Details

Time bar (total: 11.5s)

sample195.0ms

Algorithm
intervals
Results
47.0ms149×body160valid
42.0ms284×body80nan
38.0ms107×body80valid
37.0ms540×pre80true

simplify92.0ms

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.2b

localize23.0ms

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)
29.3b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite44.0ms

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))
2.0ms
(sqrt (fma b b (* (* a -4) c)))
32.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
8.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series453.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma b b (* (* a -4) c))
83.0ms
(sqrt (fma b b (* (* a -4) c)))
184.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
133.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.2s

Counts
126 → 126
Iterations
IterNodes
done2000
32000
21008
1423
0180

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.3b

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

prune74.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.3b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:
16.0ms
(/ (* -2 (/ (* a c) b)) a)
10.0ms
(/ (* a c) b)

series41.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* -2 (/ (* a c) b)) a)
21.0ms
(/ (* a c) b)

simplify923.0ms

Counts
59 → 59
Iterations
IterNodes
done2051
32051
21421
1280
0103

prune470.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.3b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:
15.0ms
(/ (* -2 (/ a (/ b c))) a)
6.0ms
(/ a (/ b c))

series59.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* -2 (/ a (/ b c))) a)
29.0ms
(/ a (/ b c))

simplify1.1s

Counts
108 → 108
Iterations
IterNodes
done2284
32284
21797
1529
0202

prune739.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 8.2b

regimes660.0ms

Accuracy

44.2% (7.6b remaining)

Error of 16.7b against oracle of 9.0b and baseline of 22.7b

bsearch4.0ms

Steps
ItersRangePoint
0
2862.7645223887616
2921.618168739223
2892.1913455639924

simplify5.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.3s8403×body80nan
1.1s4500×body160valid
863.0ms16403×pre80true
388.0ms3500×body80valid