Details

Time bar (total: 15.2s)

sample120.0ms

Algorithm
intervals
Results
37.0ms517×pre80true
22.0ms140×body160valid
21.0ms261×body80nan
10.0ms116×body80valid

simplify90.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
014365
124365
244325
378325
4102325
5111325
done111325

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
29.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 149
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(- (* b b) (* (* 4.0 a) c))
93.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
46.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series521.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
84.0ms
(- (* b b) (* (* 4.0 a) c))
187.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
137.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify2.4s

Counts
161 → 161
Iterations

Useful iterations: done (2.4s)

IterNodesCost
028087734
168982980
2307682299
done500182259

prune1.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 9.3b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune169.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 9.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.2b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
8.0ms
(/ (* a c) b)
29.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series65.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* a c) b)
38.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.6s

Counts
79 → 79
Iterations

Useful iterations: done (1.6s)

IterNodesCost
016723274
146021513
2291721072
done500220952

prune551.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 9.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
0.3b
(/ b (* a c))
0.3b
(/ 1 (/ b (* a c)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
69×times-frac
49×div-exp
44×add-cbrt-cube
37×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
23×cbrt-undiv
17×prod-exp
13×associate-/l*
11×associate-/r* div-inv
7×cbrt-unprod
6×rec-exp 1-exp
4×pow1
3×clear-num frac-2neg add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
3 → 137
Calls
3 calls:
52.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
11.0ms
(/ b (* a c))
20.0ms
(/ 1 (/ b (* a c)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
34.0ms
(/ b (* a c))
37.0ms
(/ 1 (/ b (* a c)))

simplify2.7s

Counts
146 → 146
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
026045288
171237278
2451533404
done500133404

prune583.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 9.2b

regimes1.2s

Accuracy

42.8% (7.7b remaining)

Error of 17.0b against oracle of 9.3b and baseline of 22.8b

bsearch19.0ms

Steps
ItersRangePoint
0
2072.609825166481
2177.5484668538597
2125.0791460101705
0
248.9628020274003
252.65350759806194
250.80815481273112
1
52.78857874562935
56.54518336069951
53.72772989939689

simplify32.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0311039
1421039
2451039
3481039
done481039

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.2s4454×body160valid
878.0ms8619×body80nan
508.0ms16619×pre80true
366.0ms3546×body80valid