Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	257×	body	80	valid
4.0ms	217×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

prune1.0ms

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

localize3.0ms

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))

series168.0ms

Counts

1 → 3

Calls

1 calls:

168.0ms

(* 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

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Merged error: 0.0b

Counts

29 → 7

localize8.0ms

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:

339.0ms	(* x (* 2 (log (cbrt x))))
331.0ms	(* x (log (cbrt x)))
172.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

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

prune198.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

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

series898.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
173.0ms	(cbrt x)
306.0ms	(cbrt x)
235.0ms	(cbrt (cbrt x))

simplify64.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	71	191
1	141	177
2	357	169
3	1377	169
4	5001	169

prune198.0ms

Filtered

59 candidates to 52 candidates (88.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt x)))
0.3b	(* x (* 2 (log (pow x 1/3))))
0.6b	(cbrt x)
5.0b	(pow x 1/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
13×	`pow1`
12×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-prod`
6×	`associate-r` `associate-l`
5×	`sqr-pow`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `log-pow` `*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
7.0ms	(* x (* 2 (log (pow x 1/3))))
1.0ms	(cbrt x)
2.0ms	(pow x 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

327.0ms	(* x (log (cbrt x)))
330.0ms	(* x (* 2 (log (pow x 1/3))))
177.0ms	(cbrt x)
169.0ms	(pow x 1/3)

simplify60.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	401	675
1	1731	525
2	5001	485

prune172.0ms

Filtered

119 candidates to 66 candidates (55.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

regimes49.0ms

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

sample500.0ms

Algorithm

intervals

Results

197.0ms	8036×	body	80	valid
132.0ms	8154×	body	80	nan