Details

Time bar (total: 13.9s)

sample155.0ms

Algorithm
intervals
Results
41.0ms154×body160valid
38.0ms297×body80nan
31.0ms553×pre80true
14.0ms102×body80valid

simplify126.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize35.0ms

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))
29.0b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite149.0ms

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:
12.0ms
(sqrt (- (* b b) (* (* c a) 4)))
80.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
10.0ms
(- (* b b) (* (* c a) 4))
44.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series387.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(sqrt (- (* b b) (* (* c a) 4)))
116.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
59.0ms
(- (* b b) (* (* c a) 4))
117.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify2.6s

Counts
100 → 100
Iterations
IterNodes
done5002
34730
21107
1400
0161

prune608.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune102.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 9.7b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
28.0ms
(/ (* -2 (/ (* a c) b)) a)
13.0ms
(/ (* a c) b)

series51.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* -2 (/ (* a c) b)) a)
22.0ms
(/ (* a c) b)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5001
21429
1278
099

prune451.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 9.6b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
17×add-sqr-sqrt
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
7×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×pow1
3×associate-/r* associate-*l* associate-*r/
2×insert-posit16 div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 60
Calls
2 calls:
41.0ms
(/ (* -2 (* a (/ c b))) a)
10.0ms
(* a (/ c b))

series75.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (* -2 (* a (/ c b))) a)
36.0ms
(* a (/ c b))

simplify1.3s

Counts
66 → 66
Iterations
IterNodes
done5005
21328
1328
0118

prune290.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 9.6b

regimes839.0ms

Accuracy

46% (7.4b remaining)

Error of 16.5b against oracle of 9.1b and baseline of 22.7b

bsearch50.0ms

Steps
ItersRangePoint
3
172.2552017259038
209.02696225458826
174.55343675894656

simplify6.0ms

Iterations
IterNodes
done35
135
026

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.6s8752×body80nan
1.4s4489×body160valid
990.0ms16752×pre80true
970.0ms3511×body80valid