Details

sample87.0ms

Algorithm

intervals

Results

22.0ms	525×	pre	80	true
18.0ms	171×	body	160	valid
13.0ms	269×	body	80	nan
6.0ms	33×	body	320	valid
3.0ms	52×	body	80	valid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	324
1	21	324
2	41	284
3	76	284
4	96	284
5	104	284
done	104	284

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
42.5b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

6.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
95.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
44.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series357.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* b b) (* (* 3.0 a) c))
36.0ms	(* (* 3.0 a) c)
139.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
111.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.2s

Counts

87 → 87

Iterations

Useful iterations: 2 (654.0ms)

Iter	Nodes	Cost
0	155	27211
1	428	24663
2	2483	24103
done	5000	24103

prune563.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune54.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/ (* a c) b)
19.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series87.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* a c) b)
36.0ms	(* -1.5 (/ (* a c) b))
28.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts

87 → 87

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	123	20751
1	391	18347
2	2789	17707
done	5001	15787

prune448.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
0.4b	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-exp-log`
92×	`add-cbrt-cube`
70×	`div-exp`
53×	`prod-exp`
37×	`cbrt-undiv`
29×	`times-frac` `cbrt-unprod`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-/r*`
9×	`rec-exp` `1-exp`
8×	`div-inv`
7×	`pow1` `associate-r`
6×	`associate-*r/` `associate-/r/`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

8.0ms	(/ (* a c) b)
22.0ms	(* -1.5 (/ (* a c) b))
35.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
17.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* a c) b)
51.0ms	(* -1.5 (/ (* a c) b))
25.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
26.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

simplify2.3s

Counts

166 → 166

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	213	54283
1	656	43233
2	4257	40300
done	5000	38696

prune574.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.5b

regimes739.0ms

Accuracy

0% (6.8b remaining)

Error of 11.9b against oracle of 5.1b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	6	83
done	6	83

end0.0ms

sample3.0s

Algorithm

intervals

Results

682.0ms	16141×	pre	80	true
663.0ms	4835×	body	160	valid
589.0ms	1387×	body	320	valid
491.0ms	8141×	body	80	nan
98.0ms	1778×	body	80	valid