Details

Time bar (total: 18.8s)

sample200.0ms

Algorithm
intervals
Results
48.0ms140×body160valid
43.0ms116×body80valid
43.0ms272×body80nan
37.0ms528×pre80true

simplify110.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
28.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite202.0ms

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-- insert-posit16 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 → 88
Calls
4 calls:
16.0ms
(sqrt (- (* b b) (* (* c a) 4)))
17.0ms
(- (* b b) (* (* c a) 4))
113.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
55.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series459.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(sqrt (- (* b b) (* (* c a) 4)))
75.0ms
(- (* b b) (* (* c a) 4))
152.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
118.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.5s

Counts
100 → 100
Iterations
IterNodes
33594
21093
1398
0161

prune1.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.9b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune132.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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 insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
9.0ms
(/ (* a c) b)
20.0ms
(/ (* -2 (/ (* a c) b)) a)

series43.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
21.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify3.6s

Counts
55 → 55
Iterations
IterNodes
36821
21066
1263
099

prune581.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 8.8b

localize28.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ -2 (* 1 (/ b c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
10×add-cbrt-cube
7×div-exp
4×cbrt-undiv prod-exp
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×1-exp cbrt-unprod
1×pow1 clear-num associate-/r* frac-2neg associate-*r/ associate-/r/ insert-posit16 div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
16.0ms
(/ -2 (* 1 (/ b c)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ -2 (* 1 (/ b c)))

simplify4.4s

Counts
30 → 30
Iterations
IterNodes
45535
31450
2416
1156
070

prune219.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 8.8b

regimes705.0ms

Accuracy

49.1% (7.2b remaining)

Error of 16.4b against oracle of 9.2b and baseline of 23.3b

bsearch51.0ms

Steps
ItersRangePoint
3
1298.420486427075
1575.0960898183166
1315.7127116390275

simplify7.0ms

Iterations
IterNodes
235
135
026

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.6s16566×pre80true
1.4s8566×body80nan
1.3s4371×body160valid
489.0ms3629×body80valid