Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify153.0ms

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

prune1.0ms

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)))

rewrite48.0ms

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:

45.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify1.1s

Counts

61 → 61

Iterations

Useful iterations: 3 (425.0ms)

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

prune139.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite361.0ms

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:

34.0ms	(/ x (- 2.0 (+ x y)))
268.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
49.0ms	(/ y (- 2.0 (+ x y)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ x (- 2.0 (+ x y)))
79.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
65.0ms	(/ y (- 2.0 (+ x y)))

simplify1.3s

Counts

125 → 125

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	176	1863
1	376	1776
2	853	1702
3	1905	1692
done	5000	1682

prune294.0ms

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	(/ y (- 2.0 (+ x y)))
0.0b	(* (+ x y) (+ x y))
5.0b	(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
14.8b	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
43×	`times-frac`
37×	`add-cube-cbrt`
22×	`associate-l`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `distribute-lft-out`
11×	`difference-of-squares`
10×	`associate-/r*`
9×	`associate-r`
8×	`flip3-+` `flip-+` `distribute-lft-out--`
6×	`frac-times` `swap-sqr` `associate-/r/` `associate-/l*`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 159

Calls

4 calls:

32.0ms	(/ y (- 2.0 (+ x y)))
36.0ms	(* (+ x y) (+ x y))
98.0ms	(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
14.0ms	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ y (- 2.0 (+ x y)))
18.0ms	(* (+ x y) (+ x y))
96.0ms	(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
84.0ms	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify2.5s

Counts

171 → 171

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	263	2896
1	767	2734
2	3146	2502
done	5002	2175

prune603.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
3.2b	(* (/ (cbrt x) (- 2.0 (+ x y))) (+ 2.0 (+ x y)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
42×	`associate-l`
38×	`times-frac`
28×	`cbrt-prod`
27×	`add-cube-cbrt`
12×	`distribute-lft-out--`
9×	`add-exp-log` `distribute-lft-out`
8×	`add-cbrt-cube`
6×	`pow1` `difference-of-squares`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`frac-times` `flip3-+` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`cbrt-undiv` `distribute-rgt-in` `flip3--` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
193.0ms	(* (/ (cbrt x) (- 2.0 (+ x y))) (+ 2.0 (+ x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt x)
329.0ms	(cbrt x)
346.0ms	(cbrt x)
139.0ms	(* (/ (cbrt x) (- 2.0 (+ x y))) (+ 2.0 (+ x y)))

simplify1.4s

Counts

115 → 115

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	1513
1	553	1472
2	2063	1371
done	5000	1358

prune483.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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

sample688.0ms

Algorithm

intervals

Results

411.0ms	7998×	body	80	valid
0.0ms	2×	body	1280	valid