Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

370×

body

valid

simplify193.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	81	4
3	127	4
4	133	4
5	149	4
6	205	4
7	396	4
8	1328	4
9	4662	4
10	5001	4

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `-un-lft-identity` `distribute-lft-in` `associate-r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

7.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify141.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	171	170
1	807	140
2	4462	140
3	5001	140

prune38.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Merged error: 0.0b

Counts

29 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) 3.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

6.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
8.0ms	(* (* x x) 3.0)

series114.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
23.0ms	(* (* x x) 3.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	193	210
1	975	184
2	5002	177

prune62.0ms

Filtered

40 candidates to 25 candidates (62.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	40	7	47

Merged error: 0b

Counts

47 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`sub-neg` `associate-r/` `associate-l*`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 52

Calls

2 calls:

8.0ms	(* x (- 3.0 (* x 2.0)))
7.0ms	(* x (* x (- 3.0 (* x 2.0))))

series135.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (- 3.0 (* x 2.0)))
67.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify39.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	192	313
1	954	262
2	5002	262

prune60.0ms

Filtered

58 candidates to 30 candidates (51.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	59	6	65

Merged error: 0b

Counts

65 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 3.0)
0.3b	(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
22.5b	(sqrt (* (* x x) 3.0))
22.5b	(sqrt (* (* x x) 3.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `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` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

5.0ms	(* (* x x) 3.0)
12.0ms	(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
4.0ms	(sqrt (* (* x x) 3.0))
4.0ms	(sqrt (* (* x x) 3.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x x) 3.0)
66.0ms	(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
35.0ms	(sqrt (* (* x x) 3.0))
33.0ms	(sqrt (* (* x x) 3.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	178	363
1	921	297
2	5001	286

prune131.0ms

Filtered

121 candidates to 56 candidates (46.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	6	127

Merged error: 0b

Counts

127 → 6

regimes36.0ms

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	10	4
1	10	4

end0.0ms

sample396.0ms

Algorithm

intervals

Results

268.0ms

12137×

body

valid