Details

sample157.0ms

Algorithm

intervals

Results

51.0ms	566×	pre	80	true
35.0ms	310×	body	80	nan
32.0ms	132×	body	160	valid
15.0ms	124×	body	80	valid

simplify459.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4)))
0.2b	(- (* b b) (* (* c a) 4))
0.3b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
27.9b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite185.0ms

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))
86.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
68.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series444.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (- (* b b) (* (* c a) 4)))
57.0ms	(- (* b b) (* (* c a) 4))
163.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
99.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.8s

Counts

100 → 100

Iterations

Iter	Nodes
3	3594
2	1093
1	398
0	161

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.2b

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

prune91.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.2b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

16.0ms	(/ (* a c) b)
30.0ms	(/ (* -2 (/ (* a c) b)) a)

series53.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.8s

Counts

55 → 55

Iterations

Iter	Nodes
3	6821
2	1066
1	263
0	99

prune580.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 9.1b

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

prune1.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 9.1b

regimes699.0ms

Accuracy

47.4% (7.0b remaining)

Error of 16.2b against oracle of 9.2b and baseline of 22.6b

bsearch4.0ms

Steps

Iters	Range		Point
0	1072.0421178334989	1095.414553911296	1083.7283358723973

simplify14.0ms

Iterations

Iter	Nodes
2	35
1	35
0	26

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.5s	16582×	pre	80	true
1.3s	4543×	body	160	valid
1.2s	8582×	body	80	nan
569.0ms	3456×	body	80	valid
1.0ms	1×	body	320	valid