Details

sample124.0ms

Algorithm

intervals

Results

30.0ms	138×	body	160	valid
25.0ms	521×	pre	80	true
24.0ms	265×	body	80	nan
12.0ms	41×	body	320	valid
8.0ms	77×	body	80	valid

simplify113.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize361.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.4b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
36.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite181.0ms

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:

8.0ms	(- (* b b) (* (* 3 a) c))
21.0ms	(* (* 3 a) c)
89.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
62.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series331.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* b b) (* (* 3 a) c))
31.0ms	(* (* 3 a) c)
135.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
98.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify4.8s

Counts

91 → 91

Iterations

Iter	Nodes
3	6088
2	1502
1	424
0	158

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.9b

localize12.0ms

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

prune72.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.9b

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))

rewrite73.0ms

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:

8.0ms	(/ (* a c) b)
27.0ms	(* -3/2 (/ (* a c) b))
36.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series100.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* a c) b)
52.0ms	(* -3/2 (/ (* a c) b))
26.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify10.0s

Counts

90 → 90

Iterations

Iter	Nodes
3	14826
2	1821
1	365
0	126

prune797.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.9b

localize14.0ms

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

prune1.0ms

Pruning

28 alts after pruning (26 fresh and 2 done)

Merged error: 5.9b

regimes642.0ms

Accuracy

12.8% (6.1b remaining)

Error of 11.2b against oracle of 5.1b and baseline of 12.1b

bsearch83.0ms

Steps

Iters	Range		Point
5	0.001979392778192651	0.00619171073995458	0.002027355084314286

simplify4.0ms

Iterations

Iter	Nodes
2	35
1	35
0	25

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.5s	4795×	body	160	valid
1.0s	8346×	body	80	nan
886.0ms	16346×	pre	80	true
454.0ms	1375×	body	320	valid
217.0ms	1830×	body	80	valid