Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	66×	body	640	valid
4.0ms	135×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	20×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite134.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

21.0ms	(/ 1.0 (+ x 1.0))
109.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series91.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1.0 (+ x 1.0))
64.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify731.0ms

Counts

64 → 64

Iterations

Useful iterations: done (729.0ms)

Iter	Nodes	Cost
0	120	810
1	285	766
2	1122	724
done	5000	718

prune212.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
3.4b	(- x (+ x 1.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

47.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
16.0ms	(- x (+ x 1.0))

series72.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
13.0ms	(- x (+ x 1.0))

simplify1.7s

Counts

48 → 48

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	105	719
1	323	576
2	2494	444
done	5002	442

prune102.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
10×	`associate-/r/`
7×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`div-inv` `distribute-lft-out`
5×	`flip3-+` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `distribute-lft-neg-out` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 87

Calls

2 calls:

23.0ms	(/ (* (- 1.0) 1.0) (+ x 1.0))
35.0ms	(/ (/ (* (- 1.0) 1.0) (+ x 1.0)) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (* (- 1.0) 1.0) (+ x 1.0))
55.0ms	(/ (/ (* (- 1.0) 1.0) (+ x 1.0)) x)

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	169	1463
1	471	1376
2	3047	1256
done	5002	1242

prune276.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- x 1.0))
0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(/ (/ (* (- 1.0) 1.0) (- (* x x) (* 1.0 1.0))) (/ x (- x 1.0)))
0.6b	(/ (* (- 1.0) 1.0) (- (* x x) (* 1.0 1.0)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

482×	`times-frac`
233×	`add-sqr-sqrt` `*-un-lft-identity`
159×	`add-cube-cbrt`
71×	`associate-/r/`
62×	`difference-of-squares`
37×	`distribute-lft-out--`
36×	`flip3--` `flip--` `div-inv`
32×	`add-exp-log` `add-cbrt-cube`
30×	`associate-/r*`
16×	`cbrt-undiv` `div-exp`
14×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `distribute-frac-neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`distribute-lft-neg-out`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

4 → 342

Calls

4 calls:

12.0ms	(/ x (- x 1.0))
16.0ms	(- (* x x) (* 1.0 1.0))
80.0ms	(/ (/ (* (- 1.0) 1.0) (- (* x x) (* 1.0 1.0))) (/ x (- x 1.0)))
43.0ms	(/ (* (- 1.0) 1.0) (- (* x x) (* 1.0 1.0)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ x (- x 1.0))
66.0ms	(- (* x x) (* 1.0 1.0))
125.0ms	(/ (/ (* (- 1.0) 1.0) (- (* x x) (* 1.0 1.0))) (/ x (- x 1.0)))
87.0ms	(/ (* (- 1.0) 1.0) (- (* x x) (* 1.0 1.0)))

simplify1.3s

Counts

354 → 354

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	566	10688
1	1988	10198
done	5000	9682

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	13	10
3	15	10
done	15	10

end0.0ms

sample915.0ms

Algorithm

intervals

Results

305.0ms	1888×	body	640	valid
184.0ms	4257×	body	80	valid
157.0ms	1186×	body	320	valid
87.0ms	670×	body	160	valid