Details

Time bar (total: 13.6s)

sample214.0ms

Algorithm
intervals
Results
76.0ms284×body80nan
50.0ms149×body160valid
38.0ms540×pre80true
18.0ms107×body80valid

simplify138.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.3b
(- (* b b) (* (* c a) 4))
0.3b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
29.3b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite183.0ms

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:
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))
14.0ms
(- (* b b) (* (* c a) 4))
84.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
68.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series408.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sqrt (- (* b b) (* (* c a) 4)))
57.0ms
(- (* b b) (* (* c a) 4))
151.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
104.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.6s

Counts
100 → 100
Iterations
IterNodes
33594
21093
1398
0161

prune647.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.4b

localize21.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune86.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.4b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
30.0ms
(/ (* -2 (/ (* a c) b)) a)
10.0ms
(/ (* a c) b)

series72.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* -2 (/ (* a c) b)) a)
35.0ms
(/ (* a c) b)

simplify3.1s

Counts
55 → 55
Iterations
IterNodes
36587
21060
1263
099

prune301.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.4b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×add-exp-log
10×add-cbrt-cube
7×associate-/r* div-exp
5×cbrt-undiv div-inv
3×associate-/l*
2×prod-exp
1×pow1 clear-num frac-2neg 1-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp
Counts
1 → 50
Calls
1 calls:
14.0ms
(/ -2 (/ (* b 1) c))

series28.0ms

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

simplify734.0ms

Counts
53 → 53
Iterations
IterNodes
32172
2610
1248
0115

prune155.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 8.3b

regimes636.0ms

Accuracy

44.5% (7.6b remaining)

Error of 16.7b against oracle of 9.1b and baseline of 22.7b

bsearch3.0ms

Steps
ItersRangePoint
0
2862.7645223887616
2921.618168739223
2892.1913455639924

simplify7.0ms

Iterations
IterNodes
235
135
026

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.6s8403×body80nan
1.3s4500×body160valid
1.1s16403×pre80true
503.0ms3500×body80valid