Details

Time bar (total: 15.1s)

sample135.0ms

Algorithm
intervals
Results
36.0ms553×pre80true
32.0ms154×body160valid
31.0ms297×body80nan
11.0ms102×body80valid

simplify133.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.0b

localize46.0ms

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)
29.0b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite75.0ms

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))
3.0ms
(sqrt (fma b b (* (* a -4) c)))
48.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
19.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series460.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(fma b b (* (* a -4) c))
106.0ms
(sqrt (fma b b (* (* a -4) c)))
170.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
126.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.1s

Counts
126 → 126
Iterations
IterNodes
done5000
33635
21008
1423
0180

prune771.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.6b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune147.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 9.6b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
341×times-frac
249×add-sqr-sqrt
211×associate-*r*
181×*-un-lft-identity
179×add-cube-cbrt
77×associate-/l*
64×associate-*l*
33×unswap-sqr
21×add-cbrt-cube add-exp-log *-commutative associate-/l/
18×associate-*r/
9×associate-/r*
8×cbrt-undiv div-exp
6×div-inv
5×prod-exp cbrt-unprod
4×clear-num
3×frac-2neg un-div-inv
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 317
Calls
2 calls:
108.0ms
(/ (* -2 (/ (* a c) b)) a)
17.0ms
(/ (* a c) b)

series57.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (* -2 (/ (* a c) b)) a)
24.0ms
(/ (* a c) b)

simplify1.5s

Counts
323 → 323
Iterations
IterNodes
done5001
11537
0527

prune1.8s

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 9.5b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (/ b a))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×add-cube-cbrt
10×times-frac
9×associate-*r/
6×add-cbrt-cube add-exp-log
4×associate-/l*
3×pow1 associate-/r* associate-*l*
2×clear-num prod-exp un-div-inv cbrt-unprod unswap-sqr
1×expm1-log1p-u cbrt-undiv frac-2neg div-exp pow-prod-down *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
30.0ms
(* a (/ b a))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* a (/ b a))

simplify2.1s

Counts
48 → 48
Iterations
IterNodes
done5005
33256
2701
1198
075

prune176.0ms

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 9.5b

regimes999.0ms

Accuracy

45.5% (7.5b remaining)

Error of 16.5b against oracle of 9.0b and baseline of 22.8b

bsearch69.0ms

Steps
ItersRangePoint
3
172.2552017259038
209.02696225458826
174.55343675894656

simplify10.0ms

Iterations
IterNodes
done32
132
026

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.2s16752×pre80true
1.1s4489×body160valid
1.1s8752×body80nan
464.0ms3511×body80valid