Details

sample204.0ms

Algorithm

intervals

Results

47.0ms	154×	body	160	valid
46.0ms	50×	body	320	valid
38.0ms	256×	body	80	nan
35.0ms	512×	pre	80	true
8.0ms	52×	body	80	valid

simplify112.0ms

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: 45.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
40.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

164×	`add-sqr-sqrt`
82×	`*-un-lft-identity`
72×	`times-frac`
45×	`associate-l`
43×	`difference-of-squares`
42×	`add-cube-cbrt`
29×	`unswap-sqr`
27×	`associate-r`
20×	`distribute-lft-out--`
14×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`associate-/r` `-commutative`
9×	`pow1`
8×	`add-log-exp`
6×	`associate-/l*`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `swap-sqr` `pow-prod-down` `flip--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `div-inv`

Counts

4 → 190

Calls

4 calls:

121.0ms	(- (* b b) (* (* 3 a) c))
28.0ms	(* (* 3 a) c)
1.3s	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
743.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series398.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* b b) (* (* 3 a) c))
29.0ms	(* (* 3 a) c)
168.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
129.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify2.1s

Counts

202 → 202

Iterations

Iter	Nodes
done	5001
2	2631
1	815
0	280

prune814.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.9b

localize6.0ms

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

prune56.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.9b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

1180×	`times-frac`
860×	`associate-r`
853×	`add-sqr-sqrt`
531×	`*-un-lft-identity`
527×	`add-cube-cbrt`
344×	`associate-l`
156×	`unswap-sqr`
114×	`*-commutative`
91×	`associate-/l*`
49×	`add-cbrt-cube` `add-exp-log`
36×	`associate-*r/`
21×	`associate-/r*` `associate-/l/`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp` `div-inv`
6×	`clear-num` `un-div-inv`
5×	`pow1`
4×	`frac-2neg`
3×	`insert-posit16` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 872

Calls

3 calls:

59.0ms	(* -3/2 (/ (* a c) b))
18.0ms	(/ (* a c) b)
120.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series86.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* -3/2 (/ (* a c) b))
31.0ms	(/ (* a c) b)
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify2.6s

Counts

881 → 881

Iterations

Iter	Nodes
done	5003
1	4384
0	1227

prune3.6s

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 3.8b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt a) c)
0.3b	(/ (* (sqrt a) c) b)
0.3b	(/ (/ (* (sqrt a) c) b) (sqrt a))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
461×	`add-sqr-sqrt`
353×	`*-un-lft-identity` `add-cube-cbrt`
267×	`sqrt-prod`
162×	`associate-l`
84×	`associate-/l*`
81×	`associate-r`
54×	`unswap-sqr`
27×	`*-commutative`
22×	`associate-/l/`
19×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 514

Calls

3 calls:

11.0ms	(* (sqrt a) c)
41.0ms	(/ (* (sqrt a) c) b)
53.0ms	(/ (/ (* (sqrt a) c) b) (sqrt a))

series216.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* (sqrt a) c)
106.0ms	(/ (* (sqrt a) c) b)
16.0ms	(/ (/ (* (sqrt a) c) b) (sqrt a))

simplify2.2s

Counts

523 → 523

Iterations

Iter	Nodes
done	5000
1	1529
0	615

prune1.9s

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 3.8b

regimes884.0ms

Accuracy

11.1% (5.9b remaining)

Error of 11.1b against oracle of 5.1b and baseline of 11.8b

bsearch67.0ms

Steps

Iters	Range		Point
5	1.5870254657342646e-05	4.458333025154689e-05	1.6209007775013438e-05

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	25

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.6s	4870×	body	160	valid
1.2s	16106×	pre	80	true
942.0ms	8106×	body	80	nan
742.0ms	1750×	body	80	valid
483.0ms	1380×	body	320	valid