Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify169.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite70.0ms

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:

66.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify964.0ms

Counts

61 → 61

Iterations

Useful iterations: 3 (338.0ms)

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

prune105.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite340.0ms

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:

268.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
31.0ms	(/ y (- 2.0 (+ x y)))
35.0ms	(/ x (- 2.0 (+ x y)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
56.0ms	(/ y (- 2.0 (+ x y)))
49.0ms	(/ x (- 2.0 (+ x y)))

simplify1.3s

Counts

125 → 125

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	176	1863
1	376	1776
2	855	1702
3	1903	1692
done	5000	1682

prune324.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite608.0ms

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:

417.0ms	(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
44.0ms	(/ y (- 2.0 (+ x y)))
64.0ms	(/ (- 2.0 (+ x y)) x)
63.0ms	(/ 1 (/ (- 2.0 (+ x y)) x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
55.0ms	(/ y (- 2.0 (+ x y)))
44.0ms	(/ (- 2.0 (+ x y)) x)
61.0ms	(/ 1 (/ (- 2.0 (+ x y)) x))

simplify3.5s

Counts

235 → 235

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	308	4051
1	698	3584
2	1603	3245
3	4466	3193
done	5001	3193

prune523.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite960.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
69×	`times-frac`
41×	`distribute-lft-out--`
27×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`distribute-lft-out`
13×	`associate-/r*`
11×	`add-log-exp`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`pow1` `frac-sub`
4×	`flip3--` `flip--`
3×	`diff-log` `div-exp` `div-inv`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`rec-exp` `pow-flip` `1-exp` `sum-log` `associate--r+` `inv-pow`

Counts

4 → 142

Calls

4 calls:

732.0ms	(- (/ 1 (- (/ 2.0 x) (+ 1 (/ y x)))) (/ y (- 2.0 (+ x y))))
82.0ms	(- (/ 2.0 x) (+ 1 (/ y x)))
30.0ms	(/ y (- 2.0 (+ x y)))
106.0ms	(/ 1 (- (/ 2.0 x) (+ 1 (/ y x))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (/ 1 (- (/ 2.0 x) (+ 1 (/ y x)))) (/ y (- 2.0 (+ x y))))
34.0ms	(- (/ 2.0 x) (+ 1 (/ y x)))
65.0ms	(/ y (- 2.0 (+ x y)))
60.0ms	(/ 1 (- (/ 2.0 x) (+ 1 (/ y x))))

simplify3.8s

Counts

154 → 154

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	241	2810
1	550	2606
2	1342	2496
3	4022	2474
done	5000	2474

prune371.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	17	19
done	17	19

end0.0ms

sample752.0ms

Algorithm

intervals

Results

517.0ms

8000×

body

valid