Details

Time bar (total: 10.0s)

sample63.0ms

Algorithm
intervals
Results
12.0ms112×body320valid
10.0ms533×pre80true
9.0ms277×body80nan
7.0ms98×body160valid
3.0ms19×body640valid
1.0ms27×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12417
24416
37816
49016
59816
done9816

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
28.5b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite68.0ms

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-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv flip3-- div-exp associate-/r* flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 149
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
36.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
18.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series303.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms
(- (* b b) (* (* 4.0 a) c))
108.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
81.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify765.0ms

Counts
161 → 161
Iterations

Useful iterations: done (759.0ms)

IterNodesCost
02804083
16653911
221763753
done50003752

prune454.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize3.0ms

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

prune33.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* a c) b)
10.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series42.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* a c) b)
20.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify573.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
01671164
14401118
21943956
done5000956

prune192.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
4277×times-frac
1606×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
282×div-inv
108×associate-/r*
87×add-exp-log
67×add-cbrt-cube
63×div-exp
44×cbrt-undiv
17×associate-/l*
16×associate-/r/
5×1-exp prod-exp
4×cbrt-unprod
3×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
3 → 1313
Calls
3 calls:
13.0ms
(/ a (/ (/ (* a c) b) 2.0))
40.0ms
(/ (/ -2.0 1) (/ a (/ (/ (* a c) b) 2.0)))
3.0ms
(/ (* a c) b)

series65.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ a (/ (/ (* a c) b) 2.0))
21.0ms
(/ (/ -2.0 1) (/ a (/ (/ (* a c) b) 2.0)))
19.0ms
(/ (* a c) b)

simplify580.0ms

Counts
1322 → 1322
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
0240139459
done500039459

prune4.6s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 2.6b

regimes326.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.6s

Algorithm
intervals
Results
383.0ms3624×body320valid
295.0ms16210×pre80true
267.0ms8210×body80nan
208.0ms2991×body160valid
66.0ms472×body640valid
33.0ms913×body80valid