Details

Time bar (total: 6.3s)

sample79.0ms

Algorithm
intervals
Results
17.0ms540×pre80true
15.0ms146×body160valid
15.0ms284×body80nan
6.0ms110×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12117
24116
37616
49016
59816
done9816

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 29.9b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.9b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cbrt-cube
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/
frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
4.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* (* 3.0 a) c)
15.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
8.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)
29.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
17.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify640.0ms

Counts
87 → 87
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
01541460
14061392
217141236
done50001224

prune184.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New731487
Fresh000
Picked101
Done000
Total741488

Merged error: 8.6b

Counts
88 → 14

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune54.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 8.6b

Counts
14 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
times-frac associate-*r*
pow1
associate-/r*
associate-*l* div-inv add-log-exp
frac-2neg associate-*r/ clear-num associate-/l*
pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 78
Calls
3 calls:
7.0ms
(* -1.5 (/ (* a c) b))
5.0ms
(/ (* a c) b)
10.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series18.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* -1.5 (/ (* a c) b))
6.0ms
(/ (* a c) b)
6.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify737.0ms

Counts
87 → 87
Iterations

Useful iterations: done (735.0ms)

IterNodesCost
01231086
13881077
22169822
done5000761

prune166.0ms

Filtered
48 candidates to 87 candidates (-81.3%)
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New741387
Fresh01212
Picked101
Done011
Total7526101

Merged error: 8.5b

Counts
101 → 26

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* 3.0 a) b)
0.3b
(* -1.5 (* a c))
0.4b
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r* associate-*l*
add-log-exp
*-commutative
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
3 → 67
Calls
3 calls:
5.0ms
(* (* 3.0 a) b)
5.0ms
(* -1.5 (* a c))
10.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (* 3.0 a) b)
4.0ms
(* -1.5 (* a c))
5.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify951.0ms

Counts
76 → 76
Iterations

Useful iterations: done (949.0ms)

IterNodesCost
0107954
1355939
22511671
done5001639

prune60.0ms

Filtered
36 candidates to 76 candidates (-111.1%)
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New68876
Fresh32124
Picked101
Done101
Total7329102

Merged error: 8.5b

Counts
102 → 29

regimes820.0ms

Accuracy

36.3% (8.5b remaining)

Error of 17.5b against oracle of 9.0b and baseline of 22.4b

bsearch7.0ms

Steps
ItersRangePoint
0
106915.76846159685
108479.46459640599
107697.61652900142
1
34459.95676493853
38097.0705263573
37187.792086002606
0
7489.35264549372
7494.567155557807
7491.959900525763

simplify11.0ms

Iterations

Useful iterations: 4 (6.0ms)

IterNodesCost
02994
13784
24055
34355
44654
55054
65354
done5354

end0.0ms

sample2.3s

Algorithm
intervals
Results
509.0ms16481×pre80true
494.0ms4544×body160valid
457.0ms8481×body80nan
202.0ms3456×body80valid

Profiling

Loading profile data...