logq (problem 3.4.3)

Time bar (total: 4.4s)

analyze3.0ms (0.1%)

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)

sample2.7s (60.9%)

Results
1.8s4036×body1024valid
445.0ms2126×body512valid
238.0ms458×body2048valid
200.0ms1636×body256valid
0.0ms8×body256invalid
Bogosity

preprocess308.0ms (7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01450
13738
27038
314838
437738
598438
6186138
7253238
8352338
9476638
10532238
11548338
12565838
13610738
14700438
15707238
16710438
17712438
18721638
19735738
20747738
21747738
Stop Event
1×node limit
Calls
Call 1
Inputs
(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 (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 10 to 8 computations (20% saved)

simplify252.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
3044×fma-def
1338×distribute-lft-in
944×fma-neg
932×sub-neg
644×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
12019
23019
34419
47419
510619
616319
729619
860219
9105319
10146219
11203719
12286519
13406619
14490019
15499619
16502819
17502819
18653319
19716519
20724319
21725119
22725919
23725919
24745919
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
100.0%
Counts
3 → 2
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)

localize139.0ms (3.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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))

rewrite92.0ms (2.1%)

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))))
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(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))))

simplify483.0ms (10.9%)

Algorithm
1×egg-herbie
Rules
1274×times-frac
954×fma-neg
546×log-prod
526×fma-def
500×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064814518
1166611814
2558210954
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 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(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 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(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 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-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 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.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 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.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))))
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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 (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 (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 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(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 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
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(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) -1))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) 1) (neg.f64 (log1p.f64 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) 1)))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(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)))
(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)))

eval163.0ms (3.7%)

Compiler

Compiled 9277 to 6154 computations (33.7% saved)

prune42.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3602362
Fresh000
Picked202
Done000
Total3622364
Accurracy
100.0%
Counts
364 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
▶99.9%
(*.f64 -2 eps)
▶100.0%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
▶99.9%
(*.f64 -2 eps)
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize60.0ms (1.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 31 to 23 computations (25.8% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite49.0ms (1.1%)

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))))

simplify56.0ms (1.3%)

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))

eval4.0ms (0.1%)

Compiler

Compiled 159 to 131 computations (17.6% saved)

prune3.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New14014
Fresh000
Picked022
Done000
Total14216
Accurracy
100.0%
Counts
16 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
✓99.9%
(*.f64 -2 eps)
Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes14.0ms (0.3%)

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 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
Calls

3 calls:

9.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
100.0%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes7.0ms (0.2%)

Accuracy

Total -59.2b remaining (-92847.2%)

Threshold costs -59.2b (-92847.2%)

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

3 calls:

3.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
99.9%1eps
99.9%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.9%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
11332
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
Outputs
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
Compiler

Compiled 14 to 11 computations (21.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess42.0ms (1%)

Compiler

Compiled 76 to 60 computations (21.1% saved)

Profiling

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