Details

sample233.0ms

Algorithm

intervals

Results

57.0ms	124×	body	320	valid
41.0ms	292×	body	80	nan
38.0ms	548×	pre	80	true
32.0ms	89×	body	160	valid
13.0ms	21×	body	640	valid
3.0ms	22×	body	80	valid

simplify96.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.4b

localize36.0ms

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)
23.3b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite2.3s

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:

77.0ms	(- (* b b) (* (* 3 a) c))
1.4s	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
38.0ms	(* (* 3 a) c)
770.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series382.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* b b) (* (* 3 a) c))
163.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms	(* (* 3 a) c)
117.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify2.3s

Counts

202 → 202

Iterations

Iter	Nodes
done	5002
2	2692
1	813
0	280

prune902.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

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

prune39.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize30.0ms

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))

rewrite337.0ms

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:

37.0ms	(/ (* a c) b)
73.0ms	(* -3/2 (/ (* a c) b))
171.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series106.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (* a c) b)
45.0ms	(* -3/2 (/ (* a c) b))
30.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify2.6s

Counts

881 → 881

Iterations

Iter	Nodes
done	5001
1	4384
0	1227

prune4.2s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 2.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b))
0.4b	(* (* (* a a) a) (* c (* c c)))
0.4b	(/ (cbrt (/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b))) (* 3 a))
0.6b	(cbrt (/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b)))

rewrite23.8s

Algorithm

rewrite-expression-head

Rules

205737×	`add-sqr-sqrt`
131978×	`unswap-sqr`
107436×	`times-frac`
87829×	`associate-r`
73663×	`associate-l`
55720×	`cbrt-prod`
34119×	`*-un-lft-identity` `add-cube-cbrt`
23942×	`*-commutative`
22088×	`swap-sqr`
4409×	`associate-/l*`
346×	`cbrt-div`
258×	`add-cbrt-cube`
255×	`add-exp-log`
173×	`cbrt-unprod` `associate-/l/`
172×	`prod-exp`
96×	`associate-/r*`
40×	`pow1`
37×	`cbrt-undiv`
35×	`div-exp`
31×	`pow-prod-down`
16×	`div-inv`
4×	`clear-num` `frac-2neg` `cube-unmult` `pow3` `insert-posit16` `add-log-exp`
1×	`pow1/3`

Counts

4 → 60498

Calls

4 calls:

1.8s	(/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b))
330.0ms	(* (* (* a a) a) (* c (* c c)))
4.6s	(/ (cbrt (/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b))) (* 3 a))
1.7s	(cbrt (/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b))
112.0ms	(* (* (* a a) a) (* c (* c c)))
108.0ms	(/ (cbrt (/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b))) (* 3 a))
106.0ms	(cbrt (/ (* -27/8 (* (* (* a a) a) (* c (* c c)))) (* (* b b) b)))

simplify1.1m

Counts

60510 → 60510

Iterations

Iter	Nodes
done	40217
0	40217

prune3.1m

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.0b

regimes452.0ms

Accuracy

0% (3.2b remaining)

Error of 5.8b against oracle of 2.6b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.0s	3661×	body	320	valid
695.0ms	8002×	body	80	nan
688.0ms	16002×	pre	80	true
519.0ms	2982×	body	160	valid
155.0ms	514×	body	640	valid
63.0ms	843×	body	80	valid