logq (problem 3.4.3)

Time bar (total: 5.8s)

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)

sample2.8s (48.1%)

Results
1.7s4111×body1024valid
576.0ms2006×body512valid
259.0ms433×body2048valid
231.0ms1706×body256valid
Bogosity

preprocess430.0ms (7.4%)

Algorithm
egg-herbie
Rules
8778×fma-def
1122×unsub-neg
964×fma-neg
714×associate-+r+
628×distribute-rgt-in
Problems
256×(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017120
142100
279100
3167100
4425100
51057100
61939100
72661100
83655100
94852100
105303100
115457100
125635100
136103100
147000100
157068100
167100100
177120100
187212100
197351100
207471100
217471100
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 34 to 25 computations (26.5% 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))
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 32 to 24 computations (25% saved)

localize134.0ms (2.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.9%
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.7%
(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)))
0.0ms
eps
@inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms
eps
@-inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms
eps
@inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

rewrite162.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1534×prod-diff
715×log1p-expm1-u
713×expm1-log1p-u
658×fma-def
648×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
121767
2301867
Stop Event
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 (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.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 (+.f64 eps -1)) (log.f64 (/.f64 1 (+.f64 eps -1))))
(+.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 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) (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) (-.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))))
(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 (-.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 (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 (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 (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 (-.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)))
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(+.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 (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.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 (+.f64 eps -1)) (log.f64 (/.f64 1 (+.f64 eps -1))))
(+.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 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) (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) (-.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))
(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 (-.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 (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 (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 (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 (-.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))

simplify123.0ms (2.1%)

Algorithm
egg-herbie
Rules
806×associate-+l+
794×associate-+r+
642×associate-/r*
534×fma-neg
472×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05597851
114806619
234515241
Stop Event
node limit
Counts
350 → 325
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))
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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) (-.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))
(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 (-.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 (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 (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 (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 (-.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 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (+.f64 (log.f64 -1) (/.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 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (+.f64 (/.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 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (+.f64 (log.f64 -1) (/.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 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (+.f64 (/.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 (*.f64 eps 2) -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 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (pow.f64 eps 2))))
(+.f64 -1 (+.f64 (/.f64 -2 (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 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (pow.f64 eps 2)))))
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(+.f64 -1 (+.f64 (/.f64 -2 (pow.f64 eps 2)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
-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 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (pow.f64 eps 2))))
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(sqrt.f64 0)
(log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)))
0
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))
0
(log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
0
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (/.f64 (+.f64 1 eps) (+.f64 1 eps))))
0
(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))))))
0
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
0
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
0
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
0
(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 (-.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 (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 (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 (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 (-.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

eval201.0ms (3.5%)

Compiler

Compiled 7689 to 5277 computations (31.4% saved)

prune63.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3223325
Fresh000
Picked022
Done000
Total3225327
Accuracy
100.0%
Counts
327 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.9%
(*.f64 -2 eps)
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.2%
0
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.9%
(*.f64 -2 eps)
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.2%
0
Compiler

Compiled 64 to 50 computations (21.9% saved)

localize83.0ms (1.4%)

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))

rewrite45.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1014×associate-*r*
870×associate-*l*
466×unpow-prod-down
306×log-prod
282×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17416
273316
Stop Event
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 (pow.f64 (cbrt.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))))

simplify44.0ms (0.8%)

Algorithm
egg-herbie
Rules
1592×times-frac
1082×distribute-lft-out
858×fma-neg
824×distribute-rgt-out
560×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090868
1220613
2621596
33073594
Stop Event
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 (pow.f64 (cbrt.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 (fma.f64 -2/3 (pow.f64 eps 3) 1) (+.f64 2 (*.f64 (pow.f64 eps 6) 4/9))))
(/.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 (pow.f64 (cbrt.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))
(+.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))

eval13.0ms (0.2%)

Compiler

Compiled 581 to 488 computations (16% saved)

prune9.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New33134
Fresh011
Picked022
Done022
Total33639
Accuracy
100.0%
Counts
39 → 6
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 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.9%
(*.f64 -2 eps)
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.2%
0
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.4%
(+.f64 (*.f64 -2 eps) (-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.9%
(*.f64 -2 eps)
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.2%
0
Compiler

Compiled 92 to 74 computations (19.6% saved)

localize160.0ms (2.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 -2/3 (pow.f64 eps 3))
67.8%
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
Compiler

Compiled 47 to 39 computations (17% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
0.0ms
eps
@0
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
0.0ms
eps
@-inf
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)

rewrite60.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
908×unpow-prod-down
896×fma-def
868×prod-diff
566×log1p-expm1-u
566×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
114016
2186116
Stop Event
node limit
Counts
1 → 113
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
Outputs
(+.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) -1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) -1)
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) (log.f64 (exp.f64 -1)))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 -1 (fma.f64 -2/3 (pow.f64 eps 3) 1))
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1) 1)
(+.f64 (log.f64 (exp.f64 1)) (fma.f64 -2/3 (pow.f64 eps 3) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) (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 1 (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 eps (*.f64 (pow.f64 eps 2) -2/3))
(*.f64 eps (pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 1))
(*.f64 (pow.f64 eps 3) -2/3)
(*.f64 (pow.f64 eps 3) (log.f64 (exp.f64 -2/3)))
(*.f64 (pow.f64 eps 3) (pow.f64 (cbrt.f64 -2/3) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 -8/27 1/3))
(*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -2/3) 2))
(*.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 eps 2) (*.f64 eps -2/3))
(*.f64 (pow.f64 eps 2) (pow.f64 (*.f64 eps -2/3) 1))
(*.f64 (*.f64 eps (cbrt.f64 -2/3)) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2))
(*.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 eps (cbrt.f64 -2/3)))
(*.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(*.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)))
(*.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3))
(*.f64 (pow.f64 eps 3/2) (pow.f64 (*.f64 (pow.f64 eps 3/2) -2/3) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (/.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 2)) 1))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1))
(*.f64 (*.f64 -2/3 eps) (pow.f64 eps 2))
(*.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps)
(*.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) (pow.f64 eps 3/2))
(*.f64 (pow.f64 1 1/3) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 3) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 3) (pow.f64 (sqrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2)) 3) (pow.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) 1))
(*.f64 (pow.f64 (*.f64 -2/3 eps) 1) (pow.f64 eps 2))
(*.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 2)) 1) eps)
(*.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) 1) (pow.f64 eps 3/2))
(*.f64 (pow.f64 (cbrt.f64 -2/3) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 -2/3))) (cbrt.f64 (*.f64 eps (cbrt.f64 -2/3)))) 3) (pow.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(*.f64 (pow.f64 -8/27 1/3) (pow.f64 eps 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9/2) 1/3) (pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps 6) 4/9) -2/3) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps 6) 4/9) (pow.f64 eps 3)) 1/3) (pow.f64 -2/3 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps 6) 4/9) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2)) 1/3) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 5/2) 1/3) (pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 -2/3) 2) (pow.f64 eps 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2)) 2) (pow.f64 (sqrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2)) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 -2/3 (pow.f64 eps 3) 2) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (fma.f64 -2/3 (pow.f64 eps 3) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1)) (neg.f64 (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 1 (-.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1) 2) (fma.f64 -2/3 (pow.f64 eps 3) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1) 2)) (-.f64 1 (fma.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 (/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2)) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 -2/3 (pow.f64 eps 3) 2) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1)) -1)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.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))))
(hypot.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) (sqrt.f64 (fma.f64 (pow.f64 eps 6) 4/9 (*.f64 2/3 (pow.f64 eps 3)))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 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))))
(fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(fma.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 1) -1)
(fma.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) -1) 1)
(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 (fma.f64 -2/3 (pow.f64 eps 3) 1) 1 -1)
(fma.f64 (pow.f64 eps 2) (*.f64 eps -2/3) 0)
(fma.f64 (*.f64 eps (cbrt.f64 -2/3)) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) 0)
(fma.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 eps (cbrt.f64 -2/3)) 0)
(fma.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) -1)
(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 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) -1)
(fma.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3) 0)
(fma.f64 (fma.f64 (pow.f64 eps 9) -8/27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 eps 6) 4/9 (*.f64 2/3 (pow.f64 eps 3))))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))) 0)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 eps 6) 4/9)) (/.f64 1 (+.f64 1 (*.f64 2/3 (pow.f64 eps 3)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (/.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1))) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) 1)
(fma.f64 (fma.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3) 1) (fma.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3) -1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) 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)

simplify315.0ms (5.4%)

Algorithm
egg-herbie
Rules
1458×fma-def
1224×log-prod
818×unswap-sqr
714×cancel-sign-sub-inv
616×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02693639
16193522
218103464
371433422
Stop Event
node limit
Counts
125 → 144
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) -1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) -1)
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) (log.f64 (exp.f64 -1)))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 -1 (fma.f64 -2/3 (pow.f64 eps 3) 1))
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1) 1)
(+.f64 (log.f64 (exp.f64 1)) (fma.f64 -2/3 (pow.f64 eps 3) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) (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 1 (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 eps (*.f64 (pow.f64 eps 2) -2/3))
(*.f64 eps (pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 1))
(*.f64 (pow.f64 eps 3) -2/3)
(*.f64 (pow.f64 eps 3) (log.f64 (exp.f64 -2/3)))
(*.f64 (pow.f64 eps 3) (pow.f64 (cbrt.f64 -2/3) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 -8/27 1/3))
(*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -2/3) 2))
(*.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 eps 2) (*.f64 eps -2/3))
(*.f64 (pow.f64 eps 2) (pow.f64 (*.f64 eps -2/3) 1))
(*.f64 (*.f64 eps (cbrt.f64 -2/3)) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2))
(*.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 eps (cbrt.f64 -2/3)))
(*.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(*.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)))
(*.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3))
(*.f64 (pow.f64 eps 3/2) (pow.f64 (*.f64 (pow.f64 eps 3/2) -2/3) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (/.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 2)) 1))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1))
(*.f64 (*.f64 -2/3 eps) (pow.f64 eps 2))
(*.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps)
(*.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) (pow.f64 eps 3/2))
(*.f64 (pow.f64 1 1/3) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 3) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 3) (pow.f64 (sqrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2)) 3) (pow.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) 1))
(*.f64 (pow.f64 (*.f64 -2/3 eps) 1) (pow.f64 eps 2))
(*.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 2)) 1) eps)
(*.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) 1) (pow.f64 eps 3/2))
(*.f64 (pow.f64 (cbrt.f64 -2/3) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 -2/3))) (cbrt.f64 (*.f64 eps (cbrt.f64 -2/3)))) 3) (pow.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(*.f64 (pow.f64 -8/27 1/3) (pow.f64 eps 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9/2) 1/3) (pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps 6) 4/9) -2/3) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps 6) 4/9) (pow.f64 eps 3)) 1/3) (pow.f64 -2/3 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps 6) 4/9) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2)) 1/3) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 5/2) 1/3) (pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 -2/3) 2) (pow.f64 eps 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2)) 2) (pow.f64 (sqrt.f64 (*.f64 eps (cbrt.f64 -2/3))) 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2)) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 -2/3 (pow.f64 eps 3) 2) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (fma.f64 -2/3 (pow.f64 eps 3) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1)) (neg.f64 (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 1 (-.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1) 2) (fma.f64 -2/3 (pow.f64 eps 3) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1) 2)) (-.f64 1 (fma.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 (/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2)) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 -2/3 (pow.f64 eps 3) 2) (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1)) -1)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.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))))
(hypot.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) (sqrt.f64 (fma.f64 (pow.f64 eps 6) 4/9 (*.f64 2/3 (pow.f64 eps 3)))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 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))))
(fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(fma.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 1) -1)
(fma.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) -1) 1)
(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 (fma.f64 -2/3 (pow.f64 eps 3) 1) 1 -1)
(fma.f64 (pow.f64 eps 2) (*.f64 eps -2/3) 0)
(fma.f64 (*.f64 eps (cbrt.f64 -2/3)) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) 0)
(fma.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 eps (cbrt.f64 -2/3)) 0)
(fma.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) -1)
(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 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) -1)
(fma.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3) 0)
(fma.f64 (fma.f64 (pow.f64 eps 9) -8/27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 eps 6) 4/9 (*.f64 2/3 (pow.f64 eps 3))))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))) 0)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 eps 6) 4/9)) (/.f64 1 (+.f64 1 (*.f64 2/3 (pow.f64 eps 3)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (/.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1))) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) 1)
(fma.f64 (fma.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3) 1) (fma.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3) -1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) 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 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) -1)
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) (log.f64 (exp.f64 -1)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 -1 (fma.f64 -2/3 (pow.f64 eps 3) 1))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (log.f64 (exp.f64 1)) (fma.f64 -2/3 (pow.f64 eps 3) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) (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 (*.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 -2/3 (pow.f64 eps 3))
(*.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 eps (*.f64 (pow.f64 eps 2) -2/3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 eps (pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 1))
(*.f64 -2/3 (pow.f64 eps 3))
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(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 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 -8/27 (pow.f64 eps 9)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(*.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))
(fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 1) -1)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) -1) 1)
(*.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 (fma.f64 -2/3 (pow.f64 eps 3) 1) 1 -1)
(*.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 (*.f64 eps (cbrt.f64 -2/3)) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 eps (cbrt.f64 -2/3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) -1)
(fma.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) -1)
(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 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) -1)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) -1)
(*.f64 -2/3 (pow.f64 eps 3))
(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 (fma.f64 (pow.f64 eps 9) -8/27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 eps 6) 4/9 (*.f64 2/3 (pow.f64 eps 3))))) -1)
(fma.f64 (fma.f64 (pow.f64 eps 9) -8/27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 eps 6) 4/9 (*.f64 (pow.f64 eps 3) 2/3)))) -1)
(fma.f64 (fma.f64 -8/27 (pow.f64 eps 9) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 eps 6) 4/9 (*.f64 (pow.f64 eps 3) 2/3)))) -1)
(+.f64 -1 (/.f64 (fma.f64 -8/27 (pow.f64 eps 9) 1) (fma.f64 (pow.f64 eps 6) 4/9 (fma.f64 (pow.f64 eps 3) 2/3 1))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (fma.f64 -2/3 (pow.f64 eps 3) 2))) 0)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (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 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) (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 1 (*.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) (fma.f64 -2/3 (pow.f64 eps 3) 2))))
(fma.f64 (-.f64 1 (*.f64 (pow.f64 eps 6) 4/9)) (/.f64 1 (+.f64 1 (*.f64 2/3 (pow.f64 eps 3)))) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 eps 6) 4/9)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 eps 3) 2/3))) -1)
(fma.f64 (+.f64 1 (*.f64 (pow.f64 eps 6) -4/9)) (/.f64 1 (fma.f64 (pow.f64 eps 3) 2/3 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 eps 6) -4/9 1) (fma.f64 (pow.f64 eps 3) 2/3 1)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2) -1) (/.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 2)) 0)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) (/.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 2)) (fma.f64 -2/3 (pow.f64 eps 3) 2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1))) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) -1)) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(fma.f64 (fma.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3) 1) (fma.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3) -1) 1)
(fma.f64 (fma.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2) 1) (fma.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2) -1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1)) 1) 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))

eval81.0ms (1.4%)

Compiler

Compiled 3307 to 2806 computations (15.1% saved)

prune26.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1780178
Fresh011
Picked011
Done044
Total1786184
Accuracy
100.0%
Counts
184 → 6
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 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.9%
(*.f64 -2 eps)
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.2%
0
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.4%
(+.f64 (*.f64 -2 eps) (-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.9%
(*.f64 -2 eps)
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.2%
0
Compiler

Compiled 92 to 74 computations (19.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
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 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.9%
(*.f64 -2 eps)
8.6%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.2%
0
Compiler

Compiled 87 to 69 computations (20.7% saved)

regimes10.0ms (0.2%)

Counts
6 → 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 (*.f64 -2 eps) (-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

3 calls:

4.0ms
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 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 (*.f64 -2 eps) (-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
Outputs
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
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
99.7%1eps
99.7%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.7%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 54 to 42 computations (22.2% saved)

regimes8.0ms (0.1%)

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:

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
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 (0.1%)

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
5.2%1eps
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01867
12667
23167
33467
43567
Stop Event
fuel
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)

soundness962.0ms (16.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
017120
142100
279100
3167100
4425100
51057100
61939100
72661100
83655100
94852100
105303100
115457100
125635100
136103100
147000100
157068100
167100100
177120100
187212100
197351100
207471100
217471100
01575
121767
2301867
05597851
114806619
234515241
Stop Event
node limit
node limit
node limit
Compiler

Compiled 187 to 130 computations (30.5% saved)

end0.0ms (0%)

preprocess47.0ms (0.8%)

Remove

(negabs eps)

Compiler

Compiled 142 to 104 computations (26.8% saved)

Profiling

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