Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

341×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	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: 8.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

8.4b	(/ x (* y y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ x (* y y))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ x (* y y))

simplify91.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5002	71

prune42.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ x y) y)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (/ x y) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5001	406

prune135.0ms

Filtered

73 candidates to 48 candidates (65.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	4	1	5
Picked	0	1	1
Done	1	0	1
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (cbrt x) (/ y (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

258×	`times-frac`
144×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
141×	`cbrt-prod`
22×	`associate-/r*`
9×	`add-exp-log`
8×	`div-inv`
6×	`add-cbrt-cube` `associate-/l*`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 208

Calls

4 calls:

9.0ms	(/ (cbrt x) (/ y (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series639.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ (cbrt x) (/ y (cbrt x)))
175.0ms	(cbrt x)
172.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify107.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	629	2081
1	3624	1985
2	5002	1890

prune413.0ms

Filtered

220 candidates to 143 candidates (65.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	220	7	227

Merged error: 0.0b

Counts

227 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
21.5b	(cbrt (/ (/ x y) y))
21.5b	(cbrt (/ (/ x y) y))
21.5b	(cbrt (/ (/ x y) y))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

486×	`times-frac`
325×	`cbrt-prod`
309×	`add-sqr-sqrt`
253×	`add-cube-cbrt` `*-un-lft-identity`
46×	`swap-sqr` `associate-r` `associate-l`
28×	`div-inv`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 331

Calls

4 calls:

42.0ms	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
5.0ms	(cbrt (/ (/ x y) y))
6.0ms	(cbrt (/ (/ x y) y))
185.0ms	(cbrt (/ (/ x y) y))

series361.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
82.0ms	(cbrt (/ (/ x y) y))
83.0ms	(cbrt (/ (/ x y) y))
86.0ms	(cbrt (/ (/ x y) y))

simplify86.0ms

Algorithm

egg-herbie

Counts

343 → 343

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	669	3901
1	2324	3805
2	5001	3739

prune856.0ms

Filtered

343 candidates to 254 candidates (74.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	342	1	343
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	343	7	350

Merged error: 0b

Counts

350 → 7

regimes62.0ms

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	4	2

end0.0ms

sample327.0ms

Algorithm

intervals

Results

170.0ms

10612×

body

valid