Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
2	14	9
done	14	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize7.0ms

Local error

Found 1 expressions with local error:

8.3b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

56.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify2.8s

Counts

53 → 53

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	95	835
1	204	812
2	547	776
3	1371	776
4	3954	775
done	5000	775

prune165.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.3b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
194×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
89×	`add-cube-cbrt`
42×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
21×	`distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 195

Calls

2 calls:

69.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
66.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series206.0ms

Counts

2 → 6

Calls

2 calls:

154.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
52.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify2.6s

Counts

201 → 201

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	245	4021
1	570	3530
2	1326	3223
3	3527	3179
done	5000	3179

prune334.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x y))
0.0b	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
0.2b	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
3.0b	(/ (/ y (+ x y)) z)

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

215×	`times-frac`
186×	`add-sqr-sqrt`
168×	`*-un-lft-identity`
81×	`add-cube-cbrt`
30×	`difference-of-squares`
24×	`associate-/l*`
21×	`distribute-lft-out`
19×	`associate-/r*`
15×	`add-exp-log` `distribute-lft-out--`
13×	`associate-/r/` `add-cbrt-cube`
7×	`div-inv`
6×	`div-exp` `add-log-exp`
5×	`pow1` `cbrt-undiv` `flip3-+` `flip-+`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `frac-sub` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-/l/` `inv-pow`

Counts

4 → 215

Calls

4 calls:

16.0ms	(/ y (+ x y))
143.0ms	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
213.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
42.0ms	(/ (/ y (+ x y)) z)

series459.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ y (+ x y))
174.0ms	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
154.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
79.0ms	(/ (/ y (+ x y)) z)

simplify2.9s

Counts

227 → 227

Iterations

Useful iterations: 2 (465.0ms)

Iter	Nodes	Cost
0	307	4061
1	646	3780
2	1492	3652
3	4170	3652
done	5000	3652

prune706.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z))
0.2b	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z)))
0.2b	(/ 1 (/ (+ x y) y))
3.0b	(/ (/ 1 (/ (+ x y) y)) z)

rewrite893.0ms

Algorithm

rewrite-expression-head

Rules

831×	`times-frac`
536×	`add-sqr-sqrt`
502×	`*-un-lft-identity`
296×	`add-cube-cbrt`
60×	`difference-of-squares`
59×	`associate-/l*`
58×	`distribute-lft-out`
39×	`associate-/r*`
38×	`add-exp-log`
33×	`div-inv`
25×	`distribute-lft-out--`
23×	`div-exp`
20×	`add-cbrt-cube`
10×	`cbrt-undiv`
8×	`associate-/r/`
6×	`pow1` `add-log-exp`
5×	`rec-exp` `1-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `pow-flip` `frac-sub` `flip--` `inv-pow`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

4 → 456

Calls

4 calls:

264.0ms	(- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z))
492.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z)))
20.0ms	(/ 1 (/ (+ x y) y))
50.0ms	(/ (/ 1 (/ (+ x y) y)) z)

series534.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z))
201.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z)))
71.0ms	(/ 1 (/ (+ x y) y))
104.0ms	(/ (/ 1 (/ (+ x y) y)) z)

simplify2.4s

Counts

468 → 468

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	605	10109
1	1323	8715
2	2396	7705
done	5000	7593

prune830.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

89.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch80.0ms

Steps

Iters	Range		Point
9	5.766119314407482e+38	5.74409469758143e+47	2.1140046859011662e+43
8	-536332218.7459359	-34576.49081739624	-164807406.99402395

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	51
1	27	35
done	27	35

end0.0ms

sample745.0ms

Algorithm

intervals

Results

417.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid