Details

sample260.0ms

Algorithm

intervals

Results

70.0ms	510×	pre	80	true
38.0ms	120×	body	320	valid
25.0ms	254×	body	80	nan
22.0ms	97×	body	160	valid
5.0ms	13×	body	640	valid
3.0ms	26×	body	80	valid

simplify191.0ms

Counts

1 → 1

Iterations

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

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4)))
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.1b	(- (* b b) (* (* c a) 4))
26.3b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite282.0ms

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:

9.0ms	(sqrt (- (* b b) (* (* c a) 4)))
158.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
22.0ms	(- (* b b) (* (* c a) 4))
89.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series361.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sqrt (- (* b b) (* (* c a) 4)))
106.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
50.0ms	(- (* b b) (* (* c a) 4))
103.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
3	3590
2	1095
1	398
0	161

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize12.0ms

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

prune30.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

11.0ms	(/ (* a c) b)
18.0ms	(/ (* -2 (/ (* a c) b)) a)

series69.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (* a c) b)
36.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify3.5s

Counts

55 → 55

Iterations

Iter	Nodes
3	6821
2	1066
1	263
0	99

prune551.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

31.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify10.4s

Counts

29 → 29

Iterations

Iter	Nodes
3	14092
2	1338
1	217
0	68

prune212.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 2.6b

regimes437.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.7s	8382×	body	80	nan
1.6s	3599×	body	320	valid
982.0ms	16382×	pre	80	true
827.0ms	2915×	body	160	valid
375.0ms	519×	body	640	valid
206.0ms	967×	body	80	valid