Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

373×

body

valid

simplify204.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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	4668	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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l` `-commutative`
1×	`flip3--` `flip--`

Counts

1 → 9

Calls

1 calls:

5.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify180.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	81	58
1	267	54
2	985	51
3	4003	51
4	5002	51

prune16.0ms

Filtered

12 candidates to 5 candidates (41.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	8	4	12
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	9	4	13

Merged error: 0.0b

Counts

13 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`associate-r` `associate-l`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `flip-+` `sqr-pow`

Counts

3 → 12

Calls

3 calls:

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

series152.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 2.0 (pow x 3))
91.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
26.0ms	(* (* x x) 3.0)

simplify169.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	92	77
1	412	73
2	2693	64
3	5002	64

prune34.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize9.0ms

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))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `associate-*r/`
3×	`*-commutative`
2×	`flip3--` `associate-r` `flip--`

Counts

2 → 20

Calls

2 calls:

5.0ms	(* x (- 3.0 (* x 2.0)))
8.0ms	(* x (* x (- 3.0 (* x 2.0))))

series141.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* x (- 3.0 (* x 2.0)))
73.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify180.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	89	119
1	255	108
2	966	105
3	4032	105
4	5001	105

prune27.0ms

Filtered

26 candidates to 9 candidates (34.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.1b	(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
2.9b	(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r`
17×	`*-commutative`
12×	`difference-of-squares`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
8×	`associate-/l*`
6×	`sub-neg`
3×	`flip3--` `flip--`
2×	`associate-/r/` `associate-/l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 43

Calls

3 calls:

8.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
9.0ms	(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
12.0ms	(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

series348.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
98.0ms	(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
151.0ms	(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

simplify143.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	202	328
1	765	328
2	4094	281
3	5001	281

prune63.0ms

Filtered

52 candidates to 25 candidates (48.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	51	5	56

Merged error: 0b

Counts

56 → 5

regimes16.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	19	6
2	19	6

end0.0ms

sample343.0ms

Algorithm

intervals

Results

221.0ms

12052×

body

valid