Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	243
1	36	243
2	153	243
3	647	243
4	3221	243
done	5001	243

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.5b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-cbrt-cube` `add-exp-log`
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` `clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 140

Calls

3 calls:

44.0ms	(* (+ x y) (+ x y))
114.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
58.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (+ x y) (+ x y))
66.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
231.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.1s

Counts

149 → 149

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	218	70605
1	980	50002
done	5002	49682

prune561.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
15.3b	(/ x (* (+ x y) (+ x y)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 170

Calls

4 calls:

30.0ms	(/ y (+ (+ x y) 1.0))
27.0ms	(* (+ x y) (+ x y))
147.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
16.0ms	(/ x (* (+ x y) (+ x y)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ y (+ (+ x y) 1.0))
16.0ms	(* (+ x y) (+ x y))
178.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
87.0ms	(/ x (* (+ x y) (+ x y)))

simplify987.0ms

Counts

182 → 182

Iterations

Useful iterations: done (965.0ms)

Iter	Nodes	Cost
0	217	50940
1	733	42534
done	5000	41211

prune714.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ 1 (+ x y)) (/ x (+ x y)))
0.1b	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
103×	`add-exp-log`
73×	`times-frac`
65×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
48×	`add-cube-cbrt`
42×	`prod-exp`
39×	`associate-r`
35×	`div-exp`
31×	`distribute-lft-out`
22×	`cbrt-unprod`
19×	`cbrt-undiv` `associate-l`
11×	`pow1`
10×	`associate-/r/`
9×	`associate-/r*`
6×	`frac-times` `rec-exp` `1-exp` `associate-l/` `associate-/l` `unswap-sqr`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow-prod-down` `associate-*r/` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`

Counts

4 → 203

Calls

4 calls:

13.0ms	(/ x (+ x y))
42.0ms	(/ y (+ (+ x y) 1.0))
65.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
135.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ x (+ x y))
51.0ms	(/ y (+ (+ x y) 1.0))
67.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
206.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify1.2s

Counts

215 → 215

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	266	63812
1	888	54581
done	5001	48950

prune783.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (* y (/ x (+ x y))) (+ x y))
0.0b	(/ (/ (* y (/ x (+ x y))) (+ x y)) (+ (+ x y) 1.0))
8.3b	(* y (/ x (+ x y)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

132×	`*-un-lft-identity`
103×	`times-frac`
52×	`add-sqr-sqrt`
48×	`distribute-lft-out`
47×	`add-cube-cbrt`
34×	`add-cbrt-cube` `add-exp-log`
20×	`associate-/r/`
18×	`associate-r`
14×	`cbrt-undiv` `div-exp` `associate-/l*`
13×	`associate-/r*`
10×	`flip3-+` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `unswap-sqr` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 184

Calls

4 calls:

9.0ms	(/ x (+ x y))
17.0ms	(/ (* y (/ x (+ x y))) (+ x y))
49.0ms	(/ (/ (* y (/ x (+ x y))) (+ x y)) (+ (+ x y) 1.0))
26.0ms	(* y (/ x (+ x y)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ x (+ x y))
107.0ms	(/ (* y (/ x (+ x y))) (+ x y))
188.0ms	(/ (/ (* y (/ x (+ x y))) (+ x y)) (+ (+ x y) 1.0))
56.0ms	(* y (/ x (+ x y)))

simplify2.3s

Counts

196 → 196

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	232	61878
1	661	54917
2	3847	54074
done	5001	54074

prune779.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	243
1	12	243
done	12	243

end0.0ms

sample1000.0ms

Algorithm

intervals

Results

793.0ms

8000×

body

valid