Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	228×	body	80	valid
1.0ms	14×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	3×	body	160	valid

simplify4.4s

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	94	7
6	206	7
7	486	7
8	1272	7
9	4324	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:

34.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify2.2s

Counts

16 → 16

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	250	157
3	791	157
4	3874	157
done	5001	157

prune55.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

9.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify1.5s

Counts

15 → 15

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	29	174
1	88	169
2	274	155
3	883	155
4	2506	155
done	5002	155

prune38.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite228.0ms

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:

164.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
22.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

505.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
581.0ms	(cbrt (+ x (/ (- x y) 2.0)))
532.0ms	(cbrt (+ x (/ (- x y) 2.0)))
432.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify6.3s

Counts

107 → 107

Iterations

Useful iterations: done (6.3s)

Iter	Nodes	Cost
0	129	2124
1	285	1959
2	887	1841
3	4678	1659
done	5000	1643

prune335.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- x y) 2.0))
0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
13.0b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
27.5b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

22.0ms	(- x (/ (- x y) 2.0))
54.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
9.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
87.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- x (/ (- x y) 2.0))
39.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
49.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
130.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify428.0ms

Counts

183 → 183

Iterations

Useful iterations: done (420.0ms)

Iter	Nodes	Cost
0	260	4201
1	852	3868
done	5000	3586

prune498.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes121.0ms

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	7	7
1	9	7
done	9	7

end0.0ms

sample549.0ms

Algorithm

intervals

Results

269.0ms	7388×	body	80	valid
22.0ms	206×	body	1280	valid
14.0ms	161×	body	640	valid
14.0ms	108×	body	2560	valid
6.0ms	86×	body	320	valid
3.0ms	55×	body	160	valid