Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify105.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:

21.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify787.0ms

Counts

61 → 61

Iterations

Useful iterations: done (785.0ms)

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

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite69.0ms

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:

25.0ms	(/ (- 2.0 (+ x y)) (- x y))
26.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(/ (- 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

prune246.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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)
7.7b	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

rewrite87.0ms

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:

21.0ms	(/ (- x y) (- 2.0 (+ x y)))
27.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
26.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series179.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- x y) (- 2.0 (+ x y)))
79.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
54.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify734.0ms

Counts

247 → 247

Iterations

Useful iterations: done (724.0ms)

Iter	Nodes	Cost
0	246	5313
1	713	4523
2	2211	4222
done	5001	4216

prune317.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3)
0.1b	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
7.7b	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))
7.7b	(cbrt (pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

604×	`*-un-lft-identity`
558×	`cbrt-prod`
424×	`add-sqr-sqrt`
378×	`unpow-prod-down` `cube-prod`
360×	`times-frac`
192×	`distribute-lft-out--`
160×	`add-cube-cbrt`
132×	`difference-of-squares`
60×	`distribute-lft-out`
24×	`associate-/r/`
12×	`flip3--` `flip--` `div-inv`
8×	`add-exp-log` `cube-mult` `unpow3` `sqr-pow`
7×	`add-cbrt-cube`
6×	`pow1` `cube-div` `pow-unpow`
4×	`cbrt-div` `add-log-exp`
3×	`pow-pow` `pow1/3` `pow-exp` `rem-cube-cbrt`
2×	`pow-to-exp` `rem-cbrt-cube`
1×	`cbrt-undiv` `div-exp`

Counts

4 → 539

Calls

4 calls:

63.0ms	(pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3)
27.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
25.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))
69.0ms	(cbrt (pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3))

series262.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3)
79.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
47.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))
56.0ms	(cbrt (pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3))

simplify747.0ms

Counts

551 → 551

Iterations

Useful iterations: done (720.0ms)

Iter	Nodes	Cost
0	343	15315
1	891	11067
2	2257	10231
done	5000	10223

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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	7	9
1	8	9
done	8	9

end0.0ms

sample302.0ms

Algorithm

intervals

Results

173.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid