Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	valid
6.0ms	265×	body	80	nan

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

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: 14.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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×	`expm1-log1p-u` `rem-log-exp` `log-pow` `log1p-expm1-u` `add-log-exp`
1×	`log-div` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 73

Calls

2 calls:

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* x (log (/ x y)))
35.0ms	(log (/ x y))

simplify72.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	222	490
1	816	447
2	2930	431
3	5002	428

prune154.0ms

Filtered

79 candidates to 51 candidates (64.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	9	80

Merged error: 0.0b

Counts

80 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series699.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
180.0ms	(cbrt y)
173.0ms	(cbrt x)
169.0ms	(cbrt x)

simplify54.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	73	172
1	149	160
2	350	152
3	1283	152
4	5001	152

prune236.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	63	10	73

Merged error: 0.0b

Counts

73 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series707.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
172.0ms	(cbrt x)
180.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify134.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune252.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	64	10	74

Merged error: 0.0b

Counts

74 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series703.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt x)
181.0ms	(cbrt x)
176.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify125.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune248.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	64	10	74

Merged error: 0.0b

Counts

74 → 10

regimes204.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	19
1	21	19

end0.0ms

sample784.0ms

Algorithm

intervals

Results

267.0ms	8042×	body	80	valid
195.0ms	7750×	body	80	nan

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4