Details

sample106.0ms

Algorithm

intervals

Results

26.0ms	522×	pre	80	true
22.0ms	149×	body	160	valid
19.0ms	266×	body	80	nan
10.0ms	47×	body	320	valid
5.0ms	60×	body	80	valid

simplify125.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize34.0ms

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))
38.5b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite252.0ms

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:

17.0ms	(- (* b b) (* (* 3 a) c))
33.0ms	(* (* 3 a) c)
135.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
64.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series397.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* b b) (* (* 3 a) c))
38.0ms	(* (* 3 a) c)
171.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
130.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify2.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1459
1	424
0	158

prune455.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.3b

localize11.0ms

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

prune45.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.3b

localize31.0ms

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))

rewrite82.0ms

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:

10.0ms	(/ (* a c) b)
24.0ms	(* -3/2 (/ (* a c) b))
44.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series93.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* a c) b)
42.0ms	(* -3/2 (/ (* a c) b))
30.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
2	2261
1	382
0	126

prune414.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -3/2 (* a c))
0.4b	(* (* -3/2 (* a c)) (/ 1 b))
0.4b	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-exp-log`
94×	`add-cbrt-cube`
88×	`prod-exp`
46×	`cbrt-unprod`
44×	`div-exp`
23×	`cbrt-undiv`
17×	`pow1`
14×	`associate-r`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`rec-exp` `1-exp` `pow-prod-down`
4×	`associate-l`
3×	`insert-posit16` `add-log-exp`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l`

Counts

3 → 121

Calls

3 calls:

24.0ms	(* -3/2 (* a c))
78.0ms	(* (* -3/2 (* a c)) (/ 1 b))
76.0ms	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))

series97.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* -3/2 (* a c))
40.0ms	(* (* -3/2 (* a c)) (/ 1 b))
27.0ms	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))

simplify1.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5019
2	2946
1	551
0	184

prune302.0ms

Pruning

27 alts after pruning (25 fresh and 2 done)

Merged error: 5.3b

regimes753.0ms

Accuracy

5.1% (6.3b remaining)

Error of 11.6b against oracle of 5.3b and baseline of 11.9b

bsearch71.0ms

Steps

Iters	Range		Point
5	0.8976043504807807	2.718412628430079	0.9098230818343235

simplify9.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	16052×	pre	80	true
738.0ms	4905×	body	160	valid
490.0ms	8052×	body	80	nan
429.0ms	1356×	body	320	valid
142.0ms	1739×	body	80	valid