Details

sample459.0ms

Algorithm

intervals

Results

87.0ms	548×	pre	80	true
72.0ms	124×	body	320	valid
53.0ms	292×	body	80	nan
35.0ms	89×	body	160	valid
16.0ms	21×	body	640	valid
4.0ms	22×	body	80	valid

simplify174.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	98
7	98
6	97
5	95
4	87
3	70
2	43
1	24
0	14

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4)))
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.1b	(- (* b b) (* (* c a) 4))
23.5b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

127×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
40×	`difference-of-squares`
36×	`unswap-sqr`
29×	`sqrt-prod`
18×	`times-frac` `associate-l`
17×	`distribute-lft-out--`
16×	`add-cube-cbrt`
8×	`add-log-exp`
6×	`add-cbrt-cube` `swap-sqr` `add-exp-log` `-commutative` `associate-/l`
5×	`pow1`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 130

Calls

4 calls:

136.0ms	(sqrt (- (* b b) (* (* c a) 4)))
1.4s	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
103.0ms	(- (* b b) (* (* c a) 4))
750.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series455.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(sqrt (- (* b b) (* (* c a) 4)))
140.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
76.0ms	(- (* b b) (* (* c a) 4))
133.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.2s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	1473
1	491
0	206

prune739.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.1b

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

prune43.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

341×	`times-frac`
249×	`add-sqr-sqrt`
211×	`associate-r`
181×	`*-un-lft-identity`
179×	`add-cube-cbrt`
77×	`associate-/l*`
64×	`associate-l`
33×	`unswap-sqr`
21×	`add-cbrt-cube` `add-exp-log` `*-commutative` `associate-/l/`
18×	`associate-*r/`
9×	`associate-/r*`
8×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`prod-exp` `cbrt-unprod`
4×	`clear-num`
3×	`frac-2neg` `un-div-inv`
2×	`pow1` `insert-posit16` `add-log-exp`

Counts

2 → 313

Calls

2 calls:

19.0ms	(/ (* a c) b)
136.0ms	(/ (* -2 (/ (* a c) b)) a)

series71.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.6s

Counts

319 → 319

Iterations

Iter	Nodes
done	5001
1	1530
0	523

prune1.5s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.1b

localize42.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* -2 (* a c)) (sqrt a))
0.3b	(* (/ (* -2 (* a c)) (sqrt a)) (/ (/ 1 b) (sqrt a)))
0.4b	(/ (/ 1 b) (sqrt a))

rewrite720.0ms

Algorithm

rewrite-expression-head

Rules

1436×	`add-sqr-sqrt`
1257×	`associate-/l*`
961×	`frac-times`
937×	`times-frac`
899×	`*-un-lft-identity`
883×	`add-cube-cbrt`
757×	`associate-r`
495×	`associate-/r*`
450×	`sqrt-prod`
406×	`associate-l`
300×	`associate-/l/`
271×	`unswap-sqr`
111×	`add-exp-log`
101×	`clear-num`
99×	`frac-2neg`
91×	`*-commutative`
71×	`add-cbrt-cube`
50×	`div-inv`
48×	`div-exp`
38×	`prod-exp`
31×	`associate-l/` `associate-r/`
27×	`cbrt-undiv`
24×	`cbrt-unprod`
6×	`un-div-inv`
5×	`pow1` `rec-exp` `1-exp`
3×	`insert-posit16` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 1638

Calls

3 calls:

74.0ms	(/ (* -2 (* a c)) (sqrt a))
500.0ms	(* (/ (* -2 (* a c)) (sqrt a)) (/ (/ 1 b) (sqrt a)))
18.0ms	(/ (/ 1 b) (sqrt a))

series637.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(/ (* -2 (* a c)) (sqrt a))
473.0ms	(* (/ (* -2 (* a c)) (sqrt a)) (/ (/ 1 b) (sqrt a)))
66.0ms	(/ (/ 1 b) (sqrt a))

simplify2.7s

Counts

1647 → 1647

Iterations

Iter	Nodes
done	5000
0	1880

prune7.0s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.1b

regimes452.0ms

Accuracy

0% (3.2b remaining)

Error of 5.8b against oracle of 2.7b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.1s	3661×	body	320	valid
1.5s	16025×	pre	80	true
1.2s	8025×	body	80	nan
1.1s	2972×	body	160	valid
352.0ms	510×	body	640	valid
138.0ms	857×	body	80	valid