Details

Time bar (total: 12.8s)

sample88.0ms

Algorithm
intervals
Results
22.0ms162×body160valid
18.0ms495×pre80true
16.0ms239×body80nan
8.0ms37×body320valid
4.0ms57×body80valid

simplify93.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
38.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
sqrt-prod add-log-exp
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
flip3-- insert-posit16 flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
9.0ms
(sqrt (- (* b b) (* (* c a) 4)))
8.0ms
(- (* b b) (* (* c a) 4))
99.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
47.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series367.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (- (* b b) (* (* c a) 4)))
49.0ms
(- (* b b) (* (* c a) 4))
131.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
103.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify2.8s

Counts
100 → 100
Iterations
IterNodes
done5002
34569
21103
1400
0161

prune646.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.2b

localize20.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune69.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.2b

localize31.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (* -2 (/ (* a c) b)) a)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
19.0ms
(/ (* a c) b)
21.0ms
(/ (* -2 (/ (* a c) b)) a)

series56.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* a c) b)
21.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune310.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ b (* a c))
0.3b
(/ 1 (/ b (* a c)))
0.3b
(/ (* -2 (/ 1 (/ b (* a c)))) a)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×times-frac
37×add-cbrt-cube div-exp
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv prod-exp
11×associate-/r*
cbrt-unprod div-inv associate-/l*
rec-exp 1-exp
pow1
clear-num frac-2neg insert-posit16 add-log-exp
associate-/l/
associate-*r/ associate-/r/ un-div-inv pow-flip inv-pow
Counts
3 → 115
Calls
3 calls:
13.0ms
(/ b (* a c))
14.0ms
(/ 1 (/ b (* a c)))
35.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) a)

series92.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ b (* a c))
38.0ms
(/ 1 (/ b (* a c)))
29.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) a)

simplify1.4s

Counts
124 → 124
Iterations
IterNodes
done5026
21996
1483
0186

prune470.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.2b

regimes589.0ms

Accuracy

11.8% (6.3b remaining)

Error of 11.5b against oracle of 5.2b and baseline of 12.3b

bsearch59.0ms

Steps
ItersRangePoint
3
0.001235527435550306
0.0015236040748043695
0.0012535322255036849

simplify9.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.4s4823×body160valid
849.0ms7968×body80nan
849.0ms15968×pre80true
486.0ms1305×body320valid
155.0ms1872×body80valid