Details

sample31.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify215.0ms

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

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

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:

54.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify1.2s

Counts

61 → 61

Iterations

Useful iterations: 3 (529.0ms)

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

prune124.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)))

rewrite403.0ms

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:

47.0ms	(/ y (- 2.0 (+ x y)))
292.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
52.0ms	(/ x (- 2.0 (+ x y)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ y (- 2.0 (+ x y)))
93.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
67.0ms	(/ x (- 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	855	1702
3	1906	1692
done	5000	1682

prune273.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
0.2b	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
0.2b	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
0.2b	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

1319×	`*-un-lft-identity`
513×	`distribute-lft-out--`
484×	`times-frac`
313×	`cbrt-prod`
149×	`add-sqr-sqrt`
138×	`distribute-lft-out`
100×	`swap-sqr`
52×	`cbrt-div`
42×	`difference-of-squares`
29×	`add-cube-cbrt`
28×	`associate-/r/`
27×	`flip3--` `flip--`
26×	`associate-r` `associate-l`
21×	`distribute-rgt-out--`
16×	`frac-times`
14×	`div-inv`
13×	`frac-sub` `sub-div`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 303

Calls

4 calls:

1.4s	(* (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
194.0ms	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
219.0ms	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
172.0ms	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
274.0ms	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
291.0ms	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
309.0ms	(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

simplify2.4s

Counts

315 → 315

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	277	11746
1	517	10659
2	1282	10312
3	2816	8629
done	5000	8498

prune906.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- 2.0 (+ x y)))
0.1b	(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.1b	(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
4.0b	(/ (- (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y)))) (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (+ (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

738×	`*-un-lft-identity`
438×	`times-frac`
254×	`add-sqr-sqrt`
164×	`distribute-lft-out--`
154×	`add-cube-cbrt`
147×	`distribute-lft-out`
84×	`swap-sqr`
58×	`difference-of-squares`
48×	`associate-r` `associate-l`
41×	`associate-/r/`
32×	`add-exp-log` `add-cbrt-cube`
25×	`associate-/r*`
20×	`flip3--` `flip--` `div-inv`
18×	`pow1`
16×	`associate-/l/`
15×	`distribute-rgt-out`
12×	`associate-r/` `associate-l/`
10×	`cbrt-undiv` `frac-times` `div-exp`
9×	`frac-sub`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
7×	`associate-/l*`
5×	`sub-div`
4×	`add-log-exp`
2×	`pow2` `frac-2neg` `pow-plus` `pow-prod-down` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`flip3-+` `div-sub` `frac-add` `flip-+`

Counts

4 → 408

Calls

4 calls:

61.0ms	(/ x (- 2.0 (+ x y)))
230.0ms	(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
214.0ms	(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
905.0ms	(/ (- (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y)))) (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (+ (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ x (- 2.0 (+ x y)))
84.0ms	(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
117.0ms	(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
229.0ms	(/ (- (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y)))) (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (+ (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

simplify1.4s

Counts

420 → 420

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	448	14762
1	1306	13466
done	5000	12886

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	13	50
done	13	50

end0.0ms

sample693.0ms

Algorithm

intervals

Results

422.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid