Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

338×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	9	2
2	9	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 y) y)

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x y) y)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x y) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	97	78
1	468	63
2	2089	63
3	5001	62

prune34.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	18	5	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	6	24

Merged error: 0.0b

Counts

24 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
21.2b	(cbrt (* (* x y) y))
21.2b	(cbrt (* (* x y) y))
21.2b	(cbrt (* (* x y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

6.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
4.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))

series382.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
89.0ms	(cbrt (* (* x y) y))
90.0ms	(cbrt (* (* x y) y))
92.0ms	(cbrt (* (* x y) y))

simplify93.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	209	467
1	684	410
2	3048	353
3	5001	345

prune145.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
10.8b	(cbrt (* x y))
10.8b	(cbrt (* x y))
21.2b	(cbrt (* (* x y) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (* x y))
2.0ms	(cbrt (* x y))
4.0ms	(cbrt (* (* x y) y))

series398.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
66.0ms	(cbrt (* x y))
68.0ms	(cbrt (* x y))
90.0ms	(cbrt (* (* x y) y))

simplify98.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	166	231
1	355	209
2	1047	183
3	3611	178
4	5001	178

prune159.0ms

Filtered

58 candidates to 51 candidates (87.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	57	8	65

Merged error: 0.0b

Counts

65 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
10.8b	(cbrt (* x y))
10.8b	(cbrt (* x y))
21.2b	(cbrt (* (* x y) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 49

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (* x y))
2.0ms	(cbrt (* x y))
4.0ms	(cbrt (* (* x y) y))

series464.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (cbrt y))
65.0ms	(cbrt (* x y))
68.0ms	(cbrt (* x y))
90.0ms	(cbrt (* (* x y) y))

simplify75.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (70.0ms)

Iter	Nodes	Cost
0	180	268
1	361	244
2	932	218
3	2689	213
4	5001	211

prune205.0ms

Filtered

61 candidates to 56 candidates (91.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample381.0ms

Algorithm

intervals

Results

207.0ms

10753×

body

valid