logq (problem 3.4.3)

Time bar (total: 5.9s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample3.7s (62.3%)

Results
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3.0ms1024valid
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0.0ms256valid
Bogosity

preprocess503.0ms (8.5%)

Algorithm
egg-herbie
Rules
2082×fma-neg
1722×fma-define
1332×distribute-lft-in
732×associate-+r+
728×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
00-0-(-.f64 1 eps)
00-0-(/.f64 (-.f64 1 eps) (+.f64 1 eps))
00-0-(+.f64 1 eps)
00-0-1
00-0-eps
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017120
156100
2137100
3280100
4579100
51315100
62289100
72963100
83603100
94821100
105279100
115430100
125630100
135701100
147291100
157741100
167793100
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps)))))
Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps))))
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (-.f64 1 eps)))
(-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps)))))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Symmetry

(negabs eps)

Compiler

Compiled 59 to 43 computations (27.1% saved)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
7.8%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize225.0ms (3.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
100.0%
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
7.9%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 39 to 22 computations (43.6% saved)

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
2.0ms
eps
@0
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms
eps
@inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms
eps
@inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@-inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite245.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
1534×prod-diff
1454×fma-define
748×log1p-expm1-u
748×expm1-log1p-u
562×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
122967
2330767
Stop Event
node limit
Counts
3 → 343
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (log1p.f64 eps) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(-.f64 (log1p.f64 eps) (log1p.f64 eps))
(-.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) 1)
(-.f64 (log.f64 (+.f64 eps -1)) (log.f64 (+.f64 eps -1)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(/.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (log.f64 (pow.f64 (+.f64 1 eps) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(fma.f64 1 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 1 (log1p.f64 eps) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 1 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps)))
(fma.f64 (log1p.f64 eps) 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (log1p.f64 eps) 1 (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 0)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (cbrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) 0)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
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(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) 0)
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(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) 0)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) (cbrt.f64 (neg.f64 (log1p.f64 eps)))) (cbrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps))

simplify111.0ms (1.9%)

Algorithm
egg-herbie
Rules
960×+-commutative
588×add0
532×fma-define
446×associate-+r+
442×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05573790
119393790
258533790
Stop Event
unsound
Counts
379 → 270
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
1
(+.f64 1 (*.f64 -2 eps))
(+.f64 1 (+.f64 (*.f64 -2 eps) (*.f64 2 (pow.f64 eps 2))))
(+.f64 1 (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 2 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(*.f64 -1 (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps)))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (log1p.f64 eps) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(-.f64 (log1p.f64 eps) (log1p.f64 eps))
(-.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) 1)
(-.f64 (log.f64 (+.f64 eps -1)) (log.f64 (+.f64 eps -1)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(/.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (log.f64 (pow.f64 (+.f64 1 eps) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(fma.f64 1 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 1 (log1p.f64 eps) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 1 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps)))
(fma.f64 (log1p.f64 eps) 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (log1p.f64 eps) 1 (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 0)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (cbrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) 0)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (+.f64 0 (neg.f64 (log1p.f64 eps))))
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(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) 0)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) 0)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) (cbrt.f64 (neg.f64 (log1p.f64 eps)))) (cbrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(*.f64 -2 eps)
(log.f64 -1)
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(*.f64 -2 eps)
(log.f64 -1)
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(*.f64 -2 eps)
1
(*.f64 -2 eps)
(+.f64 1 (*.f64 -2 eps))
(*.f64 -2 eps)
(+.f64 1 (+.f64 (*.f64 -2 eps) (*.f64 2 (pow.f64 eps 2))))
(*.f64 -2 eps)
(+.f64 1 (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 2 (pow.f64 eps 2)))))
(*.f64 -2 eps)
-1
(*.f64 -2 eps)
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(*.f64 -2 eps)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
-1
(*.f64 -2 eps)
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(*.f64 -2 eps)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(*.f64 -2 eps)
(log.f64 -1)
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(*.f64 -2 eps)
(*.f64 -1 (log.f64 -1))
(*.f64 -2 eps)
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(*.f64 -2 eps)
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(*.f64 -2 eps)
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(+.f64 (log1p.f64 eps) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(*.f64 -2 eps)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(+.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(*.f64 -2 eps)
(-.f64 (log1p.f64 eps) (log1p.f64 eps))
(*.f64 -2 eps)
(-.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(*.f64 -2 eps)
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) 1)
(*.f64 -2 eps)
(-.f64 (log.f64 (+.f64 eps -1)) (log.f64 (+.f64 eps -1)))
(*.f64 -2 eps)
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(*.f64 -2 eps)
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 -2 eps)
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 -2 eps)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))
(*.f64 -2 eps)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(*.f64 -2 eps)
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 -2 eps)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))
(*.f64 -2 eps)
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(*.f64 -2 eps)
(/.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(/.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0))))
(*.f64 -2 eps)
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2)))
(*.f64 -2 eps)
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (log.f64 (pow.f64 (+.f64 1 eps) 2)))
(*.f64 -2 eps)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(*.f64 -2 eps)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 -2 eps)
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(*.f64 -2 eps)
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 -2 eps)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(*.f64 -2 eps)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(*.f64 -2 eps)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(*.f64 -2 eps)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(*.f64 -2 eps)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(*.f64 -2 eps)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
(*.f64 -2 eps)
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 1 (log1p.f64 eps) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (log1p.f64 eps) 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 (log1p.f64 eps) 1 (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 0)
(*.f64 -2 eps)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 -2 eps)
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(*.f64 -2 eps)
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 -2 eps)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(*.f64 -2 eps)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(*.f64 -2 eps)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(*.f64 -2 eps)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(*.f64 -2 eps)
(log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)))
(*.f64 -2 eps)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))
(*.f64 -2 eps)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(*.f64 -2 eps)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
(*.f64 -2 eps)
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 1 (log1p.f64 eps) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (log1p.f64 eps) 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 (log1p.f64 eps) 1 (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 0)
(*.f64 -2 eps)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (cbrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) 0)
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (+.f64 0 (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) 0)
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) 0)
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) (cbrt.f64 (neg.f64 (log1p.f64 eps)))) (cbrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) 0)
(*.f64 -2 eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
(*.f64 -2 eps)

eval118.0ms (2%)

Compiler

Compiled 6655 to 4455 computations (33.1% saved)

prune62.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2682270
Fresh000
Picked022
Done000
Total2684272
Accuracy
100.0%
Counts
272 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.6%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
99.2%
(*.f64 -2 eps)
7.8%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize46.0ms (0.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 -2/3 (pow.f64 eps 3))
Compiler

Compiled 31 to 23 computations (25.8% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@-inf
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@inf
(*.f64 -2/3 (pow.f64 eps 3))

rewrite73.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
570×fma-define
476×unpow-prod-down
294×log-prod
286×cbrt-prod
268×sqrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17816
284216
Stop Event
node limit
Counts
1 → 50
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
Outputs
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (/.f64 0 (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(/.f64 1 (/.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (pow.f64 eps 9) -8/27)))
(/.f64 1 (/.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 (pow.f64 eps 6) 4/9)))
(/.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 -2/3 (pow.f64 eps 3)))
(/.f64 (*.f64 (pow.f64 eps 9) -8/27) (*.f64 (pow.f64 eps 6) 4/9))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 9) -8/27)) (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)) (neg.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(/.f64 (+.f64 0 (*.f64 (pow.f64 eps 9) -8/27)) (+.f64 0 (*.f64 (pow.f64 eps 6) 4/9)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) (+.f64 1 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 9) -8/27) 0) (*.f64 (pow.f64 eps 6) 4/9))
(/.f64 (-.f64 0 (*.f64 (pow.f64 eps 6) 4/9)) (-.f64 0 (*.f64 -2/3 (pow.f64 eps 3))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(fabs.f64 (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(fma.f64 -2/3 (pow.f64 eps 3) 0)
(fma.f64 eps (*.f64 (pow.f64 eps 2) -2/3) 0)
(fma.f64 (pow.f64 eps 3) -2/3 0)
(fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1 0)
(fma.f64 (pow.f64 eps 2) (*.f64 eps -2/3) 0)
(fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(fma.f64 (*.f64 eps (cbrt.f64 -2/3)) (*.f64 (pow.f64 eps 2) (cbrt.f64 4/9)) 0)
(fma.f64 (*.f64 (pow.f64 eps 2) (cbrt.f64 4/9)) (*.f64 eps (cbrt.f64 -2/3)) 0)
(fma.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3) 0)
(fma.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 0)
(fma.f64 (*.f64 -2/3 eps) (pow.f64 eps 2) 0)
(fma.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps 0)
(fma.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) (pow.f64 eps 3/2) 0)

simplify50.0ms (0.8%)

Algorithm
egg-herbie
Rules
1310×associate-/r*
1114×associate-/l*
1028×associate-*r*
902×associate-*l*
612×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01351242
14761242
216421242
Stop Event
node limit
Counts
50 → 55
Calls
Call 1
Inputs
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (/.f64 0 (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(/.f64 1 (/.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (pow.f64 eps 9) -8/27)))
(/.f64 1 (/.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 (pow.f64 eps 6) 4/9)))
(/.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 -2/3 (pow.f64 eps 3)))
(/.f64 (*.f64 (pow.f64 eps 9) -8/27) (*.f64 (pow.f64 eps 6) 4/9))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 9) -8/27)) (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)) (neg.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(/.f64 (+.f64 0 (*.f64 (pow.f64 eps 9) -8/27)) (+.f64 0 (*.f64 (pow.f64 eps 6) 4/9)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) (+.f64 1 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 9) -8/27) 0) (*.f64 (pow.f64 eps 6) 4/9))
(/.f64 (-.f64 0 (*.f64 (pow.f64 eps 6) 4/9)) (-.f64 0 (*.f64 -2/3 (pow.f64 eps 3))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(fabs.f64 (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(fma.f64 -2/3 (pow.f64 eps 3) 0)
(fma.f64 eps (*.f64 (pow.f64 eps 2) -2/3) 0)
(fma.f64 (pow.f64 eps 3) -2/3 0)
(fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1 0)
(fma.f64 (pow.f64 eps 2) (*.f64 eps -2/3) 0)
(fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(fma.f64 (*.f64 eps (cbrt.f64 -2/3)) (*.f64 (pow.f64 eps 2) (cbrt.f64 4/9)) 0)
(fma.f64 (*.f64 (pow.f64 eps 2) (cbrt.f64 4/9)) (*.f64 eps (cbrt.f64 -2/3)) 0)
(fma.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3) 0)
(fma.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 0)
(fma.f64 (*.f64 -2/3 eps) (pow.f64 eps 2) 0)
(fma.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps 0)
(fma.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) (pow.f64 eps 3/2) 0)
Outputs
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(*.f64 -2/3 (pow.f64 eps 3))
(-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (/.f64 0 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(/.f64 1 (/.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (pow.f64 eps 9) -8/27)))
(/.f64 1 (*.f64 (/.f64 (pow.f64 eps 6) (pow.f64 eps 9)) -3/2))
(/.f64 1 (/.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 (pow.f64 eps 6) 4/9)))
(*.f64 -2/3 (pow.f64 eps 3))
(/.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(/.f64 (*.f64 (pow.f64 eps 9) -8/27) (*.f64 (pow.f64 eps 6) 4/9))
(/.f64 1 (*.f64 (/.f64 (pow.f64 eps 6) (pow.f64 eps 9)) -3/2))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 9) -8/27)) (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)))
(/.f64 1 (*.f64 (/.f64 (pow.f64 eps 6) (pow.f64 eps 9)) -3/2))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)) (neg.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(/.f64 (+.f64 0 (*.f64 (pow.f64 eps 9) -8/27)) (+.f64 0 (*.f64 (pow.f64 eps 6) 4/9)))
(/.f64 1 (*.f64 (/.f64 (pow.f64 eps 6) (pow.f64 eps 9)) -3/2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) (+.f64 1 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) 3) -1) (fma.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) (+.f64 2 (*.f64 -2/3 (pow.f64 eps 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 9) -8/27) 0) (*.f64 (pow.f64 eps 6) 4/9))
(/.f64 1 (*.f64 (/.f64 (pow.f64 eps 6) (pow.f64 eps 9)) -3/2))
(/.f64 (-.f64 0 (*.f64 (pow.f64 eps 6) 4/9)) (-.f64 0 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
(/.f64 (fma.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) -1) (+.f64 2 (*.f64 -2/3 (pow.f64 eps 3))))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(*.f64 -2/3 (pow.f64 eps 3))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(fabs.f64 (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 -2/3 (pow.f64 eps 3) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 eps (*.f64 (pow.f64 eps 2) -2/3) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (pow.f64 eps 3) -2/3 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (pow.f64 eps 2) (*.f64 eps -2/3) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (*.f64 eps (cbrt.f64 -2/3)) (*.f64 (pow.f64 eps 2) (cbrt.f64 4/9)) 0)
(fma.f64 (*.f64 (pow.f64 eps 2) (cbrt.f64 4/9)) (*.f64 eps (cbrt.f64 -2/3)) 0)
(fma.f64 (*.f64 eps (cbrt.f64 -2/3)) (*.f64 (pow.f64 eps 2) (cbrt.f64 4/9)) 0)
(fma.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (*.f64 -2/3 eps) (pow.f64 eps 2) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) (pow.f64 eps 3/2) 0)
(*.f64 -2/3 (pow.f64 eps 3))

eval23.0ms (0.4%)

Compiler

Compiled 851 to 701 computations (17.6% saved)

prune9.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New55055
Fresh000
Picked022
Done022
Total55459
Accuracy
100.0%
Counts
59 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.6%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
99.2%
(*.f64 -2 eps)
7.8%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 57 to 43 computations (24.6% saved)

regimes7.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

3 calls:

3.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
100.0%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes8.0ms (0.1%)

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

3 calls:

3.0ms
eps
3.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
99.6%1eps
99.6%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.6%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -58.9b remaining (-12098%)

Threshold costs -58.9b (-12098%)

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

3 calls:

3.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
99.2%1eps
99.2%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.2%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Rules
78×unsub-neg
38×distribute-lft-neg-in
38×neg-mul-1
32×cancel-sign-sub-inv
26×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
13566
25266
36166
46666
58066
69766
710466
811566
913966
1015866
1116266
1217666
1319166
1420566
1521266
1623066
1723366
1824266
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 eps -2) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(*.f64 eps -2)
Compiler

Compiled 21 to 16 computations (23.8% saved)

soundness662.0ms (11.2%)

Rules
2082×fma-neg
1722×fma-define
1332×distribute-lft-in
732×associate-+r+
728×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017120
156100
2137100
3280100
4579100
51315100
62289100
72963100
83603100
94821100
105279100
115430100
125630100
135701100
147291100
157741100
167793100
Stop Event
node limit
Compiler

Compiled 42 to 28 computations (33.3% saved)

end0.0ms (0%)

preprocess49.0ms (0.8%)

Remove

(negabs eps)

Compiler

Compiled 126 to 92 computations (27% saved)

Profiling

Loading profile data...