Details

sample9.0ms

Algorithm

intervals

Results

3.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
2	9	5
3	11	5
4	12	5
done	12	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

13.0ms

(+ (+ x y) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (+ x y) x)

simplify1.6s

Counts

18 → 18

Iterations

Useful iterations: 4 (643.0ms)

Iter	Nodes	Cost
0	32	145
1	81	140
2	203	130
3	614	122
4	2453	116
done	5000	116

prune25.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x y) x))
0.6b	(cbrt (+ (+ x y) x))
0.6b	(cbrt (+ (+ x y) x))
0.6b	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

9.0ms	(cbrt (+ (+ x y) x))
8.0ms	(cbrt (+ (+ x y) x))
8.0ms	(cbrt (+ (+ x y) x))
72.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

series888.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (+ (+ x y) x))
217.0ms	(cbrt (+ (+ x y) x))
211.0ms	(cbrt (+ (+ x y) x))
246.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

simplify2.3s

Counts

117 → 117

Iterations

Useful iterations: 3 (735.0ms)

Iter	Nodes	Cost
0	130	1868
1	280	1710
2	909	1620
3	4184	1407
done	5000	1407

prune236.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (+ x y) x)) (* (* (cbrt (cbrt (+ (+ x y) x))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (cbrt (+ (+ x y) x)))))
0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.6b	(cbrt (cbrt (+ (+ x y) x)))

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

390×	`cbrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
50×	`associate-*r/`
44×	`cbrt-prod` `associate-*l/`
32×	`*-un-lft-identity`
15×	`pow1`
13×	`add-exp-log` `add-cube-cbrt` `pow1/3`
12×	`add-sqr-sqrt` `distribute-lft-out`
9×	`pow-prod-down`
8×	`associate-l`
6×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
5×	`pow-prod-up`
4×	`add-log-exp`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 164

Calls

4 calls:

333.0ms	(* (cbrt (+ (+ x y) x)) (* (* (cbrt (cbrt (+ (+ x y) x))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (cbrt (+ (+ x y) x)))))
9.0ms	(cbrt (cbrt (+ (+ x y) x)))
9.0ms	(cbrt (cbrt (+ (+ x y) x)))
9.0ms	(cbrt (cbrt (+ (+ x y) x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (cbrt (+ (+ x y) x)) (* (* (cbrt (cbrt (+ (+ x y) x))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (cbrt (+ (+ x y) x)))))
287.0ms	(cbrt (cbrt (+ (+ x y) x)))
286.0ms	(cbrt (cbrt (+ (+ x y) x)))
285.0ms	(cbrt (cbrt (+ (+ x y) x)))

simplify587.0ms

Counts

176 → 176

Iterations

Useful iterations: done (579.0ms)

Iter	Nodes	Cost
0	297	7592
1	692	7366
2	1616	6568
done	5001	5876

prune490.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.8b	(pow (cbrt (cbrt (+ (+ x y) x))) 3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-prod`
42×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`cbrt-div`
15×	`distribute-lft-out`
11×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-unpow`
2×	`cube-div` `pow-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 96

Calls

4 calls:

9.0ms	(cbrt (cbrt (+ (+ x y) x)))
9.0ms	(cbrt (cbrt (+ (+ x y) x)))
9.0ms	(cbrt (cbrt (+ (+ x y) x)))
19.0ms	(pow (cbrt (cbrt (+ (+ x y) x))) 3)

series1.2s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt (cbrt (+ (+ x y) x)))
288.0ms	(cbrt (cbrt (+ (+ x y) x)))
282.0ms	(cbrt (cbrt (+ (+ x y) x)))
353.0ms	(pow (cbrt (cbrt (+ (+ x y) x))) 3)

simplify590.0ms

Counts

108 → 108

Iterations

Useful iterations: done (587.0ms)

Iter	Nodes	Cost
0	132	1652
1	349	1354
2	1026	1261
done	5000	1229

prune270.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes57.0ms

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	4	5
1	6	5
done	6	5

end0.0ms

sample216.0ms

Algorithm

intervals

Results

105.0ms

8005×

body

valid