Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	238×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	4×	body	160	valid

simplify297.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4
done	5001	4

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)) (+ x z))

rewrite29.0ms

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:

28.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify34.0ms

Counts

22 → 22

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185
done	5001	185

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite258.0ms

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:

179.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
22.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
24.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
22.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series978.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
237.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
226.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
233.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify73.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	506	3272
1	2014	3193
2	5001	3127
done	5001	3127

prune463.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

13332×	`cbrt-div`
7070×	`flip3-+` `flip-+`
6310×	`associate-*r/`
5940×	`frac-times`
5656×	`frac-add`
654×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `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 → 2605

Calls

4 calls:

237.0ms	(* (cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))) (cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))))
59.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
58.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
60.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

511.0ms	(* (cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))) (cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))))
408.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
401.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
419.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify1.8s

Counts

2617 → 2617

Iterations

Useful iterations: 1 (60.0ms)

Iter	Nodes	Cost
0	4786	223527
1	5001	223377
done	5001	223377

prune7.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

528×	`cbrt-div`
280×	`flip3-+` `flip-+`
248×	`associate-*r/`
224×	`frac-add`
144×	`frac-times`
24×	`associate-*l/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 228

Calls

4 calls:

61.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
61.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
60.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
63.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

417.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
416.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
416.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
422.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify101.0ms

Counts

240 → 240

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	507	9324
1	1409	9224
2	5001	9216
done	5001	9216

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

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	12	4
1	12	4
done	12	4

end0.0ms

sample406.0ms

Algorithm

intervals

Results

153.0ms	7398×	body	80	valid
15.0ms	177×	body	1280	valid
13.0ms	187×	body	640	valid
7.0ms	126×	body	320	valid
4.0ms	41×	body	2560	valid
3.0ms	79×	body	160	valid