Details

sample191.0ms

Algorithm

intervals

Results

37.0ms	152×	body	160	valid
36.0ms	313×	body	80	nan
34.0ms	569×	pre	80	true
16.0ms	45×	body	320	valid
7.0ms	59×	body	80	valid

simplify105.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
37.2b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite246.0ms

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:

15.0ms	(- (* b b) (* (* 3 a) c))
32.0ms	(* (* 3 a) c)
131.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
66.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series337.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* b b) (* (* 3 a) c))
21.0ms	(* (* 3 a) c)
134.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
120.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify4.1s

Counts

91 → 91

Iterations

Iter	Nodes
3	6088
2	1502
1	424
0	158

prune919.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.6b

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
1	0
0	0

prune46.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.6b

localize16.0ms

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))

rewrite47.0ms

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)
17.0ms	(* -3/2 (/ (* a c) b))
20.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series80.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (* a c) b)
32.0ms	(* -3/2 (/ (* a c) b))
26.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify9.1s

Counts

90 → 90

Iterations

Iter	Nodes
3	14826
2	1821
1	365
0	126

prune672.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 5.6b

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
1	0
0	0

prune0.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.6b

regimes655.0ms

Accuracy

11.7% (5.9b remaining)

Error of 10.9b against oracle of 5.0b and baseline of 11.6b

bsearch2.0ms

Steps

Iters	Range		Point
0	2.6215348248553484e-05	2.6231519582090948e-05	2.6223433915322215e-05

simplify7.0ms

Iterations

Iter	Nodes
2	24
1	24
0	20

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.4s	16277×	pre	80	true
1.3s	4840×	body	160	valid
1.1s	8277×	body	80	nan
537.0ms	1415×	body	320	valid
226.0ms	1745×	body	80	valid