Details

sample16.0ms

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

simplify97.0ms

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	189	9
done	189	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify1.5s

Counts

22 → 22

Iterations

Useful iterations: 3 (398.0ms)

Iter	Nodes	Cost
0	77	433
1	274	406
2	1025	388
3	4618	380
done	5000	380

prune63.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

26.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify872.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (192.0ms)

Iter	Nodes	Cost
0	43	280
1	137	234
2	494	212
3	2424	210
done	5000	210

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite140.0ms

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)))
12.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

317.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ z x))) (cbrt (+ (* 2 (+ x y)) (+ z x))))
247.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
253.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
249.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))

simplify537.0ms

Counts

151 → 151

Iterations

Useful iterations: done (531.0ms)

Iter	Nodes	Cost
0	239	6428
1	508	5916
2	1519	5770
done	5000	5608

prune723.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)))))

rewrite83.0ms

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:

12.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
12.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ z x))))
36.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ z x))) (cbrt (+ (* 2 (+ x y)) (+ z x)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
256.0ms	(cbrt (+ (* 2 (+ x y)) (+ z x)))
347.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ z x))))
421.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ z x))) (cbrt (+ (* 2 (+ x y)) (+ z x)))))

simplify549.0ms

Counts

123 → 123

Iterations

Useful iterations: done (543.0ms)

Iter	Nodes	Cost
0	346	6048
1	626	5623
2	1524	5513
done	5001	5347

prune592.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes105.0ms

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

sample373.0ms

Algorithm

intervals

Results

168.0ms	7423×	body	80	valid
18.0ms	185×	body	1280	valid
16.0ms	174×	body	640	valid
8.0ms	130×	body	320	valid
4.0ms	36×	body	2560	valid
2.0ms	61×	body	160	valid