Details

Time bar (total: 15.5s)

sample23.0ms

Algorithm
intervals
Results
7.0ms259×body80valid
5.0ms254×body80nan

simplify1.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
14111
done4111

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))

rewrite8.0ms

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×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
7.0ms
(* x (log x))

series261.0ms

Counts
1 → 3
Calls
1 calls:
261.0ms
(* x (log x))

simplify1.5s

Counts
30 → 30
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0555983
11095759
22935677
316765406
done50015366

prune132.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
15.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (cbrt x) (cbrt x))
287.0ms
(cbrt x)
203.0ms
(cbrt x)
223.0ms
(cbrt x)

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: done (1.9s)

IterNodesCost
06518502
114215989
272515714
done500115034

prune474.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
5.0b
(pow x 1/3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×*-un-lft-identity add-cube-cbrt
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow unpow-prod-down
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 88
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(pow x 1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
353.0ms
(* (cbrt x) (cbrt x))
316.0ms
(cbrt x)
286.0ms
(cbrt x)
277.0ms
(pow x 1/3)

simplify3.0s

Counts
100 → 100
Iterations

Useful iterations: done (3.0s)

IterNodesCost
09521995
126017119
2199017039
done500016249

prune510.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (pow x 2/3)) x)
0.3b
(+ (* (log (pow x 2/3)) x) (* (log (cbrt x)) x))
0.5b
(cbrt x)
6.0b
(pow x 2/3)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×cbrt-prod pow-unpow unpow-prod-down associate-*r*
1×pow-to-exp +-commutative sum-log pow-pow fma-def flip3-+ distribute-rgt-out pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr sqr-pow
Counts
4 → 68
Calls
4 calls:
7.0ms
(* (log (pow x 2/3)) x)
14.0ms
(+ (* (log (pow x 2/3)) x) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
5.0ms
(pow x 2/3)

series2.0s

Counts
4 → 12
Calls
4 calls:
520.0ms
(* (log (pow x 2/3)) x)
956.0ms
(+ (* (log (pow x 2/3)) x) (* (log (cbrt x)) x))
275.0ms
(cbrt x)
264.0ms
(pow x 2/3)

simplify1.7s

Counts
80 → 80
Iterations

Useful iterations: done (1.7s)

IterNodesCost
012830271
135018180
2169416430
done500115175

prune436.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
14111
done4111

end0.0ms

sample888.0ms

Algorithm
intervals
Results
320.0ms8041×body80valid
222.0ms7968×body80nan