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

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

rewrite20.0ms

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:

18.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify2.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (955.0ms)

Iter	Nodes	Cost
0	62	516
1	185	453
2	729	407
3	3846	376
done	5000	376

prune57.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

10.0ms	(* b (+ (* 2 a) b))
5.0ms	(+ (* b (+ (* 2 a) b)) (* a a))

series59.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* b (+ (* 2 a) b))
22.0ms	(+ (* b (+ (* 2 a) b)) (* a a))

simplify1.4s

Counts

41 → 41

Iterations

Useful iterations: 3 (390.0ms)

Iter	Nodes	Cost
0	70	523
1	218	485
2	728	445
3	3023	437
done	5000	437

prune70.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b (+ (* 2 a) b)) (* a a))
0.0b	(- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4))
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)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

6.0ms	(- (* b (+ (* 2 a) b)) (* a a))
33.0ms	(- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4))
28.0ms	(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
88.0ms	(/ (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4)) (- (* b (+ (* 2 a) b)) (* a a)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* b (+ (* 2 a) b)) (* a a))
71.0ms	(- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4))
27.0ms	(* (* 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)))

simplify797.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (240.0ms)

Iter	Nodes	Cost
0	203	3931
1	594	3592
2	2452	3278
done	5000	3278

prune290.0ms

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

sample326.0ms

Algorithm

intervals

Results

106.0ms	8000×	pre	80	true
102.0ms	8000×	body	80	valid