Details

sample157.0ms

Algorithm

intervals

Results

75.0ms

519×

body

valid

simplify11.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (9.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
4.8b	(* (* (* x 18.0) y) z)
6.7b	(* (* (* (* x 18.0) y) z) t)

rewrite365.0ms

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:

19.0ms	(* (* x 18.0) y)
25.0ms	(* (* j 27.0) k)
54.0ms	(* (* (* x 18.0) y) z)
263.0ms	(* (* (* (* x 18.0) y) z) t)

series153.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
27.0ms	(* (* j 27.0) k)
39.0ms	(* (* (* x 18.0) y) z)
56.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (306.0ms)

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

prune376.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* t z)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
9.9b	(* (* (* x 18.0) y) (* t z))

rewrite547.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

398.0ms	(+ (- (* (* (* x 18.0) y) (* t z)) (* (* a 4.0) t)) (* b c))
27.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
89.0ms	(* (* (* x 18.0) y) (* t z))

series321.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(+ (- (* (* (* x 18.0) y) (* t z)) (* (* a 4.0) t)) (* b c))
24.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
63.0ms	(* (* (* x 18.0) y) (* t z))

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	1199
1	435	1167
2	1790	941
done	5001	893

prune377.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* t z))) (* (* a 4.0) t)) (* b c))
0.5b	(* (* j 27.0) k)
5.0b	(* (* x 18.0) (* y (* t z)))
5.1b	(* y (* t z))

rewrite797.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 79

Calls

4 calls:

654.0ms	(+ (- (* (* x 18.0) (* y (* t z))) (* (* a 4.0) t)) (* b c))
20.0ms	(* (* j 27.0) k)
89.0ms	(* (* x 18.0) (* y (* t z)))
31.0ms	(* y (* t z))

series330.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(+ (- (* (* x 18.0) (* y (* t z))) (* (* a 4.0) t)) (* b c))
23.0ms	(* (* j 27.0) k)
50.0ms	(* (* x 18.0) (* y (* t z)))
30.0ms	(* y (* t z))

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	157	1192
1	426	1162
2	1785	936
done	5000	888

prune471.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* t z))) (* (* a 4.0) t)) (* b c))
0.2b	(* 27.0 (* k j))
5.0b	(* (* x 18.0) (* y (* t z)))
5.1b	(* y (* t z))

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

315.0ms	(+ (- (* (* x 18.0) (* y (* t z))) (* (* a 4.0) t)) (* b c))
19.0ms	(* 27.0 (* k j))
52.0ms	(* (* x 18.0) (* y (* t z)))
16.0ms	(* y (* t z))

series385.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(+ (- (* (* x 18.0) (* y (* t z))) (* (* a 4.0) t)) (* b c))
31.0ms	(* 27.0 (* k j))
61.0ms	(* (* x 18.0) (* y (* t z)))
31.0ms	(* y (* t z))

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	152	1189
1	412	1161
2	1704	935
done	5000	887

prune398.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

74.1% (1.4b remaining)

Error of 1.6b against oracle of 0.2b and baseline of 5.6b

bsearch451.0ms

Steps

Iters	Range		Point
11	1.5868244880062604e+35	1.1440447402760175e+65	8.052446072453818e+39
8	-3.998174291922989e-78	-1.5294660918562202e-82	-2.056417521339259e-78

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	45	105
1	68	71
done	68	71

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.0s

16170×

body

valid