Details

Time bar (total: 13.8s)

sample254.0ms

Algorithm
intervals
Results
39.0ms123×body320valid
26.0ms472×pre80true
21.0ms216×body80nan
18.0ms91×body160valid
5.0ms13×body640valid
3.0ms29×body80valid

simplify167.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.1b
(- (* b b) (* (* c a) 4))
25.6b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
sqrt-prod add-log-exp
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
flip3-- insert-posit16 flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
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:
17.0ms
(sqrt (- (* b b) (* (* c a) 4)))
99.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
15.0ms
(- (* b b) (* (* c a) 4))
61.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series440.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- (* b b) (* (* c a) 4)))
156.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
81.0ms
(- (* b b) (* (* c a) 4))
119.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify3.1s

Counts
100 → 100
Iterations
IterNodes
done5002
34730
21107
1400
0161

prune566.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.9b

localize22.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune88.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.9b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
19.0ms
(/ (* a c) b)
43.0ms
(/ (* -2 (/ (* a c) b)) a)

series54.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
33.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune323.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ a (/ b c))
0.3b
(/ (* -2 (/ a (/ b c))) a)

rewrite35.0ms

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
div-inv
associate-/l*
prod-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 add-log-exp
associate-*r/ associate-/r/ associate-/l/
Counts
2 → 98
Calls
2 calls:
9.0ms
(/ a (/ b c))
19.0ms
(/ (* -2 (/ a (/ b c))) a)

series50.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ a (/ b c))
23.0ms
(/ (* -2 (/ a (/ b c))) a)

simplify1.5s

Counts
104 → 104
Iterations
IterNodes
done5000
22017
1527
0198

prune445.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.9b

regimes458.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.6s3654×body320valid
1.1s16052×pre80true
760.0ms8052×body80nan
627.0ms2918×body160valid
190.0ms481×body640valid
72.0ms947×body80valid