Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	14	7
3	16	7
done	16	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

10.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify1.5s

Counts

49 → 49

Iterations

Useful iterations: 4 (637.0ms)

Iter	Nodes	Cost
0	78	600
1	187	573
2	416	545
3	977	545
4	2498	538
done	5000	538

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
46.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ y (+ x y))
36.0ms	(/ x (+ x y))
70.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: 4 (622.0ms)

Iter	Nodes	Cost
0	130	1135
1	260	1070
2	558	1028
3	1255	1028
4	3185	1024
done	5000	1024

prune171.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (- x y) (+ x y)))
0.0b	(cbrt (/ (- x y) (+ x y)))
0.0b	(cbrt (/ (- x y) (+ x y)))
0.0b	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
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 → 244

Calls

4 calls:

5.0ms	(cbrt (/ (- x y) (+ x y)))
5.0ms	(cbrt (/ (- x y) (+ x y)))
5.0ms	(cbrt (/ (- x y) (+ x y)))
58.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

series761.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (/ (- x y) (+ x y)))
204.0ms	(cbrt (/ (- x y) (+ x y)))
210.0ms	(cbrt (/ (- x y) (+ x y)))
135.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

simplify2.9s

Counts

256 → 256

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	183	5350
1	311	4948
2	782	4830
3	2027	4561
4	3771	4515
done	5000	4515

prune533.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (- x y) (+ x y)))
0.0b	(cbrt (/ (- x y) (+ x y)))
0.0b	(cbrt (/ (- x y) (+ x y)))
0.0b	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
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 → 244

Calls

4 calls:

8.0ms	(cbrt (/ (- x y) (+ x y)))
5.0ms	(cbrt (/ (- x y) (+ x y)))
5.0ms	(cbrt (/ (- x y) (+ x y)))
60.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

series756.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (/ (- x y) (+ x y)))
207.0ms	(cbrt (/ (- x y) (+ x y)))
206.0ms	(cbrt (/ (- x y) (+ x y)))
136.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

simplify2.7s

Counts

256 → 256

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	183	5350
1	311	4948
2	782	4830
3	2027	4561
4	3771	4515
done	5000	4515

prune645.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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	5	7
1	6	7
done	6	7

end0.0ms

sample279.0ms

Algorithm

intervals

Results

155.0ms

8000×

body

valid