Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.9b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite312.0ms

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:

54.0ms	(* (+ x y) (+ x y))
158.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
87.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (+ x y) (+ x y))
65.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
188.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify993.0ms

Counts

149 → 149

Iterations

Iter	Nodes
done	5002
1	980
0	218

prune567.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.6b

localize16.0ms

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)))
21.1b	(/ x (* (+ x y) (+ x y)))

rewrite212.0ms

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))
37.0ms	(* (+ x y) (+ x y))
118.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.0ms	(/ x (* (+ x y) (+ x y)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ y (+ (+ x y) 1.0))
17.0ms	(* (+ x y) (+ x y))
243.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
84.0ms	(/ x (* (+ x y) (+ x y)))

simplify910.0ms

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
1	733
0	217

prune740.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite300.0ms

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-cbrt-cube` `add-exp-log`
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×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

10.0ms	(/ x (+ x y))
35.0ms	(/ y (+ (+ x y) 1.0))
33.0ms	(/ (/ x (+ x y)) (+ x y))
197.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ x (+ x y))
52.0ms	(/ y (+ (+ x y) 1.0))
68.0ms	(/ (/ x (+ x y)) (+ x y))
207.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify1.2s

Counts

322 → 322

Iterations

Iter	Nodes
done	5000
1	1035
0	329

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

411×	`*-un-lft-identity`
351×	`times-frac`
177×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
143×	`distribute-lft-out`
90×	`associate-r`
34×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/r/`
27×	`associate-/l*`
18×	`associate-l`
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×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 334

Calls

4 calls:

14.0ms	(/ x (+ x y))
24.0ms	(/ y (+ 1.0 (+ x y)))
170.0ms	(* (/ x (+ x y)) (/ (/ y (+ 1.0 (+ x y))) (+ x y)))
58.0ms	(/ (/ y (+ 1.0 (+ x y))) (+ x y))

series511.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ x (+ x y))
79.0ms	(/ y (+ 1.0 (+ x y)))
229.0ms	(* (/ x (+ x y)) (/ (/ y (+ 1.0 (+ x y))) (+ x y)))
132.0ms	(/ (/ y (+ 1.0 (+ x y))) (+ x y))

simplify1.2s

Counts

346 → 346

Iterations

Iter	Nodes
done	5000
1	1121
0	339

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample729.0ms

Algorithm

intervals

Results

523.0ms

8000×

body

valid