Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	259×	body	80	valid
4.0ms	262×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

prune1.0ms

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: 0.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

4.0ms

(* x (log x))

series182.0ms

Counts

1 → 3

Calls

1 calls:

182.0ms

(* x (log x))

simplify182.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	93	115
1	346	99
2	1041	92
3	4239	92
4	5003	92

prune35.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt x)))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
44×	`*-un-lft-identity`
43×	`associate-r`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod` `add-sqr-sqrt`
28×	`add-cube-cbrt`
24×	`associate-+l+`
15×	`pow1`
13×	`distribute-rgt-out` `associate-l`
12×	`associate-+r+` `log-pow`
11×	`distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow1/3`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
27.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

352.0ms	(* x (log (cbrt x)))
499.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
179.0ms	(cbrt x)
187.0ms	(cbrt x)

simplify64.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	395	823
1	1955	686
2	5001	646

prune244.0ms

Filtered

137 candidates to 103 candidates (75.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	6	0	6
Picked	1	0	1
Done	0	1	1
Total	140	5	145

Merged error: 0b

Counts

145 → 5

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` `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)

series717.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
177.0ms	(cbrt x)
182.0ms	(cbrt x)
175.0ms	(cbrt x)

simplify128.0ms

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	692	136
4	4040	136
5	5001	136

prune183.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	56	5	61

Merged error: 0b

Counts

61 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt x) (* (sqrt x) (log (cbrt x))))
0.3b	(* (sqrt x) (log (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-r`
27×	`add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod`
18×	`associate-l`
16×	`sqrt-prod`
14×	`unswap-sqr`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
4×	`pow1/3` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `add-log-exp`
3×	`*-commutative`

Counts

4 → 126

Calls

4 calls:

13.0ms	(* (sqrt x) (* (sqrt x) (log (cbrt x))))
6.0ms	(* (sqrt x) (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series703.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (sqrt x) (* (sqrt x) (log (cbrt x))))
95.0ms	(* (sqrt x) (log (cbrt x)))
179.0ms	(cbrt x)
181.0ms	(cbrt x)

simplify51.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	369	949
1	1612	827
2	5001	804

prune218.0ms

Filtered

138 candidates to 82 candidates (59.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	138	5	143

Merged error: 0b

Counts

143 → 5

regimes43.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample432.0ms

Algorithm

intervals

Results

157.0ms	8037×	body	80	valid
100.0ms	7859×	body	80	nan