Details

sample74.0ms

Algorithm

intervals

Results

35.0ms

354×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	214	17
4	415	17
5	898	17
6	4135	17
done	5001	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize30.0ms

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)
0.7b	(* (* y 9.0) z)
5.2b	(* (* (* y 9.0) z) t)

rewrite201.0ms

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:

52.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
28.0ms	(* (* a 27.0) b)
27.0ms	(* (* y 9.0) z)
91.0ms	(* (* (* y 9.0) z) t)

series366.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
32.0ms	(* (* a 27.0) b)
34.0ms	(* (* y 9.0) z)
47.0ms	(* (* (* y 9.0) z) t)

simplify2.8s

Counts

84 → 84

Iterations

Useful iterations: 2 (520.0ms)

Iter	Nodes	Cost
0	140	981
1	378	944
2	2472	816
done	5000	816

prune676.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 68

Calls

4 calls:

15.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
29.0ms	(* 27.0 (* a b))
68.0ms	(* 9.0 (* t (* z y)))
36.0ms	(* t (* z y))

series204.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
38.0ms	(* 27.0 (* a b))
47.0ms	(* 9.0 (* t (* z y)))
43.0ms	(* t (* z y))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: 2 (281.0ms)

Iter	Nodes	Cost
0	117	747
1	315	718
2	1242	594
done	5000	594

prune595.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* (* 9.0 t) (* z y)))
0.0b	(+ (* 2.0 x) (* 27.0 (* a b)))
0.3b	(* 27.0 (* a b))
5.3b	(* (* 9.0 t) (* z y))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

84.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* (* 9.0 t) (* z y)))
15.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
26.0ms	(* 27.0 (* a b))
54.0ms	(* (* 9.0 t) (* z y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* (* 9.0 t) (* z y)))
80.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
36.0ms	(* 27.0 (* a b))
48.0ms	(* (* 9.0 t) (* z y))

simplify1.6s

Counts

77 → 77

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	127	1032
1	360	961
2	1614	851
done	5000	849

prune615.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
0.5b	(* a (* 27.0 b))
0.7b	(* (* y 9.0) z)
5.2b	(* (* (* y 9.0) z) t)

rewrite259.0ms

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:

63.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
37.0ms	(* a (* 27.0 b))
35.0ms	(* (* y 9.0) z)
120.0ms	(* (* (* y 9.0) z) t)

series370.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
39.0ms	(* a (* 27.0 b))
30.0ms	(* (* y 9.0) z)
46.0ms	(* (* (* y 9.0) z) t)

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: 2 (407.0ms)

Iter	Nodes	Cost
0	138	978
1	367	943
2	2081	817
done	5000	817

prune620.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes2.3s

Accuracy

80.8% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.9b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	28	67
1	42	51
done	42	51

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s

11072×

body

valid