Details

Time bar (total: 14.3s)

sample122.0ms

Algorithm
intervals
Results
40.0ms256×body80nan
25.0ms139×body160valid
19.0ms512×pre80true
14.0ms56×body320valid
6.0ms61×body80valid

simplify75.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.0b

localize22.0ms

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)))
0.2b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
37.9b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite32.0ms

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)))
21.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
8.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series392.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(fma b b (* (* a -4) c))
94.0ms
(sqrt (fma b b (* (* a -4) c)))
123.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
115.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify936.0ms

Counts
126 → 126
Iterations
IterNodes
done2000
32000
21008
1423
0180

prune1.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.3b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune118.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.3b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
10.0ms
(/ (* a c) b)
38.0ms
(/ (* -2 (/ (* a c) b)) a)

series56.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* a c) b)
23.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
done2014
32014
21285
1282
0103

prune682.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
12.0ms
(/ a (/ b c))
20.0ms
(/ (* -2 (/ a (/ b c))) a)

series72.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ a (/ b c))
33.0ms
(/ (* -2 (/ a (/ b c))) a)

simplify1.2s

Counts
108 → 108
Iterations
IterNodes
done2006
32006
21827
1523
0202

prune1.0s

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 4.2b

regimes695.0ms

Accuracy

6.2% (6.3b remaining)

Error of 11.0b against oracle of 4.8b and baseline of 11.5b

bsearch30.0ms

Steps
ItersRangePoint
2
0.09825587916722509
0.10795645039315663
0.09946845057046652

simplify5.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.9s4809×body160valid
1.6s8275×body80nan
1.0s16275×pre80true
665.0ms1479×body320valid
286.0ms1712×body80valid