Details

sample116.0ms

Algorithm

intervals

Results

25.0ms	513×	pre	80	true
24.0ms	146×	body	160	valid
20.0ms	257×	body	80	nan
10.0ms	110×	body	80	valid

simplify118.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	111
5	111
4	102
3	78
2	44
1	24
0	14

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4.0)))
0.2b	(- (* b b) (* (* c a) 4.0))
0.3b	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
29.5b	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/l*`
16×	`sqrt-prod`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
5×	`pow1` `div-inv`
3×	`cbrt-undiv` `associate-/r*` `flip3--` `div-exp` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l/`

Counts

4 → 149

Calls

4 calls:

13.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
12.0ms	(- (* b b) (* (* c a) 4.0))
84.0ms	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
71.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series437.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
58.0ms	(- (* b b) (* (* c a) 4.0))
165.0ms	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
105.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.6s

Counts

161 → 161

Iterations

Iter	Nodes
done	5002
2	3057
1	692
0	280

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.5b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune167.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ -2.0 (/ b (* c a)))
0.3b	(/ b (* c a))
0.3b	(/ (/ (/ -2.0 (/ b (* c a))) 2.0) a)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

954×	`times-frac`
380×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
88×	`associate-/l*`
59×	`div-inv`
37×	`add-cbrt-cube` `add-exp-log`
21×	`cbrt-undiv` `div-exp`
13×	`associate-/r/`
11×	`associate-/r*`
3×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 421

Calls

3 calls:

19.0ms	(/ -2.0 (/ b (* c a)))
12.0ms	(/ b (* c a))
77.0ms	(/ (/ (/ -2.0 (/ b (* c a))) 2.0) a)

series109.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ -2.0 (/ b (* c a)))
33.0ms	(/ b (* c a))
26.0ms	(/ (/ (/ -2.0 (/ b (* c a))) 2.0) a)

simplify1.2s

Counts

430 → 430

Iterations

Iter	Nodes
done	5001
1	2284
0	877

prune2.9s

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 8.4b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 8.4b

regimes941.0ms

Accuracy

47.8% (7.1b remaining)

Error of 16.1b against oracle of 9.0b and baseline of 22.7b

bsearch3.0ms

Steps

Iters	Range		Point
0	313.18788541642925	317.78179210620726	315.48483876131826

simplify3.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.1s	8544×	body	80	nan
792.0ms	4521×	body	160	valid
730.0ms	16544×	pre	80	true
461.0ms	3479×	body	80	valid