Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
8.0ms	309×	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))

rewrite18.0ms

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×	`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:

16.0ms

(* x (log x))

series306.0ms

Counts

1 → 3

Calls

1 calls:

306.0ms

(* x (log x))

simplify2.4s

Counts

30 → 30

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	55	213
1	95	204
2	183	180
3	283	173
4	1038	173
done	5001	173

prune54.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 68

Calls

4 calls:

13.0ms	(* (log (cbrt x)) x)
41.0ms	(* (* 2 (log (cbrt x))) x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

510.0ms	(* (log (cbrt x)) x)
538.0ms	(* (* 2 (log (cbrt x))) x)
237.0ms	(cbrt x)
276.0ms	(cbrt x)

simplify4.0s

Counts

80 → 80

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	89	565
1	197	535
2	728	437
3	3121	431
done	5001	431

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

9.0ms	(* (log (pow x 1/3)) x)
21.0ms	(* (* 2 (log (cbrt x))) x)
1.0ms	(cbrt x)
3.0ms	(pow x 1/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

514.0ms	(* (log (pow x 1/3)) x)
532.0ms	(* (* 2 (log (cbrt x))) x)
263.0ms	(cbrt x)
259.0ms	(pow x 1/3)

simplify5.6s

Counts

86 → 86

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	123	640
1	265	549
2	893	457
3	4188	439
done	5001	437

prune301.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (sqrt x) (log x))
0.4b	(* (sqrt x) (* (sqrt x) (log x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
17×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
5×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`log-pow`

Counts

2 → 66

Calls

2 calls:

12.0ms	(* (sqrt x) (log x))
39.0ms	(* (sqrt x) (* (sqrt x) (log x)))

series330.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(* (sqrt x) (log x))
215.0ms	(* (sqrt x) (* (sqrt x) (log x)))

simplify4.4s

Counts

72 → 72

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	140	909
1	315	680
2	914	601
3	2611	575
done	5000	571

prune119.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	15	14
done	15	14

end0.0ms

sample902.0ms

Algorithm

intervals

Results

279.0ms	8039×	body	80	valid
238.0ms	8142×	body	80	nan