Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify112.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	17	9
2	28	9
3	40	9
4	50	9
5	66	9
6	83	9
7	94	9
8	101	9
9	109	9
10	114	9
11	116	9
12	120	9
done	120	9

prune2.0ms

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)))

rewrite22.0ms

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:

19.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify984.0ms

Counts

61 → 61

Iterations

Useful iterations: done (979.0ms)

Iter	Nodes	Cost
0	112	990
1	275	951
2	681	905
3	1882	903
done	5001	901

prune100.0ms

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

rewrite148.0ms

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:

16.0ms	(/ y (- 2.0 (+ x y)))
14.0ms	(/ x (- 2.0 (+ x y)))
112.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series153.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ y (- 2.0 (+ x y)))
47.0ms	(/ x (- 2.0 (+ x y)))
62.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 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	868	1700
3	2233	1692
done	5000	1690

prune226.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0 (+ x y)) (- x y))
0.1b	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
258×	`times-frac`
214×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
83×	`distribute-lft-out--`
57×	`difference-of-squares`
41×	`associate-/r*`
26×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 226

Calls

2 calls:

27.0ms	(/ (- 2.0 (+ x y)) (- x y))
24.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(/ (- 2.0 (+ x y)) (- x y))
48.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify2.4s

Counts

232 → 232

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	268	4626
1	646	3997
2	1489	3668
3	4441	3576
done	5000	3573

prune242.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
0.1b	(pow (/ x (- 2.0 (+ x y))) 3)
16.0b	(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
126×	`add-sqr-sqrt`
101×	`times-frac`
66×	`cbrt-prod`
57×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
33×	`distribute-lft-out--`
30×	`difference-of-squares`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `associate-/r*` `flip--` `add-log-exp`
5×	`pow1` `div-inv`
4×	`sqr-pow`
3×	`cube-div` `pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `frac-sub` `rem-cbrt-cube`

Counts

4 → 201

Calls

4 calls:

15.0ms	(/ x (- 2.0 (+ x y)))
256.0ms	(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
18.0ms	(pow (/ x (- 2.0 (+ x y))) 3)
19.0ms	(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

series284.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x (- 2.0 (+ x y)))
97.0ms	(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
73.0ms	(pow (/ x (- 2.0 (+ x y))) 3)
66.0ms	(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

simplify790.0ms

Counts

213 → 213

Iterations

Useful iterations: done (783.0ms)

Iter	Nodes	Cost
0	260	4218
1	668	3515
2	1998	3249
done	5001	3248

prune333.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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

sample296.0ms

Algorithm

intervals

Results

173.0ms

8000×

body

valid