Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
5.0ms	245×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4
1	4	4
done	4	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite11.0ms

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:

11.0ms

(* x (log x))

series281.0ms

Counts

1 → 3

Calls

1 calls:

281.0ms

(* x (log x))

simplify1.4s

Counts

28 → 28

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	53	203
1	93	194
2	180	170
3	284	163
4	1030	163
done	5000	163

prune43.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 52

Calls

4 calls:

20.0ms	(* (* 2 (log (cbrt x))) x)
25.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.5s

Counts

4 → 12

Calls

4 calls:

520.0ms	(* (* 2 (log (cbrt x))) x)
485.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
267.0ms	(cbrt x)
231.0ms	(cbrt x)

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	89	644
1	244	518
2	956	419
done	5000	370

prune225.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt x))) x)
0.3b	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow x 1/3)) x))
0.6b	(cbrt x)
5.1b	(pow x 1/3)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `distribute-rgt-out` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `flip-+` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

31.0ms	(* (* 2 (log (cbrt x))) x)
40.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow x 1/3)) x))
1.0ms	(cbrt x)
4.0ms	(pow x 1/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

472.0ms	(* (* 2 (log (cbrt x))) x)
988.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow x 1/3)) x))
283.0ms	(cbrt x)
269.0ms	(pow x 1/3)

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	122	730
1	316	600
2	1137	468
done	5000	425

prune244.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt x)) x)
0.3b	(+ (* (* 2 (log (pow x 1/3))) x) (* (log (cbrt x)) x))
0.6b	(cbrt x)
5.1b	(pow x 1/3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `distribute-rgt-out` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

9.0ms	(* (log (cbrt x)) x)
23.0ms	(+ (* (* 2 (log (pow x 1/3))) x) (* (log (cbrt x)) x))
1.0ms	(cbrt x)
5.0ms	(pow x 1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

511.0ms	(* (log (cbrt x)) x)
559.0ms	(+ (* (* 2 (log (pow x 1/3))) x) (* (log (cbrt x)) x))
201.0ms	(cbrt x)
244.0ms	(pow x 1/3)

simplify1.3s

Counts

73 → 73

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	114	681
1	274	563
2	919	453
done	5000	405

prune202.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes87.0ms

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)

Iter	Nodes	Cost
0	3	4
1	4	4
done	4	4

end0.0ms

sample765.0ms

Algorithm

intervals

Results

252.0ms	8043×	body	80	valid
229.0ms	7908×	body	80	nan