Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	valid
6.0ms	240×	body	80	nan

simplify36.0ms

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: 15.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
15.5b	(log (/ x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

7.0ms	(- (* x (log (/ x y))) z)
6.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series179.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (* x (log (/ x y))) z)
53.0ms	(* x (log (/ x y)))
46.0ms	(log (/ x y))

simplify106.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	341	712
1	1099	665
2	3805	641
3	5001	641

prune293.0ms

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	7	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

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:

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

series770.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt x)
203.0ms	(cbrt x)
189.0ms	(cbrt y)
188.0ms	(cbrt y)

simplify69.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (8.0ms)

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

prune216.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

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:

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

series773.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt x)
186.0ms	(cbrt x)
194.0ms	(cbrt y)
205.0ms	(cbrt y)

simplify71.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (8.0ms)

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

prune220.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.7b	(log (/ x (cbrt y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`rem-log-exp`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(log (/ x (cbrt y)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt y)
193.0ms	(cbrt y)
186.0ms	(cbrt y)
147.0ms	(log (/ x (cbrt y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	229	386
1	542	364
2	1602	350
3	5001	336

prune251.0ms

Filtered

78 candidates to 63 candidates (80.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

regimes187.0ms

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	15	12
1	15	12

end0.0ms

sample797.0ms

Algorithm

intervals

Results

261.0ms	8035×	body	80	valid
193.0ms	7951×	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