Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	15	11
2	22	11
3	25	11
4	26	11
done	26	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

6.9b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

20.0ms

(/ y (+ 1.0 (/ (* x y) 2.0)))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (425.0ms)

Iter	Nodes	Cost
0	89	584
1	208	565
2	587	519
3	1723	517
done	5000	517

prune101.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.8b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

2 → 121

Calls

2 calls:

32.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
48.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series151.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
68.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.8s

Counts

127 → 127

Iterations

Useful iterations: 3 (748.0ms)

Iter	Nodes	Cost
0	189	2414
1	429	2119
2	971	1898
3	2507	1872
done	5000	1872

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ y (/ 2.0 x))
0.3b	(/ 1 (/ (+ (/ y (/ 2.0 x)) 1.0) y))
6.8b	(/ (+ (/ y (/ 2.0 x)) 1.0) y)

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

183×	`times-frac`
135×	`*-un-lft-identity`
103×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`associate-/r*`
21×	`add-exp-log`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
11×	`div-exp` `div-inv`
10×	`associate-/l*`
7×	`cbrt-undiv`
4×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`rec-exp` `1-exp` `associate-/r/` `associate-/l/`
1×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

3 → 191

Calls

3 calls:

10.0ms	(/ y (/ 2.0 x))
64.0ms	(/ 1 (/ (+ (/ y (/ 2.0 x)) 1.0) y))
121.0ms	(/ (+ (/ y (/ 2.0 x)) 1.0) y)

series151.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ y (/ 2.0 x))
73.0ms	(/ 1 (/ (+ (/ y (/ 2.0 x)) 1.0) y))
58.0ms	(/ (+ (/ y (/ 2.0 x)) 1.0) y)

simplify1.4s

Counts

200 → 200

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	322	3294
1	708	2930
2	2044	2675
done	5001	2643

prune509.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
3.6b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
13.7b	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log` `add-cbrt-cube`
38×	`add-sqr-sqrt`
37×	`times-frac`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
25×	`associate-l`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
12×	`pow1` `associate-r`
8×	`difference-of-squares`
7×	`swap-sqr`
6×	`div-inv`
4×	`flip3--` `associate-/r*` `associate-/r/` `flip--`
3×	`frac-times` `associate-r/` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `distribute-lft-out--`

Counts

3 → 136

Calls

3 calls:

43.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
21.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
86.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series575.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
348.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
188.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify2.0s

Counts

145 → 145

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	248	3485
1	667	3196
2	2622	2752
done	5001	2182

prune366.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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	9	11
1	11	11
done	11	11

end0.0ms

sample779.0ms

Algorithm

intervals

Results

498.0ms	7995×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	2560	valid