Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
7.0ms	274×	body	80	nan

simplify156.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	6

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

2×	`sub-neg` `associate-+l+` `flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `associate-+l-` `flip3--` `*-commutative` `flip--`

Counts

3 → 13

Calls

3 calls:

2.0ms	(- x (* (+ y 0.5) (log y)))
3.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
3.0ms	(* (+ y 0.5) (log y))

series311.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- x (* (+ y 0.5) (log y)))
40.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
231.0ms	(* (+ y 0.5) (log y))

simplify73.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	208	167
1	686	152
2	2830	143
3	5001	143

prune58.0ms

Filtered

22 candidates to 15 candidates (68.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	16	6	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	6	23

Merged error: 0.1b

Counts

23 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- y (* (log y) (+ 0.5 y))))
0.1b	(- y (* (log y) (+ 0.5 y)))
0.1b	(* (log y) (+ 0.5 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate--r+`
7×	`+-commutative`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-+r-`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-*r/` `flip-+`
1×	`flip3--` `*-commutative` `flip--`

Counts

3 → 25

Calls

3 calls:

3.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
2.0ms	(- y (* (log y) (+ 0.5 y)))
3.0ms	(* (log y) (+ 0.5 y))

series700.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
418.0ms	(- y (* (log y) (+ 0.5 y)))
236.0ms	(* (log y) (+ 0.5 y))

simplify91.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	223	197
1	720	183
2	3920	178
3	5001	178

prune83.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Merged error: 0.1b

Counts

40 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (* 0.5 (log y)))
0.0b	(+ x (- (- y (* 0.5 (log y))) (* (log y) y)))
0.1b	(- (- y (* 0.5 (log y))) (* (log y) y))
0.2b	(* (log y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

5×	`sub-neg`
4×	`associate-+r+` `associate--l+`
2×	`associate--l-` `associate-+r-` `flip3--` `flip--`
1×	`+-commutative` `flip3-+` `*-commutative` `flip-+`

Counts

4 → 21

Calls

4 calls:

2.0ms	(- y (* 0.5 (log y)))
4.0ms	(+ x (- (- y (* 0.5 (log y))) (* (log y) y)))
4.0ms	(- (- y (* 0.5 (log y))) (* (log y) y))
2.0ms	(* (log y) y)

series832.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(- y (* 0.5 (log y)))
41.0ms	(+ x (- (- y (* 0.5 (log y))) (* (log y) y)))
419.0ms	(- (- y (* 0.5 (log y))) (* (log y) y))
178.0ms	(* (log y) y)

simplify110.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	227	227
1	805	209
2	4091	199
3	5002	199

prune76.0ms

Filtered

33 candidates to 21 candidates (63.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Merged error: 0.1b

Counts

39 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* 0.5 (log y))) (* (log y) y))
0.1b	(+ (+ x y) (- (- (* 0.5 (log y))) (* (log y) y)))
0.2b	(* (log y) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`frac-add`
3×	`flip3--` `flip3-+` `*-commutative` `flip--` `flip-+`
2×	`+-commutative` `associate--l-` `neg-sub0` `associate-+r-` `sub-neg` `associate-+l+` `associate-+r+`
1×	`distribute-lft-neg-in` `distribute-rgt-out--` `distribute-rgt-neg-in` `distribute-lft-out--`

Counts

3 → 21

Calls

3 calls:

5.0ms	(- (- (* 0.5 (log y))) (* (log y) y))
8.0ms	(+ (+ x y) (- (- (* 0.5 (log y))) (* (log y) y)))
2.0ms	(* (log y) y)

series644.0ms

Counts

3 → 9

Calls

3 calls:

421.0ms	(- (- (* 0.5 (log y))) (* (log y) y))
41.0ms	(+ (+ x y) (- (- (* 0.5 (log y))) (* (log y) y)))
181.0ms	(* (log y) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	323	373
1	1519	343
2	5002	340

prune80.0ms

Filtered

30 candidates to 21 candidates (70.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	30	5	35

Merged error: 0.1b

Counts

35 → 5

regimes78.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	22	9
2	22	9

end0.0ms

sample850.0ms

Algorithm

intervals

Results

268.0ms	8032×	body	80	valid
226.0ms	7931×	body	80	nan
0.0ms	1×	body	160	valid