Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
4×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

23.0ms

(/ (+ x y) (+ y 1.0))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (+ x y) (+ y 1.0))

simplify1.9s

Counts

43 → 43

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	78	536
1	192	511
2	524	477
3	1178	477
4	3174	477
done	5001	477

prune64.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 152

Calls

2 calls:

23.0ms	(/ (+ y 1.0) (+ x y))
24.0ms	(/ 1 (/ (+ y 1.0) (+ x y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (+ y 1.0) (+ x y))
33.0ms	(/ 1 (/ (+ y 1.0) (+ x y)))

simplify1.7s

Counts

158 → 158

Iterations

Useful iterations: 3 (743.0ms)

Iter	Nodes	Cost
0	193	2548
1	437	2153
2	1057	1932
3	2799	1900
done	5000	1900

prune152.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`distribute-lft-out`
5×	`pow1`
4×	`flip3-+` `div-exp` `associate-l` `prod-exp` `associate-/r*` `associate-/r/` `flip-+`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 83

Calls

2 calls:

11.0ms	(/ 1 (+ y 1.0))
44.0ms	(* (+ x y) (/ 1 (+ y 1.0)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 1 (+ y 1.0))
39.0ms	(* (+ x y) (/ 1 (+ y 1.0)))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: 3 (793.0ms)

Iter	Nodes	Cost
0	133	1006
1	345	820
2	1034	728
3	2727	726
done	5000	726

prune122.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

35.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))

series554.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
128.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))
131.0ms	(cbrt (+ x y))

simplify2.2s

Counts

107 → 107

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	116	1266
1	248	1147
2	589	1089
3	1409	1020
4	4129	1006
done	5000	967

prune264.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample307.0ms

Algorithm

intervals

Results

139.0ms	7998×	body	80	valid
0.0ms	2×	body	1280	valid