Details

Time bar (total: 14.7s)

sample180.0ms

Algorithm
intervals
Results
42.0ms559×pre80true
40.0ms303×body80nan
38.0ms134×body160valid
22.0ms53×body320valid
10.0ms69×body80valid

simplify108.0ms

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: 42.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.2b
(- (* b b) (* (* c a) 4))
36.2b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite162.0ms

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)))
104.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
8.0ms
(- (* b b) (* (* c a) 4))
42.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series378.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(sqrt (- (* b b) (* (* c a) 4)))
119.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
61.0ms
(- (* b b) (* (* c a) 4))
107.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify3.0s

Counts
100 → 100
Iterations
IterNodes
done5002
34730
21107
1400
0161

prune594.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.5b

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

prune99.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
19.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series68.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* -2 (/ (* a c) b)) a)
33.0ms
(/ (* a c) b)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5001
21429
1278
099

prune338.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.4b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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-*l/ associate-/r/ associate-/l/
Counts
2 → 98
Calls
2 calls:
28.0ms
(/ (* (/ a (/ b c)) -2) a)
6.0ms
(/ a (/ b c))

series62.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* (/ a (/ b c)) -2) a)
35.0ms
(/ a (/ b c))

simplify1.4s

Counts
104 → 104
Iterations
IterNodes
done5008
21869
1512
0198

prune440.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 4.4b

regimes679.0ms

Accuracy

10.1% (6.1b remaining)

Error of 11.2b against oracle of 5.1b and baseline of 11.8b

bsearch54.0ms

Steps
ItersRangePoint
2
0.1033833431865932
0.1127640550401266
0.10455593216828488

simplify12.0ms

Iterations
IterNodes
done35
135
026

end0.0ms

sample5.8s

Algorithm
intervals
Results
1.7s4816×body160valid
1.2s8203×body80nan
1.1s16203×pre80true
1.1s1410×body320valid
232.0ms1774×body80valid