Details

sample154.0ms

Algorithm

intervals

Results

34.0ms	138×	body	160	valid
34.0ms	255×	body	80	nan
31.0ms	511×	pre	80	true
19.0ms	57×	body	320	valid
8.0ms	61×	body	80	valid

simplify145.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	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: 44.0b

localize40.0ms

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))
37.9b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite163.0ms

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:

7.0ms	(- (* b b) (* (* 3 a) c))
25.0ms	(* (* 3 a) c)
96.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series373.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* b b) (* (* 3 a) c))
23.0ms	(* (* 3 a) c)
153.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
117.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.6s

Counts

91 → 91

Iterations

Iter	Nodes
3	6170
2	1501
1	422
0	158

prune464.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.4b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune71.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite58.0ms

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:

12.0ms	(/ (* a c) b)
21.0ms	(* -3/2 (/ (* a c) b))
24.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series89.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (* a c) b)
43.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.7s

Counts

90 → 90

Iterations

Iter	Nodes
3	15215
2	1842
1	363
0	126

prune373.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 4.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
0.4b	(* -3/2 (sqrt (/ (* a c) b)))
0.4b	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
20×	`associate-r`
17×	`add-sqr-sqrt`
15×	`sqrt-prod`
14×	`prod-exp` `cbrt-unprod`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
10×	`times-frac`
9×	`sqrt-div`
8×	`cbrt-undiv` `div-exp`
7×	`associate-*r/`
4×	`associate-/r` `associate-l*` `pow-prod-down` `insert-posit16` `div-inv` `add-log-exp`
3×	`associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

18.0ms	(/ (* a c) b)
67.0ms	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
25.0ms	(* -3/2 (sqrt (/ (* a c) b)))
86.0ms	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

series285.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* a c) b)
106.0ms	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
93.0ms	(* -3/2 (sqrt (/ (* a c) b)))
54.0ms	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

simplify703.0ms

Counts

120 → 120

Iterations

Iter	Nodes
2	2228
1	438
0	163

prune496.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 4.3b

regimes731.0ms

Accuracy

6.1% (6.2b remaining)

Error of 11.0b against oracle of 4.8b and baseline of 11.4b

bsearch24.0ms

Steps

Iters	Range		Point
2	0.09825587916722509	0.10795645039315663	0.09946845057046652

simplify8.0ms

Iterations

Iter	Nodes
2	35
1	35
0	25

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.1s	4791×	body	160	valid
1.1s	16211×	pre	80	true
981.0ms	8211×	body	80	nan
511.0ms	1490×	body	320	valid
226.0ms	1719×	body	80	valid