Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify137.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:

39.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.2s

Counts

61 → 61

Iterations

Useful iterations: 3 (343.0ms)

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

prune89.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite251.0ms

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:

28.0ms	(/ y (- 2.0 (+ x y)))
188.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
29.0ms	(/ x (- 2.0 (+ x y)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ y (- 2.0 (+ x y)))
66.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
45.0ms	(/ x (- 2.0 (+ x y)))

simplify1.1s

Counts

125 → 125

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	176	1863
1	376	1776
2	855	1702
3	1906	1692
done	5000	1682

prune211.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
0.0b	(/ (- 2.0 (+ x y)) x)
0.9b	(/ 1 (/ (- 2.0 (+ x y)) x))

rewrite373.0ms

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:

29.0ms	(/ y (- 2.0 (+ x y)))
255.0ms	(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
43.0ms	(/ (- 2.0 (+ x y)) x)
35.0ms	(/ 1 (/ (- 2.0 (+ x y)) x))

series181.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ y (- 2.0 (+ x y)))
62.0ms	(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
28.0ms	(/ (- 2.0 (+ x y)) x)
44.0ms	(/ 1 (/ (- 2.0 (+ x y)) x))

simplify2.6s

Counts

235 → 235

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	308	4051
1	698	3584
2	1604	3245
3	4481	3193
done	5000	3193

prune314.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.1b	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
7.1b	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

258×	`*-un-lft-identity`
180×	`add-sqr-sqrt`
150×	`times-frac`
83×	`distribute-lft-out--`
78×	`cbrt-prod`
72×	`unpow-prod-down` `cube-prod`
66×	`add-cube-cbrt`
57×	`difference-of-squares`
26×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `associate-/r*` `flip--`
5×	`div-inv` `associate-/l*`
4×	`pow1`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `rem-cbrt-cube`

Counts

3 → 238

Calls

3 calls:

37.0ms	(/ (- x y) (- 2.0 (+ x y)))
38.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
40.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series184.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- x y) (- 2.0 (+ x y)))
85.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
48.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify1.0s

Counts

247 → 247

Iterations

Useful iterations: 2 (356.0ms)

Iter	Nodes	Cost
0	246	5313
1	716	4523
2	2205	4222
done	5001	4222

prune302.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	9	15
done	9	15

end0.0ms

sample315.0ms

Algorithm

intervals

Results

156.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid