Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	237×	body	80	nan

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 13.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
12.9b	(log (/ x y))

rewrite19.0ms

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))

series149.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* x (log (/ x y))) z)
44.0ms	(* x (log (/ x y)))
38.0ms	(log (/ x y))

simplify91.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (27.0ms)

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

prune270.0ms

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	0	0	0
Picked	1	0	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:

0.5b	(cbrt y)
0.5b	(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` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

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

series731.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt y)
182.0ms	(cbrt y)
173.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify58.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (7.0ms)

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

prune230.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	57	7	64

Merged error: 0.0b

Counts

64 → 7

localize21.0ms

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` `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 x)
1.0ms	(cbrt x)

series732.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt x)
186.0ms	(cbrt x)
172.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify130.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

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

prune265.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.9b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
8.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series672.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt x)
172.0ms	(cbrt x)
194.0ms	(cbrt x)
127.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify107.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (102.0ms)

Iter	Nodes	Cost
0	130	311
1	283	270
2	881	251
3	4192	246
4	5001	239

prune254.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

regimes95.0ms

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	23	20
1	23	20

end0.0ms

sample821.0ms

Algorithm

intervals

Results

258.0ms	8040×	body	80	valid
214.0ms	8118×	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