Details

Time bar (total: 12.9s)

sample187.0ms

Algorithm
intervals
Results
47.0ms310×body80nan
47.0ms566×pre80true
43.0ms132×body160valid
21.0ms124×body80valid

simplify135.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(- (* b b) (* (* c a) 4))
0.3b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
27.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
sqrt-prod add-log-exp
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
flip3-- insert-posit16 flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
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:
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))
7.0ms
(- (* b b) (* (* c a) 4))
109.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
44.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series339.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (- (* b b) (* (* c a) 4)))
47.0ms
(- (* b b) (* (* c a) 4))
106.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
110.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done2005
32005
21103
1400
0161

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.1b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune59.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
10.0ms
(/ (* a c) b)
16.0ms
(/ (* -2 (/ (* a c) b)) a)

series66.0ms

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

simplify1.0s

Counts
55 → 55
Iterations
IterNodes
done2005
32005
21437
1278
099

prune388.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 9.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
39×add-cbrt-cube
33×prod-exp
18×div-exp
17×cbrt-unprod
13×associate-*r*
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×cbrt-undiv
pow1
rec-exp 1-exp associate-*r/
associate-/r* pow-prod-down
un-div-inv insert-posit16 div-inv add-log-exp associate-/l/
clear-num frac-2neg associate-*l* *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
47.0ms
(/ (* -2 (* (* a c) (/ 1 b))) a)
19.0ms
(* (* a c) (/ 1 b))

series51.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* -2 (* (* a c) (/ 1 b))) a)
21.0ms
(* (* a c) (/ 1 b))

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
done2001
32001
21789
1440
0151

prune631.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 9.0b

regimes656.0ms

Accuracy

48.1% (7.0b remaining)

Error of 16.1b against oracle of 9.1b and baseline of 22.6b

bsearch3.0ms

Steps
ItersRangePoint
0
1072.0421178334989
1095.414553911296
1083.7283358723973

simplify5.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.0s4543×body160valid
1.2s8582×body80nan
944.0ms16582×pre80true
597.0ms3456×body80valid
0.0msbody320valid