Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	270×	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 (100.0%)

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: 13.4b

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)))
13.1b	(log (/ x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

11.0ms	(- (* x (log (/ x y))) z)
6.0ms	(* x (log (/ x y)))
4.0ms	(log (/ x y))

series169.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x (log (/ x y))) z)
55.0ms	(* x (log (/ x y)))
43.0ms	(log (/ x y))

simplify129.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	370	792
1	1272	739
2	4798	715
3	5001	715

prune219.0ms

Filtered

132 candidates to 94 candidates (28.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	126	6	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	6	133

Merged error: 0.0b

Counts

133 → 6

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` `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)

series764.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt y)
199.0ms	(cbrt y)
186.0ms	(cbrt x)
185.0ms	(cbrt x)

simplify66.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1269	136
4	5001	136

prune184.0ms

Filtered

56 candidates to 48 candidates (14.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize12.0ms

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` `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)

series752.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
192.0ms	(cbrt y)
187.0ms	(cbrt x)
187.0ms	(cbrt x)

simplify65.0ms

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	1269	136
4	5001	136

prune183.0ms

Filtered

56 candidates to 48 candidates (14.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.6b	(log (/ x (cbrt y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`log-prod`
21×	`cbrt-prod`
18×	`times-frac`
12×	`log-div`
7×	`add-exp-log`
6×	`associate-/r*`
5×	`pow1`
4×	`add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`pow1/3`
2×	`rem-log-exp` `log-rec` `clear-num`
1×	`frac-2neg` `div-exp` `log-pow` `div-inv`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(log (/ x (cbrt y)))

series725.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt y)
190.0ms	(cbrt y)
188.0ms	(cbrt y)
149.0ms	(log (/ x (cbrt y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	256	460
1	644	434
2	1863	421
3	5002	405

prune239.0ms

Filtered

91 candidates to 72 candidates (20.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	90	8	98

Merged error: 0b

Counts

98 → 8

regimes113.0ms

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	17	13
1	17	13

end0.0ms

sample808.0ms

Algorithm

intervals

Results

265.0ms	8029×	body	80	valid
202.0ms	8003×	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