Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify195.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	17	9
2	28	9
3	41	9
4	54	9
5	65	9
6	77	9
7	89	9
8	96	9
9	104	9
10	105	9
11	107	9
12	108	9
done	108	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

74.0ms

(/ (- x y) (- 2.0 (+ x y)))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: 3 (433.0ms)

Iter	Nodes	Cost
0	112	990
1	276	951
2	712	905
3	1924	903
done	5000	903

prune159.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
64×	`times-frac`
59×	`add-sqr-sqrt`
41×	`distribute-lft-out--`
27×	`add-cube-cbrt`
14×	`distribute-lft-out` `difference-of-squares`
12×	`associate-/r*`
8×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 116

Calls

3 calls:

42.0ms	(/ x (- 2.0 (+ x y)))
35.0ms	(/ y (- 2.0 (+ x y)))
260.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series199.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ x (- 2.0 (+ x y)))
61.0ms	(/ y (- 2.0 (+ x y)))
84.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify1.5s

Counts

125 → 125

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	176	1863
1	376	1776
2	852	1702
3	1905	1692
done	5001	1682

prune237.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
0.0b	(/ (- 2.0 (+ x y)) y)
0.4b	(/ 1 (/ (- 2.0 (+ x y)) y))

rewrite536.0ms

Algorithm

rewrite-expression-head

Rules

211×	`*-un-lft-identity`
197×	`times-frac`
162×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
47×	`distribute-lft-out--`
31×	`associate-/r*`
30×	`difference-of-squares`
21×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
3×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `frac-sub` `inv-pow`

Counts

4 → 223

Calls

4 calls:

45.0ms	(/ x (- 2.0 (+ x y)))
336.0ms	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
82.0ms	(/ (- 2.0 (+ x y)) y)
61.0ms	(/ 1 (/ (- 2.0 (+ x y)) y))

series283.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ x (- 2.0 (+ x y)))
100.0ms	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
43.0ms	(/ (- 2.0 (+ x y)) y)
86.0ms	(/ 1 (/ (- 2.0 (+ x y)) y))

simplify3.7s

Counts

235 → 235

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	310	4055
1	704	3584
2	1602	3245
3	4452	3187
done	5001	3187

prune508.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 2.0 x) y)
0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ (sqrt 1) (+ (/ (- 2.0 x) y) -1)))
0.4b	(/ (sqrt 1) (+ (/ (- 2.0 x) y) -1))

rewrite497.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
98×	`times-frac`
46×	`add-cube-cbrt`
25×	`sqrt-prod`
23×	`distribute-lft-out--`
16×	`distribute-lft-out` `difference-of-squares`
15×	`associate-/r*`
14×	`difference-of-sqr--1` `associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1` `associate-/r/`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `frac-sub` `flip-+`

Counts

4 → 169

Calls

4 calls:

28.0ms	(/ (- 2.0 x) y)
31.0ms	(/ x (- 2.0 (+ x y)))
339.0ms	(- (/ x (- 2.0 (+ x y))) (/ (sqrt 1) (+ (/ (- 2.0 x) y) -1)))
92.0ms	(/ (sqrt 1) (+ (/ (- 2.0 x) y) -1))

series258.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- 2.0 x) y)
59.0ms	(/ x (- 2.0 (+ x y)))
83.0ms	(- (/ x (- 2.0 (+ x y))) (/ (sqrt 1) (+ (/ (- 2.0 x) y) -1)))
69.0ms	(/ (sqrt 1) (+ (/ (- 2.0 x) y) -1))

simplify2.2s

Counts

181 → 181

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	285	3060
1	607	2685
2	1282	2569
3	3292	2558
done	5000	2558

prune537.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	18
1	18	17
done	18	17

end0.0ms

sample638.0ms

Algorithm

intervals

Results

346.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid