Details

sample141.0ms

Algorithm

intervals

Results

37.0ms	256×	body	80	nan
30.0ms	139×	body	160	valid
24.0ms	512×	pre	80	true
18.0ms	56×	body	320	valid
7.0ms	61×	body	80	valid

simplify161.0ms

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: 44.0b

localize26.0ms

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)
37.9b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite169.0ms

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)))
14.0ms	(- (* b b) (* (* c a) 4))
88.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
50.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series401.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(sqrt (- (* b b) (* (* c a) 4)))
56.0ms	(- (* b b) (* (* c a) 4))
130.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
119.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.8s

Counts

100 → 100

Iterations

Iter	Nodes
3	3594
2	1093
1	398
0	161

prune620.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.4b

localize8.0ms

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

prune59.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.4b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:

23.0ms	(/ (* a c) b)
31.0ms	(/ (* -2 (/ (* a c) b)) a)

series71.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (* a c) b)
35.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify3.1s

Counts

55 → 55

Iterations

Iter	Nodes
3	6821
2	1066
1	263
0	99

prune275.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 4.3b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 98

Calls

2 calls:

5.0ms	(/ a (/ b c))
22.0ms	(/ (* -2 (/ a (/ b c))) a)

series48.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ a (/ b c))
22.0ms	(/ (* -2 (/ a (/ b c))) a)

simplify4.2s

Counts

104 → 104

Iterations

Iter	Nodes
3	6828
2	1673
1	503
0	198

prune407.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 4.3b

regimes702.0ms

Accuracy

6.3% (6.2b remaining)

Error of 11.0b against oracle of 4.8b and baseline of 11.5b

bsearch41.0ms

Steps

Iters	Range		Point
2	0.09825587916722509	0.10795645039315663	0.09946845057046652

simplify6.0ms

Iterations

Iter	Nodes
2	35
1	35
0	26

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.4s	8275×	body	80	nan
1.4s	4809×	body	160	valid
1.0s	16275×	pre	80	true
611.0ms	1479×	body	320	valid
236.0ms	1712×	body	80	valid