Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	243×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify217.0ms

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

localize6.0ms

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))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify2.1s

Counts

16 → 16

Iterations

Useful iterations: 2 (43.0ms)

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

prune42.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite113.0ms

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:

112.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify949.0ms

Counts

23 → 23

Iterations

Useful iterations: 3 (246.0ms)

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

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))
0.0b	(sqrt (+ x (/ (- x y) 2.0)))
0.0b	(sqrt (+ x (/ (- x y) 2.0)))
0.3b	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r-` `pow-plus` `sqrt-unprod` `div-sub` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

34.0ms	(+ x (/ (- x y) 2.0))
56.0ms	(sqrt (+ x (/ (- x y) 2.0)))
71.0ms	(sqrt (+ x (/ (- x y) 2.0)))
249.0ms	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (/ (- x y) 2.0))
141.0ms	(sqrt (+ x (/ (- x y) 2.0)))
118.0ms	(sqrt (+ x (/ (- x y) 2.0)))
43.0ms	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

simplify1.4s

Counts

119 → 119

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	114	2202
1	232	1538
2	631	1434
3	1854	1375
done	5000	1349

prune280.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
9.2b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
27.6b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite158.0ms

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:

58.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
21.0ms	(- x (/ (- x y) 2.0))
10.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
60.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
61.0ms	(- x (/ (- x y) 2.0))
56.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
133.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify2.6s

Counts

183 → 183

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	260	4201
1	736	3842
2	2728	3324
done	5001	3038

prune539.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

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	9
1	8	9
done	8	9

end0.0ms

sample622.0ms

Algorithm

intervals

Results

272.0ms	7357×	body	80	valid
47.0ms	159×	body	640	valid
28.0ms	218×	body	1280	valid
17.0ms	117×	body	2560	valid
7.0ms	102×	body	320	valid
3.0ms	47×	body	160	valid