Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	226×	body	80	valid
2.0ms	12×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	2560	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify376.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	66	11
3	206	9
4	392	9
5	428	9
done	428	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ z (* 2 (+ x y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

18.0ms

(+ x (+ z (* 2 (+ x y))))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ x (+ z (* 2 (+ x y))))

simplify1.4s

Counts

17 → 17

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	38	232
1	112	221
2	399	203
3	2286	203
done	5002	203

prune107.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

20.0ms

(+ (* 3 x) (+ z (* 2 y)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify1.3s

Counts

16 → 16

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	34	225
1	113	212
2	434	194
3	2088	194
done	5002	194

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

149.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
29.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
21.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
20.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

series1.6s

Counts

4 → 12

Calls

4 calls:

458.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
361.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
422.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
351.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

simplify4.7s

Counts

99 → 99

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	136	2456
1	327	2261
2	1037	2106
3	4849	1892
done	5001	1892

prune625.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.6b	(cbrt (+ (* 3 x) (+ z (* 2 y))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

22.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
19.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
11.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
11.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

365.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
359.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
360.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
389.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

simplify961.0ms

Counts

64 → 64

Iterations

Useful iterations: done (958.0ms)

Iter	Nodes	Cost
0	71	1240
1	174	1192
2	469	1108
3	1589	1076
done	5000	1016

prune462.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.0b 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	9	9
1	13	9
done	13	9

end0.0ms

sample807.0ms

Algorithm

intervals

Results

349.0ms	7411×	body	80	valid
61.0ms	167×	body	640	valid
32.0ms	196×	body	1280	valid
13.0ms	131×	body	320	valid
7.0ms	34×	body	2560	valid
5.0ms	71×	body	160	valid