Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, B

Time bar (total: 13.4s)

analyze181.0ms (1.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
6.3%6.2%93.7%0.1%0%0%0%5
6.5%6.2%90.5%0.1%0%3.1%0%6
22.8%20.3%68.7%0.1%0%10.9%0%7
25.7%22.6%65.6%0.1%0%11.7%0%8
37.3%31.6%53.1%0.1%0%15.2%0%9
39%33%51.5%0.1%0%15.4%0%10
45.2%37.5%45.4%0.1%0%17.1%0%11
46.2%38.2%44.5%0.1%0%17.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.1s (15.8%)

Results
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Bogosity

preprocess838.0ms (6.2%)

Algorithm
egg-herbie
Rules
6246×fma-neg
1048×fma-define
1002×unsub-neg
788×sub-neg
652×distribute-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
970-0-(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
750-0-(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
00-0-x
00-0-(-.f64 x y)
00-0-y
00-0-(-.f64 1 y)
00-0-(/.f64 (-.f64 x y) (-.f64 1 y))
00-0-(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
00-0-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036340
185302
2213274
3524266
41141266
52679266
63229266
73502266
83835266
94356266
104661266
115968266
126677266
137377266
147547266
157607266
167623266
177623266
187631266
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 (neg.f64 x) y) (-.f64 1 y)))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x (neg.f64 y)) (-.f64 1 (neg.f64 y))))))
(neg.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 (neg.f64 x) y) (-.f64 1 y))))))
(neg.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x (neg.f64 y)) (-.f64 1 (neg.f64 y)))))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x)))))
Outputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 (neg.f64 x) y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 x) y)) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 1 y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x (neg.f64 y)) (-.f64 1 (neg.f64 y))))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 (neg.f64 x) y) (+.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 -1 y))))
(neg.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 (neg.f64 x) y) (-.f64 1 y))))))
(+.f64 -1 (log1p.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 x) y)) (-.f64 1 y))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 1 y))) -1)
(neg.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x (neg.f64 y)) (-.f64 1 (neg.f64 y)))))))
(+.f64 -1 (log1p.f64 (/.f64 (-.f64 (neg.f64 x) y) (+.f64 1 y))))
(+.f64 (log1p.f64 (/.f64 (-.f64 (neg.f64 x) y) (+.f64 1 y))) -1)
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 -1 y))) -1)
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (neg.f64 (-.f64 1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 1 x))))
Compiler

Compiled 114 to 69 computations (39.5% saved)

eval1.0ms (0%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
Compiler

Compiled 12 to 9 computations (25% saved)

localize173.0ms (1.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
100.0%
(/.f64 (-.f64 x y) (+.f64 y -1))
73.0%
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
Compiler

Compiled 38 to 21 computations (44.7% saved)

series28.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@0
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
2.0ms
y
@inf
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
2.0ms
x
@-inf
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
2.0ms
y
@-inf
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
2.0ms
x
@0
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))

rewrite244.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1114×log1p-expm1-u
1114×expm1-log1p-u
678×fma-define
386×fma-neg
338×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01598
119398
2285998
Stop Event
node limit
Counts
3 → 115
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
(/.f64 (-.f64 x y) (+.f64 y -1))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
Outputs
(-.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1)
(*.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))
(log.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))
(fma.f64 1 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) (cbrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))) (cbrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) (sqrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) -1)
(+.f64 (/.f64 x (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(-.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) 1)
(-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))
(*.f64 (-.f64 x y) (/.f64 1 (+.f64 y -1)))
(*.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)
(*.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) (+.f64 y -1)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 y -1))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 y -1)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 y -1))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (fma.f64 y -1 1)))
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (+.f64 y -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 y -1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (neg.f64 y)))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)
(pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (fma.f64 y -1 1)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y -1)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 y -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))
(fma.f64 x (/.f64 1 (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) -1)
(fma.f64 1 (/.f64 x (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) (cbrt.f64 (/.f64 x (+.f64 y -1)))) (cbrt.f64 (/.f64 x (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) -1)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 y -1))) (sqrt.f64 (/.f64 x (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 x (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (neg.f64 y)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y 1) (neg.f64 (/.f64 y (+.f64 y -1))))
(+.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(*.f64 1 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(*.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(*.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1)))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)) (/.f64 1 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))) (neg.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (-.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2))
(log.f64 (exp.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1))
(fma.f64 -1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)
(fma.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)

simplify176.0ms (1.3%)

Algorithm
egg-herbie
Rules
906×sub-neg
674×fma-neg
574×fma-define
536×+-commutative
480×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056212942
1170111506
2596710950
Stop Event
node limit
Counts
187 → 363
Calls
Call 1
Inputs
(log.f64 (-.f64 1 (/.f64 y (-.f64 y 1))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))))))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x))))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (+.f64 y -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 y -1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (neg.f64 y)))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)
(pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (fma.f64 y -1 1)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y -1)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 y -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))
(fma.f64 x (/.f64 1 (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) -1)
(fma.f64 1 (/.f64 x (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) (cbrt.f64 (/.f64 x (+.f64 y -1)))) (cbrt.f64 (/.f64 x (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) -1)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 y -1))) (sqrt.f64 (/.f64 x (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 x (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (neg.f64 y)) (neg.f64 (/.f64 y (+.f64 y -1))))
(fma.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y 1) (neg.f64 (/.f64 y (+.f64 y -1))))
(+.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(*.f64 1 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(*.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(*.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1)))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)) (/.f64 1 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))) (neg.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (-.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2))
(log.f64 (exp.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1))
(fma.f64 -1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)
(fma.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
Outputs
(log.f64 (-.f64 1 (/.f64 y (-.f64 y 1))))
(log.f64 (-.f64 1 (/.f64 y (+.f64 y -1))))
(log1p.f64 (/.f64 y (fma.f64 y -1 1)))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (+.f64 y -1)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (+.f64 y -1))))
(+.f64 (log1p.f64 (/.f64 y (fma.f64 y -1 1))) (/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (+.f64 y -1)))) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (+.f64 y -1)))))
(+.f64 (log1p.f64 (/.f64 y (fma.f64 y -1 1))) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2))) (/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1))))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (+.f64 y -1)))) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 3) (pow.f64 (+.f64 y -1) 3))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (+.f64 y -1))))))
(+.f64 (log1p.f64 (/.f64 y (fma.f64 y -1 1))) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 3) (pow.f64 (+.f64 y -1) 3))) (/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))))))
(+.f64 (log1p.f64 (/.f64 y (fma.f64 y -1 1))) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2))) (fma.f64 1/3 (/.f64 (pow.f64 (/.f64 x (-.f64 1 (/.f64 y (+.f64 y -1)))) 3) (pow.f64 (+.f64 y -1) 3)) (/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))))))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (neg.f64 (log.f64 (+.f64 y -1))) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y -1)))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)))
(+.f64 (neg.f64 (log.f64 (+.f64 y -1))) (fma.f64 -1 (neg.f64 (log.f64 x)) (*.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 (+.f64 y -1) x))))
(-.f64 (fma.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 (+.f64 y -1) x) (log.f64 x)) (log.f64 (+.f64 y -1)))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x))))
(+.f64 (neg.f64 (log.f64 (+.f64 y -1))) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (/.f64 (pow.f64 (+.f64 y -1) 2) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 (+.f64 y -1) x)))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 y -1))) (fma.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 (+.f64 y -1) x) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (*.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)))))
(+.f64 (neg.f64 (log.f64 (+.f64 y -1))) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (/.f64 (pow.f64 (+.f64 y -1) 2) (pow.f64 x 2))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 3) (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3))) (*.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 (+.f64 y -1) x))))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 y -1))) (fma.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (/.f64 (pow.f64 (+.f64 y -1) 2) (pow.f64 x 2))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 3) (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3))) (*.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 (+.f64 y -1) x)))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 y -1))) (fma.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 2) (/.f64 (pow.f64 (+.f64 y -1) 2) (pow.f64 x 2))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) 3) (pow.f64 (/.f64 (+.f64 y -1) x) 3)) (*.f64 (-.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 (+.f64 y -1) x)))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (neg.f64 (log.f64 (/.f64 -1 x))))
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(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (-.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(/.f64 1 (/.f64 (+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)) (+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)) (+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 3)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(log.f64 (exp.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(+.f64 (-.f64 2 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) -1)
(+.f64 (+.f64 2 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) -1)
(log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(fma.f64 -1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(fma.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(fma.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))

eval197.0ms (1.5%)

Compiler

Compiled 10553 to 7838 computations (25.7% saved)

prune60.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New35013363
Fresh000
Picked011
Done000
Total35014364
Accuracy
99.9%
Counts
364 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
8.5%
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
30.2%
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
62.9%
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
73.0%
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
40.0%
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
73.5%
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
12.2%
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))))
72.0%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))))
73.3%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
64.7%
(-.f64 1 (log1p.f64 (neg.f64 x)))
2.3%
(-.f64 1 (log1p.f64 -1))
64.7%
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
41.0%
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
Compiler

Compiled 312 to 251 computations (19.6% saved)

localize278.0ms (2.1%)

Compiler

Compiled 158 to 104 computations (34.2% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune37.0ms (0.3%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New000
Fresh088
Picked055
Done011
Total01414
Accuracy
99.9%
Counts
14 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
8.5%
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
30.2%
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
62.9%
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
73.0%
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
40.0%
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
73.5%
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
12.2%
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))))
72.0%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))))
73.3%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
64.7%
(-.f64 1 (log1p.f64 (neg.f64 x)))
2.3%
(-.f64 1 (log1p.f64 -1))
64.7%
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
41.0%
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
Compiler

Compiled 256 to 204 computations (20.3% saved)

localize607.0ms (4.5%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
100.0%
(/.f64 (-.f64 x y) (+.f64 y -1))
99.6%
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
76.1%
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
100.0%
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
100.0%
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
100.0%
(/.f64 (neg.f64 y) (+.f64 y -1))
76.0%
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1)))
100.0%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
100.0%
(/.f64 1 (+.f64 y -1))
99.9%
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))
76.1%
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))
Compiler

Compiled 176 to 97 computations (44.9% saved)

series142.0ms (1.1%)

Counts
10 → 192
Calls

48 calls:

TimeVariablePointExpression
59.0ms
y
@0
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
14.0ms
y
@-inf
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
9.0ms
y
@inf
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
7.0ms
y
@inf
(log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
4.0ms
x
@0
(log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))

rewrite215.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
504×log1p-expm1-u
308×associate-*r*
233×expm1-log1p-u
222×add-exp-log
221×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031312
1559286
27471286
Stop Event
node limit
Counts
10 → 319
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))
(/.f64 1 (+.f64 y -1))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1)))
(/.f64 (neg.f64 y) (+.f64 y -1))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
Outputs
(+.f64 0 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(-.f64 0 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(*.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(*.f64 -1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(*.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(*.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) -1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2) (*.f64 0 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)
(neg.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))
(log.f64 (+.f64 1 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1))
(+.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 y)) x) (/.f64 y (+.f64 -1 y)))
(-.f64 (+.f64 1 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(/.f64 1 (/.f64 (+.f64 -1 y) (+.f64 x y)))
(/.f64 1 (/.f64 (/.f64 (+.f64 -1 y) (+.f64 x y)) 1))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 -1 y) (+.f64 x y))))
(/.f64 (+.f64 x y) (+.f64 -1 y))
(/.f64 (+.f64 x y) (+.f64 1 y))
(/.f64 (+.f64 x y) (neg.f64 (+.f64 1 y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.f64 -1 y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (+.f64 -1 y) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 x (+.f64 -1 y)) (*.f64 (+.f64 -1 y) y)) (pow.f64 (+.f64 -1 y) 2))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 1 y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 -1 (pow.f64 (+.f64 x y) 2)) (*.f64 (+.f64 1 y) (+.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (+.f64 -1 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (+.f64 1 y)))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) 2) 1) (*.f64 (+.f64 x y) (+.f64 -1 y)))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) 2) -1) (*.f64 (+.f64 x y) (+.f64 1 y)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 -1 y))) (sqrt.f64 (+.f64 -1 y)))
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(+.f64 1 (+.f64 (neg.f64 (log1p.f64 x)) (log.f64 y)))
(+.f64 1 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 y))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(+.f64 (-.f64 1 (log1p.f64 x)) (*.f64 (log.f64 y) 1))
(+.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) (fma.f64 (log.f64 y) 1 (neg.f64 (log.f64 y))))
(+.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (log.f64 y)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (neg.f64 (log.f64 y))))
(+.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 y)))) (sqrt.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 y))))
(+.f64 (log.f64 y) (-.f64 1 (log1p.f64 x)))
(+.f64 (-.f64 (-.f64 1 (log1p.f64 x)) (log.f64 -1)) (log.f64 y))
(*.f64 1 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))))
(*.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 2) (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) (sqrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y)))))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 1 (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log.f64 y)))) (-.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y))))) (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y))) (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2))) (neg.f64 (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))) (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y)))) (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (log.f64 y) (log.f64 y))) (-.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))) (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))))) (+.f64 1 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y)))))
(pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 2))
(log.f64 (*.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(exp.f64 (log.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 1))
(fma.f64 1 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 x))) (log.f64 y))
(fma.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (-.f64 1 (log1p.f64 x))) (log.f64 y))
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(-.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) 1)
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3) (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(-.f64 (/.f64 1 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2) (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 1 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (/.f64 1 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (/.f64 1 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2) (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))) (neg.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (neg.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))
(log.f64 (exp.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(+.f64 0 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))) (log.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 1 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 1))

simplify385.0ms (2.9%)

Algorithm
egg-herbie
Rules
1440×fma-define
758×times-frac
638×distribute-lft-in
578×sub-neg
556×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121338191
1368834777
Stop Event
node limit
Counts
511 → 747
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))))) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))))) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))))))
(+.f64 (log.f64 (-.f64 x 1)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (-.f64 x 1)) (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 y (-.f64 x 1))))))
(+.f64 (log.f64 (-.f64 x 1)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 y (-.f64 x 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 x 1))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))))))
(+.f64 (log.f64 (-.f64 x 1)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 y (-.f64 x 1)))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (-.f64 x 1) 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 x 1))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
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(+.f64 (-.f64 1 (log1p.f64 x)) (*.f64 (log.f64 y) 1))
(+.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) (fma.f64 (log.f64 y) 1 (neg.f64 (log.f64 y))))
(+.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (log.f64 y)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (neg.f64 (log.f64 y))))
(+.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 y)))) (sqrt.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 y))))
(+.f64 (log.f64 y) (-.f64 1 (log1p.f64 x)))
(+.f64 (-.f64 (-.f64 1 (log1p.f64 x)) (log.f64 -1)) (log.f64 y))
(*.f64 1 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))))
(*.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 2) (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) (sqrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y)))))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 1 (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log.f64 y)))) (-.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y))))) (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y))) (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2))) (neg.f64 (+.f64 (-.f64 1 (log1p.f64 x)) (neg.f64 (log.f64 y)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))) (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y)))) (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (*.f64 (log.f64 y) (log.f64 y))) (-.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))) (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))))) (+.f64 1 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y)))))
(pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 2))
(log.f64 (*.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(exp.f64 (log.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))) 1))
(fma.f64 1 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 x))) (log.f64 y))
(fma.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (-.f64 1 (log1p.f64 x))) (log.f64 y))
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(-.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) 1)
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3) (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(-.f64 (/.f64 1 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2) (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 1 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (/.f64 1 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (/.f64 1 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2) (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))) (neg.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (neg.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))
(log.f64 (exp.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(+.f64 0 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))) (log.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 1 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 1))
Outputs
(log.f64 (+.f64 1 (*.f64 -1 x)))
(log1p.f64 (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))))
(+.f64 (log1p.f64 (neg.f64 x)) (*.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x))))
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))))) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (pow.f64 y 2) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x))))) (*.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)))))
(+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 1 (pow.f64 y 2)) y))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))))) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))))))
(+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 x)) 6)))) (fma.f64 1/2 (*.f64 (pow.f64 y 2) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x))))) (*.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x))))))
(+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/6 (*.f64 2 (pow.f64 y 3)) (fma.f64 1/2 (*.f64 1 (pow.f64 y 2)) y)))
(+.f64 (log.f64 (-.f64 x 1)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (+.f64 x -1)) (neg.f64 (log.f64 y)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 x 1)) (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 y (-.f64 x 1))))))
(+.f64 (log.f64 (+.f64 x -1)) (+.f64 (neg.f64 (/.f64 (-.f64 1 x) (*.f64 y (+.f64 x -1)))) (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (+.f64 x -1)) (-.f64 (/.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (log.f64 y)))
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(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (/.f64 1 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (+.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2) (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (/.f64 1 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))) (neg.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))) (neg.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(/.f64 (-.f64 -1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (-.f64 -1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (neg.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (+.f64 -1 (neg.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(/.f64 (-.f64 -1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (-.f64 -1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 3)
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3) 1/3)
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 2)
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (exp.f64 1) (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))
(fabs.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(log.f64 (exp.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3))
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(expm1.f64 (log1p.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(+.f64 0 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))))
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3))) (log.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)))))
(-.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 3)) (log1p.f64 (+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2))) (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(-.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 2)) (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(*.f64 1 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(*.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2)) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 1)
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 3)
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3) 1/3)
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 2)
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 2))
(fabs.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))))
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y)))) 3))
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))))
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))) 1))
(log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))))

eval707.0ms (5.3%)

Compiler

Compiled 27854 to 20883 computations (25% saved)

prune186.0ms (1.4%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New95916975
Fresh123
Picked325
Done426
Total96722989
Accuracy
99.9%
Counts
989 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.2%
(pow.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 3) 1/3)
8.5%
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 1 (+.f64 (log1p.f64 x) (log.f64 y))))
31.1%
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
22.3%
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
8.5%
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
23.2%
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
62.9%
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
40.0%
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
73.5%
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
12.2%
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))))
72.0%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))))
12.9%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 y) (-.f64 x y))))
64.7%
(-.f64 1 (log1p.f64 (neg.f64 x)))
24.1%
(-.f64 1 (log.f64 (/.f64 -1 y)))
39.3%
(-.f64 1 y)
8.5%
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
41.8%
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
8.5%
(log.f64 (*.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) y))
25.0%
(exp.f64 (log1p.f64 (neg.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))
40.1%
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
3.2%
(exp.f64 (log.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
41.4%
1
Compiler

Compiled 439 to 349 computations (20.5% saved)

localize615.0ms (4.6%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
100.0%
(/.f64 y (-.f64 1 y))
99.5%
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
72.7%
(log1p.f64 (/.f64 y (-.f64 1 y)))
100.0%
(log.f64 (/.f64 -1 y))
100.0%
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
100.0%
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
100.0%
(/.f64 y (-.f64 1 y))
72.7%
(log1p.f64 (/.f64 y (-.f64 1 y)))
100.0%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))))
99.9%
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))
84.6%
(/.f64 (-.f64 x y) (fma.f64 y y -1))
76.1%
(log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))
Compiler

Compiled 161 to 103 computations (36% saved)

series59.0ms (0.4%)

Counts
13 → 200
Calls

51 calls:

TimeVariablePointExpression
4.0ms
y
@0
(log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
3.0ms
x
@inf
(log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))
3.0ms
x
@-inf
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))
3.0ms
x
@0
(log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))
2.0ms
y
@-inf
(log1p.f64 (/.f64 y (-.f64 1 y)))

rewrite265.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
844×log1p-expm1-u
296×associate-*r*
223×expm1-log1p-u
215×add-exp-log
214×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029407
1494399
27055399
Stop Event
node limit
Counts
13 → 419
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))
(/.f64 (-.f64 x y) (fma.f64 y y -1))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(/.f64 y (-.f64 1 y))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(log.f64 (/.f64 -1 y))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(/.f64 y (-.f64 1 y))
(log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
Outputs
(-.f64 (+.f64 1 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y)))))
(*.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y)))) 2))
(log.f64 (+.f64 1 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 y 1) (/.f64 (fma.f64 y y -1) (-.f64 x y))))) 1))
(+.f64 (/.f64 x (fma.f64 y y -1)) (neg.f64 (/.f64 y (fma.f64 y y -1))))
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)))) 1)
(*.f64 (-.f64 x y) (/.f64 1 (fma.f64 y y -1)))
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (fma.f64 y y -1)) 1))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) 1)
(*.f64 1 (/.f64 (-.f64 x y) (fma.f64 y y -1)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))) 2))
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simplify619.0ms (4.6%)

Algorithm
egg-herbie
Rules
1246×fma-define
664×associate-+r+
540×times-frac
510×distribute-rgt-in
484×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108834602
1309932705
Stop Event
node limit
Counts
619 → 706
Calls
Call 1
Inputs
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 y))))
(exp.f64 (log.f64 (/.f64 y (-.f64 1 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 y))) 1))
(+.f64 0 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y)))))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))) (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3))) (log.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2))) (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(*.f64 1 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(*.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(pow.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 1))
Outputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))
(log1p.f64 (neg.f64 (*.f64 y (/.f64 (+.f64 1 y) (fma.f64 y y -1)))))
(log1p.f64 (/.f64 (neg.f64 (fma.f64 y y y)) (fma.f64 y y -1)))
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(*.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (+.f64 y 1))
(*.f64 (+.f64 1 y) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(/.f64 (fma.f64 y y y) (-.f64 1 (pow.f64 y 2)))
(pow.f64 (/.f64 y (-.f64 1 y)) 1)
(/.f64 y (-.f64 1 y))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 3)
(/.f64 y (-.f64 1 y))
(pow.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3) 1/3)
(/.f64 y (-.f64 1 y))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) 2)
(/.f64 y (-.f64 1 y))
(pow.f64 (/.f64 (-.f64 1 y) y) -1)
(/.f64 1 (/.f64 (-.f64 1 y) y))
(/.f64 1 (+.f64 (/.f64 1 y) -1))
(neg.f64 (/.f64 y (neg.f64 (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 1 y)))
(/.f64 y (-.f64 1 y))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 2))
(fabs.f64 (/.f64 y (-.f64 1 y)))
(log.f64 (exp.f64 (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3))
(/.f64 y (-.f64 1 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 y) 3)))
(/.f64 y (-.f64 1 y))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(exp.f64 (log.f64 (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 y))) 1))
(/.f64 y (-.f64 1 y))
(+.f64 0 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y)))))))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))) (log.f64 (hypot.f64 1 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3))) (log.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2)))))
(-.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3)) (log1p.f64 (+.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2))) (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(-.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2)) (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(*.f64 1 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(*.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 1)
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 2))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(pow.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 1)
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 3)
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 3) 1/3)
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 2)
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2))
(fabs.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 3))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 1))
(log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))

eval818.0ms (6.1%)

Compiler

Compiled 20357 to 14769 computations (27.5% saved)

prune262.0ms (2%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New8253828
Fresh11213
Picked145
Done044
Total82723850
Accuracy
99.9%
Counts
850 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.2%
(pow.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 3) 1/3)
8.5%
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 1 (+.f64 (log1p.f64 x) (log.f64 y))))
31.1%
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
22.3%
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
6.3%
(-.f64 1 (/.f64 1 y))
1.6%
(-.f64 1 (-.f64 (/.f64 1 y) (log.f64 y)))
8.5%
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
23.2%
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
62.9%
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
40.0%
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
73.5%
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
12.2%
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))))
42.3%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) (fma.f64 y y -1)) (+.f64 y 1))))
12.9%
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 y) (-.f64 x y))))
64.7%
(-.f64 1 (log1p.f64 (neg.f64 x)))
24.1%
(-.f64 1 (log.f64 (/.f64 -1 y)))
39.3%
(-.f64 1 y)
8.5%
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
8.5%
(log.f64 (*.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) y))
25.0%
(exp.f64 (log1p.f64 (neg.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))
40.1%
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
3.2%
(exp.f64 (log.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
41.4%
1
Compiler

Compiled 558 to 408 computations (26.9% saved)

regimes410.0ms (3.1%)

Counts
34 → 3
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 1 (-.f64 (/.f64 1 y) (log.f64 y)))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 y) (-.f64 x y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) (fma.f64 y y -1)) (+.f64 y 1))))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))))
(log.f64 (*.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) y))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(exp.f64 (log.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y)))))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))
(pow.f64 (pow.f64 (-.f64 1 (-.f64 (log1p.f64 x) (log.f64 y))) 3) 1/3)
(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 1 (+.f64 (log1p.f64 x) (log.f64 y))))
Outputs
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
Calls

6 calls:

239.0ms
x
53.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
44.0ms
y
42.0ms
(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
20.0ms
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
Results
AccuracySegmentsBranch
82.1%6x
99.8%3y
96.7%2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
96.7%2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
96.7%2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
96.7%2(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 52 to 38 computations (26.9% saved)

regimes40.0ms (0.3%)

Counts
25 → 3
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 1 (-.f64 (/.f64 1 y) (log.f64 y)))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 y) (-.f64 x y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) (fma.f64 y y -1)) (+.f64 y 1))))
Outputs
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
Calls

1 calls:

38.0ms
y
Results
AccuracySegmentsBranch
99.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes211.0ms (1.6%)

Counts
23 → 2
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 1 (-.f64 (/.f64 1 y) (log.f64 y)))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 y) (-.f64 x y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
Outputs
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
Calls

5 calls:

134.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
44.0ms
y
15.0ms
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
10.0ms
(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
7.0ms
(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
Results
AccuracySegmentsBranch
93.2%2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
93.2%2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
93.2%2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
93.2%2(/.f64 (-.f64 x y) (-.f64 1 y))
92.8%3y
Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes18.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 1 (-.f64 (/.f64 1 y) (log.f64 y)))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 y) (-.f64 x y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
Calls

1 calls:

17.0ms
y
Results
AccuracySegmentsBranch
89.7%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 1 (-.f64 (/.f64 1 y) (log.f64 y)))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 -1 y))) 1)
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 y) (-.f64 x y))))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
Calls

1 calls:

16.0ms
y
Results
AccuracySegmentsBranch
88.1%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
83.2%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts
6 → 2
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
Calls

1 calls:

33.0ms
y
Results
AccuracySegmentsBranch
82.7%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
Outputs
(-.f64 1 (log1p.f64 (neg.f64 x)))
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
64.7%1x
64.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -25.3b remaining (-67.5%)

Threshold costs -25.3b (-67.5%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(-.f64 1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (log1p.f64 -1))
Outputs
1
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
41.4%1x
41.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch436.0ms (3.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
410.0ms
0.0008472002996141798
6.674546232241973e+19
26.0ms
-265170847.0569372
-220.56546723054242
Results
376.0ms1826×256invalid
39.0ms304×256valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256valid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
Compiler

Compiled 564 to 451 computations (20% saved)

bsearch365.0ms (2.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
345.0ms
0.0008472002996141798
6.674546232241973e+19
20.0ms
-3753692503491.399
-265170847.0569372
Results
289.0ms1757×256invalid
37.0ms288×256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256valid
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0.0ms256invalid
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0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
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0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
12.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
Compiler

Compiled 502 to 403 computations (19.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999977881646549
0.9999999962288464
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-70104035637855176.0
-25972094546339.38
Results
16.0ms112×256valid
1.0ms10×256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 195 to 159 computations (18.5% saved)

bsearch54.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
54.0ms
-3.8309848568229197
-0.0007027871153328108
Results
49.0ms112×256valid
1.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 179 to 151 computations (15.6% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-3.8309848568229197
-0.0007027871153328108
Results
14.0ms112×256valid
1.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 171 to 143 computations (16.4% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-3.8309848568229197
-0.0007027871153328108
Results
14.0ms112×256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 155 to 135 computations (12.9% saved)

simplify27.0ms (0.2%)

Algorithm
egg-herbie
Rules
220×unsub-neg
94×neg-mul-1
70×+-commutative
62×sub-neg
54×distribute-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069647
1106647
2154647
3202647
4237647
5255647
6265647
7335647
8443647
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 y -510000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 1100000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))))
(if (<=.f64 y -1400000000) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) (if (<=.f64 y 29000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007181240342483/9007199254740992) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))))
(if (<=.f64 y -95000000000000) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(if (<=.f64 y -4278419646001971/1125899906842624) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))))
(if (<=.f64 y -4278419646001971/1125899906842624) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))))
(if (<=.f64 y -3) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x))))
(-.f64 1 (log1p.f64 (neg.f64 x)))
1
Outputs
(if (<=.f64 y -510000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 1100000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))))
(if (<=.f64 y -510000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 1100000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))))
(if (<=.f64 y -510000) (+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) (if (<=.f64 y 1100000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))))))
(if (<=.f64 y -1400000000) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) (if (<=.f64 y 29000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))))
(if (<=.f64 y -1400000000) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) (if (<=.f64 y 29000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))))
(if (<=.f64 y -1400000000) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) (if (<=.f64 y 29000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007181240342483/9007199254740992) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007181240342483/9007199254740992) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1 y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007181240342483/9007199254740992) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))))
(if (<=.f64 y -95000000000000) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
(if (<=.f64 y -4278419646001971/1125899906842624) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))))
(if (<=.f64 y -4278419646001971/1125899906842624) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))))
(if (<=.f64 y -4278419646001971/1125899906842624) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))))
(if (<=.f64 y -3) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x))))
(-.f64 1 (log1p.f64 (neg.f64 x)))
1
Compiler

Compiled 202 to 157 computations (22.3% saved)

soundness2.4s (17.7%)

Rules
6246×fma-neg
1440×fma-define
1440×fma-define
1048×fma-define
1002×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036340
185302
2213274
3524266
41141266
52679266
63229266
73502266
83835266
94356266
104661266
115968266
126677266
137377266
147547266
157607266
167623266
177623266
187631266
056212942
1170111506
2596710950
056212942
1170111506
2596710950
056212942
1170111506
2596710950
056212942
1170111506
2596710950
0121338191
1368834777
056212942
1170111506
2596710950
0121338191
1368834777
056212942
1170111506
2596710950
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 641 to 505 computations (21.2% saved)

end0.0ms (0%)

preprocess139.0ms (1%)

Compiler

Compiled 510 to 350 computations (31.4% saved)

Profiling

Loading profile data...