Details

sample116.0ms

Algorithm

intervals

Results

43.0ms	121×	body	320	valid
20.0ms	471×	pre	80	true
15.0ms	215×	body	80	nan
13.0ms	93×	body	160	valid
4.0ms	13×	body	640	valid
2.0ms	29×	body	80	valid

simplify101.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
25.6b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3 a) c))
102.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
17.0ms	(* (* 3 a) c)
79.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series404.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* b b) (* (* 3 a) c))
176.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
40.0ms	(* (* 3 a) c)
110.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.6s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1457
1	423
0	158

prune465.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.8b

localize7.0ms

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

prune30.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 81

Calls

3 calls:

20.0ms	(/ (* a c) b)
34.0ms	(* -3/2 (/ (* a c) b))
35.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series91.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (* a c) b)
36.0ms	(* -3/2 (/ (* a c) b))
23.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
2	2261
1	382
0	126

prune337.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (* (/ (/ a -1/2) (* a c)) b))
0.3b	(/ (/ a -1/2) (* a c))
0.3b	(* (/ (/ a -1/2) (* a c)) b)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-exp-log`
58×	`add-cbrt-cube`
56×	`times-frac`
42×	`div-exp`
30×	`add-sqr-sqrt` `prod-exp`
28×	`*-un-lft-identity` `add-cube-cbrt`
24×	`cbrt-undiv`
17×	`associate-l`
16×	`cbrt-unprod` `associate-/l*`
8×	`pow1`
6×	`rec-exp` `1-exp` `div-inv`
3×	`associate-r` `insert-posit16` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-l/` `pow-flip`
1×	`associate-/r/` `*-commutative` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

3 → 135

Calls

3 calls:

75.0ms	(/ 1 (* (/ (/ a -1/2) (* a c)) b))
26.0ms	(/ (/ a -1/2) (* a c))
45.0ms	(* (/ (/ a -1/2) (* a c)) b)

series81.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (* (/ (/ a -1/2) (* a c)) b))
19.0ms	(/ (/ a -1/2) (* a c))
25.0ms	(* (/ (/ a -1/2) (* a c)) b)

simplify1.6s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	2042
1	546
0	214

prune497.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.8b

regimes698.0ms

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
done	6
1	6
0	5

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.2s	8014×	body	80	nan
1.1s	16014×	pre	80	true
1.1s	3654×	body	320	valid
508.0ms	2914×	body	160	valid
256.0ms	484×	body	640	valid
79.0ms	948×	body	80	valid