Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
4.0ms	217×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

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: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite8.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

6.0ms

(* x (log x))

series185.0ms

Counts

1 → 3

Calls

1 calls:

184.0ms

(* x (log x))

simplify193.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	95	121
1	348	105
2	1040	98
3	4535	98
4	5001	98

prune45.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 0.0b

Counts

31 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt x))))
5.0ms	(* x (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* x (* 2 (log (cbrt x))))
321.0ms	(* x (log (cbrt x)))
175.0ms	(cbrt x)
173.0ms	(cbrt x)

simplify43.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	294	672
1	1212	589
2	5002	567

prune220.0ms

Filtered

116 candidates to 77 candidates (66.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`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 → 55

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))

series798.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt x)
175.0ms	(cbrt x)
174.0ms	(cbrt x)
243.0ms	(cbrt (cbrt x))

simplify49.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	75	209
1	145	195
2	361	187
3	1382	187
4	5002	187

prune233.0ms

Filtered

67 candidates to 60 candidates (89.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt x)))
0.3b	(* x (* 2 (log (pow x 1/3))))
0.6b	(cbrt x)
5.0b	(pow x 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
13×	`pow1`
12×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-prod`
6×	`associate-r` `associate-l`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `log-pow` `*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
10.0ms	(* x (* 2 (log (pow x 1/3))))
1.0ms	(cbrt x)
2.0ms	(pow x 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

444.0ms	(* x (log (cbrt x)))
327.0ms	(* x (* 2 (log (pow x 1/3))))
172.0ms	(cbrt x)
167.0ms	(pow x 1/3)

simplify61.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	409	701
1	1740	551
2	5001	511

prune202.0ms

Filtered

127 candidates to 74 candidates (58.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	128	6	134

Merged error: 0.0b

Counts

134 → 6

regimes54.0ms

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

sample551.0ms

Algorithm

intervals

Results

224.0ms	8036×	body	80	valid
140.0ms	8154×	body	80	nan