Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify41.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
24.2b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite324.0ms

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:

55.0ms	(* (+ x y) (+ x y))
171.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
90.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (+ x y) (+ x y))
51.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
212.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify41.0ms

Counts: 149 → 149

prune383.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 9.6b

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)))
20.9b	(/ x (* (+ x y) (+ x y)))

rewrite300.0ms

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:

54.0ms	(* (+ x y) (+ x y))
53.0ms	(/ y (+ (+ x y) 1.0))
170.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
16.0ms	(/ x (* (+ x y) (+ x y)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
65.0ms	(/ y (+ (+ x y) 1.0))
231.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
72.0ms	(/ x (* (+ x y) (+ x y)))

simplify86.0ms

Counts: 182 → 182

prune403.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite354.0ms

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:

18.0ms	(/ x (+ x y))
48.0ms	(/ y (+ (+ x y) 1.0))
47.0ms	(/ (/ x (+ x y)) (+ x y))
211.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ x (+ x y))
72.0ms	(/ y (+ (+ x y) 1.0))
86.0ms	(/ (/ x (+ x y)) (+ x y))
208.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify139.0ms

Counts: 322 → 322

prune888.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
0.1b	(/ (/ x (+ x y)) (+ x y))
8.6b	(* (/ (/ x (+ x y)) (+ x y)) y)

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity` `times-frac`
135×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
78×	`associate-l`
74×	`distribute-lft-out`
34×	`add-exp-log` `add-cbrt-cube`
26×	`associate-/r/`
22×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
13×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num` `unswap-sqr`
2×	`associate-*l/` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 276

Calls

4 calls:

20.0ms	(/ x (+ x y))
115.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
57.0ms	(/ (/ x (+ x y)) (+ x y))
138.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

series508.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ x (+ x y))
237.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
122.0ms	(/ (/ x (+ x y)) (+ x y))
96.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

simplify85.0ms

Counts: 288 → 288

prune731.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes41.0ms

Accuracy

-9521.6% (15.3b remaining)

Error of 15.3b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify42.0ms

end0.0ms

sample816.0ms

Algorithm

intervals

Results

542.0ms

8000×

body

valid