Details

Time bar (total: 19.0s)

sample307.0ms

Algorithm
intervals
Results
63.0ms88×body160valid
56.0ms117×body320valid
38.0ms255×body80nan
34.0ms511×pre80true
13.0ms19×body640valid
5.0ms32×body80valid

simplify122.0ms

Counts
1 → 1
Iterations
IterNodes
8105
7105
6104
5102
494
377
244
125
014

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.5b

localize26.0ms

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)
25.0b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite38.0ms

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)))
17.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
9.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series453.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(fma b b (* (* a -4) c))
128.0ms
(sqrt (fma b b (* (* a -4) c)))
132.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
117.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.1s

Counts
126 → 126
Iterations
IterNodes
32593
2949
1407
0180

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune53.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
27.0ms
(/ (* -2 (/ (* a c) b)) a)
10.0ms
(/ (* a c) b)

series49.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* -2 (/ (* a c) b)) a)
24.0ms
(/ (* a c) b)

simplify3.1s

Counts
59 → 59
Iterations
IterNodes
36707
21077
1267
0103

prune594.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
28.0ms
(/ (* -2 (/ a (/ b c))) a)
12.0ms
(/ a (/ b c))

series47.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* -2 (/ a (/ b c))) a)
25.0ms
(/ a (/ b c))

simplify3.2s

Counts
108 → 108
Iterations
IterNodes
37765
21702
1508
0202

prune1.1s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

regimes524.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample6.6s

Algorithm
intervals
Results
1.7s3667×body320valid
1.3s2930×body160valid
1.2s8020×body80nan
956.0ms16020×pre80true
642.0ms920×body80valid
359.0ms483×body640valid