Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	238×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid

simplify135.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	39	7
5	50	7
6	78	7
7	127	7
8	147	7
9	165	7
10	177	7
11	189	7
done	189	7

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))

rewrite12.0ms

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:

12.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify810.0ms

Counts

16 → 16

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	216	157
3	637	157
4	2495	157
done	5001	157

prune29.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

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:

13.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
96.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

408.0ms	(cbrt (+ x (/ (- x y) 2.0)))
410.0ms	(cbrt (+ x (/ (- x y) 2.0)))
405.0ms	(cbrt (+ x (/ (- x y) 2.0)))
373.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: 3 (313.0ms)

Iter	Nodes	Cost
0	129	2124
1	266	1971
2	782	1841
3	2218	1650
done	5000	1650

prune239.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite570.0ms

Algorithm

rewrite-expression-head

Rules

390×	`cbrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
68×	`associate-*l/`
37×	`cbrt-prod`
26×	`associate-*r/`
20×	`*-un-lft-identity`
19×	`pow1/3`
15×	`pow1`
13×	`add-exp-log` `add-cube-cbrt`
12×	`add-sqr-sqrt`
9×	`pow-prod-down`
8×	`pow-prod-up`
7×	`associate-r`
6×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
4×	`distribute-lft-out` `add-log-exp`
2×	`pow-plus` `pow-sqr`
1×	`swap-sqr` `associate-l` `*-commutative`

Counts

4 → 162

Calls

4 calls:

520.0ms	(* (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts

4 → 12

Calls

4 calls:

403.0ms	(* (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (+ x (/ (- x y) 2.0))))
426.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
428.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
425.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify881.0ms

Counts

174 → 174

Iterations

Useful iterations: 2 (412.0ms)

Iter	Nodes	Cost
0	297	9430
1	702	8869
2	1798	7871
done	5000	7871

prune497.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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:

11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts

4 → 12

Calls

4 calls:

424.0ms	(cbrt (+ x (/ (- x y) 2.0)))
425.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
421.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
421.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify913.0ms

Counts

77 → 77

Iterations

Useful iterations: 4 (351.0ms)

Iter	Nodes	Cost
0	99	1289
1	201	1250
2	427	1170
3	1032	1151
4	3051	1082
done	5000	1082

prune229.0ms

Pruning

7 alts after pruning (4 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	6	7
1	7	7
done	7	7

end0.0ms

sample300.0ms

Algorithm

intervals

Results

138.0ms	7420×	body	80	valid
15.0ms	206×	body	1280	valid
9.0ms	159×	body	640	valid
7.0ms	79×	body	2560	valid
4.0ms	87×	body	320	valid
2.0ms	53×	body	160	valid