Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	241×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	11	8
done	11	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

19.0ms

(+ x (/ (fabs (- y x)) 2.0))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify1.0s

Counts

15 → 15

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	31	195
1	84	187
2	215	171
3	586	171
4	1712	171
done	5001	171

prune51.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite148.0ms

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:

101.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
79.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
80.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
69.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify883.0ms

Counts

107 → 107

Iterations

Useful iterations: done (876.0ms)

Iter	Nodes	Cost
0	160	2656
1	394	2458
2	1532	2330
done	5001	2117

prune357.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

24.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
86.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
81.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
69.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify672.0ms

Counts

77 → 77

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	146	1747
1	342	1697
2	1135	1619
done	5000	1556

prune406.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

16.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
11.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
10.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series304.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
63.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
93.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
85.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	102	1836
1	226	1788
2	707	1708
3	3040	1640
done	5001	1592

prune553.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes191.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample650.0ms

Algorithm

intervals

Results

342.0ms	7682×	body	80	valid
16.0ms	108×	body	1280	valid
11.0ms	79×	body	640	valid
10.0ms	56×	body	2560	valid
5.0ms	44×	body	320	valid
2.0ms	34×	body	160	valid