Details

sample141.0ms

Algorithm

intervals

Results

51.0ms	267×	body	80	nan
32.0ms	164×	body	160	valid
23.0ms	523×	pre	80	true
10.0ms	32×	body	320	valid
6.0ms	60×	body	80	valid

simplify82.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4)))
0.2b	(- (* b b) (* (* c a) 4))
0.2b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
40.0b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
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 → 88

Calls

4 calls:

13.0ms	(sqrt (- (* b b) (* (* c a) 4)))
14.0ms	(- (* b b) (* (* c a) 4))
113.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
63.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series354.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sqrt (- (* b b) (* (* c a) 4)))
64.0ms	(- (* b b) (* (* c a) 4))
99.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
117.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify883.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2005
3	2005
2	1103
1	400
0	161

prune961.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.3b

localize16.0ms

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

prune74.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.3b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 49

Calls

2 calls:

13.0ms	(/ (* a c) b)
15.0ms	(/ (* -2 (/ (* a c) b)) a)

series53.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (* a c) b)
30.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify997.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	2005
3	2005
2	1437
1	278
0	99

prune625.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.2b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
1×	`add-sqr-sqrt` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

28.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify849.0ms

Counts

29 → 29

Iterations

Iter	Nodes
done	2017
3	2017
2	1342
1	219
0	68

prune196.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.2b

regimes521.0ms

Accuracy

0% (7.0b remaining)

Error of 12.0b against oracle of 4.9b and baseline of 12.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.8s	4798×	body	160	valid
1.1s	8337×	body	80	nan
1.1s	16337×	pre	80	true
620.0ms	1403×	body	320	valid
233.0ms	1799×	body	80	valid