Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	257×	body	80	valid
4.0ms	245×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite5.0ms

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:

4.0ms

(* x (log x))

series204.0ms

Counts

1 → 3

Calls

1 calls:

203.0ms

(* x (log x))

simplify182.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	93	115
1	346	99
2	1044	92
3	4253	92
4	5002	92

prune41.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt x))))
5.0ms	(* x (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

340.0ms	(* x (* 2 (log (cbrt x))))
318.0ms	(* x (log (cbrt x)))
173.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	288	642
1	1206	563
2	5001	541

prune181.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0b

Counts

113 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt x) (* (sqrt x) (log x)))
0.3b	(* (sqrt x) (log x))

rewrite18.0ms

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×	`*-commutative` `add-log-exp` `unswap-sqr`
1×	`log-pow`

Counts

2 → 62

Calls

2 calls:

10.0ms	(* (sqrt x) (* (sqrt x) (log x)))
5.0ms	(* (sqrt x) (log x))

series195.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(* (sqrt x) (* (sqrt x) (log x)))
56.0ms	(* (sqrt x) (log x))

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	304	447
1	1208	383
2	5002	353

prune99.0ms

Filtered

68 candidates to 39 candidates (57.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	68	6	74

Merged error: 0b

Counts

74 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (log (cbrt x)))
0.6b	(cbrt (log (cbrt x)))
0.6b	(cbrt (log (cbrt x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `pow1/3`
6×	`log-pow`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (log (cbrt x)))
1.0ms	(cbrt (log (cbrt x)))
2.0ms	(cbrt (log (cbrt x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt x)
417.0ms	(cbrt (log (cbrt x)))
369.0ms	(cbrt (log (cbrt x)))
372.0ms	(cbrt (log (cbrt x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	76	291
1	158	267
2	385	259
3	1368	259
4	5001	259

prune191.0ms

Filtered

62 candidates to 56 candidates (90.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	62	6	68

Merged error: 0b

Counts

68 → 6

regimes47.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample647.0ms

Algorithm

intervals

Results

277.0ms	8122×	body	80	nan
193.0ms	8035×	body	80	valid