Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid

simplify86.0ms

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	60	7
7	83	7
8	103	7
9	118	7
10	124	7
11	127	7
done	127	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))

rewrite14.0ms

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:

13.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify883.0ms

Counts

16 → 16

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	215	157
3	622	157
4	2429	157
done	5000	157

prune36.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify905.0ms

Counts

15 → 15

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	29	174
1	88	169
2	268	155
3	752	155
4	1709	155
done	5000	155

prune29.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite143.0ms

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:

101.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
15.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.7s

Counts

4 → 12

Calls

4 calls:

404.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
422.0ms	(cbrt (+ x (/ (- x y) 2.0)))
416.0ms	(cbrt (+ x (/ (- x y) 2.0)))
415.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify843.0ms

Counts

107 → 107

Iterations

Useful iterations: 3 (291.0ms)

Iter	Nodes	Cost
0	129	2124
1	263	1959
2	667	1841
3	1926	1650
done	5001	1650

prune254.0ms

Pruning

7 alts after pruning (5 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)))
0.5b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite55.0ms

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:

12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
13.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
16.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts

4 → 12

Calls

4 calls:

437.0ms	(cbrt (+ x (/ (- x y) 2.0)))
441.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
427.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
427.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify1.0s

Counts

77 → 77

Iterations

Useful iterations: 4 (416.0ms)

Iter	Nodes	Cost
0	99	1289
1	201	1244
2	423	1170
3	1008	1151
4	2956	1082
done	5001	1082

prune220.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes117.0ms

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

sample305.0ms

Algorithm

intervals

Results

141.0ms	7409×	body	80	valid
15.0ms	202×	body	1280	valid
9.0ms	148×	body	640	valid
9.0ms	90×	body	2560	valid
5.0ms	99×	body	320	valid
2.0ms	56×	body	160	valid