Details

sample527.0ms

Algorithm

intervals

Results

106.0ms	117×	body	320	valid
42.0ms	255×	body	80	nan
37.0ms	511×	pre	80	true
26.0ms	88×	body	160	valid
12.0ms	19×	body	640	valid
7.0ms	32×	body	80	valid

simplify95.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize36.0ms

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)
25.0b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite293.0ms

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)))
16.0ms	(- (* b b) (* (* c a) 4))
197.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
60.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series511.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (- (* b b) (* (* c a) 4)))
81.0ms	(- (* b b) (* (* c a) 4))
174.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
153.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
3	3663
2	1093
1	400
0	161

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize19.0ms

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

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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

series67.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (* -2 (/ (* a c) b)) a)
35.0ms	(/ (* a c) b)

simplify3.0s

Counts

55 → 55

Iterations

Iter	Nodes
3	6549
2	1058
1	265
0	99

prune615.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

18.0ms	(/ (* -2 (/ a (/ b c))) a)
6.0ms	(/ a (/ b c))

series62.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (* -2 (/ a (/ b c))) a)
37.0ms	(/ a (/ b c))

simplify4.0s

Counts

104 → 104

Iterations

Iter	Nodes
3	7268
2	1741
1	502
0	198

prune985.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.6b

regimes474.0ms

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

sample6.6s

Algorithm

intervals

Results

1.7s	3667×	body	320	valid
1.6s	16020×	pre	80	true
1.2s	8020×	body	80	nan
808.0ms	2930×	body	160	valid
754.0ms	483×	body	640	valid
119.0ms	920×	body	80	valid