Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

297×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	2
1	16	2
2	18	2
3	18	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: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (* x 27.0) 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 27.0) y)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* (* x 27.0) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	103	78
1	504	63
2	2462	63
3	5001	63

prune40.0ms

Filtered

23 candidates to 15 candidates (65.2%)

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 27.0 (* x y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* 27.0 (* x y))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 27.0 (* x y))

simplify78.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	77
1	320	62
2	1234	62
3	3438	62
4	5002	62

prune42.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.7b	(* x (* 27.0 y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* x (* 27.0 y))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* x (* 27.0 y))

simplify85.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	93	77
1	360	62
2	1453	62
3	3754	62
4	5001	62

prune40.0ms

Filtered

23 candidates to 14 candidates (60.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	22	7	29

Merged error: 0.0b

Counts

29 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 27.0) (* (cbrt y) (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

9.0ms	(* (* x 27.0) (* (cbrt y) (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series814.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* x 27.0) (* (cbrt y) (cbrt y)))
176.0ms	(cbrt y)
360.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify118.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	181	315
1	713	254
2	3845	240
3	5001	232

prune155.0ms

Filtered

75 candidates to 57 candidates (76.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	73	9	82

Merged error: 0b

Counts

82 → 9

regimes123.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	2
1	11	2

end0.0ms

sample280.0ms

Algorithm

intervals

Results

144.0ms

9142×

body

valid