Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify170.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

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:

63.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: 3 (476.0ms)

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

prune153.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite365.0ms

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:

31.0ms	(/ x (- 2.0 (+ x y)))
280.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
50.0ms	(/ y (- 2.0 (+ x y)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ x (- 2.0 (+ x y)))
97.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
49.0ms	(/ y (- 2.0 (+ x y)))

simplify1.6s

Counts

125 → 125

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	176	1863
1	376	1776
2	853	1702
3	1905	1692
done	5000	1682

prune317.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 2.0 (+ x y)) y)
0.0b	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
0.0b	(/ x (- 2.0 (+ x y)))
0.2b	(/ 1 (/ (- 2.0 (+ x y)) y))

rewrite518.0ms

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:

62.0ms	(/ (- 2.0 (+ x y)) y)
346.0ms	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
42.0ms	(/ x (- 2.0 (+ x y)))
47.0ms	(/ 1 (/ (- 2.0 (+ x y)) y))

series318.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (- 2.0 (+ x y)) y)
98.0ms	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
81.0ms	(/ x (- 2.0 (+ x y)))
96.0ms	(/ 1 (/ (- 2.0 (+ x y)) y))

simplify3.0s

Counts

235 → 235

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	310	4055
1	704	3584
2	1602	3245
3	4462	3187
done	5001	3187

prune558.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
0.0b	(/ y (- 2.0 (+ x y)))
0.1b	(pow (/ x (- 2.0 (+ x y))) 3)
19.3b	(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

rewrite870.0ms

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:

690.0ms	(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
61.0ms	(/ y (- 2.0 (+ x y)))
44.0ms	(pow (/ x (- 2.0 (+ x y))) 3)
52.0ms	(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

series367.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
58.0ms	(/ y (- 2.0 (+ x y)))
98.0ms	(pow (/ x (- 2.0 (+ x y))) 3)
91.0ms	(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

simplify2.1s

Counts

213 → 213

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	289	4218
1	716	3520
2	2041	3265
done	5000	3234

prune554.0ms

Pruning

4 alts after pruning (1 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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample704.0ms

Algorithm

intervals

Results

396.0ms	7995×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	640	valid