Details

sample379.0ms

Algorithm

intervals

Results

160.0ms	118×	body	320	valid
52.0ms	98×	body	160	valid
34.0ms	254×	body	80	nan
30.0ms	510×	pre	80	true
7.0ms	11×	body	640	valid
4.0ms	29×	body	80	valid

simplify105.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4)))
0.1b	(- (* b b) (* (* c a) 4))
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
28.4b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite140.0ms

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:

15.0ms	(sqrt (- (* b b) (* (* c a) 4)))
10.0ms	(- (* b b) (* (* c a) 4))
64.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
48.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series437.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (- (* b b) (* (* c a) 4)))
64.0ms	(- (* b b) (* (* c a) 4))
146.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
116.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
3	3594
2	1093
1	398
0	161

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.3b

localize9.0ms

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

prune52.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.3b

localize30.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(/ (* -2 (/ (* a c) b)) a)

rewrite25.0ms

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:

9.0ms	(/ (* a c) b)
15.0ms	(/ (* -2 (/ (* a c) b)) a)

series64.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (* a c) b)
30.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify3.2s

Counts

55 → 55

Iterations

Iter	Nodes
3	6821
2	1066
1	263
0	99

prune541.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`div-exp`
4×	`cbrt-undiv` `prod-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `times-frac` `add-cube-cbrt` `associate-/l`
2×	`1-exp` `cbrt-unprod`
1×	`pow1` `clear-num` `associate-/r` `frac-2neg` `associate-r/` `associate-/r/` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

11.0ms

(/ -2 (* 1 (/ b c)))

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ -2 (* 1 (/ b c)))

simplify4.4s

Counts

30 → 30

Iterations

Iter	Nodes
4	5535
3	1450
2	416
1	156
0	70

prune222.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 3.2b

regimes456.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.1s	8127×	body	80	nan
1.7s	3603×	body	320	valid
991.0ms	16127×	pre	80	true
905.0ms	2990×	body	160	valid
333.0ms	492×	body	640	valid
218.0ms	915×	body	80	valid