Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	327×	body	80	valid
2.0ms	7×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	42	9
4	47	9
done	47	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

23.0ms	(+ (* x (+ y z)) (* z 5.0))
48.0ms	(* x (+ y z))

series101.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x (+ y z)) (* z 5.0))
44.0ms	(* x (+ y z))

simplify858.0ms

Counts

42 → 42

Iterations

Useful iterations: done (855.0ms)

Iter	Nodes	Cost
0	72	422
1	226	394
2	999	358
done	5000	356

prune242.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z x))
0.0b	(+ (+ (* x y) (* z x)) (* z 5.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

16.0ms	(+ (* x y) (* z x))
61.0ms	(+ (+ (* x y) (* z x)) (* z 5.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x y) (* z x))
48.0ms	(+ (+ (* x y) (* z x)) (* z 5.0))

simplify1.6s

Counts

30 → 30

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	55	437
1	184	339
2	861	315
done	5001	311

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ z y)) (* z 5.0))) (cbrt (+ (* x (+ z y)) (* z 5.0))))
0.5b	(cbrt (+ (* x (+ z y)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ z y)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ z y)) (* z 5.0)))

rewrite202.0ms

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:

141.0ms	(* (cbrt (+ (* x (+ z y)) (* z 5.0))) (cbrt (+ (* x (+ z y)) (* z 5.0))))
16.0ms	(cbrt (+ (* x (+ z y)) (* z 5.0)))
17.0ms	(cbrt (+ (* x (+ z y)) (* z 5.0)))
23.0ms	(cbrt (+ (* x (+ z y)) (* z 5.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

326.0ms	(* (cbrt (+ (* x (+ z y)) (* z 5.0))) (cbrt (+ (* x (+ z y)) (* z 5.0))))
237.0ms	(cbrt (+ (* x (+ z y)) (* z 5.0)))
221.0ms	(cbrt (+ (* x (+ z y)) (* z 5.0)))
236.0ms	(cbrt (+ (* x (+ z y)) (* z 5.0)))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	160	2774
1	418	2593
2	1543	2397
done	5000	2178

prune795.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ z y)) (* z 5.0)))
0.7b	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))
0.7b	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))
0.7b	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

23.0ms	(cbrt (+ (* x (+ z y)) (* z 5.0)))
18.0ms	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))
18.0ms	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))
23.0ms	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))

series916.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (+ (* x (+ z y)) (* z 5.0)))
219.0ms	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))
233.0ms	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))
227.0ms	(cbrt (cbrt (+ (* x (+ z y)) (* z 5.0))))

simplify784.0ms

Counts

73 → 73

Iterations

Useful iterations: done (779.0ms)

Iter	Nodes	Cost
0	127	1811
1	326	1761
2	971	1656
done	5000	1581

prune684.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes569.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
done	14	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

740.0ms	9752×	body	80	valid
78.0ms	107×	body	1280	valid
25.0ms	120×	body	640	valid
11.0ms	76×	body	320	valid
4.0ms	35×	body	160	valid