Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
7.0ms	252×	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

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite13.0ms

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:

12.0ms

(* x (log x))

series292.0ms

Counts

1 → 3

Calls

1 calls:

292.0ms

(* x (log x))

simplify2.1s

Counts

30 → 30

Iterations

Useful iterations: 3 (126.0ms)

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

prune75.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 61

Calls

4 calls:

43.0ms	(* (* 2 (log (cbrt x))) x)
44.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.8s

Counts

4 → 12

Calls

4 calls:

567.0ms	(* (* 2 (log (cbrt x))) x)
609.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
321.0ms	(cbrt x)
305.0ms	(cbrt x)

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	95	700
1	256	562
2	1023	458
done	5000	406

prune228.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
0.2b	(* (log (cbrt x)) x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
9.0ms	(* (log (cbrt x)) x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.7s

Counts

4 → 12

Calls

4 calls:

819.0ms	(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
397.0ms	(* (log (cbrt x)) x)
252.0ms	(cbrt x)
276.0ms	(cbrt x)

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	76	522
1	142	503
2	421	394
3	1603	350
done	5000	346

prune188.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

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))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt x)
402.0ms	(cbrt (cbrt x))
434.0ms	(cbrt (cbrt x))
289.0ms	(cbrt (cbrt x))

simplify4.2s

Counts

73 → 73

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	46	419
1	79	400
2	151	370
3	319	358
4	972	358
5	4693	358
done	5000	346

prune334.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	14	21
done	14	21

end0.0ms

sample881.0ms

Algorithm

intervals

Results

323.0ms	8027×	body	80	valid
179.0ms	8178×	body	80	nan