Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	26	6
1	55	6
2	122	6
3	205	6
4	253	5
5	307	5
6	363	5
7	498	5
8	911	5
9	1187	5
10	1188	5
11	1188	5

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
8×	`associate-+r+` `associate-l`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `add-cbrt-cube`
4×	`associate-*r/`
3×	`unswap-sqr`
2×	`+-commutative` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`flip3--` `flip3-+` `flip--` `flip-+`

Counts

2 → 62

Calls

2 calls:

11.0ms	(* x (- (* x 3.0) 4.0))
20.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series102.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* x (- (* x 3.0) 4.0))
34.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	287	379
1	1270	347
2	5001	347

prune83.0ms

Filtered

68 candidates to 37 candidates (45.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0b

Counts

69 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b	(* 9.0 (pow x 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
8×	`associate-r` `associate-l`
7×	`add-exp-log` `add-log-exp`
6×	`distribute-lft-out--`
5×	`add-cube-cbrt` `unswap-sqr`
4×	`pow1` `unpow-prod-down` `add-cbrt-cube` `distribute-lft-out`
3×	`prod-exp`
2×	`diff-log` `associate--l+` `unpow2` `difference-of-squares` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-prod-down` `pow-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 51

Calls

2 calls:

19.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms	(* 9.0 (pow x 2))

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
30.0ms	(* 9.0 (pow x 2))

simplify149.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	205	299
1	748	273
2	3857	260
3	5002	259

prune81.0ms

Filtered

57 candidates to 34 candidates (40.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	59	4	63

Merged error: 0b

Counts

63 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.0b	(+ (* x (- (* x 9.0) 12.0)) 3.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`associate-r` `add-log-exp`
6×	`associate-l`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `add-cbrt-cube`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`unswap-sqr`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

3 → 61

Calls

3 calls:

8.0ms	(- (* x 9.0) 12.0)
16.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
11.0ms	(* x (- (* x 9.0) 12.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (* x 9.0) 12.0)
25.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
67.0ms	(* x (- (* x 9.0) 12.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	226	337
1	807	306
2	4019	302
3	5001	302

prune87.0ms

Filtered

70 candidates to 44 candidates (37.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0b

Counts

74 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.0b	(+ (* (* x 9.0) x) (- 3.0 (* 12.0 x)))
0.1b	(* (* x 9.0) x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
28×	`associate-l`
19×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`distribute-lft-out`
8×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
7×	`add-cube-cbrt`
6×	`associate-r`
5×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-+r+` `diff-log` `sum-log` `*-commutative` `difference-of-squares`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

3 → 71

Calls

3 calls:

6.0ms	(- 3.0 (* 12.0 x))
24.0ms	(+ (* (* x 9.0) x) (- 3.0 (* 12.0 x)))
8.0ms	(* (* x 9.0) x)

series93.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- 3.0 (* 12.0 x))
24.0ms	(+ (* (* x 9.0) x) (- 3.0 (* 12.0 x)))
26.0ms	(* (* x 9.0) x)

simplify134.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	268	366
1	901	345
2	4916	324
3	5001	324

prune84.0ms

Filtered

80 candidates to 44 candidates (45.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	81	3	84

Merged error: 0b

Counts

84 → 3

regimes12.0ms

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	11	4
1	11	4

end0.0ms

sample370.0ms

Algorithm

intervals

Results

255.0ms

10675×

body

valid