Details

Time bar (total: 22.6s)

sample183.0ms

Algorithm
intervals
Results
58.0ms288×body80nan
41.0ms131×body160valid
36.0ms544×pre80true
20.0ms125×body80valid

simplify151.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(- (* b b) (* (* c a) 4))
0.3b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
26.2b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite212.0ms

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)))
12.0ms
(- (* b b) (* (* c a) 4))
112.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
72.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series415.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- (* b b) (* (* c a) 4)))
59.0ms
(- (* b b) (* (* c a) 4))
143.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
130.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.6s

Counts
100 → 100
Iterations
IterNodes
33663
21093
1400
0161

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.2b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune126.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.2b

localize29.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* -2 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite38.0ms

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

series54.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* -2 (/ (* a c) b)) a)
30.0ms
(/ (* a c) b)

simplify2.6s

Counts
55 → 55
Iterations
IterNodes
36549
21058
1265
099

prune550.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 8.1b

localize28.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* -2 (* a c)) (* a b))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
29.0ms
(/ (* -2 (* a c)) (* a b))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (* -2 (* a c)) (* a b))

simplify9.3s

Counts
29 → 29
Iterations
IterNodes
314260
21340
1219
068

prune227.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 8.1b

regimes776.0ms

Accuracy

49.4% (7.0b remaining)

Error of 16.3b against oracle of 9.3b and baseline of 23.1b

bsearch15.0ms

Steps
ItersRangePoint
1
1960.6498567774931
2064.90294852409
1984.600261148631

simplify13.0ms

Iterations
IterNodes
239
139
028

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.5s16934×pre80true
1.2s8934×body80nan
1.2s4437×body160valid
516.0ms3563×body80valid