Details

sample27.0ms

Algorithm

intervals

Results

11.0ms	238×	body	80	valid
2.0ms	8×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify318.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	61	11
3	145	9
4	224	9
5	229	9
done	229	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

27.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify1.2s

Counts

17 → 17

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	38	232
1	111	221
2	385	203
3	1904	203
done	5000	203

prune77.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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)))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify1.2s

Counts

16 → 16

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	34	225
1	113	212
2	426	194
3	1766	194
done	5000	194

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite217.0ms

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:

155.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))
12.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
19.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
20.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

424.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))
350.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
357.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
375.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))

simplify1.6s

Counts

107 → 107

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	136	2604
1	296	2409
2	779	2254
3	2406	2008
done	5000	1943

prune334.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

19.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
10.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
14.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
20.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

347.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
300.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
354.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
370.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))

simplify1.2s

Counts

68 → 68

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	71	1288
1	166	1244
2	429	1160
3	1452	1128
done	5000	1068

prune288.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
done	13	9

end0.0ms

sample815.0ms

Algorithm

intervals

Results

476.0ms	7407×	body	80	valid
35.0ms	186×	body	1280	valid
29.0ms	192×	body	640	valid
14.0ms	124×	body	320	valid
8.0ms	34×	body	2560	valid
5.0ms	66×	body	160	valid