Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	231×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	57	9
3	134	9
4	184	9
5	190	9
6	196	9
7	230	9
8	248	9
9	267	9
10	338	9
11	422	9
12	760	9
13	3127	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

12.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify1.8s

Counts

22 → 22

Iterations

Useful iterations: 3 (393.0ms)

Iter	Nodes	Cost
0	77	433
1	274	406
2	1031	388
3	4646	380
done	5000	380

prune65.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`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 → 14

Calls

1 calls:

23.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify974.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (253.0ms)

Iter	Nodes	Cost
0	43	280
1	136	262
2	506	212
3	2427	210
done	5001	210

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

95.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ z x))) (cbrt (+ (* 2 (+ x y)) (+ z x))))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
14.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ z x))) (cbrt (+ (* 2 (+ x y)) (+ z x))))
242.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
259.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
267.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))

simplify648.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	239	6428
1	508	5916
2	1720	5770
done	5000	5770

prune527.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

156×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*l/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 111

Calls

4 calls:

11.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
14.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
12.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ z x))))
31.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ z x))) (cbrt (+ (* 2 (+ x y)) (+ z x)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
266.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
350.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ z x))))
437.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ z x))) (cbrt (+ (* 2 (+ x y)) (+ z x)))))

simplify561.0ms

Counts

123 → 123

Iterations

Useful iterations: done (555.0ms)

Iter	Nodes	Cost
0	346	6048
1	626	5623
2	1558	5513
done	5000	5347

prune573.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes112.0ms

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	11
1	14	11
done	14	11

end0.0ms

sample371.0ms

Algorithm

intervals

Results

167.0ms	7423×	body	80	valid
21.0ms	185×	body	1280	valid
13.0ms	174×	body	640	valid
8.0ms	130×	body	320	valid
4.0ms	36×	body	2560	valid
2.0ms	61×	body	160	valid