Details

Time bar (total: 4.7s)

sample18.0ms

Algorithm
intervals
Results
6.0ms258×body80valid
4.0ms232×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log x))

series176.0ms

Counts
1 → 3
Calls
1 calls:
176.0ms
(* x (log x))

simplify189.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune39.0ms

Filtered
28 candidates to 16 candidates (57.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New20828
Fresh000
Picked011
Done000
Total20929

Merged error: 0.0b

Counts
29 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
10.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* x (log (cbrt x)))
338.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
183.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0342729
11457633
25001547

prune236.0ms

Filtered
114 candidates to 93 candidates (81.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh257
Picked011
Done011
Total1149123

Merged error: 0b

Counts
123 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series795.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
170.0ms
(cbrt x)
171.0ms
(cbrt x)
272.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify86.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 4 (82.0ms)

IterNodesCost
078180
1168162
2559152
32334152
45003149

prune182.0ms

Filtered
54 candidates to 48 candidates (88.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh066
Picked011
Done022
Total54963

Merged error: 0b

Counts
63 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
5.1b
(pow x 1/3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series944.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt (cbrt x))
183.0ms
(cbrt x)
304.0ms
(cbrt x)
172.0ms
(pow x 1/3)

simplify46.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0128193
1366170
21321161
35001156

prune188.0ms

Filtered
66 candidates to 52 candidates (78.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done033
Total66975

Merged error: 0b

Counts
75 → 9

regimes57.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
142

end0.0ms

sample537.0ms

Algorithm
intervals
Results
215.0ms8040×body80valid
139.0ms8119×body80nan