Details

Time bar (total: 14.0s)

sample130.0ms

Algorithm
intervals
Results
37.0ms132×body160valid
31.0ms310×body80nan
25.0ms566×pre80true
13.0ms124×body80valid

simplify93.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
377
244
125
014

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.1b
(sqrt (fma b b (* (* a -4) c)))
0.3b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
27.9b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
18×times-frac prod-diff
10×difference-of-squares
6×add-cbrt-cube fma-neg add-exp-log associate-/l* add-log-exp
5×pow1 distribute-lft-out--
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp fma-udef div-inv
Counts
4 → 114
Calls
4 calls:
0.0ms
(fma b b (* (* a -4) c))
1.0ms
(sqrt (fma b b (* (* a -4) c)))
19.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
9.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series457.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(fma b b (* (* a -4) c))
115.0ms
(sqrt (fma b b (* (* a -4) c)))
158.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
93.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.1s

Counts
126 → 126
Iterations
IterNodes
done2000
32000
21008
1423
0180

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.1b

localize10.0ms

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: 9.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
18.0ms
(/ (* a c) b)
31.0ms
(/ (* -2 (/ (* a c) b)) a)

series74.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (* a c) b)
34.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
done2014
32014
21285
1282
0103

prune693.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 9.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ a (/ b c))
12.0ms
(/ (* -2 (/ a (/ b c))) a)

series57.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ a (/ b c))
27.0ms
(/ (* -2 (/ a (/ b c))) a)

simplify1.4s

Counts
108 → 108
Iterations
IterNodes
done2006
32006
21827
1523
0202

prune897.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 9.0b

regimes900.0ms

Accuracy

47% (7.1b remaining)

Error of 16.2b against oracle of 9.1b and baseline of 22.6b

bsearch3.0ms

Steps
ItersRangePoint
0
1072.0421178334989
1095.414553911296
1083.7283358723973

simplify7.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.8s16582×pre80true
1.5s4543×body160valid
1.2s8582×body80nan
496.0ms3456×body80valid
0.0ms1×body320valid