Details

Time bar (total: 11.7s)

sample70.0ms

Algorithm
intervals
Results
21.0ms513×pre80true
14.0ms141×body160valid
13.0ms257×body80nan
6.0ms115×body80valid

simplify111.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.1b

localize21.0ms

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)
27.1b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite81.0ms

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))
3.0ms
(sqrt (fma b b (* (* a -4) c)))
45.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
27.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series463.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(fma b b (* (* a -4) c))
110.0ms
(sqrt (fma b b (* (* a -4) c)))
144.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
131.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.3s

Counts
126 → 126
Iterations
IterNodes
done5000
33635
21008
1423
0180

prune554.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.5b

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

21 alts after pruning (20 fresh and 1 done)

Merged error: 10.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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

series46.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
23.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.3s

Counts
59 → 59
Iterations
IterNodes
done5000
21285
1282
0103

prune417.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 10.4b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:
29.0ms
(/ (* -2 (/ a (/ b c))) a)
16.0ms
(/ a (/ b c))

series67.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (* -2 (/ a (/ b c))) a)
34.0ms
(/ a (/ b c))

simplify1.3s

Counts
108 → 108
Iterations
IterNodes
done5000
21797
1529
0202

prune308.0ms

Pruning

42 alts after pruning (42 fresh and 0 done)

Merged error: 10.4b

regimes854.0ms

Accuracy

45.2% (7.6b remaining)

Error of 16.6b against oracle of 9.0b and baseline of 22.9b

bsearch3.0ms

Steps
ItersRangePoint
0
5056.833706873871
5248.096163707824
5152.464935290847

simplify5.0ms

Iterations
IterNodes
done36
136
029

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.3s4441×body160valid
820.0ms16851×pre80true
820.0ms8851×body80nan
281.0ms3559×body80valid