Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	234×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	2560	valid
0.0ms	2×	body	160	valid

simplify228.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

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:

37.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify1.8s

Counts

16 → 16

Iterations

Useful iterations: 2 (37.0ms)

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

prune43.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

17.0ms	(+ x (/ x 2.0))
103.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

series91.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (/ x 2.0))
59.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

simplify1.2s

Counts

38 → 38

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	70	494
1	171	464
2	510	446
3	1715	438
done	5001	436

prune105.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

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:

125.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
16.0ms	(cbrt (+ x (/ x 2.0)))
9.0ms	(cbrt (+ x (/ x 2.0)))
15.0ms	(cbrt (+ x (/ x 2.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

409.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
256.0ms	(cbrt (+ x (/ x 2.0)))
310.0ms	(cbrt (+ x (/ x 2.0)))
281.0ms	(cbrt (+ x (/ x 2.0)))

simplify2.5s

Counts

107 → 107

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	90	1610
1	177	1464
2	424	1378
3	964	1257
4	2963	1231
done	5000	1182

prune259.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
1.0b	(cbrt -1.5)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`neg-mul-1`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (- x))
12.0ms	(cbrt (+ x (/ x 2.0)))
17.0ms	(cbrt (+ x (/ x 2.0)))
1.0ms	(cbrt -1.5)

series779.0ms

Counts

4 → 10

Calls

4 calls:

218.0ms	(cbrt (- x))
245.0ms	(cbrt (+ x (/ x 2.0)))
316.0ms	(cbrt (+ x (/ x 2.0)))
0.0ms	(cbrt -1.5)

simplify1.3s

Counts

67 → 67

Iterations

Useful iterations: 4 (460.0ms)

Iter	Nodes	Cost
0	89	577
1	148	551
2	293	510
3	628	498
4	1956	494
done	5001	494

prune223.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.1b 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	6	7
1	7	7
done	7	7

end0.0ms

sample601.0ms

Algorithm

intervals

Results

291.0ms	7382×	body	80	valid
34.0ms	110×	body	2560	valid
24.0ms	203×	body	1280	valid
14.0ms	154×	body	640	valid
7.0ms	94×	body	320	valid
3.0ms	62×	body	160	valid