Details

Time bar (total: 15.1s)

sample388.0ms

Algorithm
intervals
Results
65.0ms116×body320valid
55.0ms27×body80valid
43.0ms267×body80nan
39.0ms523×pre80true
34.0ms95×body160valid
13.0ms18×body640valid

simplify318.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
26.7b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite282.0ms

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:
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))
26.0ms
(- (* b b) (* (* c a) 4))
168.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
70.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series583.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(sqrt (- (* b b) (* (* c a) 4)))
76.0ms
(- (* b b) (* (* c a) 4))
172.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
213.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done2005
32005
21103
1400
0161

prune550.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune64.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
17.0ms
(/ (* a c) b)
30.0ms
(/ (* -2 (/ (* a c) b)) a)

series72.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (* a c) b)
34.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.3s

Counts
55 → 55
Iterations
IterNodes
done2005
32005
21437
1278
099

prune363.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.7b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite107.0ms

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:
83.0ms
(/ (* -2 (* (* a c) (/ 1 b))) a)
21.0ms
(* (* a c) (/ 1 b))

series70.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* -2 (* (* a c) (/ 1 b))) a)
36.0ms
(* (* a c) (/ 1 b))

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
done2001
32001
21789
1440
0151

prune218.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.7b

regimes489.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.6b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample7.4s

Algorithm
intervals
Results
2.4s3607×body320valid
1.5s2950×body160valid
1.2s8230×body80nan
1.1s16230×pre80true
424.0ms546×body640valid
132.0ms897×body80valid