logq (problem 3.4.3)

Time bar (total: 7.0s)

analyze0.0ms (0%)

Algorithm
1×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)

sample3.2s (45.8%)

Results
2.3s4101×body1024valid
540.0ms2087×body512valid
243.0ms1823×body256valid
149.0ms245×body2048valid
Bogosity

preprocess743.0ms (10.6%)

Algorithm
1×egg-herbie
Rules
8778×fma-def
1122×unsub-neg
972×fma-neg
722×associate-+r+
626×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
00-0-(-.f64 1 eps)
00-0-(+.f64 1 eps)
00-0-(/.f64 (-.f64 1 eps) (+.f64 1 eps))
00-0-1
00-0-eps
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017120
145100
282100
3170100
4428100
51058100
61927100
72649100
83642100
94844100
105295100
115449100
125626100
136100100
146998100
157066100
167098100
177118100
187210100
197353100
207473100
217473100
Stop Event
1×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)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 32 to 24 computations (25% saved)

localize234.0ms (3.3%)

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))
✓8.8%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 39 to 22 computations (43.6% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@0
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms
eps
@inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms
eps
@inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
0.0ms
eps
@-inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite299.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
1534×prod-diff
714×log1p-expm1-u
712×expm1-log1p-u
658×fma-def
648×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
122067
2302167
Stop Event
1×node limit
Counts
3 → 314
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) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 (+.f64 1 eps) (+.f64 1 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 (log.f64 (pow.f64 (+.f64 1 eps) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 eps))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (+.f64 eps -1)) (log.f64 (/.f64 1 (+.f64 eps -1))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (/.f64 (+.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 2)))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 eps))) (neg.f64 (log1p.f64 eps)))
(-.f64 (log1p.f64 eps) (log1p.f64 eps))
(-.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 (-.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) (fma.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)) (neg.f64 (*.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))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(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 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(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 (-.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 (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 (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) (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) (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))) (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)) (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))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 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)))
(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))) (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))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
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(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (+.f64 1 eps) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 2))) (+.f64 1 eps) (neg.f64 (/.f64 eps (+.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) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 (+.f64 1 eps) (+.f64 1 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 (log.f64 (pow.f64 (+.f64 1 eps) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 eps))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (+.f64 eps -1)) (log.f64 (/.f64 1 (+.f64 eps -1))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (/.f64 (+.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 2)))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 eps))) (neg.f64 (log1p.f64 eps)))
(*.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 (-.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) (fma.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)) (neg.f64 (*.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))
(log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))
(log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (/.f64 (+.f64 1 eps) (+.f64 1 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(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 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(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 (-.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 (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 (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) (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) (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))) (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)) (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))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 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)))
(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))) (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))) (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))) (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))

simplify578.0ms (8.2%)

Algorithm
1×egg-herbie
Rules
806×associate-+l+
780×associate-+r+
664×associate-/r*
516×fma-neg
478×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05607851
114846619
234695241
Stop Event
1×node limit
Counts
350 → 321
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)))
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(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 2)))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 eps))) (neg.f64 (log1p.f64 eps)))
(*.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 (-.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) (fma.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)) (neg.f64 (*.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))
(log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))
(log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (/.f64 (+.f64 1 eps) (+.f64 1 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(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 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(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 (-.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 (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 (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) (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) (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))) (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)) (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))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 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)))
(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))) (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))) (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))) (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)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.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))))
(fma.f64 -2 eps (fma.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)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.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 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 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 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3)))) (/.f64 2/5 (pow.f64 eps 5)))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 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 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3)))) (/.f64 2/5 (pow.f64 eps 5)))
1
(+.f64 1 (*.f64 -2 eps))
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 1 (+.f64 (*.f64 -2 eps) (*.f64 2 (pow.f64 eps 2))))
(+.f64 1 (fma.f64 -2 eps (*.f64 2 (pow.f64 eps 2))))
(+.f64 1 (*.f64 eps (+.f64 -2 (*.f64 eps 2))))
(+.f64 1 (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 2 (pow.f64 eps 2)))))
(+.f64 1 (fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (*.f64 2 (pow.f64 eps 2)))))
(+.f64 (fma.f64 -2 eps 1) (*.f64 (pow.f64 eps 2) (+.f64 2 (*.f64 -2 eps))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (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 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (pow.f64 eps 2)))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) -1) (-.f64 (/.f64 2 (pow.f64 eps 2)) (/.f64 2 eps)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (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 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (pow.f64 eps 2)))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) -1) (-.f64 (/.f64 2 (pow.f64 eps 2)) (/.f64 2 eps)))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
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(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
0
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
0
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
0
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
0
(fma.f64 1 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
0
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.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)))
0
(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)))
0
(fma.f64 1 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
0
(fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps)))
0
(fma.f64 (log1p.f64 eps) 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1))
0
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
0
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
0
(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)))
0
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps)))
0
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (cbrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
0
(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)))
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)))
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 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (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))) (-.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)))
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 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
0
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
0
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
0
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.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))) (-.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)))
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 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
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))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
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)))
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 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
0
(fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))
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))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
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)))
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 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
0
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
0
(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))
0
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) (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))) (-.f64 (log1p.f64 eps) (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)))
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 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
0
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
0

eval282.0ms (4%)

Compiler

Compiled 7633 to 5240 computations (31.4% saved)

prune107.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3183321
Fresh000
Picked022
Done000
Total3185323
Accuracy
100.0%
Counts
323 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶99.4%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
▶98.9%
(*.f64 -2 eps)
✓8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.4%
0
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶99.4%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
▶98.9%
(*.f64 -2 eps)
✓8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.4%
0
Compiler

Compiled 64 to 50 computations (21.9% saved)

localize52.0ms (0.7%)

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)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@-inf
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@0
(*.f64 -2/3 (pow.f64 eps 3))
0.0ms
eps
@inf
(*.f64 -2/3 (pow.f64 eps 3))

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1000×associate-*r*
856×associate-*l*
474×unpow-prod-down
306×log-prod
282×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17416
273616
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
Outputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 0 (*.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 (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 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(/.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 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))))
(/.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))))
(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))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))

simplify61.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1624×times-frac
1092×distribute-lft-out
874×fma-neg
832×distribute-rgt-out
562×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091839
1224572
2629555
33080553
Stop Event
1×node limit
Counts
25 → 34
Calls
Call 1
Inputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 0 (*.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 (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 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(/.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 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))))
(/.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))))
(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))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
Outputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 1 (+.f64 (*.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 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 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(/.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 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 3) -1) (fma.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 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3)) (fma.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) (fma.f64 -2/3 (pow.f64 eps 3) 1) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) (fma.f64 -2/3 (pow.f64 eps 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3)) (+.f64 2 (fma.f64 (pow.f64 eps 3) (+.f64 -2/3 (*.f64 (pow.f64 eps 3) 4/9)) 1)))
(/.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 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(+.f64 1 (+.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 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(cbrt.f64 (*.f64 -8/27 (pow.f64 eps 9)))
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.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 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(fabs.f64 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(cbrt.f64 (*.f64 -8/27 (pow.f64 eps 9)))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.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))
(cbrt.f64 (*.f64 -8/27 (pow.f64 eps 9)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))

eval15.0ms (0.2%)

Compiler

Compiled 581 to 488 computations (16% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New34034
Fresh011
Picked022
Done022
Total34539
Accuracy
100.0%
Counts
39 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓99.4%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
✓98.9%
(*.f64 -2 eps)
✓8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.4%
0
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓99.4%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
✓98.9%
(*.f64 -2 eps)
✓8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.4%
0
Compiler

Compiled 64 to 50 computations (21.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓99.4%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
✓98.9%
(*.f64 -2 eps)
✓8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.4%
0
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓99.4%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
✓98.9%
(*.f64 -2 eps)
✓8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.4%
0
Compiler

Compiled 64 to 50 computations (21.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓99.4%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
✓98.9%
(*.f64 -2 eps)
✓8.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.4%
0
Compiler

Compiled 60 to 46 computations (23.3% saved)

regimes11.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
0
(*.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:

5.0ms
eps
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
2.0ms
(log.f64 (/.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 47 to 35 computations (25.5% saved)

regimes9.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
0
(*.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
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
99.4%1eps
99.4%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.4%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes12.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(*.f64 -2 eps)
Calls

3 calls:

7.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
98.9%1eps
98.9%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
98.9%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 32 to 24 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

3.0ms
eps
Results
AccuracySegmentsBranch
5.4%1eps
Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
8×*-commutative
6×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01867
12667
23167
33467
43567
Stop Event
1×fuel
1×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)
0
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)
0
Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness1.1s (16.2%)

Rules
8778×fma-def
1534×prod-diff
1122×unsub-neg
972×fma-neg
806×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017120
145100
282100
3170100
4428100
51058100
61927100
72649100
83642100
94844100
105295100
115449100
125626100
136100100
146998100
157066100
167098100
177118100
187210100
197353100
207473100
217473100
01575
122067
2302167
05607851
114846619
234695241
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 212 to 150 computations (29.2% saved)

end0.0ms (0%)

preprocess166.0ms (2.4%)

Remove

(negabs eps)

Compiler

Compiled 142 to 104 computations (26.8% saved)

Profiling

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