Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

343×

body

valid

simplify75.0ms

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 (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

4.0ms	(- (* (* x 3.0) x) (* x 4.0))
9.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms	(* (* x 3.0) x)

series132.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (* (* x 3.0) x) (* x 4.0))
31.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
26.0ms	(* (* x 3.0) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	286	367
1	1258	325
2	5002	310

prune117.0ms

Filtered

62 candidates to 40 candidates (64.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 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))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

6.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms	(* 9.0 (pow x 2))

series54.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (pow x 2))

simplify157.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	193	233
1	766	207
2	4099	201
3	5003	200

prune88.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0b

Counts

53 → 6

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- (* x 9.0) 12.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

6.0ms

(* x (- (* x 9.0) 12.0))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* x (- (* x 9.0) 12.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	118	130
1	497	113
2	2567	113
3	5002	113

prune47.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	29	4	33

Merged error: 0b

Counts

33 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
8×	`add-log-exp` `unswap-sqr`
5×	`pow1` `unpow-prod-down`
4×	`cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `*-commutative`
1×	`sub-neg` `flip3--` `pow-prod-down` `associate--l+` `sum-log` `flip--`

Counts

3 → 70

Calls

3 calls:

10.0ms	(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
7.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))
11.0ms	(* (sqrt 9.0) (pow x 2))

series171.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
74.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))
44.0ms	(* (sqrt 9.0) (pow x 2))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	259	502
1	1126	405
2	5002	388

prune146.0ms

Filtered

79 candidates to 47 candidates (59.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	79	4	83

Merged error: 0b

Counts

83 → 4

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	11	4
1	11	4

end0.0ms

sample384.0ms

Algorithm

intervals

Results

264.0ms

10731×

body

valid