Details

Time bar (total: 12.1s)

sample185.0ms

Algorithm
intervals
Results
63.0ms124×body320valid
32.0ms298×body80nan
30.0ms554×pre80true
22.0ms83×body160valid
10.0ms21×body640valid
3.0ms28×body80valid

simplify127.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
25.4b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
15.0ms
(- (* b b) (* (* 3 a) c))
92.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
28.0ms
(* (* 3 a) c)
41.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series365.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (* b b) (* (* 3 a) c))
141.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
36.0ms
(* (* 3 a) c)
105.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done2121
32121
21457
1423
0158

prune482.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.2b

localize14.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune72.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
26.0ms
(* -3/2 (/ (* a c) b))
18.0ms
(/ (* a c) b)
42.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series90.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* -3/2 (/ (* a c) b))
24.0ms
(/ (* a c) b)
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify857.0ms

Counts
90 → 90
Iterations
IterNodes
done2005
22005
1382
0126

prune438.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
associate-/l/
Counts
2 → 71
Calls
2 calls:
19.0ms
(/ (/ (* a c) b) a)
9.0ms
(/ (* a c) b)

series34.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (/ (* a c) b) a)
24.0ms
(/ (* a c) b)

simplify991.0ms

Counts
77 → 77
Iterations
IterNodes
done2017
32017
2999
1301
0119

prune303.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.1b

regimes552.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.3s3579×body320valid
1.0s15922×pre80true
999.0ms7922×body80nan
770.0ms541×body640valid
748.0ms2933×body160valid
109.0ms947×body80valid