Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y x) (+ y x))
0.1b	(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
18.1b	(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-cbrt-cube` `add-exp-log`
30×	`associate-*r/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*l/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-l` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`*-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 → 142

Calls

3 calls:

36.0ms	(* (+ y x) (+ y x))
106.0ms	(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
86.0ms	(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

series259.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (+ y x) (+ y x))
46.0ms	(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
196.0ms	(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

simplify424.0ms

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
1	859
0	222

prune666.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

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-r`
34×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`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 → 310

Calls

4 calls:

42.0ms	(/ x (+ (+ x y) 1.0))
13.0ms	(/ y (+ x y))
27.0ms	(/ (/ y (+ x y)) (+ x y))
159.0ms	(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

series479.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ x (+ (+ x y) 1.0))
66.0ms	(/ y (+ x y))
95.0ms	(/ (/ y (+ x y)) (+ x y))
253.0ms	(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

simplify543.0ms

Counts

322 → 322

Iterations

Iter	Nodes
done	5000
1	1094
0	336

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x (/ y (+ x y))) (+ x y))
0.0b	(/ y (+ x y))
0.1b	(/ (/ (* x (/ y (+ x y))) (+ x y)) (+ (+ x y) 1.0))
6.5b	(* x (/ y (+ x y)))

rewrite158.0ms

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:

29.0ms	(/ (* x (/ y (+ x y))) (+ x y))
14.0ms	(/ y (+ x y))
78.0ms	(/ (/ (* x (/ y (+ x y))) (+ x y)) (+ (+ x y) 1.0))
27.0ms	(* x (/ y (+ x y)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (* x (/ y (+ x y))) (+ x y))
47.0ms	(/ y (+ x y))
200.0ms	(/ (/ (* x (/ y (+ x y))) (+ x y)) (+ (+ x y) 1.0))
74.0ms	(* x (/ y (+ x y)))

simplify1.5s

Counts

196 → 196

Iterations

Iter	Nodes
done	5002
2	3845
1	659
0	231

prune847.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x y))
0.1b	(/ (* (* x (/ y (+ x y))) (/ 1 (+ y x))) (+ (+ x y) 1.0))
0.2b	(* (* x (/ y (+ x y))) (/ 1 (+ y x)))
6.5b	(* x (/ y (+ x y)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-exp-log`
62×	`*-un-lft-identity`
61×	`add-cbrt-cube`
42×	`times-frac` `prod-exp`
37×	`add-sqr-sqrt`
36×	`associate-r`
35×	`div-exp`
32×	`add-cube-cbrt`
22×	`cbrt-unprod`
19×	`cbrt-undiv`
16×	`distribute-lft-out`
11×	`pow1`
9×	`associate-/r*`
8×	`associate-/r/`
7×	`associate-*r/`
6×	`rec-exp` `1-exp`
4×	`flip3-+` `associate-l` `pow-prod-down` `flip-+` `div-inv` `associate-/l*` `add-log-exp` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `un-div-inv` `-commutative` `unswap-sqr`

Counts

4 → 168

Calls

4 calls:

9.0ms	(/ y (+ x y))
68.0ms	(/ (* (* x (/ y (+ x y))) (/ 1 (+ y x))) (+ (+ x y) 1.0))
67.0ms	(* (* x (/ y (+ x y))) (/ 1 (+ y x)))
38.0ms	(* x (/ y (+ x y)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ y (+ x y))
203.0ms	(/ (* (* x (/ y (+ x y))) (/ 1 (+ y x))) (+ (+ x y) 1.0))
102.0ms	(* (* x (/ y (+ x y))) (/ 1 (+ y x)))
91.0ms	(* x (/ y (+ x y)))

simplify479.0ms

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
1	799
0	244

prune769.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
2	12
1	11
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

819.0ms

8000×

body

valid