Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	225×	body	80	nan

simplify47.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
14.4b	(log (/ x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
67×	`add-cube-cbrt`
65×	`log-prod`
45×	`times-frac`
39×	`prod-diff`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
20×	`associate-r`
16×	`associate-l`
13×	`fma-neg`
11×	`pow1`
9×	`log-div`
8×	`add-exp-log`
6×	`log-pow` `unswap-sqr`
5×	`-commutative` `add-cbrt-cube` `div-inv` `associate-/l` `add-log-exp`
4×	`log-rec`
3×	`expm1-log1p-u` `clear-num` `associate-/r*` `log1p-expm1-u`
2×	`rem-log-exp` `distribute-rgt-neg-out` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`

Counts

3 → 181

Calls

3 calls:

13.0ms	(- (* x (log (/ x y))) z)
6.0ms	(* x (log (/ x y)))
4.0ms	(log (/ x y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x (log (/ x y))) z)
46.0ms	(* x (log (/ x y)))
40.0ms	(log (/ x y))

simplify64.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	515	1431
1	1760	1126
2	5001	1059

prune366.0ms

Filtered

190 candidates to 115 candidates (60.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	182	8	190
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	182	9	191

Merged error: 0.0b

Counts

191 → 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)

series734.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
181.0ms	(cbrt y)
186.0ms	(cbrt x)
180.0ms	(cbrt x)

simplify69.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (10.0ms)

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

prune270.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.1b	(log (/ x (cbrt y)))

rewrite12.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 87

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(log (/ x (cbrt y)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
189.0ms	(cbrt y)
182.0ms	(cbrt y)
132.0ms	(log (/ x (cbrt y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	260	480
1	650	453
2	1891	440
3	5001	424

prune352.0ms

Filtered

99 candidates to 80 candidates (80.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (cbrt y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
7.0ms	(cbrt (* (cbrt y) (cbrt y)))

series883.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
186.0ms	(cbrt y)
245.0ms	(cbrt (cbrt y))
270.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	156	471
1	456	451
2	2215	412
3	5002	412

prune384.0ms

Filtered

91 candidates to 72 candidates (79.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

regimes175.0ms

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	22	14
1	24	14
2	24	14

end0.0ms

sample764.0ms

Algorithm

intervals

Results

248.0ms	8037×	body	80	valid
190.0ms	8056×	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