Details

sample14.0ms

Algorithm

intervals

Results

3.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	24	7
3	40	7
4	59	7
5	75	7
6	82	7
7	84	7
done	84	7

prune1.0ms

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	(* (+ a b) (+ a b))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

17.0ms

(* (+ a b) (+ a b))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ a b) (+ a b))

simplify2.2s

Counts

43 → 43

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	62	516
1	185	453
2	729	407
3	3854	376
done	5000	376

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* b (+ (* 2 a) b)) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (* b (+ (* 2 a) b)) (* a a))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(+ (* b (+ (* 2 a) b)) (* a a))

simplify1.1s

Counts

16 → 16

Iterations

Useful iterations: 3 (357.0ms)

Iter	Nodes	Cost
0	37	270
1	119	259
2	456	231
3	1639	223
done	5001	223

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* b (+ (* 2 a) b)) (* a a))
0.3b	(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
0.5b	(/ (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4)) (- (* b (+ (* 2 a) b)) (* a a)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
22×	`add-sqr-sqrt`
18×	`times-frac`
17×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
12×	`difference-of-squares`
8×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `associate-/l*`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`frac-times` `unpow-prod-down` `pow-sqr` `pow-prod-up` `sqr-pow`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow-plus` `associate-*l/` `associate--l+` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

3 → 104

Calls

3 calls:

6.0ms	(- (* b (+ (* 2 a) b)) (* a a))
29.0ms	(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
93.0ms	(/ (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4)) (- (* b (+ (* 2 a) b)) (* a a)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (* b (+ (* 2 a) b)) (* a a))
30.0ms	(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
63.0ms	(/ (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4)) (- (* b (+ (* 2 a) b)) (* a a)))

simplify944.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (390.0ms)

Iter	Nodes	Cost
0	191	3365
1	567	3085
2	2357	2829
done	5001	2829

prune223.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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	11
1	12	11
done	12	11

end0.0ms

sample348.0ms

Algorithm

intervals

Results

117.0ms	8000×	pre	80	true
103.0ms	8000×	body	80	valid