Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

350×

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: 0.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 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)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* x 3.0) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (51.0ms)

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

localize5.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
19.3b	(sqrt (* (* x 3.0) x))
19.3b	(sqrt (* (* x 3.0) x))

rewrite27.0ms

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))

series171.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 3.0) x)
73.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
35.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (39.0ms)

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

prune121.0ms

Filtered

120 candidates to 49 candidates (40.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	117	9	126

Merged error: 0.0b

Counts

126 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
19.3b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
19.3b	(sqrt (* (* x 3.0) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
14.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
3.0ms	(sqrt (* (* x 3.0) x))

series620.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
346.0ms	(cbrt x)
68.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
33.0ms	(sqrt (* (* x 3.0) x))

simplify142.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (132.0ms)

Iter	Nodes	Cost
0	83	227
1	202	212
2	622	168
3	3627	168
4	5002	159

prune130.0ms

Filtered

61 candidates to 44 candidates (72.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	61	9	70

Merged error: 0.0b

Counts

70 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

19.3b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
20.2b	(cbrt (* (* x 3.0) x))
20.2b	(cbrt (* (* x 3.0) x))
20.2b	(cbrt (* (* x 3.0) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 51

Calls

4 calls:

8.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
4.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))

series777.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
216.0ms	(cbrt (* (* x 3.0) x))
208.0ms	(cbrt (* (* x 3.0) x))
221.0ms	(cbrt (* (* x 3.0) x))

simplify86.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	86	296
1	220	264
2	1196	258
3	5001	258

prune99.0ms

Filtered

63 candidates to 40 candidates (63.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	63	9	72

Merged error: 0.0b

Counts

72 → 9

regimes48.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample230.0ms

Algorithm

intervals

Results

130.0ms

10582×

body

valid