Details

sample68.0ms

Algorithm

intervals

Results

28.0ms

354×

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	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
5.7b	(* (* (* y 9.0) z) t)

rewrite141.0ms

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:

36.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
21.0ms	(* (* y 9.0) z)
18.0ms	(* (* a 27.0) b)
64.0ms	(* (* (* y 9.0) z) t)

series239.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* y 9.0) z)
22.0ms	(* (* a 27.0) b)
32.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	140	981
1	365	944
2	1545	802
done	5001	796

prune312.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.3b	(* 27.0 (* a b))
0.3b	(* 9.0 (* t (* z y)))
5.7b	(* t (* z y))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

31.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
20.0ms	(* 27.0 (* a b))
48.0ms	(* 9.0 (* t (* z y)))
18.0ms	(* t (* z y))

series271.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
35.0ms	(* 27.0 (* a b))
52.0ms	(* 9.0 (* t (* z y)))
45.0ms	(* t (* z y))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	113	841
1	285	796
2	1077	678
done	5001	678

prune276.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.3b	(* 27.0 (* a b))
5.8b	(* (* 9.0 t) (* z y))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 52

Calls

3 calls:

20.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
36.0ms	(* 27.0 (* a b))
29.0ms	(* (* 9.0 t) (* z y))

series200.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
33.0ms	(* 27.0 (* a b))
37.0ms	(* (* 9.0 t) (* z y))

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	103	715
1	265	671
2	1041	569
done	5000	569

prune207.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (* (* y 9.0) z) t)
11.5b	(cbrt (* (* (* y 9.0) z) t))
11.5b	(cbrt (* (* (* y 9.0) z) t))
11.5b	(cbrt (* (* (* y 9.0) z) t))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

57.0ms	(* (* (* y 9.0) z) t)
48.0ms	(cbrt (* (* (* y 9.0) z) t))
59.0ms	(cbrt (* (* (* y 9.0) z) t))
79.0ms	(cbrt (* (* (* y 9.0) z) t))

series435.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* (* y 9.0) z) t)
153.0ms	(cbrt (* (* (* y 9.0) z) t))
132.0ms	(cbrt (* (* (* y 9.0) z) t))
121.0ms	(cbrt (* (* (* y 9.0) z) t))

simplify4.7s

Counts

60 → 60

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	96	700
1	239	683
2	879	573
3	4104	555
done	5000	528

prune301.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes802.0ms

Accuracy

80% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.7b

bsearch196.0ms

Steps

Iters	Range		Point
10	4.4134863271695694e+52	7.730793189118645e+66	1.84095399322268e+56
6	-1.2638701696280796e+38	-1.3207885900506812e+37	-2.185516850406665e+37

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	27	59
1	40	43
done	40	43

end0.0ms

sample1.9s

Algorithm

intervals

Results

887.0ms

11031×

body

valid