logq (problem 3.4.3)

Time bar (total: 8.2s)

analyze3.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample5.1s (62.1%)

Results
3.3s4210×body1024valid
903.0ms2040×body512valid
512.0ms403×body2048valid
325.0ms1603×body256valid
1.0ms8×body256invalid
Bogosity

preprocess627.0ms (7.7%)

Algorithm
1×egg-herbie
Rules
8722×fma-def
1220×unsub-neg
1030×fma-neg
668×associate-+r+
656×distribute-rgt-in
Problems
255×(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01473
13757
27057
314857
437757
598457
6186157
7253257
8352357
9476657
10532257
11548357
12565857
13610757
14700457
15707257
16710457
17712457
18721657
19735757
20747757
21747757
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))))
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)))
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))
▶7.3%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶7.3%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 32 to 24 computations (25% saved)

localize188.0ms (2.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓7.4%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 39 to 22 computations (43.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
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 (-.f64 1 eps) (+.f64 1 eps))
0.0ms
eps
@0
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

rewrite189.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
924×log-prod
624×prod-diff
546×prod-exp
528×pow-prod-down
434×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
119038
2260138
Stop Event
1×node limit
Counts
2 → 214
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Outputs
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(+.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (/.f64 1 (fma.f64 -1 eps -1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (neg.f64 eps)))) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)) (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 eps) -1/2)) (log.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 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 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 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)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps)))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (-.f64 (*.f64 eps eps) eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(-.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps)))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (fma.f64 -1 eps -1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (log.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (neg.f64 eps)))) (log.f64 (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 eps eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 1/2 (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 (+.f64 1 eps) (fma.f64 eps eps eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) 1)) (log.f64 (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 eps))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) 1)) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 1 eps)))) (log.f64 (neg.f64 (fma.f64 -1 eps -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 eps) -2) (+.f64 (pow.f64 (/.f64 eps (+.f64 1 eps)) 2) (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -2) (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))) (log.f64 (+.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps)))) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) 1)) (log1p.f64 eps))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 1/3 (log1p.f64 eps)))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 -1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 1 eps)))) (sqrt.f64 (/.f64 eps (+.f64 1 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps)))) (/.f64 (sqrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 0 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 eps (+.f64 1 eps)) 1))) (fma.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) 1 (*.f64 (/.f64 eps (+.f64 1 eps)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) eps))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 eps))) eps (*.f64 (/.f64 1 (+.f64 1 eps)) eps)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2) (*.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)))) (fma.f64 (neg.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (*.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2)))) (fma.f64 (neg.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps)))) (pow.f64 (+.f64 1 eps) -1/2) (*.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (*.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))
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(fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 eps))))

simplify155.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1278×times-frac
958×fma-neg
546×log-prod
514×fma-def
500×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064714526
1166011822
2559010962
Stop Event
1×node limit
Counts
238 → 362
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 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(+.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (/.f64 1 (fma.f64 -1 eps -1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (neg.f64 eps)))) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)) (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 eps) -1/2)) (log.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 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 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 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)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps)))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (-.f64 (*.f64 eps eps) eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(-.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps)))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (fma.f64 -1 eps -1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (log.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (neg.f64 eps)))) (log.f64 (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 eps eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 1/2 (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 (+.f64 1 eps) (fma.f64 eps eps eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) 1)) (log.f64 (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 eps))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) 1)) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 1 eps)))) (log.f64 (neg.f64 (fma.f64 -1 eps -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 eps) -2) (+.f64 (pow.f64 (/.f64 eps (+.f64 1 eps)) 2) (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -2) (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))) (log.f64 (+.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps)))) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) 1)) (log1p.f64 eps))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 1/3 (log1p.f64 eps)))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 -1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 1 eps)))) (sqrt.f64 (/.f64 eps (+.f64 1 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps)))) (/.f64 (sqrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 0 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 eps (+.f64 1 eps)) 1))) (fma.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) 1 (*.f64 (/.f64 eps (+.f64 1 eps)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) eps))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 eps))) eps (*.f64 (/.f64 1 (+.f64 1 eps)) eps)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2) (*.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)))) (fma.f64 (neg.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (*.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2)))) (fma.f64 (neg.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps)))) (pow.f64 (+.f64 1 eps) -1/2) (*.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (*.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (*.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
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(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (*.f64 (-.f64 1 eps) (/.f64 eps (-.f64 1 (*.f64 eps eps)))))) (fma.f64 (neg.f64 (-.f64 1 eps)) (/.f64 eps (-.f64 1 (*.f64 eps eps))) (*.f64 (-.f64 1 eps) (/.f64 eps (-.f64 1 (*.f64 eps eps))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 eps (+.f64 1 eps)) 1))) (fma.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) 1 (*.f64 (/.f64 eps (+.f64 1 eps)) 1)))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) eps))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 eps))) eps (*.f64 (/.f64 1 (+.f64 1 eps)) eps)))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2) (*.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)))) (fma.f64 (neg.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (*.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2)))) (fma.f64 (neg.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps)))) (pow.f64 (+.f64 1 eps) -1/2) (*.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (*.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (*.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps))) (*.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps)) (/.f64 (sqrt.f64 eps) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) 1) (*.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps)) (/.f64 (sqrt.f64 eps) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (/.f64 eps (+.f64 1 (pow.f64 eps 3)))))) (fma.f64 (neg.f64 (fma.f64 eps (-.f64 eps 1) 1)) (/.f64 eps (+.f64 1 (pow.f64 eps 3))) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (/.f64 eps (+.f64 1 (pow.f64 eps 3))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (*.f64 (-.f64 1 eps) (/.f64 eps (-.f64 1 (*.f64 eps eps)))))) (fma.f64 (neg.f64 (-.f64 1 eps)) (/.f64 eps (-.f64 1 (*.f64 eps eps))) (*.f64 (-.f64 1 eps) (/.f64 eps (-.f64 1 (*.f64 eps eps))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1)
(*.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2)) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (sqrt.f64 (-.f64 1 eps)) (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))
(*.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (fma.f64 -1 eps -1)))
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))
(*.f64 (pow.f64 (+.f64 1 eps) -1/2) (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(*.f64 (pow.f64 (E.f64) (log1p.f64 (neg.f64 eps))) (pow.f64 (E.f64) (neg.f64 (log1p.f64 eps))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (pow.f64 (E.f64) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)
(pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) 1) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(neg.f64 (/.f64 (-.f64 1 eps) (fma.f64 -1 eps -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) -1))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) 1) (neg.f64 (log1p.f64 eps))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 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))
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(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 (pow.f64 eps 3) 1)) (fma.f64 eps (+.f64 eps -1) 1) (/.f64 (neg.f64 eps) (+.f64 eps 1)))
(-.f64 (*.f64 (fma.f64 eps (+.f64 eps -1) 1) (/.f64 1 (+.f64 (pow.f64 eps 3) 1))) (/.f64 eps (+.f64 eps 1)))
(fma.f64 (fma.f64 eps (+.f64 eps -1) 1) (/.f64 1 (+.f64 (pow.f64 eps 3) 1)) (/.f64 eps (fma.f64 -1 eps -1)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (/.f64 (neg.f64 eps) (+.f64 eps 1)))
(-.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (/.f64 eps (+.f64 eps 1)))

eval412.0ms (5%)

Compiler

Compiled 9265 to 6147 computations (33.7% saved)

prune62.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3602362
Fresh000
Picked112
Done000
Total3613364
Accuracy
100.0%
Counts
364 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
▶99.6%
(*.f64 -2 eps)
✓7.3%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
▶99.6%
(*.f64 -2 eps)
✓7.3%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 46 to 36 computations (21.7% saved)

localize69.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiled 31 to 23 computations (25.8% saved)

series4.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@inf
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@-inf
(*.f64 -2/3 (pow.f64 eps 3))

rewrite122.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1204×pow1
1126×add-exp-log
1126×log1p-expm1-u
1126×expm1-log1p-u
1102×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2157213
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
Outputs
(-.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 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))

simplify165.0ms (2%)

Algorithm
1×egg-herbie
Rules
2268×log-prod
918×exp-sum
820×distribute-rgt-in
818×distribute-lft-in
650×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039275
198209
2313143
31886143
46007143
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.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 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(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 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.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 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.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 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.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 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.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 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.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 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))

eval13.0ms (0.2%)

Compiler

Compiled 159 to 131 computations (17.6% saved)

prune11.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh000
Picked022
Done011
Total14317
Accuracy
100.0%
Counts
17 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
✓99.6%
(*.f64 -2 eps)
✓7.3%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 50 to 38 computations (24% saved)

regimes55.0ms (0.7%)

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

3 calls:

31.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
11.0ms
eps
8.0ms
(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 46 to 34 computations (26.1% saved)

regimes32.0ms (0.4%)

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

3 calls:

13.0ms
eps
8.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
8.0ms
(/.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 40 to 30 computations (25% saved)

regimes23.0ms (0.3%)

Accuracy

Total -59.3b remaining (-22985.6%)

Threshold costs -59.3b (-22985.6%)

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

3 calls:

8.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
8.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.0ms
eps
Results
AccuracySegmentsBranch
99.6%1eps
99.6%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.6%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify8.0ms (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
01551
12451
22951
33251
43351
Stop Event
1×done
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)
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 eps -2) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(*.f64 eps -2)
Compiler

Compiled 21 to 16 computations (23.8% saved)

soundness799.0ms (9.8%)

Rules
8722×fma-def
1220×unsub-neg
1030×fma-neg
668×associate-+r+
656×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01473
13757
27057
314857
437757
598457
6186157
7253257
8352357
9476657
10532257
11548357
12565857
13610757
14700457
15707257
16710457
17712457
18721657
19735757
20747757
21747757
Stop Event
1×node limit
Compiler

Compiled 42 to 29 computations (31% saved)

end0.0ms (0%)

preprocess163.0ms (2%)

Compiler

Compiled 88 to 68 computations (22.7% saved)

Profiling

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