Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

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

rewrite203.0ms

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:

26.0ms	(* (+ y x) (+ y x))
123.0ms	(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
48.0ms	(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

series287.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (+ y x) (+ y x))
61.0ms	(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
207.0ms	(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

simplify382.0ms

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
1	859
0	222

prune710.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite288.0ms

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:

9.0ms	(/ y (+ x y))
39.0ms	(/ x (+ (+ x y) 1.0))
38.0ms	(/ (/ y (+ x y)) (+ x y))
188.0ms	(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ y (+ x y))
59.0ms	(/ x (+ (+ x y) 1.0))
102.0ms	(/ (/ y (+ x y)) (+ x y))
272.0ms	(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

simplify500.0ms

Counts

322 → 322

Iterations

Iter	Nodes
done	5001
1	1094
0	336

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y x))
0.0b	(/ (* x (/ y (+ y x))) (+ y x))
0.0b	(/ (/ (* x (/ y (+ y x))) (+ y x)) (+ (+ x y) 1.0))
7.5b	(* x (/ y (+ y x)))

rewrite185.0ms

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:

14.0ms	(/ y (+ y x))
18.0ms	(/ (* x (/ y (+ y x))) (+ y x))
94.0ms	(/ (/ (* x (/ y (+ y x))) (+ y x)) (+ (+ x y) 1.0))
45.0ms	(* x (/ y (+ y x)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ y (+ y x))
106.0ms	(/ (* x (/ y (+ y x))) (+ y x))
260.0ms	(/ (/ (* x (/ y (+ y x))) (+ y x)) (+ (+ x y) 1.0))
65.0ms	(* x (/ y (+ y x)))

simplify1.9s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	3871
1	672
0	234

prune954.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (* (* x (/ (/ y (+ y x)) (- y x))) (- y x)) (+ y x)) (+ (+ x y) 1.0))
0.1b	(/ (/ y (+ y x)) (- y x))
8.3b	(* x (/ (/ y (+ y x)) (- y x)))
15.8b	(* (* x (/ (/ y (+ y x)) (- y x))) (- y x))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

389×	`times-frac`
364×	`*-un-lft-identity`
240×	`add-sqr-sqrt`
155×	`add-cube-cbrt`
101×	`associate-r`
72×	`distribute-lft-out`
59×	`add-cbrt-cube` `add-exp-log`
40×	`associate-/r/`
38×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/l*`
23×	`cbrt-undiv` `div-exp`
20×	`div-inv`
18×	`flip3-+` `flip-+`
17×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`associate-/r*`
6×	`associate-*r/`
4×	`flip3--` `associate-l` `pow-prod-down` `flip--` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `*-commutative` `associate-/l/`
1×	`associate-*l/`

Counts

4 → 371

Calls

4 calls:

148.0ms	(/ (/ (* (* x (/ (/ y (+ y x)) (- y x))) (- y x)) (+ y x)) (+ (+ x y) 1.0))
26.0ms	(/ (/ y (+ y x)) (- y x))
55.0ms	(* x (/ (/ y (+ y x)) (- y x)))
126.0ms	(* (* x (/ (/ y (+ y x)) (- y x))) (- y x))

series571.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(/ (/ (* (* x (/ (/ y (+ y x)) (- y x))) (- y x)) (+ y x)) (+ (+ x y) 1.0))
93.0ms	(/ (/ y (+ y x)) (- y x))
115.0ms	(* x (/ (/ y (+ y x)) (- y x)))
93.0ms	(* (* x (/ (/ y (+ y x)) (- y x))) (- y x))

simplify901.0ms

Counts

383 → 383

Iterations

Iter	Nodes
done	5001
1	1477
0	472

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
2	13
1	12
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

979.0ms

8000×

body

valid