Details

sample180.0ms

Algorithm

intervals

Results

98.0ms

526×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: done (4.4s)

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

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)

rewrite449.0ms

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)
26.0ms	(* (* x 18.0) y)
303.0ms	(* (* (* (* x 18.0) y) z) t)
87.0ms	(* (* (* x 18.0) y) z)

series184.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* j 27.0) k)
31.0ms	(* (* x 18.0) y)
83.0ms	(* (* (* (* x 18.0) y) z) t)
38.0ms	(* (* (* x 18.0) y) z)

simplify3.4s

Counts

101 → 101

Iterations

Useful iterations: done (3.4s)

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

prune617.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize46.0ms

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)

rewrite305.0ms

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:

17.0ms	(* j (* 27.0 k))
19.0ms	(* (* x 18.0) y)
199.0ms	(* (* (* (* x 18.0) y) z) t)
67.0ms	(* (* (* x 18.0) y) z)

series193.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* j (* 27.0 k))
33.0ms	(* (* x 18.0) y)
75.0ms	(* (* (* (* x 18.0) y) z) t)
51.0ms	(* (* (* x 18.0) y) z)

simplify3.0s

Counts

101 → 101

Iterations

Useful iterations: done (3.0s)

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

prune649.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize51.0ms

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)

rewrite395.0ms

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:

28.0ms	(* (* x 18.0) y)
31.0ms	(* 27.0 (* k j))
252.0ms	(* (* (* (* x 18.0) y) z) t)
80.0ms	(* (* (* x 18.0) y) z)

series219.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x 18.0) y)
40.0ms	(* 27.0 (* k j))
94.0ms	(* (* (* (* x 18.0) y) z) t)
45.0ms	(* (* (* x 18.0) y) z)

simplify3.0s

Counts

101 → 101

Iterations

Useful iterations: done (3.0s)

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

prune739.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize29.0ms

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)

rewrite263.0ms

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:

17.0ms	(* x (* 18.0 y))
18.0ms	(* 27.0 (* k j))
164.0ms	(* (* (* x (* 18.0 y)) z) t)
60.0ms	(* (* x (* 18.0 y)) z)

series152.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* x (* 18.0 y))
25.0ms	(* 27.0 (* k j))
59.0ms	(* (* (* x (* 18.0 y)) z) t)
34.0ms	(* (* x (* 18.0 y)) z)

simplify2.0s

Counts

101 → 101

Iterations

Useful iterations: done (2.0s)

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

prune548.0ms

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

bsearch244.0ms

Steps

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

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	34	60
1	47	56
2	48	56
done	48	56

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.6s

16179×

body

valid