Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	274×	body	80	valid
8.0ms	262×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r*`
3×	`*-commutative`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 15

Calls

4 calls:

2.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
3.0ms	(/ y (* 3.0 (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))
2.0ms	(* 3.0 (sqrt x))

series328.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
241.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))
38.0ms	(* 3.0 (sqrt x))

simplify101.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	230	128
1	669	109
2	3324	101
3	5002	101

prune70.0ms

Filtered

27 candidates to 21 candidates (77.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	6	28

Merged error: 0.1b

Counts

28 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`frac-2neg` `clear-num` `div-inv` `associate-/l/`
2×	`associate-/r` `-commutative`
1×	`sub-neg` `flip3--` `flip--` `associate-/l*`

Counts

4 → 17

Calls

4 calls:

2.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
3.0ms	(/ y (* 3.0 (sqrt x)))
3.0ms	(/ (/ 1.0 x) 9.0)
2.0ms	(* 3.0 (sqrt x))

series148.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
56.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ (/ 1.0 x) 9.0)
42.0ms	(* 3.0 (sqrt x))

simplify94.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	241	132
1	665	112
2	3296	104
3	5001	104

prune64.0ms

Filtered

29 candidates to 20 candidates (69.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	30	5	35

Merged error: 0.1b

Counts

35 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`frac-sub`
9×	`flip3--` `flip--` `associate-/l/`
7×	`frac-2neg` `clear-num`
5×	`div-inv`
3×	`sub-neg` `associate-/l*`
2×	`associate--l+` `associate-/r*`
1×	`associate--l-` `*-commutative`

Counts

4 → 37

Calls

4 calls:

5.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
2.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
3.0ms	(/ 1.0 (* x 9.0))
3.0ms	(/ (/ y 3.0) (sqrt x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
34.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
16.0ms	(/ 1.0 (* x 9.0))
59.0ms	(/ (/ y 3.0) (sqrt x))

simplify49.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	415	593
1	1710	536
2	5001	525

prune124.0ms

Filtered

49 candidates to 36 candidates (73.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`frac-sub`
12×	`associate-/l/`
9×	`flip3--` `flip--`
8×	`frac-2neg` `clear-num`
6×	`div-inv`
4×	`associate-/l*`
3×	`sub-neg`
2×	`associate--l+`
1×	`associate--l-`

Counts

4 → 39

Calls

4 calls:

6.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
2.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
3.0ms	(/ (/ 1.0 x) 9.0)
3.0ms	(/ (/ y 3.0) (sqrt x))

series155.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
32.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
16.0ms	(/ (/ 1.0 x) 9.0)
60.0ms	(/ (/ y 3.0) (sqrt x))

simplify49.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	426	597
1	1707	539
2	5003	528

prune110.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

regimes46.0ms

Accuracy

0% (0.2b 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	17	8
1	17	8

end0.0ms

sample873.0ms

Algorithm

intervals

Results

306.0ms	8559×	body	80	valid
279.0ms	8459×	body	80	nan