Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	46×	body	640	valid
7.0ms	141×	body	80	valid
6.0ms	42×	body	320	valid
3.0ms	27×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	18
2	18
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
3.0b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
69×	`times-frac`
32×	`add-cube-cbrt`
27×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate-/r*` `add-exp-log`
10×	`distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`difference-of-sqr-1` `div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 128

Calls

3 calls:

8.0ms	(/ 1 (+ x 1))
8.0ms	(/ 1 (- x 1))
37.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (+ x 1))
15.0ms	(/ 1 (- x 1))
79.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify791.0ms

Counts

137 → 137

Iterations

Iter	Nodes
3	2050
2	962
1	391
0	185

prune836.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (+ x -2) x) (+ (* x x) -1))
2.2b	(- (+ x -2) x)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--`
7×	`difference-of-sqr--1` `add-log-exp`
6×	`distribute-lft-out` `associate-/l*` `difference-of-squares`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`pow1` `flip3--` `diff-log` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `div-exp` `associate--l+` `flip-+` `div-inv`

Counts

2 → 70

Calls

2 calls:

66.0ms	(/ (- (+ x -2) x) (+ (* x x) -1))
21.0ms	(- (+ x -2) x)

series43.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- (+ x -2) x) (+ (* x x) -1))
8.0ms	(- (+ x -2) x)

simplify2.2s

Counts

76 → 76

Iterations

Iter	Nodes
3	4691
2	1084
1	323
0	128

prune447.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -2 (+ x 1))
0.1b	(/ (/ -2 (+ x 1)) (- x 1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
207×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`distribute-lft-out`
21×	`associate-/l*`
20×	`associate-/r/`
19×	`difference-of-sqr-1` `distribute-lft-out--`
11×	`associate-/r*`
10×	`div-inv`
9×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 203

Calls

2 calls:

7.0ms	(/ -2 (+ x 1))
19.0ms	(/ (/ -2 (+ x 1)) (- x 1))

series79.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ -2 (+ x 1))
48.0ms	(/ (/ -2 (+ x 1)) (- x 1))

simplify3.6s

Counts

209 → 209

Iterations

Iter	Nodes
3	5141
2	1687
1	677
0	281

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ 2 (- 1 (* x x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
11×	`add-cube-cbrt`
8×	`difference-of-squares`
5×	`associate-/r*`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

17.0ms

(/ 2 (- 1 (* x x)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(/ 2 (- 1 (* x x)))

simplify2.2s

Counts

41 → 41

Iterations

Iter	Nodes
4	3851
3	1247
2	484
1	200
0	98

prune245.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

682.0ms	1933×	body	640	valid
538.0ms	674×	body	160	valid
325.0ms	4122×	body	80	valid
260.0ms	1271×	body	320	valid