Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

323×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
12×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	127	122
1	478	107
2	2450	101
3	5002	99

prune53.0ms

Filtered

36 candidates to 22 candidates (61.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (pow x 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`expm1-log1p-u` `pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

6.0ms

(* 3.0 (pow x 2))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* 3.0 (pow x 2))

simplify74.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	109	110
1	408	95
2	2002	95
3	5001	94

prune48.0ms

Filtered

33 candidates to 19 candidates (57.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) x))
0.4b	(* (cbrt 3.0) x)

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

218×	`add-sqr-sqrt`
127×	`unswap-sqr`
88×	`associate-r`
80×	`cbrt-prod`
74×	`associate-l`
73×	`add-cbrt-cube`
68×	`cbrt-unprod`
31×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
22×	`swap-sqr`
19×	`pow-prod-down` `prod-exp`
12×	`*-commutative`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

3 → 213

Calls

3 calls:

204.0ms	(* x (* (cbrt 3.0) (cbrt 3.0)))
31.0ms	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) x))
4.0ms	(* (cbrt 3.0) x)

series200.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* x (* (cbrt 3.0) (cbrt 3.0)))
88.0ms	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) x))
41.0ms	(* (cbrt 3.0) x)

simplify118.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	704	1844
1	3773	1561
2	5001	1417

prune325.0ms

Filtered

222 candidates to 126 candidates (56.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	222	5	227

Merged error: 0b

Counts

227 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cbrt (cbrt 3.0)) x)
0.1b	(* x (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
0.2b	(* (* x (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (* (cbrt (cbrt 3.0)) x))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

2462×	`add-sqr-sqrt`
1979×	`unswap-sqr`
1449×	`cbrt-prod`
390×	`associate-r`
280×	`associate-l`
252×	`unpow-prod-down`
138×	`swap-sqr`
122×	`unpow2` `sqr-pow`
105×	`add-cbrt-cube`
97×	`cbrt-unprod`
94×	`add-exp-log`
73×	`prod-exp`
49×	`add-cube-cbrt` `-un-lft-identity` `-commutative`
46×	`pow1`
31×	`pow-prod-down`
6×	`pow-to-exp` `pow-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

3 → 865

Calls

3 calls:

5.0ms	(* (cbrt (cbrt 3.0)) x)
58.0ms	(* x (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
133.0ms	(* (* x (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (* (cbrt (cbrt 3.0)) x))

series778.0ms

Counts

3 → 9

Calls

3 calls:

291.0ms	(* (cbrt (cbrt 3.0)) x)
389.0ms	(* x (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
98.0ms	(* (* x (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (* (cbrt (cbrt 3.0)) x))

simplify188.0ms

Algorithm

egg-herbie

Counts

874 → 874

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	3367	17214
1	5001	16381

prune1.8s

Filtered

874 candidates to 469 candidates (53.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	874	0	874
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	874	5	879

Merged error: 0b

Counts

879 → 5

regimes35.0ms

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	6	2
1	6	2

end0.0ms

sample237.0ms

Algorithm

intervals

Results

129.0ms

10574×

body

valid