Details

sample185.0ms

Algorithm

intervals

Results

101.0ms

510×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: done (5.7s)

Iter	Nodes	Cost
0	28	613
1	67	573
2	221	523
3	809	523
4	3800	523
done	5000	498

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* 27.0 k) j)
5.3b	(* (* (* (* x 18.0) y) z) t)
5.8b	(* (* (* x 18.0) y) z)

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
14.0ms	(* (* 27.0 k) j)
209.0ms	(* (* (* (* x 18.0) y) z) t)
60.0ms	(* (* (* x 18.0) y) z)

series215.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* x 18.0) y)
42.0ms	(* (* 27.0 k) j)
91.0ms	(* (* (* (* x 18.0) y) z) t)
38.0ms	(* (* (* x 18.0) y) z)

simplify3.2s

Counts

101 → 101

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	145	19028
1	377	17324
2	3175	17044
done	5000	16484

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* k j))
5.3b	(* (* (* (* x 18.0) y) z) t)
5.8b	(* (* (* x 18.0) y) z)

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
23.0ms	(* 27.0 (* k j))
230.0ms	(* (* (* (* x 18.0) y) z) t)
95.0ms	(* (* (* x 18.0) y) z)

series202.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x 18.0) y)
31.0ms	(* 27.0 (* k j))
74.0ms	(* (* (* (* x 18.0) y) z) t)
56.0ms	(* (* (* x 18.0) y) z)

simplify2.7s

Counts

101 → 101

Iterations

Useful iterations: 2 (724.0ms)

Iter	Nodes	Cost
0	143	18988
1	366	17325
2	2782	16885
done	5002	16885

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* k j))
0.3b	(* 18.0 (* x y))
5.3b	(* (* (* 18.0 (* x y)) z) t)
5.8b	(* (* 18.0 (* x y)) z)

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

13.0ms	(* 27.0 (* k j))
13.0ms	(* 18.0 (* x y))
172.0ms	(* (* (* 18.0 (* x y)) z) t)
71.0ms	(* (* 18.0 (* x y)) z)

series127.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 27.0 (* k j))
22.0ms	(* 18.0 (* x y))
53.0ms	(* (* (* 18.0 (* x y)) z) t)
31.0ms	(* (* 18.0 (* x y)) z)

simplify2.4s

Counts

101 → 101

Iterations

Useful iterations: 2 (521.0ms)

Iter	Nodes	Cost
0	139	18989
1	355	17367
2	2301	15607
done	5001	15607

prune830.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
5.3b	(* (* (* (* x 18.0) y) z) t)
5.8b	(* (* (* x 18.0) y) z)

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
26.0ms	(* (* j 27.0) k)
191.0ms	(* (* (* (* x 18.0) y) z) t)
49.0ms	(* (* (* x 18.0) y) z)

series191.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
25.0ms	(* (* j 27.0) k)
90.0ms	(* (* (* (* x 18.0) y) z) t)
41.0ms	(* (* (* x 18.0) y) z)

simplify2.8s

Counts

101 → 101

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	145	19028
1	378	17324
2	3183	17044
done	5000	16484

prune734.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

regimes3.2s

Accuracy

38.7% (3.1b remaining)

Error of 3.9b against oracle of 0.8b and baseline of 5.9b

bsearch395.0ms

Steps

Iters	Range		Point
9	1.5084319862635851e-127	1.1605637005194695e-122	7.467946257651943e-123
9	-2.884593901536308e+87	-1.2938994184120783e+82	-2.3588152244773696e+82

simplify18.0ms

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	53	1710
1	76	1710
done	76	1710

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.4s

16476×

body

valid