Details

sample104.0ms

Algorithm

intervals

Results

56.0ms

489×

body

valid

simplify12.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
6.2b	(* (* (* x 18.0) y) z)
6.7b	(* (* (* (* x 18.0) y) z) t)

rewrite410.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
60.0ms	(* (* (* x 18.0) y) z)
309.0ms	(* (* (* (* x 18.0) y) z) t)

series162.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
25.0ms	(* (* j 27.0) k)
33.0ms	(* (* (* x 18.0) y) z)
66.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 2 (428.0ms)

Iter	Nodes	Cost
0	137	914
1	350	884
2	1719	678
done	5001	678

prune459.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* x (* z y))))
0.3b	(* (* j 27.0) k)
4.2b	(* x (* z y))
6.7b	(* t (* x (* z y)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

142.0ms	(* 18.0 (* t (* x (* z y))))
24.0ms	(* (* j 27.0) k)
16.0ms	(* x (* z y))
55.0ms	(* t (* x (* z y)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 18.0 (* t (* x (* z y))))
30.0ms	(* (* j 27.0) k)
41.0ms	(* x (* z y))
84.0ms	(* t (* x (* z y)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: 2 (192.0ms)

Iter	Nodes	Cost
0	124	901
1	311	877
2	1311	671
done	5000	671

prune490.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.3b	(* (* j 27.0) k)
4.3b	(* (* x 18.0) (* y z))
6.7b	(* (* (* x 18.0) (* y z)) t)

rewrite3.8s

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`diff-log`
3×	`associate-l` `*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 83

Calls

4 calls:

3.6s	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
32.0ms	(* (* j 27.0) k)
56.0ms	(* (* x 18.0) (* y z))
99.0ms	(* (* (* x 18.0) (* y z)) t)

series731.0ms

Counts

4 → 12

Calls

4 calls:

589.0ms	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
27.0ms	(* (* j 27.0) k)
39.0ms	(* (* x 18.0) (* y z))
76.0ms	(* (* (* x 18.0) (* y z)) t)

simplify1.4s

Counts

95 → 95

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	171	1432
1	458	1352
2	2024	1098
done	5001	1080

prune526.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* j 27.0) k)
0.3b	(* (* z y) 18.0)
4.2b	(* x (* (* z y) 18.0))
6.7b	(* (* x (* (* z y) 18.0)) t)

rewrite348.0ms

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×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

37.0ms	(* (* j 27.0) k)
30.0ms	(* (* z y) 18.0)
74.0ms	(* x (* (* z y) 18.0))
201.0ms	(* (* x (* (* z y) 18.0)) t)

series210.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* j 27.0) k)
42.0ms	(* (* z y) 18.0)
52.0ms	(* x (* (* z y) 18.0))
83.0ms	(* (* x (* (* z y) 18.0)) t)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	132	917
1	343	889
2	1596	683
done	5001	683

prune318.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes1.8s

Accuracy

3.1% (6.1b remaining)

Error of 6.3b against oracle of 0.2b and baseline of 6.5b

bsearch3.0ms

simplify32.0ms

Iterations

Useful iterations: done (31.0ms)

Iter	Nodes	Cost
0	49	168
1	71	126
2	74	96
3	77	96
done	77	95

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.2s

16119×

body

valid