Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

336×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

7.0ms

(* (* x y) y)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (* x y) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	127	116
1	508	95
2	2380	95
3	5001	92

prune63.0ms

Filtered

34 candidates to 21 candidates (61.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	8	35

Merged error: 0.0b

Counts

35 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x y)) (cbrt (* x y)))
8.4b	(cbrt (* x y))
8.4b	(cbrt (* x y))
8.4b	(cbrt (* x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 137

Calls

4 calls:

13.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series310.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
70.0ms	(cbrt (* x y))
73.0ms	(cbrt (* x y))
75.0ms	(cbrt (* x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	270	936
1	952	875
2	3581	791
3	5001	760

prune372.0ms

Filtered

149 candidates to 105 candidates (70.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	149	8	157

Merged error: 0.0b

Counts

157 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x 1))
0.6b	(cbrt y)
8.4b	(cbrt (* x y))
8.4b	(cbrt (* x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`*-commutative`

Counts

4 → 72

Calls

4 calls:

4.0ms	(cbrt (* x 1))
1.0ms	(cbrt y)
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series545.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (* x 1))
191.0ms	(cbrt y)
76.0ms	(cbrt (* x y))
76.0ms	(cbrt (* x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	182	348
1	485	325
2	1424	298
3	5001	277

prune279.0ms

Filtered

84 candidates to 63 candidates (75.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Merged error: 0b

Counts

92 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt y)
8.4b	(cbrt (* x y))
8.4b	(cbrt (* x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`*-commutative` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt y)
4.0ms	(cbrt (* x y))
5.0ms	(cbrt (* x y))

series559.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt x)
208.0ms	(cbrt y)
79.0ms	(cbrt (* x y))
83.0ms	(cbrt (* x y))

simplify160.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	157	294
1	382	278
2	1114	258
3	4679	248
4	5002	248

prune237.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	74	9	83

Merged error: 0b

Counts

83 → 9

regimes100.0ms

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

sample329.0ms

Algorithm

intervals

Results

170.0ms

10498×

body

valid