Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

351×

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x y) y)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* x y) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (55.0ms)

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

prune34.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
18.5b	(cbrt (* (* x y) y))
18.5b	(cbrt (* (* x y) y))
18.5b	(cbrt (* (* x y) y))

rewrite17.0ms

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:

5.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
4.0ms	(cbrt (* (* x y) y))
3.0ms	(cbrt (* (* x y) y))
3.0ms	(cbrt (* (* x y) y))

series381.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
91.0ms	(cbrt (* (* x y) y))
89.0ms	(cbrt (* (* x y) y))
89.0ms	(cbrt (* (* x y) y))

simplify93.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (87.0ms)

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

prune162.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
10.6b	(cbrt (* x y))
18.5b	(cbrt (* (* x y) y))
18.5b	(cbrt (* (* x y) y))

rewrite11.0ms

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))
3.0ms	(cbrt (* (* x y) y))
3.0ms	(cbrt (* (* x y) y))

series408.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt y)
65.0ms	(cbrt (* x y))
89.0ms	(cbrt (* (* x y) y))
89.0ms	(cbrt (* (* x y) y))

simplify93.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (89.0ms)

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

prune151.0ms

Filtered

50 candidates to 43 candidates (86.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	49	10	59

Merged error: 0.0b

Counts

59 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
10.6b	(cbrt (* x y))
18.5b	(cbrt (* (* x y) y))
18.5b	(cbrt (* (* x y) y))

rewrite11.0ms

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))
3.0ms	(cbrt (* (* x y) y))

series428.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
70.0ms	(cbrt (* x y))
92.0ms	(cbrt (* (* x y) y))
91.0ms	(cbrt (* (* x y) y))

simplify93.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (89.0ms)

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

prune140.0ms

Filtered

50 candidates to 43 candidates (86.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	50	10	60

Merged error: 0.0b

Counts

60 → 10

regimes94.0ms

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

sample318.0ms

Algorithm

intervals

Results

162.0ms

10665×

body

valid