Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	59×	body	1280	valid
3.0ms	139×	body	80	valid
2.0ms	24×	body	640	valid
1.0ms	24×	body	320	valid
0.0ms	10×	body	160	valid

simplify20.0ms

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: 27.6b

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))
3.3b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite15.0ms

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))
8.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (+ x 1.0))
38.0ms	(/ (+ x 1.0) (- x 1.0))
134.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (57.0ms)

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

prune92.0ms

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: 0.2b

Counts

41 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.0b	(/ (+ x 1.0) x)
0.0b	(/ (- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (* (/ (+ x 1.0) x) (- x 1.0)))
2.8b	(- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

3.0ms	(/ (+ x 1.0) x)
3.0ms	(/ (+ x 1.0) x)
10.0ms	(/ (- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (* (/ (+ x 1.0) x) (- x 1.0)))
4.0ms	(- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (+ x 1.0) x)
50.0ms	(/ (+ x 1.0) x)
88.0ms	(/ (- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (* (/ (+ x 1.0) x) (- x 1.0)))
35.0ms	(- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	441	568
1	1908	527
2	5002	516

prune135.0ms

Filtered

64 candidates to 52 candidates (81.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ x 1.0) x) (- x 1.0))
0.0b	(/ (+ x 1.0) x)
0.0b	(/ (- (/ (- 1.0) x) 3.0) (* (/ (+ x 1.0) x) (- x 1.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-times`
17×	`associate-/r/`
16×	`associate-/l/`
13×	`flip3--` `flip--`
10×	`associate-*l/`
8×	`frac-2neg` `clear-num`
7×	`flip3-+` `flip-+`
4×	`associate-*r/` `div-inv`
3×	`div-sub` `associate-/r*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`
1×	`associate--l-` `neg-sub0`

Counts

3 → 55

Calls

3 calls:

6.0ms	(* (/ (+ x 1.0) x) (- x 1.0))
3.0ms	(/ (+ x 1.0) x)
10.0ms	(/ (- (/ (- 1.0) x) 3.0) (* (/ (+ x 1.0) x) (- x 1.0)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* (/ (+ x 1.0) x) (- x 1.0))
45.0ms	(/ (+ x 1.0) x)
89.0ms	(/ (- (/ (- 1.0) x) 3.0) (* (/ (+ x 1.0) x) (- x 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	430	469
1	1927	458
2	5001	451

prune150.0ms

Filtered

64 candidates to 54 candidates (84.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(* (/ 1 (/ x (+ x 1.0))) (- x 1.0))
0.0b	(/ (- (/ (- 1.0) x) 3.0) (* (/ 1 (/ x (+ x 1.0))) (- x 1.0)))
0.0b	(/ 1 (/ x (+ x 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`associate-/r/`
27×	`associate-/r*`
24×	`frac-times`
15×	`flip3--` `flip--`
13×	`clear-num`
12×	`frac-2neg` `associate-*l/` `div-inv`
8×	`flip3-+` `associate-l` `flip-+`
4×	`associate-*r/`
3×	`div-sub`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-commutative` `associate-/l/`
1×	`associate--l-` `neg-sub0` `remove-double-div` `inv-pow`

Counts

4 → 78

Calls

4 calls:

3.0ms	(/ x (+ x 1.0))
7.0ms	(* (/ 1 (/ x (+ x 1.0))) (- x 1.0))
11.0ms	(/ (- (/ (- 1.0) x) 3.0) (* (/ 1 (/ x (+ x 1.0))) (- x 1.0)))
4.0ms	(/ 1 (/ x (+ x 1.0)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x (+ x 1.0))
103.0ms	(* (/ 1 (/ x (+ x 1.0))) (- x 1.0))
91.0ms	(/ (- (/ (- 1.0) x) 3.0) (* (/ 1 (/ x (+ x 1.0))) (- x 1.0)))
49.0ms	(/ 1 (/ x (+ x 1.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	504	595
1	2991	537
2	5002	537

prune191.0ms

Filtered

90 candidates to 74 candidates (82.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	90	3	93

Merged error: 0b

Counts

93 → 3

regimes12.0ms

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	19	9
1	19	9

end0.0ms

sample537.0ms

Algorithm

intervals

Results

190.0ms	1737×	body	1280	valid
106.0ms	1253×	body	640	valid
96.0ms	4086×	body	80	valid
36.0ms	584×	body	320	valid
15.0ms	340×	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