Details

sample106.0ms

Algorithm

intervals

Results

26.0ms	525×	pre	80	true
20.0ms	171×	body	160	valid
15.0ms	269×	body	80	nan
6.0ms	33×	body	320	valid
3.0ms	52×	body	80	valid

simplify78.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize24.0ms

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)

rewrite178.0ms

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))
19.0ms	(* (* 3.0 a) c)
104.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
47.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series460.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (* b b) (* (* 3.0 a) c))
44.0ms	(* (* 3.0 a) c)
177.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
148.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	2483
1	428
0	155

prune506.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize9.0ms

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

prune77.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.5b

localize15.0ms

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))

rewrite57.0ms

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:

16.0ms	(/ (* a c) b)
18.0ms	(* -1.5 (/ (* a c) b))
18.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series109.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (* a c) b)
41.0ms	(* -1.5 (/ (* a c) b))
34.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	2789
1	391
0	123

prune462.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.5b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-cbrt-cube` `add-exp-log`
57×	`times-frac`
54×	`add-sqr-sqrt`
46×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-r`
39×	`prod-exp` `cbrt-unprod`
31×	`cbrt-undiv` `div-exp` `sqrt-prod`
11×	`pow1`
7×	`associate-/r` `associate-r/`
4×	`associate-l` `pow-prod-down` `div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative`

Counts

4 → 173

Calls

4 calls:

10.0ms	(/ a (sqrt b))
27.0ms	(* -1.5 (/ a (sqrt b)))
46.0ms	(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))
59.0ms	(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ a (sqrt b))
83.0ms	(* -1.5 (/ a (sqrt b)))
62.0ms	(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))
81.0ms	(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))

simplify1.3s

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
1	915
0	285

prune797.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.4b

regimes883.0ms

Accuracy

0% (6.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.7s

Algorithm

intervals

Results

959.0ms	16141×	pre	80	true
805.0ms	4835×	body	160	valid
635.0ms	8141×	body	80	nan
360.0ms	1387×	body	320	valid
116.0ms	1778×	body	80	valid