Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

335×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x 3.0) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune31.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	17	6	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	7	24

Merged error: 0.1b

Counts

24 → 7

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
19.6b	(sqrt (* (* x 3.0) x))
19.6b	(sqrt (* (* x 3.0) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
16.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series166.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 3.0) x)
66.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
37.0ms	(sqrt (* (* x 3.0) x))
35.0ms	(sqrt (* (* x 3.0) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	183	396
1	948	335
2	5001	324

prune122.0ms

Filtered

128 candidates to 56 candidates (43.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	127	8	135

Merged error: 0.0b

Counts

135 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
19.6b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
19.6b	(sqrt (* (* x 3.0) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

series442.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
172.0ms	(cbrt x)
62.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
36.0ms	(sqrt (* (* x 3.0) x))

simplify132.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	89	252
1	208	237
2	628	183
3	3639	183
4	5003	183

prune146.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
19.6b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
19.6b	(sqrt (* (* x 3.0) x))
19.6b	(sqrt (* (* x 3.0) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1`
19×	`pow-prod-down`
12×	`sqrt-pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/2` `sqrt-prod`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt x)
10.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series313.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x)
62.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
38.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

simplify133.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	89	262
1	208	248
2	628	196
3	3639	196
4	5003	196

prune160.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

regimes45.0ms

Accuracy

0% (0.1b 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

sample290.0ms

Algorithm

intervals

Results

176.0ms

10657×

body

valid