Details

Time bar (total: 14.2s)

sample425.0ms

Algorithm
intervals
Results
32.0ms123×body320valid
20.0ms472×pre80true
16.0ms216×body80nan
14.0ms91×body160valid
5.0ms13×body640valid
3.0ms29×body80valid

simplify116.0ms

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

prune817.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.0b
(sqrt (fma b b (* (* a -4) c)))
0.1b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
25.6b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite115.0ms

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:
1.0ms
(fma b b (* (* a -4) c))
17.0ms
(sqrt (fma b b (* (* a -4) c)))
59.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
29.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series494.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(fma b b (* (* a -4) c))
111.0ms
(sqrt (fma b b (* (* a -4) c)))
160.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
158.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.4s

Counts
126 → 126
Iterations
IterNodes
done5000
33635
21008
1423
0180

prune602.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.8b

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

prune73.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.8b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:
21.0ms
(/ (* a c) b)
38.0ms
(/ (* -2 (/ (* a c) b)) a)

series57.0ms

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

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5000
21285
1282
0103

prune376.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 2.8b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:
18.0ms
(/ a (/ b c))
27.0ms
(/ (* -2 (/ a (/ b c))) a)

series50.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ a (/ b c))
26.0ms
(/ (* -2 (/ a (/ b c))) a)

simplify1.7s

Counts
108 → 108
Iterations
IterNodes
done5000
21827
1523
0202

prune431.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 2.8b

regimes622.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.2s8052×body80nan
1.1s3654×body320valid
968.0ms16052×pre80true
576.0ms2918×body160valid
162.0ms481×body640valid
153.0ms947×body80valid