Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify32.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	24	7
3	35	7
4	42	7
5	48	7
6	51	7
done	51	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

2.0ms

(- x (* (/ 3.0 8.0) y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- x (* (/ 3.0 8.0) y))

simplify1.9s

Counts

15 → 15

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	32	172
1	81	165
2	254	151
3	900	151
4	3222	151
done	5001	151

prune35.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite21.0ms

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:

14.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
273.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
261.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.4s

Counts

99 → 99

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	119	1968
1	238	1825
2	625	1711
3	1767	1540
done	5000	1534

prune259.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
270.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
270.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
273.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	64	976
1	137	948
2	352	884
3	1045	848
4	3257	808
done	5000	808

prune235.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

517.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
281.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
273.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	64	976
1	137	948
2	352	884
3	1045	848
4	3257	808
done	5000	808

prune228.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes168.0ms

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	7
1	8	7
done	8	7

end0.0ms

sample315.0ms

Algorithm

intervals

Results

141.0ms	7399×	body	80	valid
18.0ms	224×	body	1280	valid
10.0ms	152×	body	640	valid
10.0ms	98×	body	2560	valid
8.0ms	91×	body	320	valid
1.0ms	36×	body	160	valid