Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

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))
19.4b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite216.0ms

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:

28.0ms	(* (+ x y) (+ x y))
110.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
71.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series324.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (+ x y) (+ x y))
59.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
237.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify436.0ms

Counts

149 → 149

Iterations

Iter	Nodes
done	5002
1	980
0	218

prune558.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y x) (+ y x))
0.0b	(/ y (+ (+ y x) 1.0))
0.1b	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
17.6b	(/ x (* (+ y x) (+ y x)))

rewrite280.0ms

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:

50.0ms	(* (+ y x) (+ y x))
28.0ms	(/ y (+ (+ y x) 1.0))
177.0ms	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
13.0ms	(/ x (* (+ y x) (+ y x)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ y x) (+ y x))
65.0ms	(/ y (+ (+ y x) 1.0))
249.0ms	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
82.0ms	(/ x (* (+ y x) (+ y x)))

simplify453.0ms

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
1	734
0	218

prune857.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

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:

40.0ms	(/ y (+ (+ y x) 1.0))
9.0ms	(/ x (+ x y))
32.0ms	(/ (/ x (+ x y)) (+ y x))
151.0ms	(* (/ (/ x (+ x y)) (+ y x)) (/ y (+ (+ y x) 1.0)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ y (+ (+ y x) 1.0))
72.0ms	(/ x (+ x y))
110.0ms	(/ (/ x (+ x y)) (+ y x))
262.0ms	(* (/ (/ x (+ x y)) (+ y x)) (/ y (+ (+ y x) 1.0)))

simplify584.0ms

Counts

322 → 322

Iterations

Iter	Nodes
done	5000
1	1105
0	349

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite313.0ms

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:

43.0ms	(/ y (+ 1.0 (+ y x)))
17.0ms	(/ x (+ x y))
143.0ms	(* (/ x (+ x y)) (/ (/ y (+ 1.0 (+ y x))) (+ y x)))
91.0ms	(/ (/ y (+ 1.0 (+ y x))) (+ y x))

series542.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ y (+ 1.0 (+ y x)))
61.0ms	(/ x (+ x y))
255.0ms	(* (/ x (+ x y)) (/ (/ y (+ 1.0 (+ y x))) (+ y x)))
162.0ms	(/ (/ y (+ 1.0 (+ y x))) (+ y x))

simplify656.0ms

Counts

346 → 346

Iterations

Iter	Nodes
done	5001
1	1166
0	353

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
2	17
1	16
0	12

end0.0ms

sample790.0ms

Algorithm

intervals

Results

539.0ms

8000×

body

valid