Details

Time bar (total: 28.5s)

sample143.0ms

Algorithm
intervals
Results
30.0ms48×body320valid
25.0ms314×body80nan
25.0ms151×body160valid
21.0ms570×pre80true
5.0ms57×body80valid

simplify354.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
372
242
124
014

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize136.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(- (* b b) (* (* c a) 4.0))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
38.1b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite363.0ms

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:
31.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
26.0ms
(- (* b b) (* (* c a) 4.0))
207.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
92.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series471.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
66.0ms
(- (* b b) (* (* c a) 4.0))
176.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
128.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify7.4s

Counts
100 → 100
Iterations
IterNodes
done5000
34489
21117
1394
0162

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.8b

localize29.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune270.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.8b

localize73.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* -2.0 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite104.0ms

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:
70.0ms
(/ (* -2.0 (/ (* a c) b)) a)
31.0ms
(/ (* a c) b)

series83.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (* -2.0 (/ (* a c) b)) a)
39.0ms
(/ (* a c) b)

simplify2.8s

Counts
55 → 55
Iterations
IterNodes
done5012
21444
1285
099

prune1.0s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.8b

localize111.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (/ (* -2.0 (/ (* a c) b)) (sqrt a)) (sqrt a))
0.4b
(/ (* -2.0 (/ (* a c) b)) (sqrt a))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
60×sqrt-prod
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
42×add-cbrt-cube add-exp-log
19×cbrt-undiv div-exp
15×associate-/r*
12×associate-/l*
10×div-inv
9×prod-exp cbrt-unprod
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
1×associate-*r/
Counts
3 → 153
Calls
3 calls:
40.0ms
(/ (* a c) b)
58.0ms
(/ (/ (* -2.0 (/ (* a c) b)) (sqrt a)) (sqrt a))
74.0ms
(/ (* -2.0 (/ (* a c) b)) (sqrt a))

series318.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (* a c) b)
115.0ms
(/ (/ (* -2.0 (/ (* a c) b)) (sqrt a)) (sqrt a))
169.0ms
(/ (* -2.0 (/ (* a c) b)) (sqrt a))

simplify4.4s

Counts
162 → 162
Iterations
IterNodes
done5001
22310
1657
0248

prune1.7s

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 4.7b

regimes2.1s

Accuracy

7.3% (6.4b remaining)

Error of 11.5b against oracle of 5.1b and baseline of 12.0b

bsearch56.0ms

Steps
ItersRangePoint
3
0.22538239365787033
0.2970756725892088
0.2404309694818497

simplify28.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.5s4829×body160valid
987.0ms8456×body80nan
893.0ms16456×pre80true
485.0ms1386×body320valid
174.0ms1785×body80valid