Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify143.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	17	9
2	28	9
3	41	9
4	54	9
5	65	9
6	77	9
7	89	9
8	96	9
9	104	9
10	105	9
11	107	9
12	108	9
done	108	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

43.0ms

(/ (- x y) (- 2.0 (+ x y)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify1.2s

Counts

63 → 63

Iterations

Useful iterations: 3 (422.0ms)

Iter	Nodes	Cost
0	114	1010
1	284	965
2	745	923
3	2060	921
done	5000	921

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0b	(/ x (- 2.0 (+ x y)))

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

1352×	`*-un-lft-identity`
946×	`times-frac`
843×	`add-sqr-sqrt`
576×	`prod-diff`
517×	`add-cube-cbrt`
335×	`distribute-lft-out--`
161×	`distribute-lft-out` `difference-of-squares`
106×	`associate-/r/`
54×	`flip3--` `flip--`
53×	`div-inv`
24×	`fma-neg`
12×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 722

Calls

3 calls:

32.0ms	(/ y (- 2.0 (+ x y)))
270.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
32.0ms	(/ x (- 2.0 (+ x y)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ y (- 2.0 (+ x y)))
81.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
52.0ms	(/ x (- 2.0 (+ x y)))

simplify1.9s

Counts

731 → 731

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	580	44551
1	1296	39894
2	2839	30752
done	5000	22997

prune656.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
0.0b	(/ (- 2.0 (+ x y)) x)
0.9b	(/ 1 (/ (- 2.0 (+ x y)) x))

rewrite801.0ms

Algorithm

rewrite-expression-head

Rules

4475×	`times-frac`
4436×	`*-un-lft-identity`
3073×	`add-sqr-sqrt`
2124×	`add-cube-cbrt`
1704×	`prod-diff`
923×	`distribute-lft-out--`
468×	`difference-of-squares`
459×	`distribute-lft-out`
179×	`div-inv`
170×	`associate-/r/`
74×	`flip3--` `flip--`
71×	`fma-neg`
31×	`associate-/r*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/l*`
9×	`div-exp`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `frac-sub` `inv-pow`

Counts

4 → 2006

Calls

4 calls:

29.0ms	(/ y (- 2.0 (+ x y)))
375.0ms	(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
52.0ms	(/ (- 2.0 (+ x y)) x)
39.0ms	(/ 1 (/ (- 2.0 (+ x y)) x))

series207.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ y (- 2.0 (+ x y)))
77.0ms	(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
28.0ms	(/ (- 2.0 (+ x y)) x)
52.0ms	(/ 1 (/ (- 2.0 (+ x y)) x))

simplify2.3s

Counts

2018 → 2018

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	1322	139257
1	2860	119770
2	4760	88539
done	5000	88539

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.1b	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
7.1b	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

258×	`*-un-lft-identity`
180×	`add-sqr-sqrt`
150×	`times-frac`
83×	`distribute-lft-out--`
78×	`cbrt-prod`
72×	`unpow-prod-down` `cube-prod`
66×	`add-cube-cbrt`
57×	`difference-of-squares`
26×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `associate-/r*` `flip--`
5×	`div-inv` `associate-/l*`
4×	`pow1`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `rem-cbrt-cube`

Counts

3 → 244

Calls

3 calls:

42.0ms	(/ (- x y) (- 2.0 (+ x y)))
45.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
42.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series211.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- x y) (- 2.0 (+ x y)))
91.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
61.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify1.0s

Counts

253 → 253

Iterations

Useful iterations: 2 (413.0ms)

Iter	Nodes	Cost
0	252	5383
1	733	4567
2	2274	4278
done	5000	4278

prune401.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	9	15
done	9	15

end0.0ms

sample590.0ms

Algorithm

intervals

Results

419.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid