Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify2.1s

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: 21.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.1b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite290.0ms

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:

53.0ms	(* (+ x y) (+ x y))
149.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
82.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series331.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (+ x y) (+ x y))
75.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
239.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify539.0ms

Counts

149 → 149

Iterations

Iter	Nodes
done	5002
1	980
0	218

prune661.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ y x) 1.0))
0.0b	(* (+ y x) (+ y x))
0.1b	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
17.3b	(/ x (* (+ y x) (+ y x)))

rewrite310.0ms

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:

54.0ms	(/ y (+ (+ y x) 1.0))
43.0ms	(* (+ y x) (+ y x))
175.0ms	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
25.0ms	(/ x (* (+ y x) (+ y x)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ y (+ (+ y x) 1.0))
27.0ms	(* (+ y x) (+ y x))
272.0ms	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
87.0ms	(/ x (* (+ y x) (+ y x)))

simplify490.0ms

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
1	734
0	218

prune655.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
62×	`times-frac`
54×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
38×	`add-cbrt-cube` `add-exp-log`
30×	`distribute-lft-out`
21×	`associate-r`
18×	`associate-l`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
10×	`associate-/r/`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 167

Calls

4 calls:

8.0ms	(/ x (+ x y))
39.0ms	(/ y (+ (+ x y) 1.0))
107.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
73.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series580.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ x (+ x y))
91.0ms	(/ y (+ (+ x y) 1.0))
196.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
219.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify2.5s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
2	4798
1	667
0	214

prune812.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite286.0ms

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:

9.0ms	(/ x (+ x y))
46.0ms	(/ y (+ (+ y x) 1.0))
22.0ms	(/ (/ x (+ x y)) (+ x y))
187.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ y x) 1.0)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ x (+ x y))
63.0ms	(/ y (+ (+ y x) 1.0))
97.0ms	(/ (/ x (+ x y)) (+ x y))
246.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ y x) 1.0)))

simplify606.0ms

Counts

322 → 322

Iterations

Iter	Nodes
done	5000
1	1051
0	331

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
2	18
1	17
0	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

905.0ms

8000×

body

valid