Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	234×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid

simplify153.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	45	7
6	49	7
7	58	7
8	74	7
9	90	7
10	101	7
11	103	7
12	107	7
13	108	7
done	108	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite30.0ms

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:

30.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify1.6s

Counts

16 → 16

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	244	157
3	682	157
4	3238	157
done	5002	157

prune55.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `flip3-+` `times-frac` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

131.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify954.0ms

Counts

23 → 23

Iterations

Useful iterations: 3 (347.0ms)

Iter	Nodes	Cost
0	66	371
1	162	356
2	472	338
3	1663	330
done	5000	330

prune72.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite299.0ms

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:

200.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
26.0ms	(cbrt (+ x (/ (- x y) 2.0)))
37.0ms	(cbrt (+ x (/ (- x y) 2.0)))
32.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.2s

Counts

4 → 12

Calls

4 calls:

538.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
453.0ms	(cbrt (+ x (/ (- x y) 2.0)))
574.0ms	(cbrt (+ x (/ (- x y) 2.0)))
603.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify3.1s

Counts

107 → 107

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	129	2124
1	263	1959
2	634	1841
3	1497	1650
4	4886	1594
done	5001	1535

prune313.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

22.0ms	(cbrt (+ x (/ (- x y) 2.0)))
32.0ms	(cbrt (+ x (/ (- x y) 2.0)))
27.0ms	(cbrt (+ x (/ (- x y) 2.0)))
31.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.2s

Counts

4 → 12

Calls

4 calls:

562.0ms	(cbrt (+ x (/ (- x y) 2.0)))
506.0ms	(cbrt (+ x (/ (- x y) 2.0)))
561.0ms	(cbrt (+ x (/ (- x y) 2.0)))
573.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.5s

Counts

68 → 68

Iterations

Useful iterations: 4 (567.0ms)

Iter	Nodes	Cost
0	68	1040
1	145	1004
2	318	936
3	780	908
4	2595	860
done	5001	860

prune282.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample549.0ms

Algorithm

intervals

Results

248.0ms	7367×	body	80	valid
34.0ms	79×	body	2560	valid
26.0ms	248×	body	1280	valid
13.0ms	162×	body	640	valid
6.0ms	92×	body	320	valid
2.0ms	56×	body	160	valid