Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	226×	body	80	valid
1.0ms	11×	body	1280	valid
1.0ms	8×	body	640	valid
1.0ms	6×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	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))

rewrite3.0ms

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify2.0s

Counts

15 → 15

Iterations

Useful iterations: 2 (22.0ms)

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

prune40.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

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)))

rewrite22.0ms

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

series1.2s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
311.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
303.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
298.0ms	(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

prune302.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.1b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.1b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.3b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

2.0ms	(- x (* (/ 3.0 8.0) y))
2.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
20.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (* (/ 3.0 8.0) y))
94.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
93.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
33.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	112	2076
1	222	1469
2	648	1365
3	2167	1306
done	5000	1304

prune235.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.1b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.2b	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (pow (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) 3))
0.4b	(pow (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) 3)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
32×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-r` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`flip3--` `associate-l` `flip--`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `pow1/2` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 150

Calls

4 calls:

2.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
38.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (pow (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) 3))
5.0ms	(pow (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) 3)

series552.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
93.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
32.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (pow (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) 3))
335.0ms	(pow (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) 3)

simplify895.0ms

Counts

162 → 162

Iterations

Useful iterations: done (884.0ms)

Iter	Nodes	Cost
0	194	3995
1	484	3483
2	1698	2581
done	5000	2574

prune356.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes162.0ms

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

sample319.0ms

Algorithm

intervals

Results

147.0ms	7387×	body	80	valid
18.0ms	219×	body	1280	valid
10.0ms	159×	body	640	valid
10.0ms	101×	body	2560	valid
4.0ms	82×	body	320	valid
2.0ms	52×	body	160	valid