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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* (* x 3.0) x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* x 3.0) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (48.0ms)

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

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))

rewrite61.0ms

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:

6.0ms	(* (* x 3.0) x)
40.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series161.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 3.0) x)
69.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
37.0ms	(sqrt (* (* x 3.0) x))
32.0ms	(sqrt (* (* x 3.0) x))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (49.0ms)

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

prune276.0ms

Filtered

128 candidates to 58 candidates (45.3%)

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))

rewrite62.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 86

Calls

4 calls:

0.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))
48.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
5.0ms	(sqrt (* (* x 3.0) x))

series460.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt x)
188.0ms	(* (cbrt x) (cbrt x))
65.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
33.0ms	(sqrt (* (* x 3.0) x))

simplify126.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	166	388
1	638	358
2	4188	291
3	5002	288

prune268.0ms

Filtered

98 candidates to 69 candidates (70.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite57.0ms

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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down`
2×	`pow1/2` `pow1/3` `sqrt-prod`
1×	`unpow2` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt x)
43.0ms	(sqrt (* (* (* x 3.0) (cbrt (pow x 2))) (cbrt x)))
9.0ms	(sqrt (* (* x 3.0) x))
2.0ms	(cbrt (pow x 2))

series466.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
52.0ms	(sqrt (* (* (* x 3.0) (cbrt (pow x 2))) (cbrt x)))
38.0ms	(sqrt (* (* x 3.0) x))
196.0ms	(cbrt (pow x 2))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	156	277
1	429	258
2	1645	251
3	5001	251

prune201.0ms

Filtered

72 candidates to 56 candidates (77.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes53.0ms

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

sample350.0ms

Algorithm

intervals

Results

198.0ms

10671×

body

valid