Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify780.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

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

rewrite373.0ms

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:

44.0ms	(* (+ x y) (+ x y))
185.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
133.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series334.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (+ x y) (+ x y))
59.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
253.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify558.0ms

Counts: 149 → 149

prune488.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.9b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

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:

42.0ms	(* (+ x y) (+ x y))
66.0ms	(/ y (+ (+ x y) 1.0))
181.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.0ms	(/ x (* (+ x y) (+ x y)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (+ x y) (+ x y))
62.0ms	(/ y (+ (+ x y) 1.0))
221.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
94.0ms	(/ x (* (+ x y) (+ x y)))

simplify1.7s

Counts: 182 → 182

prune459.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite431.0ms

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:

23.0ms	(/ x (+ x y))
72.0ms	(/ y (+ (+ x y) 1.0))
45.0ms	(/ (/ x (+ x y)) (+ x y))
259.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ x (+ x y))
69.0ms	(/ y (+ (+ x y) 1.0))
112.0ms	(/ (/ x (+ x y)) (+ x y))
239.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify1.7s

Counts: 322 → 322

prune861.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x y) 1.0))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (* (/ (/ x (+ x y)) (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
7.0b	(* (/ (/ x (+ x y)) (+ x y)) y)

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

297×	`*-un-lft-identity`
285×	`times-frac`
143×	`add-sqr-sqrt`
134×	`add-cube-cbrt`
85×	`distribute-lft-out`
82×	`add-exp-log`
79×	`associate-l`
52×	`add-cbrt-cube`
31×	`prod-exp`
28×	`div-exp`
26×	`associate-/r/`
24×	`associate-r`
21×	`associate-/l*`
17×	`cbrt-undiv` `cbrt-unprod`
13×	`flip3-+` `flip-+` `div-inv`
12×	`pow1`
9×	`associate-/r*`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `pow-flip` `associate-*r/` `un-div-inv` `associate-/l/` `inv-pow`

Counts

4 → 312

Calls

4 calls:

59.0ms	(/ 1 (+ (+ x y) 1.0))
46.0ms	(/ (/ x (+ x y)) (+ x y))
213.0ms	(* (* (/ (/ x (+ x y)) (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
108.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

series546.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ 1 (+ (+ x y) 1.0))
92.0ms	(/ (/ x (+ x y)) (+ x y))
252.0ms	(* (* (/ (/ x (+ x y)) (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
135.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

simplify1.7s

Counts: 324 → 324

prune733.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes68.0ms

Accuracy

64.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0s

end0.0ms

sample829.0ms

Algorithm

intervals

Results

546.0ms

8000×

body

valid