Details

Time bar (total: 15.5s)

sample132.0ms

Algorithm
intervals
Results
35.0ms574×pre80true
23.0ms318×body80nan
22.0ms146×body160valid
8.0ms110×body80valid

simplify92.0ms

Counts
1 → 1
Iterations
IterNodes
done111
5111
4102
378
244
124
014

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
0.3b
(- (* b b) (* (* c a) 4.0))
28.3b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite162.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
77.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
11.0ms
(- (* b b) (* (* c a) 4.0))
45.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series446.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
164.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
67.0ms
(- (* b b) (* (* c a) 4.0))
110.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.9s

Counts
161 → 161
Iterations
IterNodes
done5001
23070
1693
0280

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.0b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune121.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 9.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:
31.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
8.0ms
(/ (* a c) b)

series57.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
34.0ms
(/ (* a c) b)

simplify1.7s

Counts
79 → 79
Iterations
IterNodes
done5000
23008
1464
0167

prune580.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 8.9b

localize33.0ms

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)) (sqrt b))
0.4b
(/ (* a c) (sqrt b))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
66×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
60×sqrt-prod
44×add-cbrt-cube add-exp-log
23×cbrt-undiv div-exp
18×associate-/l*
15×associate-/r*
14×div-inv
7×prod-exp cbrt-unprod
3×pow1 clear-num frac-2neg add-log-exp
2×associate-/l/
Counts
3 → 174
Calls
3 calls:
29.0ms
(/ (/ (* -2.0 (/ (/ (* a c) (sqrt b)) (sqrt b))) 2.0) a)
19.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
17.0ms
(/ (* a c) (sqrt b))

series211.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (/ (* -2.0 (/ (/ (* a c) (sqrt b)) (sqrt b))) 2.0) a)
72.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
70.0ms
(/ (* a c) (sqrt b))

simplify2.2s

Counts
183 → 183
Iterations
IterNodes
done5000
24593
1833
0304

prune877.0ms

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 8.9b

regimes1.2s

Accuracy

47.4% (7.5b remaining)

Error of 16.5b against oracle of 9.0b and baseline of 23.2b

bsearch67.0ms

Steps
ItersRangePoint
3
204.90887762608816
259.65139672271624
208.2161789220425

simplify7.0ms

Iterations
IterNodes
done25
125
021

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.7s16646×pre80true
797.0ms8646×body80nan
770.0ms4367×body160valid
430.0ms3633×body80valid