Details

Time bar (total: 2.4s)

sample68.0ms

Algorithm
intervals
Results
39.0ms81×body1280valid
12.0ms50×body640valid
3.0ms29×body320valid
2.0ms90×body80valid
2.0ms82×body80nan
0.0msbody160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.9b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.0b
(log (+ 1.0 x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
log-prod *-un-lft-identity
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

simplify39.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
012897
135487
2128081
3500178

prune33.0ms

Filtered
18 candidates to 13 candidates (27.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
div-exp
pow-to-exp pow-exp add-cbrt-cube
pow1 associate-*l*
cbrt-unprod
cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify55.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0531638
12305526
25001525

prune164.0ms

Filtered
113 candidates to 68 candidates (39.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done011
Total1132115

Merged error: 0.0b

Counts
115 → 2

regimes84.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s2264×body1280valid
372.0ms1635×body640valid
107.0ms879×body320valid
74.0ms2788×body80valid
49.0ms2640×body80nan
31.0ms434×body160valid

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