Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	5

prune7.0ms

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) (- x y))

rewrite22.0ms

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-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

20.0ms

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

series117.0ms

Counts

1 → 3

Calls

1 calls:

117.0ms

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

simplify2.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
3	3448
2	591
1	175
0	76

prune200.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

23.0ms	(/ 1 (/ (- x y) (+ x y)))
20.0ms	(/ (- x y) (+ x y))

series183.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ 1 (/ (- x y) (+ x y)))
94.0ms	(/ (- x y) (+ x y))

simplify2.0s

Counts

180 → 180

Iterations

Iter	Nodes
done	5001
2	3590
1	548
0	205

prune451.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 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)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

121×	`*-un-lft-identity`
80×	`times-frac`
79×	`add-sqr-sqrt`
78×	`cbrt-prod`
45×	`add-cube-cbrt`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r*`
4×	`pow1` `flip3--` `div-inv` `flip--` `associate-/l*` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+`

Counts

4 → 150

Calls

4 calls:

23.0ms	(/ (+ x y) (- x y))
7.0ms	(cbrt (/ (+ x y) (- x y)))
8.0ms	(cbrt (/ (+ x y) (- x y)))
8.0ms	(cbrt (/ (+ x y) (- x y)))

series952.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (+ x y) (- x y))
244.0ms	(cbrt (/ (+ x y) (- x y)))
328.0ms	(cbrt (/ (+ x y) (- x y)))
281.0ms	(cbrt (/ (+ x y) (- x y)))

simplify2.2s

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
3	3778
2	665
1	226
0	117

prune788.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

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-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 244

Calls

4 calls:

7.0ms	(cbrt (/ (- x y) (+ y x)))
7.0ms	(cbrt (/ (- x y) (+ y x)))
9.0ms	(cbrt (/ (- x y) (+ y x)))
79.0ms	(* (cbrt (/ (- x y) (+ y x))) (cbrt (/ (- x y) (+ y x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt (/ (- x y) (+ y x)))
336.0ms	(cbrt (/ (- x y) (+ y x)))
318.0ms	(cbrt (/ (- x y) (+ y x)))
157.0ms	(* (cbrt (/ (- x y) (+ y x))) (cbrt (/ (- x y) (+ y x))))

simplify1.2s

Counts

256 → 256

Iterations

Iter	Nodes
done	5000
2	1349
1	344
0	187

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample622.0ms

Algorithm

intervals

Results

331.0ms

8000×

body

valid