Details

Time bar (total: 12.9s)

sample177.0ms

Algorithm
intervals
Results
48.0ms301×body80nan
43.0ms155×body160valid
33.0ms557×pre80true
18.0ms44×body320valid
8.0ms57×body80valid

simplify118.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
37.3b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite155.0ms

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:
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))
10.0ms
(- (* b b) (* (* c a) 4))
86.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
50.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series395.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (- (* b b) (* (* c a) 4)))
55.0ms
(- (* b b) (* (* c a) 4))
124.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
117.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done2005
32005
21103
1400
0161

prune535.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.4b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune78.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.4b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:
18.0ms
(/ (* a c) b)
30.0ms
(/ (* -2 (/ (* a c) b)) a)

series54.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* a c) b)
28.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.1s

Counts
55 → 55
Iterations
IterNodes
done2005
32005
21437
1278
099

prune310.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.3b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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
7×associate-/l*
6×associate-/r/
3×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
Counts
3 → 198
Calls
3 calls:
11.0ms
(/ (* a c) b)
7.0ms
(/ a (/ (* a c) b))
13.0ms
(/ -2 (/ a (/ (* a c) b)))

series78.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (* a c) b)
14.0ms
(/ a (/ (* a c) b))
35.0ms
(/ -2 (/ a (/ (* a c) b)))

simplify1.0s

Counts
207 → 207
Iterations
IterNodes
done2000
22000
1888
0322

prune839.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.3b

regimes866.0ms

Accuracy

0% (6.8b remaining)

Error of 11.9b against oracle of 5.1b and baseline of 11.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.7s4800×body160valid
1.7s8383×body80nan
1.1s16383×pre80true
724.0ms1425×body320valid
254.0ms1775×body80valid