Details

sample139.0ms

Algorithm

intervals

Results

38.0ms	278×	body	80	nan
33.0ms	156×	body	160	valid
25.0ms	534×	pre	80	true
16.0ms	45×	body	320	valid
6.0ms	55×	body	80	valid

simplify129.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	98
7	98
6	97
5	95
4	87
3	70
2	43
1	24
0	14

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4)))
0.1b	(- (* b b) (* (* c a) 4))
0.2b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
39.2b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite177.0ms

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:

14.0ms	(sqrt (- (* b b) (* (* c a) 4)))
15.0ms	(- (* b b) (* (* c a) 4))
92.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
54.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series378.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (- (* b b) (* (* c a) 4)))
58.0ms	(- (* b b) (* (* c a) 4))
145.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
96.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
3	3594
2	1093
1	398
0	161

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.1b

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
1	0
0	0

prune60.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* -2 (/ (* a c) b)) a)
0.2b	(/ (* a c) b)

rewrite49.0ms

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:

34.0ms	(/ (* -2 (/ (* a c) b)) a)
14.0ms	(/ (* a c) b)

series64.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (* -2 (/ (* a c) b)) a)
39.0ms	(/ (* a c) b)

simplify2.7s

Counts

55 → 55

Iterations

Iter	Nodes
3	6587
2	1060
1	263
0	99

prune629.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.1b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:

40.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify10.2s

Counts

29 → 29

Iterations

Iter	Nodes
3	14092
2	1338
1	217
0	68

prune194.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 5.1b

regimes468.0ms

Accuracy

13.1% (5.9b remaining)

Error of 11.0b against oracle of 5.1b and baseline of 11.9b

bsearch34.0ms

Steps

Iters	Range		Point
2	5.2737518596891653e-05	5.832957080902451e-05	5.343652512340826e-05

simplify13.0ms

Iterations

Iter	Nodes
2	35
1	35
0	26

end0.0ms

sample5.7s

Algorithm

intervals

Results

1.9s	4858×	body	160	valid
1.1s	8382×	body	80	nan
1.0s	16382×	pre	80	true
954.0ms	1360×	body	320	valid
280.0ms	1782×	body	80	valid