Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3563
3	688
2	157
1	36
0	9

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite255.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 146

Calls

3 calls:

39.0ms	(* (+ x y) (+ x y))
144.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
61.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (+ x y) (+ x y))
48.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
201.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify448.0ms

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
1	1001
0	224

prune658.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite259.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 318

Calls

4 calls:

38.0ms	(/ y (+ x (+ y 1.0)))
10.0ms	(/ x (+ y x))
31.0ms	(/ (/ x (+ y x)) (+ y x))
155.0ms	(* (/ (/ x (+ y x)) (+ y x)) (/ y (+ x (+ y 1.0))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ y (+ x (+ y 1.0)))
55.0ms	(/ x (+ y x))
94.0ms	(/ (/ x (+ y x)) (+ y x))
244.0ms	(* (/ (/ x (+ y x)) (+ y x)) (/ y (+ x (+ y 1.0))))

simplify554.0ms

Counts

330 → 330

Iterations

Iter	Nodes
done	5001
1	1069
0	338

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
80×	`add-exp-log`
53×	`times-frac`
52×	`add-cbrt-cube`
48×	`add-sqr-sqrt`
39×	`associate-r`
36×	`add-cube-cbrt`
30×	`div-exp`
28×	`prod-exp`
27×	`distribute-lft-out`
18×	`cbrt-undiv`
16×	`cbrt-unprod`
13×	`associate-l`
10×	`associate-/r/`
9×	`associate-/r*`
8×	`pow1`
5×	`flip3-+` `flip-+` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-*r/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `un-div-inv` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*l/`

Counts

4 → 182

Calls

4 calls:

26.0ms	(/ y (+ x (+ y 1.0)))
28.0ms	(/ (* x (/ 1 (+ y x))) (+ y x))
151.0ms	(* (/ (* x (/ 1 (+ y x))) (+ y x)) (/ y (+ x (+ y 1.0))))
31.0ms	(* x (/ 1 (+ y x)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ y (+ x (+ y 1.0)))
78.0ms	(/ (* x (/ 1 (+ y x))) (+ y x))
206.0ms	(* (/ (* x (/ 1 (+ y x))) (+ y x)) (/ y (+ x (+ y 1.0))))
58.0ms	(* x (/ 1 (+ y x)))

simplify491.0ms

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
1	803
0	250

prune747.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y x))
0.1b	(/ (* (/ (/ x (+ y x)) (+ y x)) y) (+ (+ x y) 1.0))
0.1b	(/ (/ x (+ y x)) (+ y x))
8.2b	(* (/ (/ x (+ y x)) (+ y x)) y)

rewrite173.0ms

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-cbrt-cube` `add-exp-log`
26×	`associate-/r/`
22×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
13×	`associate-/r*` `flip3-+` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `unswap-sqr`
2×	`associate-*l/` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 284

Calls

4 calls:

9.0ms	(/ x (+ y x))
55.0ms	(/ (* (/ (/ x (+ y x)) (+ y x)) y) (+ (+ x y) 1.0))
33.0ms	(/ (/ x (+ y x)) (+ y x))
62.0ms	(* (/ (/ x (+ y x)) (+ y x)) y)

series509.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ x (+ y x))
247.0ms	(/ (* (/ (/ x (+ y x)) (+ y x)) y) (+ (+ x y) 1.0))
89.0ms	(/ (/ x (+ y x)) (+ y x))
107.0ms	(* (/ (/ x (+ y x)) (+ y x)) y)

simplify431.0ms

Counts

296 → 296

Iterations

Iter	Nodes
done	5000
1	882
0	311

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	12

end0.0ms

sample738.0ms

Algorithm

intervals

Results

486.0ms

8000×

body

valid