Details

sample126.0ms

Algorithm

intervals

Results

39.0ms	259×	body	80	nan
29.0ms	151×	body	160	valid
20.0ms	515×	pre	80	true
13.0ms	49×	body	320	valid
5.0ms	56×	body	80	valid

simplify74.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4)))
0.1b	(- (* b b) (* (* c a) 4))
0.2b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
35.7b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite139.0ms

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:

7.0ms	(sqrt (- (* b b) (* (* c a) 4)))
7.0ms	(- (* b b) (* (* c a) 4))
87.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
37.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series425.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(sqrt (- (* b b) (* (* c a) 4)))
72.0ms	(- (* b b) (* (* c a) 4))
130.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
106.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify3.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
3	4569
2	1103
1	400
0	161

prune613.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.4b

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
done	0
0	0

prune83.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.4b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

8.0ms	(/ (* a c) b)
15.0ms	(/ (* -2 (/ (* a c) b)) a)

series58.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (* a c) b)
34.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1437
1	278
0	99

prune328.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.3b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`times-frac`
13×	`-un-lft-identity` `associate-l*`
12×	`add-cube-cbrt`
9×	`div-exp`
8×	`prod-exp`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`rec-exp` `1-exp` `associate-*l/` `insert-posit16` `div-inv` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-/r/` `-commutative`

Counts

2 → 63

Calls

2 calls:

16.0ms	(/ -2 (* (/ 1 c) b))
19.0ms	(* (/ 1 c) b)

series45.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ -2 (* (/ 1 c) b))
15.0ms	(* (/ 1 c) b)

simplify2.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5084
3	3900
2	900
1	271
0	111

prune258.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.3b

regimes531.0ms

Accuracy

0% (6.8b remaining)

Error of 12.0b against oracle of 5.2b and baseline of 12.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample5.7s

Algorithm

intervals

Results

1.8s	4837×	body	160	valid
1.3s	8353×	body	80	nan
974.0ms	1380×	body	320	valid
931.0ms	16353×	pre	80	true
259.0ms	1783×	body	80	valid