Details

Time bar (total: 15.4s)

sample271.0ms

Algorithm
intervals
Results
71.0ms292×body80nan
45.0ms124×body320valid
29.0ms548×pre80true
22.0ms89×body160valid
9.0ms21×body640valid
3.0ms22×body80valid

simplify147.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.1b
(- (* b b) (* (* c a) 4))
23.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite174.0ms

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:
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))
100.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
7.0ms
(- (* b b) (* (* c a) 4))
48.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series424.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(sqrt (- (* b b) (* (* c a) 4)))
144.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
66.0ms
(- (* b b) (* (* c a) 4))
110.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify2.9s

Counts
100 → 100
Iterations
IterNodes
done5002
34730
21107
1400
0161

prune572.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.1b

localize18.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune40.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:
9.0ms
(/ (* a c) b)
16.0ms
(/ (* -2 (/ (* a c) b)) a)

series63.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* a c) b)
32.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune276.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.1b

localize38.0ms

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)

rewrite86.0ms

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:
12.0ms
(/ b (* a c))
23.0ms
(/ 1 (/ b (* a c)))
50.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) a)

series90.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ b (* a c))
35.0ms
(/ 1 (/ b (* a c)))
19.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) a)

simplify1.4s

Counts
124 → 124
Iterations
IterNodes
done5026
21996
1483
0186

prune427.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.1b

regimes391.0ms

Accuracy

0% (3.1b remaining)

Error of 5.8b against oracle of 2.7b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.2s3661×body320valid
1.2s8025×body80nan
1.0s16025×pre80true
904.0ms2972×body160valid
370.0ms510×body640valid
115.0ms857×body80valid