Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	17
1	36	17
2	130	17
3	411	17
4	1212	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
22.1b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 140

Calls

3 calls:

19.0ms	(* (+ x y) (+ x y))
61.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
38.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
41.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
158.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.5s

Counts

149 → 149

Iterations

Useful iterations: 2 (497.0ms)

Iter	Nodes	Cost
0	218	3333
1	802	3063
2	4418	2795
done	5000	2795

prune285.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 10.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
21.8b	(/ x (* (+ x y) (+ x y)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 170

Calls

4 calls:

19.0ms	(* (+ x y) (+ x y))
18.0ms	(/ y (+ (+ x y) 1.0))
74.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
44.0ms	(/ y (+ (+ x y) 1.0))
154.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
63.0ms	(/ x (* (+ x y) (+ x y)))

simplify1.2s

Counts

182 → 182

Iterations

Useful iterations: 2 (525.0ms)

Iter	Nodes	Cost
0	217	2873
1	649	2602
2	2731	2323
done	5000	2323

prune336.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

21.0ms	(/ y (+ (+ x y) 1.0))
6.0ms	(/ x (+ x y))
16.0ms	(/ (/ x (+ x y)) (+ x y))
102.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ y (+ (+ x y) 1.0))
39.0ms	(/ x (+ x y))
66.0ms	(/ (/ x (+ x y)) (+ x y))
164.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify1.4s

Counts

322 → 322

Iterations

Useful iterations: 2 (641.0ms)

Iter	Nodes	Cost
0	329	5641
1	979	5327
2	3208	4958
done	5001	4958

prune763.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
6.2b	(* (/ (/ x (+ x y)) (+ x y)) y)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity` `times-frac`
135×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
78×	`associate-l`
74×	`distribute-lft-out`
34×	`add-exp-log` `add-cbrt-cube`
26×	`associate-/r/`
22×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
13×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num` `unswap-sqr`
2×	`associate-*l/` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 276

Calls

4 calls:

5.0ms	(/ x (+ x y))
16.0ms	(/ (/ x (+ x y)) (+ x y))
31.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
48.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

series348.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (+ x y))
66.0ms	(/ (/ x (+ x y)) (+ x y))
158.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
81.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

simplify1.4s

Counts

288 → 288

Iterations

Useful iterations: 2 (598.0ms)

Iter	Nodes	Cost
0	300	4572
1	796	4296
2	2701	3955
done	5001	3955

prune485.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	11	17
done	11	17

end0.0ms

sample345.0ms

Algorithm

intervals

Results

222.0ms

8000×

body

valid