Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	231×	body	80	valid
1.0ms	11×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3
done	226	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

21.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify74.0ms

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74
done	5001	74

prune31.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

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:

162.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
21.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.6s

Counts

4 → 12

Calls

4 calls:

390.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
394.0ms	(cbrt (+ x (/ (- x y) 2.0)))
390.0ms	(cbrt (+ x (/ (- x y) 2.0)))
388.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify66.0ms

Counts

107 → 107

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	263	1109
1	751	1044
2	2594	956
3	5002	940
done	5002	940

prune248.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
24×	`cbrt-prod`
14×	`flip3-+` `flip-+`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`
2×	`distribute-lft-out`

Counts

4 → 68

Calls

4 calls:

44.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
44.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
23.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
20.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

398.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
399.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
412.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
415.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify92.0ms

Counts

80 → 80

Iterations

Useful iterations: 4 (82.0ms)

Iter	Nodes	Cost
0	244	1148
1	503	1084
2	1186	1076
3	3924	1054
4	5001	1044
done	5001	1044

prune304.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.9b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
26×	`cbrt-div`
17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`unpow-prod-down`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `distribute-lft-out`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
46.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
22.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
41.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

series1.8s

Counts

4 → 12

Calls

4 calls:

407.0ms	(cbrt (+ x (/ (- x y) 2.0)))
398.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
409.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
602.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

simplify121.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	440	1001
1	1162	934
2	4028	903
3	5001	891
done	5001	891

prune283.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.1b 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	3
1	7	3
done	7	3

end0.0ms

sample343.0ms

Algorithm

intervals

Results

119.0ms	7342×	body	80	valid
20.0ms	250×	body	1280	valid
13.0ms	111×	body	2560	valid
12.0ms	154×	body	640	valid
4.0ms	87×	body	320	valid
2.0ms	60×	body	160	valid