Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	295×	body	80	valid
1.0ms	16×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	8×	body	320	valid
0.0ms	5×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	75	4
3	141	4
4	170	4
5	170	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`associate-l`
17×	`associate-r`
16×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`unswap-sqr`
4×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-*l/` `flip--` `add-log-exp`

Counts

2 → 65

Calls

2 calls:

14.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
10.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
60.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	248	363
1	1107	322
2	5001	319

prune92.0ms

Filtered

71 candidates to 46 candidates (35.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Merged error: 0.0b

Counts

72 → 10

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-r` `unswap-sqr`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

2 → 40

Calls

2 calls:

6.0ms	(- 6.0 (* 9.0 x))
12.0ms	(* (- 6.0 (* 9.0 x)) x)

series111.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 6.0 (* 9.0 x))
73.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify80.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	149	213
1	513	194
2	2783	191
3	5001	191

prune62.0ms

Filtered

46 candidates to 29 candidates (37.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (pow (- 6.0 (* 9.0 x)) 1) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

6.0ms	(- 6.0 (* 9.0 x))
14.0ms	(* (pow (- 6.0 (* 9.0 x)) 1) x)

series111.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 6.0 (* 9.0 x))
74.0ms	(* (pow (- 6.0 (* 9.0 x)) 1) x)

simplify180.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	189	257
1	656	238
2	4627	235
3	5002	235

prune85.0ms

Filtered

54 candidates to 35 candidates (35.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	54	9	63

Merged error: 0.0b

Counts

63 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* (* 3.0 1) (* (- 2.0 (* x 3.0)) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`associate-l`
25×	`associate-r`
21×	`add-exp-log` `*-un-lft-identity`
19×	`unswap-sqr`
16×	`pow1` `add-cbrt-cube`
14×	`prod-exp`
10×	`add-cube-cbrt`
9×	`pow-prod-down` `cbrt-unprod`
4×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `1-exp` `associate-*r/` `flip--` `add-log-exp`

Counts

2 → 83

Calls

2 calls:

10.0ms	(* (- 2.0 (* x 3.0)) x)
21.0ms	(* (* 3.0 1) (* (- 2.0 (* x 3.0)) x))

series165.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (- 2.0 (* x 3.0)) x)
94.0ms	(* (* 3.0 1) (* (- 2.0 (* x 3.0)) x))

simplify54.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	389	530
1	1601	458
2	5002	450

prune85.0ms

Filtered

89 candidates to 51 candidates (42.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

regimes29.0ms

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	12	3
1	12	3

end0.0ms

sample357.0ms

Algorithm

intervals

Results

185.0ms	9833×	body	80	valid
28.0ms	344×	body	1280	valid
18.0ms	272×	body	640	valid
8.0ms	162×	body	320	valid
2.0ms	64×	body	160	valid