Details

Time bar (total: 22.2s)

sample267.0ms

Algorithm
intervals
Results
75.0ms534×pre80true
33.0ms121×body320valid
24.0ms278×body80nan
14.0ms85×body160valid
7.0ms19×body640valid
3.0ms31×body80valid

simplify121.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01417
12717
26816
310516
411616
done11616

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
25.9b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
times-frac sqrt-prod associate-/l* difference-of-squares
pow1
flip3-- flip--
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
140.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
74.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series445.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
61.0ms
(- (* b b) (* (* 4.0 a) c))
141.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
139.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify2.0s

Counts
84 → 84
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01541592
18511471
done50011343

prune374.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune27.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
13.0ms
(/ (* a c) b)
53.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
34.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify8.2s

Counts
57 → 57
Iterations

Useful iterations: done (8.2s)

IterNodesCost
0107782
12138751
done5001523

prune195.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* -2.0 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2.0 a))
0.3b
(/ (* a c) (sqrt b))
0.4b
(/ (/ (* a c) (sqrt b)) (sqrt b))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
109×times-frac
62×add-exp-log add-cbrt-cube
60×sqrt-prod
50×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-undiv div-exp
17×prod-exp cbrt-unprod
13×associate-/r*
12×associate-/l*
10×div-inv
pow1 frac-2neg clear-num add-log-exp
associate-/l/
associate-*r/
Counts
3 → 154
Calls
3 calls:
66.0ms
(/ (* -2.0 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2.0 a))
22.0ms
(/ (* a c) (sqrt b))
43.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

series199.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ (* -2.0 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2.0 a))
78.0ms
(/ (* a c) (sqrt b))
58.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

simplify4.6s

Counts
163 → 163
Iterations

Useful iterations: done (4.6s)

IterNodesCost
02472844
133352281
done50001998

prune406.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.7b

regimes329.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.1s8339×body80nan
965.0ms3606×body320valid
676.0ms16339×pre80true
545.0ms2912×body160valid
267.0ms508×body640valid
139.0ms974×body80valid