Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

330×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* x 3.0) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune24.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.1b

Counts

22 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
11.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series167.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x 3.0) x)
70.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
32.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune111.0ms

Filtered

120 candidates to 49 candidates (40.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	117	9	126

Merged error: 0.0b

Counts

126 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

157×	`pow1`
149×	`sqrt-pow1`
82×	`pow-prod-down`
29×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`pow1/2`
21×	`pow-prod-up`
13×	`pow-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

15.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
3.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series145.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
33.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))
39.0ms	(sqrt (* (* x 3.0) x))

simplify173.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	135	483
1	545	444
2	3369	420
3	5002	399

prune152.0ms

Filtered

136 candidates to 58 candidates (42.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	134	11	145

Merged error: 0.0b

Counts

145 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
12×	`sqrt-pow1` `pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (* (* x 3.0) x))
39.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify97.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	180
1	57	172
2	84	172
3	103	172
4	122	172
5	176	172
6	603	172
7	1834	172
8	5001	172

prune112.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	60	11	71

Merged error: 0.0b

Counts

71 → 11

regimes55.0ms

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	6	2
1	6	2

end0.0ms

sample281.0ms

Algorithm

intervals

Results

171.0ms

10665×

body

valid