Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

371×

body

valid

simplify184.0ms

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	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify147.0ms

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

prune43.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize8.0ms

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)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod`
3×	`pow-prod-down`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 65

Calls

3 calls:

6.0ms	(* 2.0 (pow x 3))
6.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
5.0ms	(* (* x x) 3.0)

series150.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 2.0 (pow x 3))
92.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
23.0ms	(* (* x x) 3.0)

simplify59.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	292	325
1	1517	282
2	5001	277

prune115.0ms

Filtered

74 candidates to 45 candidates (60.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Merged error: 0b

Counts

80 → 5

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))))

rewrite13.0ms

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:

5.0ms	(* x (- 3.0 (* x 2.0)))
7.0ms	(* x (* x (- 3.0 (* x 2.0))))

series138.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (- 3.0 (* x 2.0)))
71.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify35.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

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

prune63.0ms

Filtered

58 candidates to 30 candidates (51.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0b

Counts

63 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r`
23×	`add-exp-log`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
18×	`pow1`
12×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`add-log-exp`
7×	`sqrt-prod`
6×	`unswap-sqr`
5×	`associate-l`
4×	`unpow-prod-down` `cube-prod`
3×	`*-commutative`
2×	`sum-log` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* 2.0 (pow x 3))
10.0ms	(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
9.0ms	(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
7.0ms	(* (* x x) (sqrt 3.0))

series279.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 2.0 (pow x 3))
133.0ms	(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
67.0ms	(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
45.0ms	(* (* x x) (sqrt 3.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	378	553
1	2107	445
2	5002	435

prune145.0ms

Filtered

105 candidates to 60 candidates (57.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0b

Counts

110 → 5

regimes20.0ms

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	10	4
1	10	4

end0.0ms

sample412.0ms

Algorithm

intervals

Results

278.0ms

11916×

body

valid