Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

328×

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite7.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune28.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

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)))
17.9b	(sqrt (* (* x 3.0) x))
17.9b	(sqrt (* (* x 3.0) x))

rewrite59.0ms

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×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* (* x 3.0) x)
38.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series171.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 3.0) x)
71.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms	(sqrt (* (* x 3.0) x))
37.0ms	(sqrt (* (* x 3.0) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune133.0ms

Filtered

120 candidates to 50 candidates (41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
17.9b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
17.9b	(sqrt (* (* x 3.0) x))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1`
21×	`add-sqr-sqrt`
19×	`cbrt-prod`
18×	`pow-prod-down`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1`
7×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow1/2` `sqrt-prod` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

0.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))
52.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
5.0ms	(sqrt (* (* x 3.0) x))

series491.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
203.0ms	(* (cbrt x) (cbrt x))
70.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
39.0ms	(sqrt (* (* x 3.0) x))

simplify127.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	158	350
1	629	320
2	4171	263
3	5002	260

prune225.0ms

Filtered

90 candidates to 61 candidates (67.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
17.9b	(sqrt (* (* (* x 3.0) (cbrt (pow x 2))) (cbrt x)))
17.9b	(sqrt (* (* x 3.0) x))
18.7b	(cbrt (pow x 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
11×	`cbrt-prod`
9×	`pow-prod-down`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down`
2×	`pow1/2` `pow1/3` `sqrt-prod`
1×	`unpow2` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
29.0ms	(sqrt (* (* (* x 3.0) (cbrt (pow x 2))) (cbrt x)))
5.0ms	(sqrt (* (* x 3.0) x))
1.0ms	(cbrt (pow x 2))

series456.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
55.0ms	(sqrt (* (* (* x 3.0) (cbrt (pow x 2))) (cbrt x)))
39.0ms	(sqrt (* (* x 3.0) x))
178.0ms	(cbrt (pow x 2))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	148	243
1	421	224
2	1632	217
3	5001	217

prune174.0ms

Filtered

64 candidates to 48 candidates (75.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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

sample238.0ms

Algorithm

intervals

Results

136.0ms

10671×

body

valid