Details

sample111.0ms

Algorithm

intervals

Results

40.0ms	146×	body	160	valid
15.0ms	250×	body	80	nan
15.0ms	506×	pre	80	true
7.0ms	110×	body	80	valid

simplify70.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	104
5	104
4	96
3	76
2	41
1	21
0	12

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a)
0.2b	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
0.3b	(* (* 3.0 a) c)
29.5b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
147×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
79×	`add-cube-cbrt`
34×	`difference-of-squares`
28×	`associate-/l*`
17×	`sqrt-prod` `distribute-lft-out--`
16×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r*` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

98.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a)
72.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
19.0ms	(* (* 3.0 a) c)
63.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series491.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a)
182.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
33.0ms	(* (* 3.0 a) c)
126.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.5s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	3408
1	700
0	280

prune1.2s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 8.7b

localize5.0ms

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

prune147.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 8.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ -1.5 (/ b (* a c)))
0.2b	(/ (/ (/ -1.5 (/ b (* a c))) a) 3.0)
0.2b	(/ (/ -1.5 (/ b (* a c))) a)
0.3b	(/ b (* a c))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

1152×	`times-frac`
464×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
114×	`associate-/l*`
76×	`div-inv`
52×	`add-cbrt-cube` `add-exp-log`
30×	`cbrt-undiv` `div-exp`
17×	`associate-/r/`
14×	`associate-/r*`
4×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 547

Calls

4 calls:

9.0ms	(/ -1.5 (/ b (* a c)))
70.0ms	(/ (/ (/ -1.5 (/ b (* a c))) a) 3.0)
21.0ms	(/ (/ -1.5 (/ b (* a c))) a)
6.0ms	(/ b (* a c))

series126.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ -1.5 (/ b (* a c)))
22.0ms	(/ (/ (/ -1.5 (/ b (* a c))) a) 3.0)
20.0ms	(/ (/ -1.5 (/ b (* a c))) a)
30.0ms	(/ b (* a c))

simplify1.4s

Counts

559 → 559

Iterations

Iter	Nodes
done	5000
1	2464
0	904

prune3.5s

Pruning

48 alts after pruning (48 fresh and 0 done)

Merged error: 8.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ -1.5 (/ b c)) a)
0.2b	(* a (/ (/ (/ -1.5 (/ b c)) a) 3.0))
0.2b	(/ -1.5 (/ b c))
0.2b	(/ (/ (/ -1.5 (/ b c)) a) 3.0)

rewrite488.0ms

Algorithm

rewrite-expression-head

Rules

3607×	`times-frac`
1576×	`add-sqr-sqrt`
1556×	`*-un-lft-identity` `add-cube-cbrt`
412×	`associate-r`
183×	`associate-/l*`
115×	`div-inv`
52×	`add-cbrt-cube` `add-exp-log`
29×	`cbrt-undiv` `div-exp`
26×	`associate-/r/`
19×	`associate-/r*`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-/l/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 1272

Calls

4 calls:

27.0ms	(/ (/ -1.5 (/ b c)) a)
199.0ms	(* a (/ (/ (/ -1.5 (/ b c)) a) 3.0))
7.0ms	(/ -1.5 (/ b c))
65.0ms	(/ (/ (/ -1.5 (/ b c)) a) 3.0)

series138.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (/ -1.5 (/ b c)) a)
35.0ms	(* a (/ (/ (/ -1.5 (/ b c)) a) 3.0))
19.0ms	(/ -1.5 (/ b c))
51.0ms	(/ (/ (/ -1.5 (/ b c)) a) 3.0)

simplify1.5s

Counts

1284 → 1284

Iterations

Iter	Nodes
done	5000
0	1827

prune8.6s

Pruning

53 alts after pruning (53 fresh and 0 done)

Merged error: 8.5b

regimes1.4s

Accuracy

47.6% (7.1b remaining)

Error of 16.1b against oracle of 9.0b and baseline of 22.6b

bsearch4.0ms

Steps

Iters	Range		Point
0	313.18788541642925	317.78179210620726	315.48483876131826

simplify2.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	8401×	body	80	nan
788.0ms	4524×	body	160	valid
687.0ms	16401×	pre	80	true
297.0ms	3476×	body	80	valid