Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	227×	body	80	valid
2.0ms	11×	body	1280	valid
1.0ms	9×	body	640	valid
1.0ms	4×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify4.7s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

28.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify1.9s

Counts

16 → 16

Iterations

Useful iterations: 2 (40.0ms)

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

prune75.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

13.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify2.0s

Counts

15 → 15

Iterations

Useful iterations: 2 (50.0ms)

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

prune53.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

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:

54.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
6.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
6.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
6.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

series2.0s

Counts

4 → 12

Calls

4 calls:

540.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
457.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
480.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
510.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	129	2000
1	290	1867
2	961	1749
done	5000	1635

prune405.0ms

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	(+ (* 1.5 x) (* 0.5 y))
0.3b	(* (* 1.5 x) (* 1.5 x))
3.3b	(- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y)))
28.5b	(/ (- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y))) (+ (* 1.5 x) (* 0.5 y)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`difference-of-squares`
4×	`pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`flip3--` `flip3-+` `pow-plus` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 94

Calls

4 calls:

13.0ms	(+ (* 1.5 x) (* 0.5 y))
34.0ms	(* (* 1.5 x) (* 1.5 x))
45.0ms	(- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y)))
115.0ms	(/ (- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y))) (+ (* 1.5 x) (* 0.5 y)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* 1.5 x) (* 0.5 y))
29.0ms	(* (* 1.5 x) (* 1.5 x))
64.0ms	(- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y)))
121.0ms	(/ (- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y))) (+ (* 1.5 x) (* 0.5 y)))

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	132	2111
1	378	1938
2	2258	1726
done	5000	1564

prune326.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes138.0ms

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	7	7
1	9	7
done	9	7

end0.0ms

sample520.0ms

Algorithm

intervals

Results

228.0ms	7379×	body	80	valid
28.0ms	54×	body	160	valid
22.0ms	234×	body	1280	valid
12.0ms	151×	body	640	valid
11.0ms	93×	body	2560	valid
5.0ms	91×	body	320	valid