Details

sample165.0ms

Algorithm

intervals

Results

81.0ms

526×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	221	27
3	795	27
4	3643	27
done	5000	26

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* (* x 18.0) y)
4.4b	(* (* (* (* x 18.0) y) z) t)
5.1b	(* (* (* x 18.0) y) z)

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

26.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
245.0ms	(* (* (* (* x 18.0) y) z) t)
97.0ms	(* (* (* x 18.0) y) z)

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* j 27.0) k)
31.0ms	(* (* x 18.0) y)
59.0ms	(* (* (* (* x 18.0) y) z) t)
38.0ms	(* (* (* x 18.0) y) z)

simplify2.8s

Counts

101 → 101

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	145	974
1	379	944
2	3109	776
done	5001	772

prune549.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.3b	(* (* x 18.0) y)
4.4b	(* (* (* (* x 18.0) y) z) t)
5.1b	(* (* (* x 18.0) y) z)

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

21.0ms	(* j (* 27.0 k))
32.0ms	(* (* x 18.0) y)
263.0ms	(* (* (* (* x 18.0) y) z) t)
72.0ms	(* (* (* x 18.0) y) z)

series163.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* j (* 27.0 k))
26.0ms	(* (* x 18.0) y)
53.0ms	(* (* (* (* x 18.0) y) z) t)
55.0ms	(* (* (* x 18.0) y) z)

simplify2.7s

Counts

101 → 101

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	143	971
1	367	943
2	2822	769
done	5001	767

prune792.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
4.4b	(* (* (* (* x 18.0) y) z) t)
5.1b	(* (* (* x 18.0) y) z)

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
19.0ms	(* 27.0 (* k j))
220.0ms	(* (* (* (* x 18.0) y) z) t)
72.0ms	(* (* (* x 18.0) y) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
32.0ms	(* 27.0 (* k j))
66.0ms	(* (* (* (* x 18.0) y) z) t)
51.0ms	(* (* (* x 18.0) y) z)

simplify2.9s

Counts

101 → 101

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	141	971
1	362	943
2	2795	769
done	5002	767

prune684.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* 27.0 (* k j))
4.4b	(* (* (* x (* 18.0 y)) z) t)
5.1b	(* (* x (* 18.0 y)) z)

rewrite403.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `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))
20.0ms	(* 27.0 (* k j))
262.0ms	(* (* (* x (* 18.0 y)) z) t)
90.0ms	(* (* x (* 18.0 y)) z)

series194.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* x (* 18.0 y))
38.0ms	(* 27.0 (* k j))
76.0ms	(* (* (* x (* 18.0 y)) z) t)
52.0ms	(* (* x (* 18.0 y)) z)

simplify2.1s

Counts

101 → 101

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	139	970
1	355	944
2	2086	746
done	5000	738

prune576.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes1.4s

Accuracy

13.1% (3.7b remaining)

Error of 4.4b against oracle of 0.7b and baseline of 5.0b

bsearch252.0ms

Steps

Iters	Range		Point
8	4.380805319875246e+68	4.626612217824153e+72	5.612796806482376e+68

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	35	64
1	47	56
done	47	56

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.0s

16179×

body

valid