Details

Time bar (total: 16.0s)

sample299.0ms

Algorithm
intervals
Results
68.0ms507×pre80true
43.0ms106×body320valid
34.0ms251×body80nan
25.0ms95×body160valid
10.0ms19×body640valid
5.0ms36×body80valid

simplify150.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.5b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
27.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite230.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* c a) 4)))
16.0ms
(- (* b b) (* (* c a) 4))
124.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
71.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series421.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(sqrt (- (* b b) (* (* c a) 4)))
65.0ms
(- (* b b) (* (* c a) 4))
123.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
145.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify3.1s

Counts
100 → 100
Iterations
IterNodes
done5002
34569
21103
1400
0161

prune750.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.1b

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

prune118.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2 (/ (* a c) b)) a)

rewrite30.0ms

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:
12.0ms
(/ (* a c) b)
16.0ms
(/ (* -2 (/ (* a c) b)) a)

series72.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* a c) b)
35.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune384.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 3.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ a (* -2 (/ (* a c) b))))
0.2b
(/ (* a c) b)
0.3b
(/ a (* -2 (/ (* a c) b)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
72×add-exp-log
42×times-frac add-cbrt-cube
36×div-exp
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×cbrt-undiv
17×prod-exp
12×associate-/r*
cbrt-unprod
div-inv associate-/l*
associate-/r/
rec-exp 1-exp associate-*r/
pow1
clear-num frac-2neg insert-posit16 add-log-exp
pow-flip inv-pow
Counts
3 → 118
Calls
3 calls:
37.0ms
(/ 1 (/ a (* -2 (/ (* a c) b))))
9.0ms
(/ (* a c) b)
13.0ms
(/ a (* -2 (/ (* a c) b)))

series86.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (/ a (* -2 (/ (* a c) b))))
25.0ms
(/ (* a c) b)
24.0ms
(/ a (* -2 (/ (* a c) b)))

simplify1.5s

Counts
127 → 127
Iterations
IterNodes
done5001
21795
1474
0186

prune405.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 3.1b

regimes569.0ms

Accuracy

0% (3.7b remaining)

Error of 6.5b against oracle of 2.8b and baseline of 6.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample6.5s

Algorithm
intervals
Results
2.3s3530×body320valid
1.2s8104×body80nan
1.1s16104×pre80true
908.0ms3026×body160valid
309.0ms498×body640valid
146.0ms946×body80valid