Details

sample442.0ms

Algorithm

intervals

Results

92.0ms	306×	body	80	nan
85.0ms	91×	body	160	valid
47.0ms	112×	body	320	valid
38.0ms	16×	body	640	valid
34.0ms	562×	pre	80	true
5.0ms	37×	body	80	valid

simplify116.0ms

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.7b

localize32.0ms

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)
24.7b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite117.0ms

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))
66.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
34.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series353.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (- (* b b) (* (* c a) 4)))
58.0ms	(- (* b b) (* (* c a) 4))
110.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
99.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	2005
3	2005
2	1103
1	400
0	161

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.0b

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
done	0
0	0

prune69.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:

17.0ms	(/ (* a c) b)
31.0ms	(/ (* -2 (/ (* a c) b)) a)

series55.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (* a c) b)
22.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	2005
3	2005
2	1437
1	278
0	99

prune543.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ b c) (* (/ b c) (/ b c)))
0.4b	(/ (* (* a a) a) (* (/ b c) (* (/ b c) (/ b c))))
0.5b	(* (/ b c) (/ b c))
0.6b	(cbrt (/ (* (/ (* (* a a) a) (* (/ b c) (* (/ b c) (/ b c)))) -8) (* (* a a) a)))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

249×	`add-cbrt-cube` `add-exp-log`
109×	`prod-exp` `cbrt-unprod`
89×	`cbrt-undiv` `div-exp`
55×	`add-sqr-sqrt`
52×	`times-frac`
40×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-l`
25×	`pow1`
14×	`associate-r`
13×	`swap-sqr`
11×	`frac-times` `associate-*r/`
7×	`associate-*l/` `associate-/r/` `div-inv`
6×	`pow-prod-up` `unswap-sqr`
5×	`cbrt-prod`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus` `pow-sqr` `*-commutative`
1×	`cbrt-div` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `cube-unmult` `associate-/l`

Counts

4 → 229

Calls

4 calls:

49.0ms	(* (/ b c) (* (/ b c) (/ b c)))
76.0ms	(/ (* (* a a) a) (* (/ b c) (* (/ b c) (/ b c))))
13.0ms	(* (/ b c) (/ b c))
184.0ms	(cbrt (/ (* (/ (* (* a a) a) (* (/ b c) (* (/ b c) (/ b c)))) -8) (* (* a a) a)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (/ b c) (* (/ b c) (/ b c)))
146.0ms	(/ (* (* a a) a) (* (/ b c) (* (/ b c) (/ b c))))
43.0ms	(* (/ b c) (/ b c))
97.0ms	(cbrt (/ (* (/ (* (* a a) a) (* (/ b c) (* (/ b c) (/ b c)))) -8) (* (* a a) a)))

simplify1.2s

Counts

241 → 241

Iterations

Iter	Nodes
done	2001
2	2001
1	962
0	288

prune3.0s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 3.0b

regimes997.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.6b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample6.3s

Algorithm

intervals

Results

1.7s	3649×	body	320	valid
1.6s	16269×	pre	80	true
1.2s	8269×	body	80	nan
839.0ms	2924×	body	160	valid
313.0ms	497×	body	640	valid
121.0ms	930×	body	80	valid