Details

Time bar (total: 11.0s)

sample101.0ms

Algorithm
intervals
Results
29.0ms536×pre80true
20.0ms137×body160valid
19.0ms280×body80nan
9.0ms119×body80valid

simplify97.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
26.7b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite178.0ms

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:
11.0ms
(sqrt (- (* b b) (* (* c a) 4)))
13.0ms
(- (* b b) (* (* c a) 4))
92.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
59.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series353.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (- (* b b) (* (* c a) 4)))
55.0ms
(- (* b b) (* (* c a) 4))
104.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
102.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify2.4s

Counts
100 → 100
Iterations
IterNodes
done5002
34569
21103
1400
0161

prune413.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.1b

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

prune84.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
13.0ms
(/ (* a c) b)
22.0ms
(/ (* -2 (/ (* a c) b)) a)

series53.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* a c) b)
23.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.1s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune362.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
44.0ms
(/ (* -2 (* a c)) (* a b))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (* -2 (* a c)) (* a b))

simplify964.0ms

Counts
29 → 29
Iterations
IterNodes
done5015
21342
1219
068

prune57.0ms

Pruning

31 alts after pruning (29 fresh and 2 done)

Merged error: 9.0b

regimes787.0ms

Accuracy

46.5% (7.4b remaining)

Error of 16.4b against oracle of 9.0b and baseline of 22.9b

bsearch24.0ms

Steps
ItersRangePoint
1
2371.6535562406452
2626.0447279562113
2435.2513491695368

simplify14.0ms

Iterations
IterNodes
done35
135
026

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.2s8478×body80nan
866.0ms16478×pre80true
812.0ms4433×body160valid
462.0ms3567×body80valid