Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid

simplify105.0ms

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	48	7
6	53	7
7	62	7
8	78	7
9	99	7
10	110	7
11	112	7
12	116	7
13	119	7
done	119	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 (/ (- x y) 2.0))

rewrite13.0ms

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))

simplify1.1s

Counts

16 → 16

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	215	157
3	612	157
4	2386	157
done	5000	157

prune29.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 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:

3.0ms

(- (* 1.5 x) (* 0.5 y))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (* 1.5 x) (* 0.5 y))

simplify1.4s

Counts

15 → 15

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	29	174
1	88	169
2	268	155
3	742	155
4	1672	155
done	5000	155

prune26.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

rewrite33.0ms

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:

3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
2.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
2.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
23.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

430.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
431.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
430.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
397.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

simplify2.2s

Counts

99 → 99

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	129	2000
1	268	1867
2	702	1749
3	1770	1582
4	4026	1526
done	5000	1526

prune245.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
0.5b	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
1.0b	(pow (cbrt (cbrt (- (* 1.5 x) (* 0.5 y)))) 5)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
3.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
3.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
7.0ms	(pow (cbrt (cbrt (- (* 1.5 x) (* 0.5 y)))) 5)

series2.4s

Counts

4 → 12

Calls

4 calls:

411.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
847.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
434.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
745.0ms	(pow (cbrt (cbrt (- (* 1.5 x) (* 0.5 y)))) 5)

simplify1.0s

Counts

81 → 81

Iterations

Useful iterations: done (998.0ms)

Iter	Nodes	Cost
0	164	1429
1	371	1375
2	891	1277
3	2162	1257
done	5000	1253

prune247.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes67.0ms

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	9	7
done	9	7

end0.0ms

sample311.0ms

Algorithm

intervals

Results

139.0ms	7354×	body	80	valid
19.0ms	233×	body	1280	valid
11.0ms	174×	body	640	valid
8.0ms	86×	body	2560	valid
5.0ms	109×	body	320	valid
2.0ms	46×	body	160	valid