Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
7.0ms	265×	body	80	nan

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	16	4
2	23	4
3	41	4
4	64	4
5	74	4
6	86	4
7	112	4
8	190	4
9	253	4
10	358	4
11	360	4
12	361	4
13	361	4

prune3.0ms

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: 14.7b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (log (/ x y)))
14.2b	(log (/ x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
27×	`add-sqr-sqrt` `times-frac`
25×	`add-cube-cbrt` `*-un-lft-identity`
13×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log`
6×	`pow1`
4×	`associate-r` `add-cbrt-cube`
3×	`associate-l` `div-inv`
2×	`rem-log-exp` `log-pow` `add-log-exp`
1×	`log-div` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 69

Calls

2 calls:

6.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series110.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* x (log (/ x y)))
51.0ms	(log (/ x y))

simplify86.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	218	476
1	812	433
2	2867	417
3	5002	414

prune191.0ms

Filtered

75 candidates to 47 candidates (62.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series849.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt y)
209.0ms	(cbrt y)
206.0ms	(cbrt x)
218.0ms	(cbrt x)

simplify77.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1277	136
4	5001	136

prune239.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	55	10	65

Merged error: 0.0b

Counts

65 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series860.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt x)
212.0ms	(cbrt x)
219.0ms	(cbrt x)
208.0ms	(cbrt x)

simplify156.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune267.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	56	10	66

Merged error: 0.0b

Counts

66 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series859.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt x)
216.0ms	(cbrt x)
209.0ms	(cbrt x)
219.0ms	(cbrt x)

simplify150.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune248.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	56	10	66

Merged error: 0.0b

Counts

66 → 10

regimes246.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	19
1	21	19

end0.0ms

sample827.0ms

Algorithm

intervals

Results

278.0ms	8042×	body	80	valid
212.0ms	7750×	body	80	nan

Iter	Nodes	Cost
0	13	4
1	16	4
2	23	4
3	41	4
4	64	4
5	74	4
6	86	4
7	112	4
8	190	4
9	253	4
10	358	4
11	360	4
12	361	4
13	361	4

Iter	Nodes	Cost
0	13	4
1	16	4
2	23	4
3	41	4
4	64	4
5	74	4
6	86	4
7	112	4
8	190	4
9	253	4
10	358	4
11	360	4
12	361	4
13	361	4

Iter	Nodes	Cost
0	13	4
1	16	4
2	23	4
3	41	4
4	64	4
5	74	4
6	86	4
7	112	4
8	190	4
9	253	4
10	358	4
11	360	4
12	361	4
13	361	4