Details

Time bar (total: 12.5s)

sample73.0ms

Algorithm
intervals
Results
26.0ms141×body160valid
14.0ms513×pre80true
12.0ms257×body80nan
6.0ms115×body80valid

simplify87.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.3b
(- (* b b) (* (* c a) 4))
27.1b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite214.0ms

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:
10.0ms
(sqrt (- (* b b) (* (* c a) 4)))
109.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
14.0ms
(- (* b b) (* (* c a) 4))
78.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series384.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(sqrt (- (* b b) (* (* c a) 4)))
106.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
59.0ms
(- (* b b) (* (* c a) 4))
115.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify2.5s

Counts
100 → 100
Iterations
IterNodes
done5002
34730
21107
1400
0161

prune531.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.6b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune82.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 10.6b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
25.0ms
(/ (* a c) b)
20.0ms
(/ (* -2 (/ (* a c) b)) a)

series71.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* a c) b)
37.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.3s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune331.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 10.5b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
19.0ms
(/ (* -2 (/ a (/ b c))) a)
14.0ms
(/ a (/ b c))

series53.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* -2 (/ a (/ b c))) a)
30.0ms
(/ a (/ b c))

simplify1.4s

Counts
104 → 104
Iterations
IterNodes
done5001
21916
1514
0198

prune537.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 10.5b

regimes956.0ms

Accuracy

46% (7.4b remaining)

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

bsearch5.0ms

Steps
ItersRangePoint
0
5056.833706873871
5248.096163707824
5152.464935290847

simplify12.0ms

Iterations
IterNodes
done35
135
026

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.3s4441×body160valid
971.0ms8851×body80nan
728.0ms16851×pre80true
301.0ms3559×body80valid