Details

Time bar (total: 16.0s)

sample58.0ms

Algorithm
intervals
Results
12.0ms181×body80valid
9.0ms34×body640valid
8.0ms24×body1280valid
6.0ms256×pre80true
3.0ms14×body320valid
0.0ms3×body160valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5001
94613
81507
7644
6306
5164
474
353
234
120
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.0b
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
19×distribute-lft-out
14×add-cube-cbrt
6×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log add-log-exp
2×pow1 flip3-+ div-sub associate-/r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp associate-+l- div-inv flip--
Counts
2 → 65
Calls
2 calls:
45.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
154.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series152.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
85.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify967.0ms

Counts
71 → 71
Iterations
IterNodes
done5001
21359
1326
0124

prune353.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 17.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
0.0b
(/ beta (+ (+ alpha beta) 2.0))
0.0b
(/ alpha (+ (+ alpha beta) 2.0))
1.0b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite729.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
34×add-sqr-sqrt
32×times-frac
24×add-cube-cbrt distribute-lft-out
11×add-log-exp
10×associate-/r*
8×add-cbrt-cube add-exp-log
6×associate-/l*
4×pow1 diff-log associate-/r/ distribute-lft-out-- difference-of-squares
3×sub-neg flip3-- flip--
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp frac-sub flip-+ div-inv associate--r+
1×associate--r-
Counts
4 → 111
Calls
4 calls:
420.0ms
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
42.0ms
(/ beta (+ (+ alpha beta) 2.0))
30.0ms
(/ alpha (+ (+ alpha beta) 2.0))
233.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series339.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
69.0ms
(/ beta (+ (+ alpha beta) 2.0))
56.0ms
(/ alpha (+ (+ alpha beta) 2.0))
115.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.4s

Counts
123 → 123
Iterations
IterNodes
done5001
21914
1463
0193

prune680.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.6b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
5.7b
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
5.7b
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
5.7b
(cbrt (/ beta (+ (+ alpha beta) 2.0)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
63×cbrt-prod
46×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt
27×distribute-lft-out
6×associate-/r/ add-log-exp
4×pow1 add-cbrt-cube add-exp-log
3×cbrt-div flip3-+ pow1/3 flip-+ div-inv
2×difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 105
Calls
4 calls:
170.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
29.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
19.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
16.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))

series780.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
241.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
231.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
204.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))

simplify1.0s

Counts
117 → 117
Iterations
IterNodes
done5000
21047
1338
0161

prune757.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ alpha (+ (+ alpha beta) 2.0))
0.8b
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
1.0b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
9.8b
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
32×add-sqr-sqrt
18×times-frac
17×add-cube-cbrt
14×log-prod
12×distribute-lft-out
8×log-div
7×exp-sum add-exp-log distribute-lft-out--
6×pow1 add-cbrt-cube add-log-exp difference-of-squares
5×associate-/r* flip3-- flip--
4×exp-prod exp-diff frac-sub
3×associate-/l*
2×associate-/r/ log-pow
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-exp rem-log-exp flip-+ div-inv rem-exp-log
Counts
4 → 95
Calls
4 calls:
53.0ms
(/ alpha (+ (+ alpha beta) 2.0))
406.0ms
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
194.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
398.0ms
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ alpha (+ (+ alpha beta) 2.0))
85.0ms
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
105.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
154.0ms
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

simplify1.4s

Counts
107 → 107
Iterations
IterNodes
done5000
21900
1473
0209

prune684.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.6b

regimes290.0ms

Accuracy

76.4% (3.1b remaining)

Error of 6.3b against oracle of 3.2b and baseline of 16.2b

bsearch71.0ms

Steps
ItersRangePoint
9
32200978691.942776
2.815342563409213e+16
337398417361397.56

simplify10.0ms

Iterations
IterNodes
done34
134
030

end0.0ms

sample1.9s

Algorithm
intervals
Results
821.0ms5820×body80valid
305.0ms854×body1280valid
232.0ms726×body640valid
200.0ms8000×pre80true
69.0ms398×body320valid
26.0ms202×body160valid