Details

sample83.0ms

Algorithm

intervals

Results

17.0ms	163×	body	160	valid
14.0ms	265×	body	80	nan
13.0ms	521×	pre	80	true
7.0ms	41×	body	320	valid
3.0ms	52×	body	80	valid

simplify104.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b	(- (* b b) (* (* c a) 4.0))
0.2b	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
39.5b	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite147.0ms

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:

7.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
7.0ms	(- (* b b) (* (* c a) 4.0))
65.0ms	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
62.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series403.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
73.0ms	(- (* b b) (* (* c a) 4.0))
133.0ms	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
115.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify2.1s

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: 5.0b

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

prune117.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 5.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
6×	`associate-/r*` `div-inv`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 73

Calls

2 calls:

15.0ms	(/ (* a c) b)
34.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series78.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (* a c) b)
46.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.6s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	2917
1	460
0	167

prune576.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 4.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (* a c) b)
0.3b	(/ (/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) 2.0) a)
0.5b	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
48×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `add-cube-cbrt`
34×	`sqrt-prod`
30×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
12×	`swap-sqr`
11×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-r` `associate-l`
9×	`associate-/r` `associate-/l`
8×	`sqrt-pow1` `pow1/2`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-up`
4×	`sqrt-div` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr`
1×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 156

Calls

4 calls:

7.0ms	(/ (* a c) b)
8.0ms	(/ (* a c) b)
84.0ms	(/ (/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) 2.0) a)
31.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* a c) b)
30.0ms	(/ (* a c) b)
70.0ms	(/ (/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) 2.0) a)
63.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

simplify2.2s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
2	3689
1	575
0	231

prune902.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 4.9b

regimes915.0ms

Accuracy

0% (6.9b remaining)

Error of 12.1b against oracle of 5.2b and baseline of 12.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	8189×	body	80	nan
863.0ms	4872×	body	160	valid
749.0ms	16189×	pre	80	true
311.0ms	1343×	body	320	valid
131.0ms	1785×	body	80	valid