Details

sample72.0ms

Algorithm

intervals

Results

44.0ms

368×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	210	17
4	323	17
5	334	17
6	343	17
7	366	17
8	445	17
9	491	17
done	491	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.4b	(* (* y 9.0) z)
4.9b	(* (* (* y 9.0) z) t)

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`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 → 72

Calls

4 calls:

63.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
33.0ms	(* (* a 27.0) b)
27.0ms	(* (* y 9.0) z)
83.0ms	(* (* (* y 9.0) z) t)

series303.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
40.0ms	(* (* a 27.0) b)
31.0ms	(* (* y 9.0) z)
48.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	140	981
1	365	944
2	1544	802
done	5001	796

prune270.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
0.2b	(* y (* z 9.0))
0.2b	(* (* a 27.0) b)
4.9b	(* (* y (* z 9.0)) t)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

34.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
21.0ms	(* y (* z 9.0))
34.0ms	(* (* a 27.0) b)
59.0ms	(* (* y (* z 9.0)) t)

series274.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
19.0ms	(* y (* z 9.0))
22.0ms	(* (* a 27.0) b)
29.0ms	(* (* y (* z 9.0)) t)

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	980
1	358	945
2	1533	803
done	5000	797

prune259.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* 27.0 (* a b)))
0.2b	(* y (* z 9.0))
0.3b	(* 27.0 (* a b))
4.9b	(* (* y (* z 9.0)) t)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

50.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* 27.0 (* a b)))
24.0ms	(* y (* z 9.0))
25.0ms	(* 27.0 (* a b))
79.0ms	(* (* y (* z 9.0)) t)

series294.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* 27.0 (* a b)))
25.0ms	(* y (* z 9.0))
28.0ms	(* 27.0 (* a b))
38.0ms	(* (* y (* z 9.0)) t)

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	134	977
1	345	944
2	1387	802
done	5000	796

prune286.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* z 9.0))
0.2b	(* (sqrt 27.0) (* a b))
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
4.9b	(* (* y (* z 9.0)) t)

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

20.0ms	(* y (* z 9.0))
20.0ms	(* (sqrt 27.0) (* a b))
66.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
73.0ms	(* (* y (* z 9.0)) t)

series259.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* y (* z 9.0))
59.0ms	(* (sqrt 27.0) (* a b))
137.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
34.0ms	(* (* y (* z 9.0)) t)

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: 2 (249.0ms)

Iter	Nodes	Cost
0	125	938
1	319	797
2	1325	635
done	5000	635

prune249.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes1.0s

Accuracy

62.2% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.5b

bsearch218.0ms

Steps

Iters	Range		Point
8	1.3545923338427428e-81	4.78840702238613e-78	6.098358871993371e-79
8	-1.2104435359073297e-186	-3.223401234048309e-189	-5.676106603176618e-187

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	63
1	57	63
done	57	63

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

10972×

body

valid