Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	257×	body	80	valid
7.0ms	262×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite19.0ms

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:

18.0ms

(* x (log x))

series371.0ms

Counts

1 → 3

Calls

1 calls:

371.0ms

(* x (log x))

simplify1.3s

Counts

28 → 28

Iterations

Useful iterations: 3 (262.0ms)

Iter	Nodes	Cost
0	53	203
1	107	194
2	288	172
3	1607	163
done	5001	163

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)

rewrite87.0ms

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:

40.0ms	(* (* 2 (log (cbrt x))) x)
41.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.8s

Counts

4 → 12

Calls

4 calls:

474.0ms	(* (* 2 (log (cbrt x))) x)
453.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
569.0ms	(cbrt x)
271.0ms	(cbrt x)

simplify1.2s

Counts

64 → 64

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	89	644
1	262	568
2	1519	420
done	5001	382

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)
4.9b	(pow x 1/3)

rewrite76.0ms

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:

38.0ms	(* (* 2 (log (cbrt x))) x)
30.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow x 1/3)) x))
1.0ms	(cbrt x)
4.0ms	(pow x 1/3)

series1.7s

Counts

4 → 12

Calls

4 calls:

519.0ms	(* (* 2 (log (cbrt x))) x)
684.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow x 1/3)) x))
260.0ms	(cbrt x)
262.0ms	(pow x 1/3)

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	122	730
1	368	604
2	1821	506
done	5000	488

prune296.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (cbrt x))
0.4b	(* (* 3 x) (log (cbrt x)))
0.6b	(cbrt x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`log-pow`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`rem-log-exp` `associate-l` `*-commutative`

Counts

3 → 59

Calls

3 calls:

2.0ms	(log (cbrt x))
20.0ms	(* (* 3 x) (log (cbrt x)))
1.0ms	(cbrt x)

series1.2s

Counts

3 → 9

Calls

3 calls:

401.0ms	(log (cbrt x))
532.0ms	(* (* 3 x) (log (cbrt x)))
281.0ms	(cbrt x)

simplify1.3s

Counts

68 → 68

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	92	606
1	244	570
2	1372	436
done	5001	432

prune188.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes96.0ms

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

sample951.0ms

Algorithm

intervals

Results

302.0ms	8045×	body	80	valid
277.0ms	8125×	body	80	nan