Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
7.8b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

16.0ms	(- 1.0 (/ y z))
46.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- 1.0 (/ y z))
82.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify2.9s

Counts

71 → 71

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	104	1002
1	221	974
2	570	928
3	1397	928
4	3891	927
done	5000	927

prune234.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

232×	`times-frac`
200×	`add-sqr-sqrt`
196×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
22×	`distribute-lft-out--`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

3 → 210

Calls

3 calls:

16.0ms	(- 1.0 (/ y z))
57.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
49.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series266.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- 1.0 (/ y z))
176.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
68.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify2.7s

Counts

219 → 219

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	254	4188
1	594	3692
2	1411	3375
3	3782	3331
done	5000	3331

prune361.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x y))
0.0b	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
0.2b	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
8.7b	(/ y (* (+ x y) z))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`times-frac`
28×	`add-cube-cbrt`
27×	`associate-/r/`
15×	`add-exp-log`
13×	`associate-/r*` `add-cbrt-cube`
12×	`flip3-+` `associate-*l/` `flip-+`
10×	`distribute-rgt-out--` `difference-of-squares`
9×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1` `div-exp` `distribute-lft-out--`
4×	`cbrt-undiv` `distribute-lft-out`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3--` `frac-sub` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `prod-exp` `cbrt-unprod` `inv-pow`

Counts

4 → 128

Calls

4 calls:

13.0ms	(/ 1.0 (+ x y))
72.0ms	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
129.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
13.0ms	(/ y (* (+ x y) z))

series554.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1.0 (+ x y))
187.0ms	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
208.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
106.0ms	(/ y (* (+ x y) z))

simplify3.1s

Counts

140 → 140

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	203	2317
1	412	2160
2	1041	2044
3	3773	2036
done	5000	2036

prune362.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
0.0b	(/ y (+ x y))
0.2b	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
2.0b	(/ (/ y (+ x y)) z)

rewrite526.0ms

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:

165.0ms	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
16.0ms	(/ y (+ x y))
296.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
36.0ms	(/ (/ y (+ x y)) z)

series534.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
66.0ms	(/ y (+ x y))
209.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
85.0ms	(/ (/ y (+ x y)) z)

simplify3.1s

Counts

227 → 227

Iterations

Useful iterations: 2 (459.0ms)

Iter	Nodes	Cost
0	307	4061
1	646	3780
2	1490	3652
3	4171	3652
done	5001	3652

prune706.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

84.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch51.0ms

Steps

Iters	Range		Point
9	2.1927299290011604e+49	1.5530038377043224e+54	2.211156237826686e+49
3	-1.620663769536734e+22	-1.1818218448352858e+22	-1.5383809086552126e+22

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	47
1	26	33
done	26	33

end0.0ms

sample1.0s

Algorithm

intervals

Results

643.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid