Details

Time bar (total: 11.5s)

sample19.0ms

Algorithm
intervals
Results
6.0ms259×body80valid
4.0ms254×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×*-un-lft-identity add-cube-cbrt
4×pow1 associate-*r*
3×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
7.0ms
(* x (log x))

series271.0ms

Counts
1 → 3
Calls
1 calls:
271.0ms
(* x (log x))

simplify785.0ms

Counts
28 → 28
Iterations
IterNodes
done5000
31585
2290
1107
053

prune110.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (cbrt x))))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
60×log-prod
54×distribute-rgt-in distribute-lft-in
36×cbrt-prod
27×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×associate-+l+
12×associate-+r+
9×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ distribute-lft-out
Counts
4 → 112
Calls
4 calls:
29.0ms
(* x (* 2 (log (cbrt x))))
33.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
445.0ms
(* x (* 2 (log (cbrt x))))
385.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
187.0ms
(cbrt x)
221.0ms
(cbrt x)

simplify707.0ms

Counts
124 → 124
Iterations
IterNodes
done5001
21766
1439
0181

prune475.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt x)
371.0ms
(cbrt (cbrt x))
333.0ms
(cbrt (cbrt x))
311.0ms
(cbrt (cbrt x))

simplify893.0ms

Counts
65 → 65
Iterations
IterNodes
done5000
42270
3644
2187
177
042

prune443.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (pow x 1/3))))
0.3b
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
0.5b
(cbrt x)
5.0b
(pow x 1/3)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
68×log-prod
62×distribute-rgt-in distribute-lft-in
28×add-sqr-sqrt associate-+l+ *-un-lft-identity add-cube-cbrt
27×unpow-prod-down
12×associate-+r+
10×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube sqr-pow
6×add-log-exp
3×pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
1×pow-to-exp +-commutative sum-log pow-pow flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp *-commutative flip-+ distribute-lft-out
Counts
4 → 127
Calls
4 calls:
18.0ms
(* x (* 2 (log (pow x 1/3))))
42.0ms
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
8.0ms
(cbrt x)
4.0ms
(pow x 1/3)

series1.5s

Counts
4 → 12
Calls
4 calls:
468.0ms
(* x (* 2 (log (pow x 1/3))))
551.0ms
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
222.0ms
(cbrt x)
281.0ms
(pow x 1/3)

simplify2.0s

Counts
139 → 139
Iterations
IterNodes
done5004
22892
1684
0240

prune558.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
14
03

end0.0ms

sample811.0ms

Algorithm
intervals
Results
289.0ms8041×body80valid
203.0ms7968×body80nan