Details

sample81.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
14.0ms	283×	body	80	nan

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	83	8
5	188	8
6	417	8
7	1183	8
8	3990	8
done	5000	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

19.0ms	(- (* x (log y)) z)
21.0ms	(* x (log y))

series214.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(- (* x (log y)) z)
101.0ms	(* x (log y))

simplify1.9s

Counts

49 → 49

Iterations

Useful iterations: 3 (592.0ms)

Iter	Nodes	Cost
0	90	402
1	186	381
2	459	351
3	1943	334
done	5001	334

prune314.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

20.0ms	(* x (log (cbrt y)))
54.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

167.0ms	(* x (log (cbrt y)))
254.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
363.0ms	(cbrt y)
822.0ms	(cbrt y)

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	909
1	305	849
2	1321	721
done	5000	711

prune638.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))

series1.5s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt y)
329.0ms	(cbrt y)
397.0ms	(cbrt (cbrt y))
416.0ms	(cbrt (cbrt y))

simplify2.4s

Counts

62 → 62

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	42	346
1	78	328
2	189	300
3	649	288
4	2550	288
done	5000	288

prune613.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))

series1.5s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt y)
338.0ms	(cbrt y)
426.0ms	(cbrt (cbrt y))
426.0ms	(cbrt (cbrt y))

simplify2.2s

Counts

62 → 62

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	42	346
1	78	328
2	189	300
3	649	288
4	2550	288
done	5000	288

prune482.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes278.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.8s

Algorithm

intervals

Results

508.0ms	8036×	body	80	valid
396.0ms	7984×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid