Details

Time bar (total: 12.8s)

sample163.0ms

Algorithm
intervals
Results
41.0ms258×body80nan
41.0ms119×body320valid
27.0ms514×pre80true
21.0ms94×body160valid
7.0ms17×body640valid
3.0ms26×body80valid

simplify80.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.5b

localize22.0ms

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)

rewrite183.0ms

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:
7.0ms
(- (* b b) (* (* 3 a) c))
87.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
28.0ms
(* (* 3 a) c)
59.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series336.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (* b b) (* (* 3 a) c))
129.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
29.0ms
(* (* 3 a) c)
116.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done2121
32121
21457
1423
0158

prune468.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune56.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize19.0ms

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))

rewrite54.0ms

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:
9.0ms
(/ (* a c) b)
15.0ms
(* -3/2 (/ (* a c) b))
30.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series91.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* a c) b)
35.0ms
(* -3/2 (/ (* a c) b))
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify985.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
22001
1382
0126

prune483.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.4b

localize20.0ms

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))

rewrite35.0ms

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
associate-/r/
associate-/l*
pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
3 → 138
Calls
3 calls:
11.0ms
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
9.0ms
(/ (* a c) b)
12.0ms
(/ (* 3 a) (/ (* a c) b))

series99.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
39.0ms
(/ (* a c) b)
24.0ms
(/ (* 3 a) (/ (* a c) b))

simplify932.0ms

Counts
147 → 147
Iterations
IterNodes
done2001
22001
1665
0226

prune680.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 2.4b

regimes467.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample6.3s

Algorithm
intervals
Results
1.5s3656×body320valid
1.5s16245×pre80true
1.2s8245×body80nan
802.0ms2956×body160valid
634.0ms464×body640valid
115.0ms924×body80valid