Details

sample61.0ms

Algorithm

intervals

Results

24.0ms

340×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 3.4b

localize31.0ms

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

rewrite193.0ms

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:

47.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
29.0ms	(* (* y 9.0) z)
26.0ms	(* (* a 27.0) b)
89.0ms	(* (* (* y 9.0) z) t)

series287.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
21.0ms	(* (* y 9.0) z)
28.0ms	(* (* a 27.0) b)
35.0ms	(* (* (* y 9.0) z) t)

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: 2 (386.0ms)

Iter	Nodes	Cost
0	140	981
1	379	944
2	2482	814
done	5000	814

prune454.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
5.7b	(* t (* z y))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

75.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
61.0ms	(* 9.0 (* t (* z y)))
23.0ms	(* 27.0 (* a b))
22.0ms	(* t (* z y))

series282.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
40.0ms	(* 9.0 (* t (* z y)))
29.0ms	(* 27.0 (* a b))
31.0ms	(* t (* z y))

simplify995.0ms

Counts

83 → 83

Iterations

Useful iterations: done (991.0ms)

Iter	Nodes	Cost
0	123	956
1	312	919
2	1262	783
done	5001	781

prune406.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 x) (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
5.7b	(* t (* z y))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

55.0ms	(+ (* 2.0 x) (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
50.0ms	(* 9.0 (* t (* z y)))
24.0ms	(* 27.0 (* a b))
24.0ms	(* t (* z y))

series323.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(+ (* 2.0 x) (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
40.0ms	(* 9.0 (* t (* z y)))
35.0ms	(* 27.0 (* a b))
31.0ms	(* t (* z y))

simplify894.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	124	954
1	327	925
2	1273	775
done	5000	775

prune377.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* a (* 27.0 b))
0.2b	(* (* y 9.0) z)
5.8b	(* (* (* y 9.0) z) t)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

11.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
23.0ms	(* a (* 27.0 b))
25.0ms	(* (* y 9.0) z)
83.0ms	(* (* (* y 9.0) z) t)

series172.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
26.0ms	(* a (* 27.0 b))
20.0ms	(* (* y 9.0) z)
38.0ms	(* (* (* y 9.0) z) t)

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: 2 (251.0ms)

Iter	Nodes	Cost
0	131	813
1	346	774
2	1947	650
done	5001	650

prune440.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.5s

Accuracy

90.1% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	40	69
1	60	67
done	60	67

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

11022×

body

valid