Details

sample30.0ms

Algorithm

intervals

Results

12.0ms	300×	body	80	valid
3.0ms	16×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	5×	body	160	valid
0.0ms	3×	body	320	valid

simplify233.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	76	9
4	163	9
5	212	9
6	222	9
7	224	9
done	224	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

18.0ms	(* 3.0 (- 2.0 (* x 3.0)))
36.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series213.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* 3.0 (- 2.0 (* x 3.0)))
138.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify869.0ms

Counts

50 → 50

Iterations

Useful iterations: done (867.0ms)

Iter	Nodes	Cost
0	80	554
1	212	546
2	1138	468
done	5000	462

prune125.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 40

Calls

2 calls:

24.0ms	(* (- 2.0 (* x 3.0)) x)
55.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series233.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* (- 2.0 (* x 3.0)) x)
133.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify751.0ms

Counts

46 → 46

Iterations

Useful iterations: done (749.0ms)

Iter	Nodes	Cost
0	74	527
1	188	521
2	946	443
done	5001	427

prune122.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

22.0ms

(* x (- 6.0 (* 9.0 x)))

series118.0ms

Counts

1 → 3

Calls

1 calls:

118.0ms

(* x (- 6.0 (* 9.0 x)))

simplify3.5s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	51	273
1	133	270
2	569	244
3	4564	238
done	5000	238

prune76.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.1b	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b	(* (* x 3.0) (* x 3.0))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
15×	`add-sqr-sqrt`
14×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`times-frac`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`associate-/r` `-commutative`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `pow-plus` `flip--` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `swap-sqr` `associate-l/` `clear-num` `associate-/l` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

46.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
59.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
32.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
31.0ms	(* (* x 3.0) (* x 3.0))

series547.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
253.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
171.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
28.0ms	(* (* x 3.0) (* x 3.0))

simplify2.1s

Counts

125 → 125

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	166	2264
1	510	2138
2	3096	1728
done	5000	1722

prune318.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	23
1	19	21
2	22	21
3	24	21
done	24	21

end0.0ms

sample869.0ms

Algorithm

intervals

Results

447.0ms	9852×	body	80	valid
109.0ms	334×	body	1280	valid
39.0ms	323×	body	640	valid
11.0ms	121×	body	320	valid
5.0ms	80×	body	160	valid