Details

sample179.0ms

Algorithm

intervals

Results

42.0ms	144×	body	160	valid
37.0ms	530×	pre	80	true
37.0ms	274×	body	80	nan
22.0ms	51×	body	320	valid
9.0ms	61×	body	80	valid

simplify149.0ms

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
36.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite213.0ms

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:

8.0ms	(- (* b b) (* (* 3 a) c))
30.0ms	(* (* 3 a) c)
122.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
52.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series278.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* b b) (* (* 3 a) c))
21.0ms	(* (* 3 a) c)
110.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
93.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	2000
3	2000
2	1459
1	424
0	158

prune980.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.1b

localize8.0ms

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

prune85.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite75.0ms

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)
30.0ms	(* -3/2 (/ (* a c) b))
35.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series86.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (* a c) b)
31.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify918.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	2001
1	382
0	126

prune796.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 5.1b

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
done	0
0	0

prune1.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.1b

regimes767.0ms

Accuracy

3.2% (6.2b remaining)

Error of 11.3b against oracle of 5.1b and baseline of 11.5b

bsearch108.0ms

Steps

Iters	Range		Point
1	1.3546780925209572	1.423268353397928	1.3718256577401997
3	0.012612623406321986	0.015300384142464521	0.015132399096455612
4	3.731177818161713e-05	7.441032871518307e-05	3.826212081602258e-05

simplify12.0ms

Iterations

Iter	Nodes
done	48
1	48
0	37

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.5s	16060×	pre	80	true
1.3s	4893×	body	160	valid
1.0s	8060×	body	80	nan
516.0ms	1393×	body	320	valid
264.0ms	1714×	body	80	valid