Details

sample402.0ms

Algorithm

intervals

Results

185.0ms	131×	body	320	valid
48.0ms	482×	pre	80	true
37.0ms	17×	body	640	valid
13.0ms	226×	body	80	nan
12.0ms	88×	body	160	valid
1.0ms	20×	body	80	valid

simplify257.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	98
7	98
6	97
5	95
4	87
3	72
2	42
1	24
0	14

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b	(- (* b b) (* (* c a) 4.0))
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
27.3b	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

13.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
11.0ms	(- (* b b) (* (* c a) 4.0))
116.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
68.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series562.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
90.0ms	(- (* b b) (* (* c a) 4.0))
151.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
182.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify7.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	4489
2	1117
1	394
0	162

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

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
done	0
0	0

prune193.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (* -2.0 (/ (* a c) b)) a)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 49

Calls

2 calls:

25.0ms	(/ (* a c) b)
32.0ms	(/ (* -2.0 (/ (* a c) b)) a)

series109.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (* a c) b)
59.0ms	(/ (* -2.0 (/ (* a c) b)) a)

simplify2.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5115
2	1477
1	274
0	99

prune830.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (* a c) b)
0.3b	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
0.5b	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `sqrt-prod`
25×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`times-frac`
19×	`pow1`
12×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`associate-/r*`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
7×	`cbrt-undiv` `div-exp` `div-inv`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/` `pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `associate-/l*` `associate-/l/`
2×	`frac-times` `associate-*l/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `*-commutative`

Counts

4 → 136

Calls

4 calls:

12.0ms	(/ (* a c) b)
12.0ms	(/ (* a c) b)
136.0ms	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
70.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (* a c) b)
35.0ms	(/ (* a c) b)
96.0ms	(/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
113.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

simplify2.9s

Counts

148 → 148

Iterations

Iter	Nodes
done	5067
2	1582
1	399
0	167

prune1.6s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.0b

regimes1.2s

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.1s	16128×	pre	80	true
926.0ms	3636×	body	320	valid
809.0ms	3006×	body	160	valid
674.0ms	8128×	body	80	nan
349.0ms	482×	body	640	valid
62.0ms	876×	body	80	valid