Details

sample61.0ms

Algorithm

intervals

Results

20.0ms	66×	body	640	valid
12.0ms	53×	body	320	valid
10.0ms	118×	body	80	valid
8.0ms	19×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	18
2	18
1	15
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
2.6b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite118.0ms

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:

16.0ms	(/ 1 (+ x 1))
16.0ms	(/ 1 (- x 1))
82.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (+ x 1))
27.0ms	(/ 1 (- x 1))
104.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify977.0ms

Counts

137 → 137

Iterations

Iter	Nodes
3	2050
2	962
1	391
0	185

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (+ x -2) x) (+ (* x x) -1))
1.7b	(- (+ x -2) x)

rewrite146.0ms

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:

100.0ms	(/ (- (+ x -2) x) (+ (* x x) -1))
45.0ms	(- (+ x -2) x)

series48.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- (+ x -2) x) (+ (* x x) -1))
7.0ms	(- (+ x -2) x)

simplify2.5s

Counts

76 → 76

Iterations

Iter	Nodes
3	4691
2	1084
1	323
0	128

prune576.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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))
36.0ms	(/ (/ -2 (+ x 1)) (- x 1))

series68.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/ -2 (+ x 1))
52.0ms	(/ (/ -2 (+ x 1)) (- x 1))

simplify4.0s

Counts

209 → 209

Iterations

Iter	Nodes
3	5141
2	1687
1	677
0	281

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ -2 (+ (* x x) -1))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`difference-of-sqr--1` `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` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

14.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify848.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2146
2	579
1	195
0	90

prune193.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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

sample2.0s

Algorithm

intervals

Results

1.0s	1920×	body	640	valid
366.0ms	4190×	body	80	valid
319.0ms	1265×	body	320	valid
139.0ms	625×	body	160	valid