Details

sample56.0ms

Algorithm

intervals

Results

14.0ms	138×	body	320	valid
9.0ms	488×	pre	80	true
8.0ms	232×	body	80	nan
6.0ms	88×	body	160	valid
1.0ms	10×	body	640	valid
1.0ms	20×	body	80	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	17
1	24	17
2	44	16
3	78	16
4	90	16
5	98	16
done	98	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.1b	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
26.1b	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/l*`
16×	`sqrt-prod`
13×	`distribute-lft-out--`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `div-inv`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r*` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 149

Calls

4 calls:

3.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
2.0ms	(- (* b b) (* (* 4.0 a) c))
35.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
20.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series318.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
50.0ms	(- (* b b) (* (* 4.0 a) c))
110.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
81.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify945.0ms

Counts

161 → 161

Iterations

Useful iterations: done (939.0ms)

Iter	Nodes	Cost
0	280	4083
1	665	3911
2	2176	3753
done	5000	3752

prune456.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune35.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
0.3b	(/ (* a c) b)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
6×	`associate-/r*` `div-inv`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 73

Calls

2 calls:

10.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
3.0ms	(/ (* a c) b)

series43.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
20.0ms	(/ (* a c) b)

simplify605.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	167	1164
1	440	1118
2	1944	956
done	5001	956

prune190.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ a (/ (* -2.0 (/ (* a c) b)) 2.0))
0.3b	(/ 1 (/ a (/ (* -2.0 (/ (* a c) b)) 2.0)))
0.3b	(/ (* a c) b)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
104×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
97×	`add-exp-log`
58×	`div-exp`
55×	`add-cbrt-cube`
36×	`associate-/r*`
30×	`cbrt-undiv`
23×	`div-inv`
17×	`prod-exp`
9×	`cbrt-unprod`
7×	`associate-/l*`
6×	`rec-exp` `1-exp` `associate-/r/`
4×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 217

Calls

3 calls:

8.0ms	(/ a (/ (* -2.0 (/ (* a c) b)) 2.0))
19.0ms	(/ 1 (/ a (/ (* -2.0 (/ (* a c) b)) 2.0)))
3.0ms	(/ (* a c) b)

series65.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ a (/ (* -2.0 (/ (* a c) b)) 2.0))
25.0ms	(/ 1 (/ a (/ (* -2.0 (/ (* a c) b)) 2.0)))
20.0ms	(/ (* a c) b)

simplify1.1s

Counts

226 → 226

Iterations

Useful iterations: 2 (451.0ms)

Iter	Nodes	Cost
0	356	4443
1	889	3935
2	3095	3414
done	5000	3414

prune313.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 2.5b

regimes238.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

377.0ms	3618×	body	320	valid
300.0ms	16096×	pre	80	true
266.0ms	8096×	body	80	nan
202.0ms	2913×	body	160	valid
73.0ms	528×	body	640	valid
33.0ms	941×	body	80	valid