Details

sample125.0ms

Algorithm

intervals

Results

64.0ms

510×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: done (5.0s)

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

localize91.0ms

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)

rewrite378.0ms

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)
26.0ms	(* (* 27.0 k) j)
250.0ms	(* (* (* (* x 18.0) y) z) t)
67.0ms	(* (* (* x 18.0) y) z)

series200.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x 18.0) y)
24.0ms	(* (* 27.0 k) j)
90.0ms	(* (* (* (* x 18.0) y) z) t)
45.0ms	(* (* (* x 18.0) y) z)

simplify3.1s

Counts

101 → 101

Iterations

Useful iterations: done (3.1s)

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

localize87.0ms

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)

rewrite316.0ms

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:

24.0ms	(* (* x 18.0) y)
21.0ms	(* 27.0 (* k j))
200.0ms	(* (* (* (* x 18.0) y) z) t)
67.0ms	(* (* (* x 18.0) y) z)

series191.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x 18.0) y)
35.0ms	(* 27.0 (* k j))
76.0ms	(* (* (* (* x 18.0) y) z) t)
42.0ms	(* (* (* x 18.0) y) z)

simplify2.7s

Counts

101 → 101

Iterations

Useful iterations: 2 (668.0ms)

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

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize75.0ms

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)

rewrite305.0ms

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:

24.0ms	(* 27.0 (* k j))
24.0ms	(* 18.0 (* x y))
181.0ms	(* (* (* 18.0 (* x y)) z) t)
72.0ms	(* (* 18.0 (* x y)) z)

series180.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 27.0 (* k j))
33.0ms	(* 18.0 (* x y))
68.0ms	(* (* (* 18.0 (* x y)) z) t)
44.0ms	(* (* 18.0 (* x y)) z)

simplify2.2s

Counts

101 → 101

Iterations

Useful iterations: 2 (496.0ms)

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

prune901.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize78.0ms

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)

rewrite291.0ms

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:

14.0ms	(* (* x 18.0) y)
25.0ms	(* (* j 27.0) k)
193.0ms	(* (* (* (* x 18.0) y) z) t)
56.0ms	(* (* (* x 18.0) y) z)

series155.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
26.0ms	(* (* j 27.0) k)
64.0ms	(* (* (* (* x 18.0) y) z) t)
33.0ms	(* (* (* x 18.0) y) z)

simplify3.5s

Counts

101 → 101

Iterations

Useful iterations: done (3.4s)

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

prune951.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

regimes3.5s

Accuracy

38.7% (3.1b remaining)

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

bsearch412.0ms

Steps

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

simplify25.0ms

Iterations

Useful iterations: 0 (10.0ms)

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

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.1s

16476×

body

valid