Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 42

Calls

1 calls:

24.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify2.0s

Counts

45 → 45

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	80	552
1	198	526
2	555	492
3	1313	492
4	3872	492
done	5000	492

prune76.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 156

Calls

2 calls:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (+ y 1.0) (+ x y))
32.0ms	(/ 1 (/ (+ y 1.0) (+ x y)))

simplify2.7s

Counts

162 → 162

Iterations

Useful iterations: 3 (964.0ms)

Iter	Nodes	Cost
0	197	2584
1	447	2185
2	1095	1960
3	3003	1928
done	5000	1928

prune171.0ms

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	(* (/ 1 (+ y 1.0)) (+ x y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`distribute-lft-out`
5×	`pow1`
4×	`flip3-+` `div-exp` `associate-r` `prod-exp` `associate-/r*` `associate-/r/` `flip-+`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `inv-pow`

Counts

2 → 88

Calls

2 calls:

14.0ms	(/ 1 (+ y 1.0))
43.0ms	(* (/ 1 (+ y 1.0)) (+ x y))

series55.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (+ y 1.0))
32.0ms	(* (/ 1 (+ y 1.0)) (+ x y))

simplify1.9s

Counts

94 → 94

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	146	1053
1	455	882
2	1313	790
3	3533	788
done	5000	786

prune139.0ms

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))

rewrite55.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

38.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series569.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
130.0ms	(cbrt (+ x y))
134.0ms	(cbrt (+ x y))
133.0ms	(cbrt (+ x y))

simplify2.3s

Counts

115 → 115

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	120	1316
1	257	1186
2	623	1128
3	1512	1051
4	4536	1045
done	5000	1042

prune308.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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

sample319.0ms

Algorithm

intervals

Results

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