Details

sample177.0ms

Algorithm

intervals

Results

68.0ms	152×	body	160	valid
30.0ms	258×	body	80	nan
30.0ms	514×	pre	80	true
15.0ms	49×	body	320	valid
8.0ms	55×	body	80	valid

simplify111.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
36.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite152.0ms

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:

13.0ms	(- (* b b) (* (* 3 a) c))
14.0ms	(* (* 3 a) c)
64.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
59.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series371.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* b b) (* (* 3 a) c))
34.0ms	(* (* 3 a) c)
148.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
125.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1459
1	424
0	158

prune503.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

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

prune57.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.2b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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:

24.0ms	(/ (* a c) b)
23.0ms	(* -3/2 (/ (* a c) b))
18.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series101.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (* a c) b)
48.0ms	(* -3/2 (/ (* a c) b))
27.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
2	2261
1	382
0	126

prune507.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

9.0ms	(* a (/ c b))
22.0ms	(* -3/2 (* a (/ c b)))
28.0ms	(/ (* -3/2 (* a (/ c b))) (* 3 a))

series93.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* a (/ c b))
34.0ms	(* -3/2 (* a (/ c b)))
32.0ms	(/ (* -3/2 (* a (/ c b))) (* 3 a))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5292
2	2123
1	413
0	142

prune375.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.1b

regimes693.0ms

Accuracy

-9.6% (7.4b remaining)

Error of 12.6b against oracle of 5.2b and baseline of 11.9b

bsearch23.0ms

Steps

Iters	Range		Point
2	57.94671676530687	64.00467477206256	58.70366934289741

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.4s	8276×	body	80	nan
1.2s	4828×	body	160	valid
898.0ms	16276×	pre	80	true
614.0ms	1393×	body	320	valid
183.0ms	1779×	body	80	valid