Details

Time bar (total: 14.0s)

sample378.0ms

Algorithm
intervals
Results
90.0ms262×body80nan
62.0ms121×body320valid
41.0ms518×pre80true
33.0ms95×body160valid
11.0ms16×body640valid
4.0ms24×body80valid

simplify136.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.6b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

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:
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))
15.0ms
(- (* b b) (* (* c a) 4))
90.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
67.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series440.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (- (* b b) (* (* c a) 4)))
71.0ms
(- (* b b) (* (* c a) 4))
141.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
136.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done2005
32005
21103
1400
0161

prune527.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune63.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

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
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
(/ (* -2 (/ (* a c) b)) a)
18.0ms
(/ (* a c) b)

series48.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* -2 (/ (* a c) b)) a)
26.0ms
(/ (* a c) b)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done2083
32083
21429
1278
099

prune300.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.3b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×associate-/r*
31×add-cbrt-cube add-exp-log
23×div-inv
16×cbrt-undiv div-exp
associate-/l*
associate-/r/
pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
Counts
3 → 198
Calls
3 calls:
17.0ms
(/ -2 (/ a (/ (* a c) b)))
17.0ms
(/ (* a c) b)
15.0ms
(/ a (/ (* a c) b))

series78.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ -2 (/ a (/ (* a c) b)))
37.0ms
(/ (* a c) b)
17.0ms
(/ a (/ (* a c) b))

simplify948.0ms

Counts
207 → 207
Iterations
IterNodes
done2000
22000
1891
0322

prune873.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.3b

regimes547.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample6.9s

Algorithm
intervals
Results
2.2s3663×body320valid
1.3s8281×body80nan
1.2s16281×pre80true
867.0ms2960×body160valid
289.0ms466×body640valid
241.0ms911×body80valid