Details

sample55.0ms

Algorithm

intervals

Results

30.0ms

344×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
13	4795
12	3891
11	2792
10	1999
9	1375
8	1132
7	1004
6	743
5	510
4	336
3	192
2	80
1	34
0	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize24.0ms

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)
6.8b	(* (* (* y 9.0) z) t)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 76

Calls

4 calls:

35.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
24.0ms	(* (* y 9.0) z)
20.0ms	(* (* a 27.0) b)
77.0ms	(* (* (* y 9.0) z) t)

series305.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
29.0ms	(* (* y 9.0) z)
30.0ms	(* (* a 27.0) b)
42.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1354
1	381
0	144

prune490.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* 9.0 (* z y)) t)) (* (* a 27.0) b))
0.2b	(* 9.0 (* z y))
0.2b	(* (* a 27.0) b)
6.8b	(* (* 9.0 (* z y)) t)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`associate-l`
4×	`insert-posit16`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 76

Calls

4 calls:

35.0ms	(+ (- (* x 2.0) (* (* 9.0 (* z y)) t)) (* (* a 27.0) b))
16.0ms	(* 9.0 (* z y))
18.0ms	(* (* a 27.0) b)
72.0ms	(* (* 9.0 (* z y)) t)

series271.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(+ (- (* x 2.0) (* (* 9.0 (* z y)) t)) (* (* a 27.0) b))
24.0ms	(* 9.0 (* z y))
25.0ms	(* (* a 27.0) b)
30.0ms	(* (* 9.0 (* z y)) t)

simplify1.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1380
1	368
0	140

prune565.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.8b	(* (* (* y 9.0) z) t)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`associate-l`
4×	`insert-posit16`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 76

Calls

4 calls:

49.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
29.0ms	(* (* y 9.0) z)
16.0ms	(* 27.0 (* a b))
58.0ms	(* (* (* y 9.0) z) t)

series332.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
36.0ms	(* (* y 9.0) z)
23.0ms	(* 27.0 (* a b))
38.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1277
1	365
0	140

prune440.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* 9.0 (* z y)) t)) (* 27.0 (* a b)))
0.2b	(* 9.0 (* z y))
0.3b	(* 27.0 (* a b))
6.8b	(* (* 9.0 (* z y)) t)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 76

Calls

4 calls:

32.0ms	(+ (- (* x 2.0) (* (* 9.0 (* z y)) t)) (* 27.0 (* a b)))
22.0ms	(* 9.0 (* z y))
31.0ms	(* 27.0 (* a b))
95.0ms	(* (* 9.0 (* z y)) t)

series314.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (- (* x 2.0) (* (* 9.0 (* z y)) t)) (* 27.0 (* a b)))
30.0ms	(* 9.0 (* z y))
29.0ms	(* 27.0 (* a b))
31.0ms	(* (* 9.0 (* z y)) t)

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5003
2	1307
1	353
0	136

prune378.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

81.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.4b

bsearch215.0ms

Steps

Iters	Range		Point
9	1.159988114222822e+18	6.624221026147701e+25	6.659586950487052e+19
9	-0.018988436667384805	-1.1412925467658035e-09	-0.007343319779592058

simplify10.0ms

Iterations

Iter	Nodes
done	46
1	46
0	30

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.4s

10904×

body

valid