Details

sample195.0ms

Algorithm

intervals

Results

43.0ms	157×	body	160	valid
39.0ms	301×	body	80	nan
36.0ms	557×	pre	80	true
19.0ms	45×	body	320	valid
7.0ms	54×	body	80	valid

simplify130.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
37.3b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite175.0ms

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:

14.0ms	(- (* b b) (* (* 3 a) c))
17.0ms	(* (* 3 a) c)
93.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
48.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series390.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (* b b) (* (* 3 a) c))
36.0ms	(* (* 3 a) c)
156.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
114.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts

91 → 91

Iterations

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

prune663.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.4b

localize15.0ms

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

prune91.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.4b

localize35.0ms

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))

rewrite77.0ms

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:

17.0ms	(/ (* a c) b)
24.0ms	(* -3/2 (/ (* a c) b))
34.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series123.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* a c) b)
51.0ms	(* -3/2 (/ (* a c) b))
36.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify983.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	2001
1	382
0	126

prune483.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ b (* a c)))
0.3b	(* -3/2 (/ 1 (/ b (* a c))))
0.3b	(/ b (* a c))
0.3b	(/ (* -3/2 (/ 1 (/ b (* a c)))) (* 3 a))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-exp-log`
77×	`add-cbrt-cube`
72×	`div-exp`
69×	`times-frac`
54×	`prod-exp`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`cbrt-undiv`
26×	`associate-r`
22×	`cbrt-unprod`
12×	`rec-exp` `1-exp`
11×	`div-inv`
9×	`associate-/r*`
7×	`pow1` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `unswap-sqr`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 185

Calls

4 calls:

22.0ms	(/ 1 (/ b (* a c)))
51.0ms	(* -3/2 (/ 1 (/ b (* a c))))
19.0ms	(/ b (* a c))
54.0ms	(/ (* -3/2 (/ 1 (/ b (* a c)))) (* 3 a))

series157.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (/ b (* a c)))
48.0ms	(* -3/2 (/ 1 (/ b (* a c))))
40.0ms	(/ b (* a c))
29.0ms	(/ (* -3/2 (/ 1 (/ b (* a c)))) (* 3 a))

simplify1.1s

Counts

197 → 197

Iterations

Iter	Nodes
done	2001
2	2001
1	671
0	242

prune709.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.4b

regimes868.0ms

Accuracy

0% (6.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.1s	16314×	pre	80	true
1.3s	4795×	body	160	valid
1.1s	8314×	body	80	nan
718.0ms	1423×	body	320	valid
255.0ms	1782×	body	80	valid