Details

Time bar (total: 12.9s)

sample75.0ms

Algorithm
intervals
Results
14.0ms147×body160valid
13.0ms288×body80nan
12.0ms544×pre80true
5.0ms109×body80valid

simplify95.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
372
242
124
014

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
0.3b
(- (* b b) (* (* c a) 4.0))
29.2b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite438.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 84
Calls
4 calls:
7.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
67.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
6.0ms
(- (* b b) (* (* c a) 4.0))
355.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series319.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
105.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
52.0ms
(- (* b b) (* (* c a) 4.0))
89.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.1s

Counts
96 → 96
Iterations
IterNodes
done5000
21185
1391
0158

prune661.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.6b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune111.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2.0 (/ (* a c) b)) a)

rewrite28.0ms

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×pow1 clear-num frac-2neg div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
11.0ms
(/ (* a c) b)
16.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series62.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (* a c) b)
30.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.3s

Counts
53 → 53
Iterations
IterNodes
done5005
21483
1273
097

prune485.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.5b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ a (/ (* a c) b))
0.2b
(/ (* a c) b)
0.3b
(/ -2.0 (/ a (/ (* a c) b)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×associate-/r*
31×add-cbrt-cube add-exp-log
23×div-inv
16×cbrt-undiv div-exp
7×associate-/l*
6×associate-/r/
3×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
Counts
3 → 195
Calls
3 calls:
9.0ms
(/ a (/ (* a c) b))
12.0ms
(/ (* a c) b)
22.0ms
(/ -2.0 (/ a (/ (* a c) b)))

series76.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ a (/ (* a c) b))
36.0ms
(/ (* a c) b)
30.0ms
(/ -2.0 (/ a (/ (* a c) b)))

simplify2.0s

Counts
204 → 204
Iterations
IterNodes
done5072
23457
1882
0319

prune1.3s

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 9.4b

regimes1.4s

Accuracy

47.4% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.9b

bsearch25.0ms

Steps
ItersRangePoint
1
825.8857943049597
863.2800776740891
835.234365147242

simplify12.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.2s8521×body80nan
741.0ms4406×body160valid
665.0ms16521×pre80true
341.0ms3594×body80valid