Details

Time bar (total: 14.2s)

sample180.0ms

Algorithm
intervals
Results
43.0ms119×body320valid
30.0ms258×body80nan
30.0ms514×pre80true
23.0ms94×body160valid
20.0ms26×body80valid
8.0ms17×body640valid

simplify125.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.5b

localize21.0ms

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))
0.2b
(* (* 3 a) c)
25.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×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))
89.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
25.0ms
(* (* 3 a) c)
56.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series405.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (* b b) (* (* 3 a) c))
160.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
25.0ms
(* (* 3 a) c)
139.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.4s

Counts
91 → 91
Iterations
IterNodes
done2121
32121
21457
1423
0158

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.4b

localize15.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune44.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
22.0ms
(/ (* a c) b)
15.0ms
(* -3/2 (/ (* a c) b))
18.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series102.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (* a c) b)
31.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify888.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
22001
1382
0126

prune751.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
0.3b
(/ (* a c) b)
0.4b
(/ (* 3 a) (/ (* a c) b))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
58×add-cbrt-cube add-exp-log
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
29×cbrt-undiv div-exp
22×associate-/r*
13×div-inv
11×prod-exp cbrt-unprod
6×associate-/r/
5×associate-/l*
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
3 → 138
Calls
3 calls:
19.0ms
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
17.0ms
(/ (* a c) b)
19.0ms
(/ (* 3 a) (/ (* a c) b))

series93.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
25.0ms
(/ (* a c) b)
27.0ms
(/ (* 3 a) (/ (* a c) b))

simplify1.0s

Counts
147 → 147
Iterations
IterNodes
done2001
22001
1665
0226

prune1.1s

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 2.4b

regimes612.0ms

Accuracy

0% (3.5b remaining)

Error of 6.3b against oracle of 2.8b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample6.0s

Algorithm
intervals
Results
1.9s3656×body320valid
1.4s16245×pre80true
1.1s8245×body80nan
879.0ms2956×body160valid
221.0ms464×body640valid
161.0ms924×body80valid