Details

sample139.0ms

Algorithm

intervals

Results

42.0ms	261×	body	80	nan
30.0ms	130×	body	160	valid
30.0ms	517×	pre	80	true
14.0ms	126×	body	80	valid

simplify88.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 a) c)
0.3b	(- (* b b) (* (* 3 a) c))
0.4b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
26.1b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite171.0ms

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` `insert-posit16`
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 → 79

Calls

4 calls:

23.0ms	(* (* 3 a) c)
7.0ms	(- (* b b) (* (* 3 a) c))
71.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
69.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series374.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* 3 a) c)
79.0ms	(- (* b b) (* (* 3 a) c))
168.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
97.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify4.6s

Counts

91 → 91

Iterations

Iter	Nodes
3	6089
2	1477
1	422
0	158

prune967.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 10.0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune45.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 10.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.3b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite39.0ms

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` `insert-posit16` `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 → 81

Calls

3 calls:

9.0ms	(/ (* a c) b)
12.0ms	(* -3/2 (/ (* a c) b))
17.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series76.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* a c) b)
32.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify9.9s

Counts

90 → 90

Iterations

Iter	Nodes
3	14826
2	1821
1	365
0	126

prune791.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 9.9b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune1.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 9.9b

regimes819.0ms

Accuracy

44.6% (7.4b remaining)

Error of 16.5b against oracle of 9.1b and baseline of 22.4b

bsearch13.0ms

Steps

Iters	Range		Point
1	105.91878804894776	111.55246949000541	107.32720840921216

simplify5.0ms

Iterations

Iter	Nodes
2	33
1	33
0	24

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	16564×	pre	80	true
1.3s	4519×	body	160	valid
1.0s	8564×	body	80	nan
502.0ms	3481×	body	80	valid