Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify55.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
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` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 140

Calls

3 calls:

36.0ms	(* (+ x y) (+ x y))
122.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
107.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* (+ x y) (+ x y))
64.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
199.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify36.0ms

Counts: 149 → 149

prune394.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.8b	(/ x (* (+ x y) (+ x y)))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 170

Calls

4 calls:

61.0ms	(/ y (+ (+ x y) 1.0))
49.0ms	(* (+ x y) (+ x y))
162.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
23.0ms	(/ x (* (+ x y) (+ x y)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ y (+ (+ x y) 1.0))
23.0ms	(* (+ x y) (+ x y))
216.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
92.0ms	(/ x (* (+ x y) (+ x y)))

simplify86.0ms

Counts: 182 → 182

prune401.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite358.0ms

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-exp-log` `add-cbrt-cube`
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×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

53.0ms	(/ y (+ (+ x y) 1.0))
13.0ms	(/ x (+ x y))
45.0ms	(/ (/ x (+ x y)) (+ x y))
216.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ y (+ (+ x y) 1.0))
65.0ms	(/ x (+ x y))
96.0ms	(/ (/ x (+ x y)) (+ x y))
227.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify104.0ms

Counts: 322 → 322

prune720.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-exp-log`
92×	`*-un-lft-identity`
70×	`times-frac`
64×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
47×	`add-cube-cbrt`
42×	`prod-exp`
39×	`associate-r`
36×	`div-exp`
23×	`distribute-lft-out`
22×	`cbrt-unprod`
19×	`cbrt-undiv` `associate-l`
12×	`pow1`
10×	`associate-/r/`
8×	`associate-/r*`
7×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
6×	`associate-/l*` `unswap-sqr`
5×	`flip3-+` `flip-+` `div-inv`
4×	`associate-*r/` `pow-prod-down` `add-log-exp`
3×	`un-div-inv`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 206

Calls

4 calls:

12.0ms	(/ 1 (+ x y))
12.0ms	(/ x (+ x y))
54.0ms	(* (/ x (+ x y)) (/ 1 (+ x y)))
185.0ms	(* (* (/ x (+ x y)) (/ 1 (+ x y))) (/ y (+ (+ x y) 1.0)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (+ x y))
47.0ms	(/ x (+ x y))
69.0ms	(* (/ x (+ x y)) (/ 1 (+ x y)))
198.0ms	(* (* (/ x (+ x y)) (/ 1 (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify103.0ms

Counts: 218 → 218

prune402.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify79.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

763.0ms

8000×

body

valid