Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify174.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

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` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

41.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: 3 (487.0ms)

Iter	Nodes	Cost
0	112	990
1	276	951
2	712	905
3	1924	903
done	5000	903

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
64×	`times-frac`
59×	`add-sqr-sqrt`
41×	`distribute-lft-out--`
27×	`add-cube-cbrt`
14×	`distribute-lft-out` `difference-of-squares`
12×	`associate-/r*`
8×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 116

Calls

3 calls:

48.0ms	(/ x (- 2.0 (+ x y)))
47.0ms	(/ y (- 2.0 (+ x y)))
330.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series219.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ x (- 2.0 (+ x y)))
64.0ms	(/ y (- 2.0 (+ x y)))
97.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify1.5s

Counts

125 → 125

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	176	1863
1	376	1776
2	852	1702
3	1905	1692
done	5001	1682

prune292.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
38×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
14×	`add-exp-log` `distribute-lft-out--`
10×	`add-cbrt-cube`
7×	`distribute-lft-out` `difference-of-squares`
6×	`associate-/r*`
5×	`pow1` `add-log-exp`
4×	`prod-exp` `associate-/r/`
3×	`flip3--` `associate-r/` `div-exp` `associate-l` `un-div-inv` `flip--` `div-inv` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-sub` `cbrt-unprod` `sub-div`
1×	`sub-neg` `rec-exp` `distribute-rgt-out--` `frac-2neg` `diff-log` `1-exp` `pow-prod-down` `clear-num` `*-commutative`

Counts

3 → 105

Calls

3 calls:

30.0ms	(/ x (- 2.0 (+ x y)))
173.0ms	(- (/ x (- 2.0 (+ x y))) (* y (/ 1 (- 2.0 (+ x y)))))
80.0ms	(* y (/ 1 (- 2.0 (+ x y))))

series198.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ x (- 2.0 (+ x y)))
86.0ms	(- (/ x (- 2.0 (+ x y))) (* y (/ 1 (- 2.0 (+ x y)))))
55.0ms	(* y (/ 1 (- 2.0 (+ x y))))

simplify1.9s

Counts

114 → 114

Iterations

Useful iterations: 3 (740.0ms)

Iter	Nodes	Cost
0	190	1577
1	438	1335
2	993	1221
3	2509	1205
done	5000	1205

prune212.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ 1 (- 2.0 (+ x y))))
0.5b	(cbrt (/ 1 (- 2.0 (+ x y))))
0.5b	(cbrt (/ 1 (- 2.0 (+ x y))))
0.6b	(* (cbrt (/ 1 (- 2.0 (+ x y)))) (cbrt (/ 1 (- 2.0 (+ x y)))))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

277×	`*-un-lft-identity`
232×	`cbrt-prod`
178×	`times-frac`
172×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
66×	`distribute-lft-out--`
47×	`swap-sqr`
33×	`distribute-lft-out`
27×	`associate-r` `associate-l`
21×	`difference-of-squares`
16×	`unswap-sqr`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div` `flip3--` `flip--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 237

Calls

4 calls:

25.0ms	(cbrt (/ 1 (- 2.0 (+ x y))))
23.0ms	(cbrt (/ 1 (- 2.0 (+ x y))))
24.0ms	(cbrt (/ 1 (- 2.0 (+ x y))))
202.0ms	(* (cbrt (/ 1 (- 2.0 (+ x y)))) (cbrt (/ 1 (- 2.0 (+ x y)))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (/ 1 (- 2.0 (+ x y))))
114.0ms	(cbrt (/ 1 (- 2.0 (+ x y))))
137.0ms	(cbrt (/ 1 (- 2.0 (+ x y))))
149.0ms	(* (cbrt (/ 1 (- 2.0 (+ x y)))) (cbrt (/ 1 (- 2.0 (+ x y)))))

simplify1.7s

Counts

249 → 249

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	248	5571
1	468	4685
2	1009	4591
3	2156	4146
done	5000	4102

prune627.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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	7	9
1	8	9
done	8	9

end0.0ms

sample715.0ms

Algorithm

intervals

Results

432.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid