Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

345×

body

valid

simplify7.0ms

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)

rewrite6.0ms

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 y) y)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (* x y) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	95	72
1	466	57
2	2085	57
3	5001	56

prune37.0ms

Filtered

21 candidates to 11 candidates (52.4%)

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: 0.0b

Counts

22 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series816.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt y) (cbrt y))
194.0ms	(cbrt y)
200.0ms	(cbrt y)
196.0ms	(cbrt y)

simplify103.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune186.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
20.8b	(cbrt (* (* x y) y))
20.8b	(cbrt (* (* x y) y))
20.8b	(cbrt (* (* x y) y))

rewrite19.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

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))

series451.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
112.0ms	(cbrt (* (* x y) y))
106.0ms	(cbrt (* (* x y) y))
106.0ms	(cbrt (* (* x y) y))

simplify104.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	201	433
1	643	382
2	2882	313
3	5002	305

prune166.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
11.8b	(cbrt (* x y))
20.8b	(cbrt (* (* x y) y))
20.8b	(cbrt (* (* x y) y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

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

series504.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt y)
84.0ms	(cbrt (* x y))
112.0ms	(cbrt (* (* x y) y))
108.0ms	(cbrt (* (* x y) y))

simplify121.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (115.0ms)

Iter	Nodes	Cost
0	159	224
1	331	202
2	970	170
3	3369	166
4	5003	161

prune136.0ms

Filtered

50 candidates to 43 candidates (86.0%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	50	10	60

Merged error: 0.0b

Counts

60 → 10

regimes98.0ms

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

sample317.0ms

Algorithm

intervals

Results

162.0ms

10662×

body

valid