Details

sample20.0ms

Algorithm

intervals

Results

5.0ms	50×	body	1280	valid
3.0ms	42×	body	640	valid
3.0ms	134×	body	80	valid
1.0ms	20×	body	320	valid
0.0ms	10×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	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: 28.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ (+ x 1.0) (- x 1.0))
2.3b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`frac-sub`
10×	`frac-2neg` `clear-num`
8×	`associate-/l/`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
2×	`flip3--` `flip--` `div-inv`
1×	`sub-neg`

Counts

3 → 31

Calls

3 calls:

3.0ms	(/ x (+ x 1.0))
4.0ms	(/ (+ x 1.0) (- x 1.0))
9.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ x (+ x 1.0))
39.0ms	(/ (+ x 1.0) (- x 1.0))
140.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	410	393
1	2108	367
2	5002	349

prune88.0ms

Filtered

40 candidates to 34 candidates (85.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	4	41

Merged error: 0.1b

Counts

41 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.0b	(* (/ (+ x 1.0) x) (+ x 1.0))
0.0b	(* (/ (+ x 1.0) x) (- x 1.0))
1.8b	(- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-times`
14×	`associate-/l/`
13×	`flip3-+` `flip-+`
10×	`associate-*l/`
7×	`flip3--` `frac-2neg` `clear-num` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
5×	`+-commutative`
4×	`associate-+r+` `associate-*r/`
3×	`sub-neg` `div-inv`
2×	`associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

3.0ms	(/ (+ x 1.0) x)
6.0ms	(* (/ (+ x 1.0) x) (+ x 1.0))
5.0ms	(* (/ (+ x 1.0) x) (- x 1.0))
4.0ms	(- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (+ x 1.0) x)
37.0ms	(* (/ (+ x 1.0) x) (+ x 1.0))
110.0ms	(* (/ (+ x 1.0) x) (- x 1.0))
36.0ms	(- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))))

simplify61.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	434	472
1	2481	445
2	5001	441

prune157.0ms

Filtered

73 candidates to 54 candidates (74.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Merged error: 0.0b

Counts

77 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.0b	(* (/ (+ x 1.0) x) (- x 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-times`
8×	`associate-/l/`
6×	`flip3--` `flip--`
5×	`associate-*l/`
4×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `div-inv`
1×	`associate-l` `*-commutative`

Counts

2 → 28

Calls

2 calls:

3.0ms	(/ (+ x 1.0) x)
6.0ms	(* (/ (+ x 1.0) x) (- x 1.0))

series158.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (+ x 1.0) x)
106.0ms	(* (/ (+ x 1.0) x) (- x 1.0))

simplify31.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	213	202
1	947	202
2	5001	198

prune74.0ms

Filtered

34 candidates to 26 candidates (76.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* 1.0 (/ 1 x)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `flip--`

Counts

1 → 4

Calls

1 calls:

2.0ms

(- x (* 1.0 (/ 1 x)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(- x (* 1.0 (/ 1 x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	57	38
1	181	36
2	689	36
3	2853	28
4	5001	28

prune9.0ms

Filtered

7 candidates to 4 candidates (57.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	7	2	9

Merged error: 0b

Counts

9 → 2

regimes10.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample524.0ms

Algorithm

intervals

Results

180.0ms	1733×	body	1280	valid
103.0ms	1254×	body	640	valid
95.0ms	4108×	body	80	valid
37.0ms	615×	body	320	valid
14.0ms	290×	body	160	valid

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6