Details

sample20.0ms

Algorithm

intervals

Results

5.0ms	58×	body	640	valid
3.0ms	137×	body	80	valid
3.0ms	37×	body	320	valid
1.0ms	24×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	162
1	9	162
2	12	162
done	12	162

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `frac-sub` `flip-+` `flip--`

Counts

2 → 58

Calls

2 calls:

9.0ms	(/ 1.0 (+ x 1.0))
58.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ 1.0 (+ x 1.0))
75.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.5s

Counts

64 → 64

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	120	18297
1	286	15148
2	823	14743
3	3543	14703
done	5002	14703

prune242.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
1.9b	(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`

Counts

2 → 38

Calls

2 calls:

20.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
6.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series65.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
14.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify1.8s

Counts

44 → 44

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	96	14782
1	297	12754
2	1267	10833
done	5008	10311

prune183.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- 1.0) (* (+ x 1.0) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`times-frac` `associate-/l*`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube` `add-exp-log`
2×	`cbrt-undiv` `neg-mul-1` `div-exp` `associate-*l/` `associate-/r/`
1×	`neg-sub0` `pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `div-sub` `prod-exp` `distribute-frac-neg` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

19.0ms

(/ (- 1.0) (* (+ x 1.0) x))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(/ (- 1.0) (* (+ x 1.0) x))

simplify1.7s

Counts

42 → 42

Iterations

Useful iterations: 2 (250.0ms)

Iter	Nodes	Cost
0	102	11293
1	258	9434
2	818	9031
done	5000	9031

prune163.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0) (+ x 1.0))
0.1b	(/ (/ (- 1.0) (+ x 1.0)) x)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

338×	`times-frac`
269×	`*-un-lft-identity`
167×	`add-sqr-sqrt` `add-cube-cbrt`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
56×	`associate-/l*`
51×	`distribute-lft-out`
21×	`neg-mul-1`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 274

Calls

2 calls:

12.0ms	(/ (- 1.0) (+ x 1.0))
55.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

series111.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- 1.0) (+ x 1.0))
61.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

simplify2.4s

Counts

280 → 280

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	363	108015
1	858	97969
2	2241	96402
done	5000	96202

prune983.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	162
1	9	162
2	11	162
done	11	162

end0.0ms

sample1.2s

Algorithm

intervals

Results

668.0ms	1883×	body	640	valid
202.0ms	1293×	body	320	valid
154.0ms	4192×	body	80	valid
79.0ms	633×	body	160	valid