Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

351×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	16	3
2	20	3
3	21	3
4	21	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 3.0)
0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt` `*-un-lft-identity`
5×	`difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 47

Calls

2 calls:

3.0ms	(- (* x x) 3.0)
8.0ms	(/ (- (* x x) 3.0) 6.0)

series105.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (* x x) 3.0)
66.0ms	(/ (- (* x x) 3.0) 6.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	285
1	661	264
2	2616	264
3	5001	264

prune116.0ms

Filtered

53 candidates to 41 candidates (77.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 0.16666666666666666 (pow x 2))

rewrite10.0ms

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×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

9.0ms

(* 0.16666666666666666 (pow x 2))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* 0.16666666666666666 (pow x 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	107	102
1	404	87
2	1988	87
3	5002	86

prune50.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) (pow x 2))
0.2b	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 56

Calls

2 calls:

8.0ms	(* (sqrt 0.16666666666666666) (pow x 2))
12.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (sqrt 0.16666666666666666) (pow x 2))
70.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

simplify150.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	168	308
1	717	259
2	3908	249
3	5001	248

prune101.0ms

Filtered

62 candidates to 34 candidates (54.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (sqrt 0.16666666666666666))
0.2b	(* x (sqrt 0.16666666666666666))
0.3b	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

5.0ms	(* x (sqrt 0.16666666666666666))
5.0ms	(* x (sqrt 0.16666666666666666))
15.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* x (sqrt 0.16666666666666666))
43.0ms	(* x (sqrt 0.16666666666666666))
71.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify132.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	138	312
1	653	242
2	3648	238
3	5001	238

prune104.0ms

Filtered

87 candidates to 40 candidates (46.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes20.0ms

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	8	3
1	8	3

end0.0ms

sample286.0ms

Algorithm

intervals

Results

175.0ms

10619×

body

valid