Details

Time bar (total: 13.8s)

sample102.0ms

Algorithm
intervals
Results
27.0ms120×body320valid
14.0ms488×pre80true
12.0ms232×body80nan
10.0ms93×body160valid
4.0ms18×body640valid
1.0ms25×body80valid

simplify96.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
28.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite170.0ms

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
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 → 75
Calls
4 calls:
12.0ms
(- (* b b) (* (* 3.0 a) c))
87.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
18.0ms
(* (* 3.0 a) c)
48.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series369.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* b b) (* (* 3.0 a) c))
160.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
36.0ms
(* (* 3.0 a) c)
113.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.4s

Counts
87 → 87
Iterations
IterNodes
done5000
22514
1426
0155

prune548.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

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

prune93.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite80.0ms

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* div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 78
Calls
3 calls:
14.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
33.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series119.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* a c) b)
51.0ms
(* -1.5 (/ (* a c) b))
45.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.8s

Counts
87 → 87
Iterations
IterNodes
done5001
22789
1391
0123

prune497.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(* a (/ c b))
0.3b
(* -1.5 (* a (/ c b)))
0.3b
(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
21×prod-exp cbrt-unprod
17×add-sqr-sqrt
14×associate-*r*
12×cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
11×times-frac
10×pow1
associate-*l*
associate-*r/
pow-prod-down
add-log-exp
*-commutative div-inv unswap-sqr
clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
3 → 83
Calls
3 calls:
11.0ms
(* a (/ c b))
18.0ms
(* -1.5 (* a (/ c b)))
32.0ms
(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series111.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* a (/ c b))
37.0ms
(* -1.5 (* a (/ c b)))
40.0ms
(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify2.0s

Counts
92 → 92
Iterations
IterNodes
done5001
22830
1432
0139

prune414.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.6b

regimes655.0ms

Accuracy

0% (3.5b 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

sample4.2s

Algorithm
intervals
Results
1.1s7953×body80nan
1.0s3668×body320valid
584.0ms15953×pre80true
444.0ms2896×body160valid
184.0ms505×body640valid
64.0ms931×body80valid