Details

Time bar (total: 25.5s)

sample74.0ms

Algorithm
intervals
Results
13.0ms141×body160valid
12.0ms257×body80nan
11.0ms513×pre80true
5.0ms115×body80valid

simplify360.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
372
242
124
014

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
0.3b
(- (* b b) (* (* c a) 4.0))
27.1b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite262.0ms

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)))
144.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
19.0ms
(- (* b b) (* (* c a) 4.0))
80.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series562.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
183.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
82.0ms
(- (* b b) (* (* c a) 4.0))
167.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify7.5s

Counts
100 → 100
Iterations
IterNodes
done5019
34665
21127
1394
0162

prune1.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.6b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune304.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 10.6b

localize47.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2.0 (/ (* a c) b)) a)

rewrite55.0ms

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:
12.0ms
(/ (* a c) b)
40.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series70.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (* a c) b)
30.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify2.4s

Counts
55 → 55
Iterations
IterNodes
done5115
21477
1274
099

prune1.1s

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 10.5b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×associate-/r*
10×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
3×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
2 → 98
Calls
2 calls:
38.0ms
(/ (* -2.0 (/ a (/ b c))) a)
16.0ms
(/ a (/ b c))

series105.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (* -2.0 (/ a (/ b c))) a)
59.0ms
(/ a (/ b c))

simplify3.1s

Counts
104 → 104
Iterations
IterNodes
done5000
22048
1521
0198

prune1.3s

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 10.5b

regimes2.4s

Accuracy

46% (7.4b remaining)

Error of 16.5b against oracle of 9.1b and baseline of 22.8b

bsearch6.0ms

Steps
ItersRangePoint
0
5056.833706873871
5248.096163707824
5152.464935290847

simplify16.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.3s4441×body160valid
790.0ms8851×body80nan
695.0ms3559×body80valid
673.0ms16851×pre80true