Details

Time bar (total: 31.1s)

sample264.0ms

Algorithm
intervals
Results
36.0ms125×body320valid
24.0ms255×body80nan
21.0ms511×pre80true
15.0ms83×body160valid
8.0ms20×body640valid
2.0ms28×body80valid

simplify416.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
372
242
124
014

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize115.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(- (* b b) (* (* c a) 4.0))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
23.2b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite479.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×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:
33.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
38.0ms
(- (* b b) (* (* c a) 4.0))
256.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
146.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series631.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
91.0ms
(- (* b b) (* (* c a) 4.0))
203.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
164.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify7.9s

Counts
100 → 100
Iterations
IterNodes
done5000
34489
21117
1394
0162

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.6b

localize53.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune190.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.6b

localize96.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
44.0ms
(/ (* a c) b)
82.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series104.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (* a c) b)
52.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify2.8s

Counts
55 → 55
Iterations
IterNodes
done5115
21477
1274
099

prune885.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.5b

localize65.0ms

Local error

Found 3 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×associate-/r*
31×add-cbrt-cube add-exp-log
23×div-inv
16×cbrt-undiv div-exp
7×associate-/l*
6×associate-/r/
3×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
Counts
3 → 198
Calls
3 calls:
22.0ms
(/ (* a c) b)
27.0ms
(/ a (/ (* a c) b))
62.0ms
(/ -2.0 (/ a (/ (* a c) b)))

series109.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (* a c) b)
15.0ms
(/ a (/ (* a c) b))
44.0ms
(/ -2.0 (/ a (/ (* a c) b)))

simplify6.0s

Counts
207 → 207
Iterations
IterNodes
done5001
23611
1887
0322

prune2.6s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.5b

regimes1.5s

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.4s16268×pre80true
1.2s3666×body320valid
1.1s8268×body80nan
615.0ms2943×body160valid
172.0ms490×body640valid
81.0ms901×body80valid