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) 1)) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (fma.f64 beta (neg.f64 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 alpha)))
(/.f64 (fma.f64 -1 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (neg.f64 alpha)))
(/.f64 (fma.f64 (neg.f64 beta) (neg.f64 alpha) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 beta 2))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (neg.f64 alpha)))
(/.f64 (/.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (exp.f64 (/.f64 (+.f64 beta 2) alpha))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (exp.f64 (/.f64 (+.f64 beta 2) alpha))))
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)) (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))) (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))) (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3))
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(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))
Outputs
(/.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 (+.f64 2 alpha)) (/.f64 1 alpha)) (/.f64 2 alpha))
(+.f64 (*.f64 beta (/.f64 1 (+.f64 2 alpha))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 2 beta) 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 (+.f64 2 alpha)) (/.f64 1 alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (-.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))))
(-.f64 (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 2 beta) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))
(+.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 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 2 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (-.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))
(+.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 2 beta) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (pow.f64 (/.f64 beta (+.f64 2 alpha)) 3))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha))
(+.f64 1 (+.f64 (/.f64 2 alpha) (/.f64 beta alpha)))
(+.f64 1 (/.f64 (+.f64 2 beta) alpha))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 alpha) beta))))
(+.f64 (+.f64 1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (-.f64 -2 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 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))
(+.f64 (+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 alpha) beta)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (-.f64 -2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha))
(+.f64 1 (+.f64 (/.f64 2 alpha) (/.f64 beta alpha)))
(+.f64 1 (/.f64 (+.f64 2 beta) alpha))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 alpha) beta))))
(+.f64 (+.f64 1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (-.f64 -2 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 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))
(+.f64 (+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 alpha) beta)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (-.f64 -2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 2 beta) 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 2 beta))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 beta)))
(+.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 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 beta)))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) beta)))
(-.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta))) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))))
(+.f64 (-.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 beta)))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) beta))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) beta)))
(+.f64 (-.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha)) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) beta)))
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 -1 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(-.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) (+.f64 (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 -1 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(-.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) (+.f64 (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 -2 alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 beta alpha))
(/.f64 (neg.f64 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 beta alpha))
(/.f64 (neg.f64 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (/.f64 1 alpha)) (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.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)))
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(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (+.f64 2 beta) 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 2 (-.f64 alpha beta)))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (+.f64 beta -2) alpha) (/.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 2 beta) alpha))
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 -2 (-.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))
(+.f64 0 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 2 beta) 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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 beta) alpha))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 beta) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 beta) alpha)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 beta) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 beta) 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 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 2 beta) alpha)))))
(-.f64 0 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(/.f64 (+.f64 2 beta) alpha)
(-.f64 (/.f64 0 alpha) (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (+.f64 beta 2) (neg.f64 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (+.f64 beta 2) (/.f64 1 (neg.f64 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(/.f64 (+.f64 2 beta) alpha)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 beta 2))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 beta) (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)) (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (fma.f64 beta -1 -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.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 2 beta) (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(/.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (fma.f64 beta -1 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(/.f64 (+.f64 2 beta) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)
(/.f64 (+.f64 2 beta) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)
(/.f64 (+.f64 2 beta) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)
(/.f64 (+.f64 2 beta) alpha)
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(/.f64 (+.f64 2 beta) alpha)
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(/.f64 (+.f64 2 beta) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 2 beta) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 2 beta) alpha)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(/.f64 (+.f64 2 beta) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 2 beta) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 2 beta) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 2 beta) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))
(/.f64 (+.f64 2 beta) alpha)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
0.1b
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
2.2b
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
Compiler

Compiled 40 to 25 computations (37.5% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
1.0ms
alpha
@-inf
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
1.0ms
alpha
@inf
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
0.0ms
alpha
@inf
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
0.0ms
alpha
@-inf
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))

rewrite55.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
814×pow1_binary64
761×add-log-exp_binary64
759×expm1-log1p-u_binary64
758×log1p-expm1-u_binary64
746×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0833
117626
2249926
Stop Event
node limit
Counts
3 → 79
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 alpha (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2) (/.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))) (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 alpha (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 -1 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 1 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 alpha -2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 alpha (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (+.f64 4 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha -2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha -2))))))))

simplify50.0ms (0.6%)

Algorithm
egg-herbie
Rules
616×associate-/l*_binary64
493×unswap-sqr_binary64
405×associate-/r*_binary64
249×distribute-rgt-in_binary64
238×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02521748
16331488
223351455
Stop Event
node limit
Counts
115 → 201
Calls
Call 1
Inputs
(*.f64 -1/2 alpha)
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (*.f64 -1/2 alpha))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/2 alpha) (*.f64 -1/24 (pow.f64 alpha 3))))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/24 (pow.f64 alpha 3)) (*.f64 1/64 (pow.f64 alpha 4)))))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))
(-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)))
(+.f64 (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2))) (+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha))))
(+.f64 (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2))) (+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (+.f64 (*.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)))))
(exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2))) (*.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 3))))))
(*.f64 -1/2 alpha)
(+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 0 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 1)
(*.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 1)
(*.f64 1 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 2))
(log.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2) (/.f64 alpha (+.f64 alpha -2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))) (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(-.f64 0 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 (/.f64 0 (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha -2)))
(*.f64 alpha (/.f64 -1 (+.f64 alpha -2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (+.f64 alpha -2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (+.f64 alpha -2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 -1 (+.f64 alpha -2)) alpha)
(*.f64 -1 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (+.f64 4 (*.f64 alpha 2))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2)
(pow.f64 (/.f64 (+.f64 alpha -2) alpha) -1)
(neg.f64 (/.f64 alpha (+.f64 alpha -2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha -2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha -2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha -2))))
Outputs
(*.f64 -1/2 alpha)
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (*.f64 -1/2 alpha))
(fma.f64 1/8 (*.f64 alpha alpha) (*.f64 -1/2 alpha))
(*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/8)))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/2 alpha) (*.f64 -1/24 (pow.f64 alpha 3))))
(fma.f64 1/8 (*.f64 alpha alpha) (fma.f64 -1/2 alpha (*.f64 -1/24 (pow.f64 alpha 3))))
(fma.f64 1/8 (*.f64 alpha alpha) (fma.f64 -1/24 (pow.f64 alpha 3) (*.f64 -1/2 alpha)))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/24 (pow.f64 alpha 3)) (*.f64 1/64 (pow.f64 alpha 4)))))
(fma.f64 1/8 (*.f64 alpha alpha) (fma.f64 -1/2 alpha (fma.f64 -1/24 (pow.f64 alpha 3) (*.f64 1/64 (pow.f64 alpha 4)))))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))
(-.f64 (log.f64 2) (log.f64 alpha))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 alpha)))
(+.f64 (-.f64 (log.f64 2) (log.f64 alpha)) (/.f64 -2 alpha))
(-.f64 (-.f64 (log.f64 2) (log.f64 alpha)) (/.f64 2 alpha))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 2) (-.f64 (+.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (log.f64 alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 alpha)) (-.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (-.f64 (/.f64 -2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))
(-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 2 alpha)))
(+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 2 alpha))))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 -2 alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3))))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (-.f64 (/.f64 -2 alpha) (/.f64 8/3 (pow.f64 alpha 3))))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 (*.f64 -1/2 alpha) 1)
(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 (*.f64 alpha alpha) 1/4)))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))))
(+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 1/4 alpha))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4))))
(+.f64 1 (fma.f64 (pow.f64 alpha 3) -1/8 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4)))))
(+.f64 1 (fma.f64 (pow.f64 alpha 3) -1/8 (*.f64 alpha (+.f64 -1/2 (*.f64 1/4 alpha)))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))))
(exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha))))
(/.f64 2 alpha)
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha)))
(fma.f64 (/.f64 2 (*.f64 alpha alpha)) -2 (/.f64 2 alpha))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(+.f64 (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2))) (+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha))))
(fma.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (*.f64 alpha alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha))))
(fma.f64 4 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) (fma.f64 (/.f64 2 (*.f64 alpha alpha)) -2 (/.f64 2 alpha)))
(+.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2))) (+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (+.f64 (*.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)))))
(fma.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (*.f64 alpha alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (fma.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (pow.f64 alpha 3)) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha)))))
(+.f64 (fma.f64 (/.f64 2 (*.f64 alpha alpha)) -2 (/.f64 (*.f64 (/.f64 2 alpha) -8) (pow.f64 alpha 3))) (fma.f64 4 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 -16 (pow.f64 alpha 4)))))
(exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))))
(*.f64 -2 (/.f64 -1 alpha))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))))
(fma.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha) (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))))
(fma.f64 -2 (/.f64 -1 alpha) (/.f64 (*.f64 4 (/.f64 -1 alpha)) alpha))
(fma.f64 -2 (/.f64 -1 alpha) (/.f64 4 (*.f64 (/.f64 alpha -1) alpha)))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2)))))
(+.f64 (fma.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha) (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))))) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -2 (/.f64 -1 alpha) (/.f64 (*.f64 4 (/.f64 -1 alpha)) alpha)) (/.f64 (*.f64 -8 (/.f64 -1 alpha)) (*.f64 alpha alpha)))
(+.f64 (*.f64 -2 (/.f64 -1 alpha)) (*.f64 (*.f64 (/.f64 -2 alpha) (/.f64 -1 alpha)) (+.f64 -2 (/.f64 4 alpha))))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2))) (*.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha) (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))))) (fma.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (*.f64 alpha alpha)) (*.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -2 (/.f64 -1 alpha) (/.f64 (*.f64 4 (/.f64 -1 alpha)) alpha)) (+.f64 (/.f64 (*.f64 -8 (/.f64 -1 alpha)) (*.f64 alpha alpha)) (/.f64 (*.f64 16 (/.f64 -1 alpha)) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -2 (/.f64 -1 alpha) (/.f64 4 (*.f64 (/.f64 alpha -1) alpha))) (*.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (/.f64 -1 alpha) alpha)) (+.f64 4 (/.f64 -8 alpha))))
(*.f64 -1/2 alpha)
(+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4))
(fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4)))
(*.f64 alpha (+.f64 -1/2 (*.f64 1/4 alpha)))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4)))
(fma.f64 (pow.f64 alpha 3) -1/8 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))))
(fma.f64 (pow.f64 alpha 3) -1/8 (*.f64 alpha (+.f64 -1/2 (*.f64 1/4 alpha))))
(+.f64 (*.f64 1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 1/16 (pow.f64 alpha 4) (fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4))))
(fma.f64 (pow.f64 alpha 4) 1/16 (fma.f64 (pow.f64 alpha 3) -1/8 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4)))))
(fma.f64 (pow.f64 alpha 4) 1/16 (fma.f64 (pow.f64 alpha 3) -1/8 (*.f64 alpha (+.f64 -1/2 (*.f64 1/4 alpha)))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(+.f64 (/.f64 2 alpha) -1)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 2 alpha) -1) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 -1 (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 1 (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 -1 (/.f64 -4 (*.f64 alpha alpha)))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(+.f64 (/.f64 2 alpha) -1)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 2 alpha) -1) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 -1 (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 1 (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 -1 (/.f64 -4 (*.f64 alpha alpha)))))
(+.f64 0 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 1)
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 1)
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 1 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 1)
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 3) 1/3)
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 3)
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2)
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 2))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(log.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 3))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(log1p.f64 (/.f64 alpha (+.f64 alpha -2)))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 1)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2) (/.f64 alpha (+.f64 alpha -2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3)) (+.f64 (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 (/.f64 alpha (+.f64 alpha -2)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha -2))))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 3) 1/3)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 3)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))) (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(pow.f64 (E.f64) (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 2))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 3))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(-.f64 0 (/.f64 alpha (+.f64 alpha -2)))
(/.f64 (neg.f64 alpha) (+.f64 alpha -2))
(-.f64 (/.f64 0 (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha -2)))
(/.f64 (neg.f64 alpha) (+.f64 alpha -2))
(*.f64 alpha (/.f64 -1 (+.f64 alpha -2)))
(/.f64 (neg.f64 alpha) (+.f64 alpha -2))
(*.f64 alpha (/.f64 1 (+.f64 alpha -2)))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(*.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(*.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (+.f64 alpha -2))))
(/.f64 (neg.f64 alpha) (+.f64 alpha -2))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (+.f64 alpha -2))))
(/.f64 (neg.f64 alpha) (+.f64 alpha -2))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(*.f64 (/.f64 -1 (+.f64 alpha -2)) alpha)
(/.f64 (neg.f64 alpha) (+.f64 alpha -2))
(*.f64 -1 (/.f64 alpha (+.f64 alpha -2)))
(/.f64 (neg.f64 alpha) (+.f64 alpha -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 alpha (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 alpha (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (neg.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 -1 (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (neg.f64 alpha) (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (+.f64 4 (*.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (+.f64 4 (*.f64 alpha 2))))
(/.f64 alpha (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha alpha (fma.f64 alpha 2 4))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (fma.f64 alpha 2 4)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4)))
(pow.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3) 1/3)
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 3)
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2)
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(pow.f64 (/.f64 (+.f64 alpha -2) alpha) -1)
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(neg.f64 (/.f64 alpha (+.f64 alpha -2)))
(/.f64 (neg.f64 alpha) (+.f64 alpha -2))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha -2))))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha -2))))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha -2))))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 0)
(/.f64 alpha (+.f64 alpha -2))

eval347.0ms (4%)

Compiler

Compiled 16703 to 11885 computations (28.8% saved)

prune213.0ms (2.5%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New7547761
Fresh189
Picked101
Done279
Total75822780
Error
0b
Counts
780 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
14.6b
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
47.0b
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
50.3b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
60.8b
(/.f64 (/.f64 beta alpha) 2)
50.5b
(/.f64 (/.f64 2 alpha) 2)
48.6b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2)
13.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
48.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2)
47.0b
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
51.8b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
59.6b
(/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2)
47.8b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
27.7b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
29.4b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
51.8b
(/.f64 (+.f64 (fma.f64 -2 (/.f64 -1 alpha) (/.f64 4 (*.f64 (/.f64 alpha -1) alpha))) (*.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (/.f64 -1 alpha) alpha)) (+.f64 4 (/.f64 -8 alpha)))) 2)
14.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
51.8b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) 2)
47.5b
(/.f64 (+.f64 (-.f64 1 (/.f64 2 beta)) 1) 2)
31.1b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
58.1b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
42.0b
(/.f64 2 2)
29.3b
(/.f64 1 2)
Compiler

Compiled 580 to 445 computations (23.3% saved)

localize8.0ms (0.1%)

Compiler

Compiled 21 to 17 computations (19% saved)

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize12.0ms (0.1%)

Compiler

Compiled 21 to 17 computations (19% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
0.1b
(+.f64 alpha (+.f64 alpha 2))
0.2b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
Compiler

Compiled 40 to 26 computations (35% saved)

series7.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite72.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
768×prod-diff_binary64
554×log-prod_binary64
369×fma-def_binary64
223×log-div_binary64
215×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0933
122833
2349527
Stop Event
node limit
Counts
3 → 125
Calls
Call 1
Inputs
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(+.f64 alpha (+.f64 alpha 2))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))))) (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) 2) (*.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) (*.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (+.f64 alpha -2) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 alpha -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (cbrt.f64 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (fma.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) 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((x /.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (neg.f64 (fma.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (-.f64 (+.f64 alpha -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 alpha alpha) 3) 8) (fma.f64 (+.f64 alpha alpha) (+.f64 alpha alpha) (-.f64 4 (*.f64 (+.f64 alpha alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 alpha alpha) (+.f64 alpha alpha) -4) (fma.f64 2 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 alpha 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 alpha 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 alpha 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (exp.f64 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 alpha) (+.f64 1 (expm1.f64 (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (+.f64 1 (expm1.f64 (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 alpha))) (exp.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 2 alpha)) (+.f64 1 (expm1.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 alpha))) (+.f64 1 (expm1.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 alpha 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 alpha 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha 2 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha 1 (+.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2 alpha) 1 alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (+.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 alpha) 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 2 alpha))))) (#(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 2 alpha))))) (#(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 2 alpha)) (cbrt.f64 (pow.f64 (+.f64 2 alpha) 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 alpha) 2)) (cbrt.f64 (+.f64 2 alpha)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 alpha))))) (#(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 2 alpha)) (sqrt.f64 (+.f64 2 alpha)) 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 fma.f64 (+.f64 alpha alpha) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 alpha alpha)) (cbrt.f64 (+.f64 alpha alpha))) (cbrt.f64 (+.f64 alpha alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha alpha)) (sqrt.f64 (+.f64 alpha alpha)) 2)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 2 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))))))

simplify89.0ms (1%)

Algorithm
egg-herbie
Rules
556×unswap-sqr_binary64
432×times-frac_binary64
325×associate-/r*_binary64
291×cancel-sign-sub-inv_binary64
184×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03052133
17041901
226751862
Stop Event
node limit
Counts
185 → 179
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
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 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 1 (neg.f64 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))
(+.f64 0 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))))) (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))))
(-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))) 1)
(*.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) 1/2)
(*.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 1)
(*.f64 1 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) 2) (*.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) 1/2))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) (*.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))
(*.f64 (neg.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) -1/2)
(*.f64 1/2 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))
(pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 2)
(pow.f64 (/.f64 2 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))) -1)
(neg.f64 (/.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) -2))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 2))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 alpha 2))) 1)
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (+.f64 alpha -2) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 alpha -2) alpha)))
(*.f64 (fma.f64 2 alpha 2) 1)
(*.f64 1 (fma.f64 2 alpha 2))
(*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (cbrt.f64 (fma.f64 2 alpha 2)))
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 (fma.f64 2 alpha 2)))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (fma.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha) (*.f64 alpha alpha))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (-.f64 (+.f64 alpha -2) alpha)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))
(/.f64 1 (/.f64 (-.f64 (+.f64 alpha -2) alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) (fma.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 alpha)))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (+.f64 alpha -2) alpha))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (neg.f64 (fma.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (-.f64 (+.f64 alpha -2) alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha alpha) 3) 8) (fma.f64 (+.f64 alpha alpha) (+.f64 alpha alpha) (-.f64 4 (*.f64 (+.f64 alpha alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 alpha) alpha))
(/.f64 (fma.f64 (+.f64 alpha alpha) (+.f64 alpha alpha) -4) (fma.f64 2 alpha -2))
(pow.f64 (fma.f64 2 alpha 2) 1)
(pow.f64 (pow.f64 (fma.f64 2 alpha 2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 alpha 2) 2))
(log.f64 (exp.f64 (fma.f64 2 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 alpha 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (exp.f64 (+.f64 2 alpha))))
(log.f64 (*.f64 (exp.f64 alpha) (+.f64 1 (expm1.f64 (+.f64 2 alpha)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (+.f64 1 (expm1.f64 (+.f64 2 alpha)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 alpha))) (exp.f64 alpha)))
(log.f64 (*.f64 (exp.f64 (+.f64 2 alpha)) (+.f64 1 (expm1.f64 alpha))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 alpha))) (+.f64 1 (expm1.f64 alpha))))
(cbrt.f64 (pow.f64 (fma.f64 2 alpha 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 alpha 2)))
(log1p.f64 (expm1.f64 (fma.f64 2 alpha 2)))
(exp.f64 (log.f64 (fma.f64 2 alpha 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 alpha 2)) 1))
(fma.f64 2 alpha 2)
(fma.f64 alpha 2 2)
(fma.f64 alpha 1 (+.f64 2 alpha))
(fma.f64 (+.f64 2 alpha) 1 alpha)
(fma.f64 1 alpha (+.f64 2 alpha))
(fma.f64 1 (+.f64 2 alpha) alpha)
(fma.f64 1 (+.f64 alpha alpha) 2)
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 2 alpha))
(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 2 alpha))
(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 2 alpha)) (cbrt.f64 (pow.f64 (+.f64 2 alpha) 2)) alpha)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 alpha) 2)) (cbrt.f64 (+.f64 2 alpha)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 alpha))
(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 2 alpha)) (sqrt.f64 (+.f64 2 alpha)) 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 (*.f64 (cbrt.f64 (+.f64 alpha alpha)) (cbrt.f64 (+.f64 alpha alpha))) (cbrt.f64 (+.f64 alpha alpha)) 2)
(fma.f64 (sqrt.f64 (+.f64 alpha alpha)) (sqrt.f64 (+.f64 alpha alpha)) 2)
(+.f64 0 (/.f64 (fma.f64 2 alpha 2) beta))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))
Outputs
(*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta))))
(*.f64 1/2 (-.f64 2 (/.f64 2 beta)))
(+.f64 1 (*.f64 (/.f64 -2 beta) 1/2))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(neg.f64 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(neg.f64 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))
(fma.f64 -1 (/.f64 alpha beta) (*.f64 1/2 (-.f64 2 (/.f64 2 beta))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 beta) 1/2)) (/.f64 alpha beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta))
(*.f64 1/2 (/.f64 (fma.f64 alpha -2 -2) beta))
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 1 (*.f64 1/2 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta) 1)
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))
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(fma.f64 2 alpha 2)
(fma.f64 (sqrt.f64 alpha) (+.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)) 2)
(fma.f64 2 alpha 2)
(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) 2) 2)
(fma.f64 2 alpha 2)
(fma.f64 (sqrt.f64 (+.f64 2 alpha)) (sqrt.f64 (+.f64 2 alpha)) alpha)
(fma.f64 2 alpha 2)
(fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (+.f64 alpha alpha))) alpha)
(fma.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (+.f64 alpha alpha))) alpha)
(fma.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 1 (+.f64 (fma.f64 alpha alpha 4) (*.f64 alpha -2))) alpha)
(+.f64 alpha (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 (fma.f64 alpha alpha 4) (*.f64 alpha -2))))
(fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 alpha -2)) alpha)
(+.f64 alpha (/.f64 (fma.f64 alpha alpha -4) (+.f64 alpha -2)))
(fma.f64 (+.f64 alpha alpha) 1 2)
(fma.f64 2 alpha 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 alpha alpha)) (cbrt.f64 (+.f64 alpha alpha))) (cbrt.f64 (+.f64 alpha alpha)) 2)
(fma.f64 2 alpha 2)
(fma.f64 (sqrt.f64 (+.f64 alpha alpha)) (sqrt.f64 (+.f64 alpha alpha)) 2)
(fma.f64 2 alpha 2)
(+.f64 0 (/.f64 (fma.f64 2 alpha 2) beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)))
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (fma.f64 2 alpha 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (fma.f64 2 alpha 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(/.f64 (fma.f64 2 alpha 2) (*.f64 (sqrt.f64 beta) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(/.f64 (fma.f64 2 alpha 2) (*.f64 (sqrt.f64 beta) (sqrt.f64 beta)))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(/.f64 (fma.f64 2 alpha 2) beta)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(/.f64 (fma.f64 2 alpha 2) beta)
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(/.f64 (fma.f64 2 alpha 2) beta)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(/.f64 (fma.f64 2 alpha 2) beta)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))
(/.f64 (fma.f64 2 alpha 2) beta)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))))
3.6b
(*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha))
6.0b
(*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))
7.2b
(/.f64 (*.f64 beta beta) alpha)
Compiler

Compiled 99 to 54 computations (45.5% saved)

series18.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
beta
@inf
(*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))
2.0ms
beta
@inf
(/.f64 (*.f64 beta beta) alpha)
2.0ms
beta
@0
(*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))
1.0ms
beta
@inf
(-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))))
1.0ms
beta
@inf
(*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha))

rewrite95.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
465×fma-neg_binary64
444×log-div_binary64
308×expm1-udef_binary64
308×log1p-udef_binary64
244×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01467
135167
2570367
Stop Event
node limit
Counts
4 → 221
Calls
Call 1
Inputs
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))
(*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha))
(-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 beta alpha) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 beta (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta beta) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 beta alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 beta alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)) 2) (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta 4)) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (*.f64 beta beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 beta beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta 1) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) 1) (/.f64 (pow.f64 (cbrt.f64 beta) 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 beta alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 beta alpha) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (sqrt.f64 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (*.f64 beta beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 beta beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 beta alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 beta alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 beta alpha) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 beta alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 beta alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 beta alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 beta alpha) beta)) 1))))))
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simplify136.0ms (1.6%)

Algorithm
egg-herbie
Rules
474×log-prod_binary64
350×exp-prod_binary64
291×associate-*r*_binary64
287×associate-*l*_binary64
285×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05218736
115007499
264047499
Stop Event
node limit
Counts
317 → 320
Calls
Call 1
Inputs
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (pow.f64 beta 2) alpha)
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 6 (/.f64 beta (pow.f64 alpha 2)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 beta alpha))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 beta alpha))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 6 beta)) (pow.f64 alpha 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 2 (/.f64 beta alpha))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 2 (/.f64 beta alpha))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
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(fma.f64 (sqrt.f64 (/.f64 -2 alpha)) (*.f64 (sqrt.f64 (/.f64 -2 alpha)) (*.f64 (/.f64 beta alpha) beta)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (*.f64 (*.f64 -2 beta) beta) (/.f64 1 (*.f64 alpha alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (*.f64 (*.f64 -2 beta) beta) (/.f64 1 (*.f64 alpha alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (/.f64 -2 (/.f64 alpha (*.f64 beta beta))) (/.f64 1 alpha) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (/.f64 -2 (/.f64 alpha (*.f64 beta beta))) (/.f64 1 alpha) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (*.f64 (/.f64 beta alpha) beta) (cbrt.f64 alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (*.f64 (/.f64 beta alpha) beta) (cbrt.f64 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (/.f64 -2 (sqrt.f64 alpha)) (/.f64 (*.f64 (/.f64 beta alpha) beta) (sqrt.f64 alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (/.f64 -2 (sqrt.f64 alpha)) (/.f64 (*.f64 (/.f64 beta alpha) beta) (sqrt.f64 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (/.f64 (/.f64 -2 alpha) 1) (*.f64 (/.f64 beta alpha) beta) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (/.f64 (/.f64 -2 alpha) 1) (*.f64 (/.f64 beta alpha) beta) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (/.f64 (/.f64 -2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (*.f64 beta beta) (cbrt.f64 alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (/.f64 (/.f64 -2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (*.f64 beta beta) (cbrt.f64 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (/.f64 (/.f64 -2 alpha) (sqrt.f64 alpha)) (/.f64 (*.f64 beta beta) (sqrt.f64 alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (/.f64 (/.f64 -2 alpha) (sqrt.f64 alpha)) (/.f64 (*.f64 beta beta) (sqrt.f64 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (*.f64 (*.f64 (/.f64 beta alpha) beta) (cbrt.f64 (/.f64 4 (*.f64 alpha alpha)))) (cbrt.f64 (/.f64 -2 alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (*.f64 (*.f64 (/.f64 beta alpha) beta) (cbrt.f64 (/.f64 4 (*.f64 alpha alpha)))) (cbrt.f64 (/.f64 -2 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (*.f64 (*.f64 (/.f64 beta alpha) beta) (sqrt.f64 (/.f64 -2 alpha))) (sqrt.f64 (/.f64 -2 alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (*.f64 (*.f64 (/.f64 beta alpha) beta) (sqrt.f64 (/.f64 -2 alpha))) (sqrt.f64 (/.f64 -2 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (*.f64 (/.f64 -2 alpha) (pow.f64 (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)) 2)) (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (*.f64 (/.f64 -2 alpha) (pow.f64 (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)) 2)) (cbrt.f64 (*.f64 (/.f64 beta alpha) beta)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (*.f64 (/.f64 -2 alpha) (/.f64 beta (sqrt.f64 alpha))) (/.f64 beta (sqrt.f64 alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (neg.f64 beta)))
(fma.f64 (*.f64 (/.f64 -2 alpha) (/.f64 beta (sqrt.f64 alpha))) (/.f64 beta (sqrt.f64 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
Outputs
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(/.f64 (pow.f64 beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta (/.f64 beta alpha))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 6 (/.f64 beta (pow.f64 alpha 2)))
(*.f64 beta (/.f64 6 (*.f64 alpha alpha)))
(*.f64 6 (/.f64 (/.f64 beta alpha) alpha))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 -2 (/.f64 beta alpha))
(*.f64 beta (/.f64 -2 alpha))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 -2 (/.f64 beta alpha))
(*.f64 beta (/.f64 -2 alpha))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 beta (/.f64 (/.f64 beta alpha) (*.f64 alpha -1/2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
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(fma.f64 (/.f64 beta (sqrt.f64 alpha)) (*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 -2 alpha)) (*.f64 (neg.f64 beta) (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))) (*.f64 (pow.f64 (/.f64 beta (sqrt.f64 alpha)) 2) (/.f64 -2 alpha)))
(fma.f64 (*.f64 (/.f64 -2 alpha) (/.f64 beta (sqrt.f64 alpha))) (/.f64 beta (sqrt.f64 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(fma.f64 (/.f64 beta (sqrt.f64 alpha)) (*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 -2 alpha)) (neg.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (fma.f64 (neg.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) beta (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))))
(-.f64 (*.f64 (pow.f64 (/.f64 beta (sqrt.f64 alpha)) 2) (/.f64 -2 alpha)) (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (+.f64 (neg.f64 beta) beta))))

eval256.0ms (3%)

Compiler

Compiled 14100 to 8452 computations (40.1% saved)

prune166.0ms (1.9%)

Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New4936499
Fresh2810
Picked101
Done2911
Total49823521
Error
0b
Counts
521 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
14.6b
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
47.0b
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
50.3b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
58.1b
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
60.8b
(/.f64 (/.f64 beta alpha) 2)
58.1b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
50.5b
(/.f64 (/.f64 2 alpha) 2)
48.6b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2)
48.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2)
47.0b
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
51.8b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
59.4b
(/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (/.f64 -2 alpha))) 2)
47.8b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
45.1b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
47.5b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
27.7b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
29.4b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
51.8b
(/.f64 (+.f64 (fma.f64 -2 (/.f64 -1 alpha) (/.f64 4 (*.f64 (/.f64 alpha -1) alpha))) (*.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (/.f64 -1 alpha) alpha)) (+.f64 4 (/.f64 -8 alpha)))) 2)
14.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
51.8b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) 2)
31.1b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
29.3b
(/.f64 1 2)
42.0b
1
Compiler

Compiled 322 to 248 computations (23% saved)

regimes236.0ms (2.7%)

Counts
40 → 2
Calls
Call 1
Inputs
1
(/.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 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (+.f64 (-.f64 1 (/.f64 2 beta)) 1) 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 (+.f64 beta beta) 2) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
(/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (/.f64 -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 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 (fma.f64 -2 (/.f64 -1 alpha) (/.f64 4 (*.f64 (/.f64 alpha -1) alpha))) (*.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (/.f64 -1 alpha) alpha)) (+.f64 4 (/.f64 -8 alpha)))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) 2)
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) 2)
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2)
(/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2)
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))) 2)
Outputs
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

8 calls:

83.0ms
alpha
52.0ms
beta
24.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
21.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
1.8b2alpha
13.8b1beta
0.0b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.0b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.0b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.0b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.0b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
0.0b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 668 to 466 computations (30.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.99999994660024
-0.999875471538044
Compiler

Compiled 20 to 15 computations (25% saved)

regimes160.0ms (1.8%)

Counts
27 → 2
Calls
Call 1
Inputs
1
(/.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 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (+.f64 (-.f64 1 (/.f64 2 beta)) 1) 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 (+.f64 beta beta) 2) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2)
(/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (/.f64 -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 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2)
Outputs
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

8 calls:

48.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
47.0ms
alpha
16.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
13.0ms
beta
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
1.9b2alpha
13.8b1beta
0.3b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.3b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.3b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.3b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.3b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
0.3b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 337 to 241 computations (28.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999311637
-0.99999994660024
Compiler

Compiled 20 to 15 computations (25% saved)

regimes82.0ms (0.9%)

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

2 calls:

56.0ms
alpha
20.0ms
beta
Results
ErrorSegmentsBranch
3.7b2alpha
15.0b2beta
Compiler

Compiled 171 to 130 computations (24% saved)

bsearch45.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
254118.12350907456
29054444255.966534
Results
43.0ms144×body256valid
Compiler

Compiled 236 to 186 computations (21.2% saved)

regimes84.0ms (1%)

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

54.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
6.9b2alpha
15.0b2beta
Compiler

Compiled 115 to 90 computations (21.7% saved)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
254118.12350907456
29054444255.966534
Results
33.0ms144×body256valid
Compiler

Compiled 218 to 177 computations (18.8% saved)

regimes70.0ms (0.8%)

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

2 calls:

49.0ms
beta
17.0ms
alpha
Results
ErrorSegmentsBranch
17.4b2alpha
16.7b2beta
Compiler

Compiled 88 to 70 computations (20.5% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
2.500157830958561e-8
242.82236739244127
Results
13.0ms133×body256valid
6.0ms23×body1024valid
1.0msbody2048valid
0.0msbody512valid
Compiler

Compiled 220 to 195 computations (11.4% saved)

regimes25.0ms (0.3%)

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

2 calls:

11.0ms
beta
10.0ms
alpha
Results
ErrorSegmentsBranch
17.9b2alpha
16.8b2beta
Compiler

Compiled 51 to 41 computations (19.6% saved)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
2.500157830958561e-8
242.82236739244127
Results
15.0ms123×body256valid
6.0ms26×body1024valid
1.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 160 to 145 computations (9.4% saved)

regimes63.0ms (0.7%)

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

2 calls:

52.0ms
beta
9.0ms
alpha
Results
ErrorSegmentsBranch
18.8b2alpha
17.0b2beta
Compiler

Compiled 44 to 35 computations (20.5% saved)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
2.500157830958561e-8
242.82236739244127
Results
16.0ms126×body256valid
7.0ms24×body1024valid
1.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 160 to 145 computations (9.4% saved)

regimes20.0ms (0.2%)

Accuracy

Total -45.3b remaining (-262.9%)

Threshold costs -45.3b (-262.9%)

Counts
7 → 2
Calls
Call 1
Inputs
1
(/.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)
1
Calls

2 calls:

10.0ms
alpha
8.0ms
beta
Results
ErrorSegmentsBranch
18.8b2alpha
17.2b2beta
Compiler

Compiled 37 to 29 computations (21.6% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
242.82236739244127
1224222.610694659
Results
11.0ms99×body256valid
4.0ms19×body1024valid
1.0msbody512valid
0.0msbody2048valid
Compiler

Compiled 100 to 95 computations (5% saved)

simplify27.0ms (0.3%)

Algorithm
egg-herbie
Rules
16×+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064249
186249
2108249
3116249
4120249
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198804381029/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 820000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha 450000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 7566047373982433/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 3/4) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) 1)
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)
(if (<=.f64 beta 245) (/.f64 1 2) 1)
1
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) 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)) -4503149267407759/4503599627370496) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198804381029/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) 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)) -9007198804381029/9007199254740992) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 820000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha 820000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(if (<=.f64 alpha 450000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 450000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 7566047373982433/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 7566047373982433/4503599627370496) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 3/4) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) 1)
(if (<=.f64 beta 3/4) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) 1)
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)
(if (<=.f64 beta 245) (/.f64 1 2) 1)
(if (<=.f64 beta 245) 1/2 1)
1
Compiler

Compiled 190 to 140 computations (26.3% saved)

soundness121.0ms (1.4%)

Algorithm
egg-herbie
Rules
736×fma-neg_binary64
426×unswap-sqr_binary64
320×sub-neg_binary64
262×fma-def_binary64
229×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04775450
113515259
248455165
Stop Event
node limit
Compiler

Compiled 1381 to 991 computations (28.2% saved)

end110.0ms (1.3%)

Compiler

Compiled 174 to 120 computations (31% saved)

Profiling

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