Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	62×	body	640	valid
3.0ms	138×	body	80	valid
2.0ms	36×	body	320	valid
1.0ms	20×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

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: 13.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-sub`
8×	`frac-2neg` `clear-num`
6×	`associate-/r/`
4×	`div-inv`
3×	`flip--`
2×	`flip3--` `flip-+` `distribute-lft-out--`
1×	`sub-neg` `flip3-+`

Counts

3 → 25

Calls

3 calls:

3.0ms	(/ 1.0 (+ x 1.0))
2.0ms	(/ 1.0 (- x 1.0))
6.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (+ x 1.0))
33.0ms	(/ 1.0 (- x 1.0))
180.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	295	261
1	1107	229
2	5002	220

prune66.0ms

Filtered

34 candidates to 26 candidates (76.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0.3b

Counts

35 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.5b	(- (- x 1.0) (+ x 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-commutative` `difference-of-squares`
5×	`flip3--` `flip--`
4×	`associate-/r*` `frac-sub`
3×	`sub-neg`
2×	`flip3-+` `associate--l+` `associate-/r/` `flip-+` `associate--r+`
1×	`+-commutative` `associate--l-` `frac-2neg` `clear-num` `div-inv`

Counts

3 → 30

Calls

3 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
8.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
4.0ms	(- (- x 1.0) (+ x 1.0))

series113.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* x x) (* 1.0 1.0))
48.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	284	231
1	1302	220
2	5001	213

prune70.0ms

Filtered

39 candidates to 25 candidates (64.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0.3b

Counts

42 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-commutative`
12×	`difference-of-squares`
8×	`associate-/r*`
7×	`associate-*l/`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`neg-mul-1` `sub-neg` `associate-r` `distribute-rgt-neg-out`

Counts

3 → 30

Calls

3 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
7.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* x x) (* 1.0 1.0))
56.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
50.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify133.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	197	187
1	750	176
2	4025	167
3	5002	166

prune70.0ms

Filtered

39 candidates to 25 candidates (64.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- x 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/r/` `associate-/l*`
3×	`frac-2neg` `associate-l` `associate-*l/` `clear-num` `div-inv` `associate-/l/`
2×	`flip3-+` `flip-+`
1×	`neg-mul-1` `flip3--` `distribute-frac-neg` `associate-r` `*-commutative` `distribute-rgt-neg-out` `flip--`

Counts

2 → 20

Calls

2 calls:

3.0ms	(/ 1.0 (+ x 1.0))
8.0ms	(/ (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- x 1.0))

series95.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
69.0ms	(/ (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- x 1.0))

simplify127.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	220	146
1	721	130
2	3982	126
3	5001	126

prune56.0ms

Filtered

26 candidates to 24 candidates (92.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0b

Counts

30 → 4

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	19	6
2	22	6
3	22	6

end0.0ms

sample446.0ms

Algorithm

intervals

Results

162.0ms	1957×	body	640	valid
95.0ms	4203×	body	80	valid
77.0ms	1235×	body	320	valid
25.0ms	605×	body	160	valid