Details

Time bar (total: 11.7s)

sample174.0ms

Algorithm
intervals
Results
55.0ms557×pre80true
38.0ms301×body80nan
36.0ms135×body160valid
17.0ms121×body80valid

simplify92.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.3b
(- (* b b) (* (* c a) 4))
28.3b
(- (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
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:
16.0ms
(sqrt (- (* b b) (* (* c a) 4)))
94.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
14.0ms
(- (* b b) (* (* c a) 4))
39.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series413.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sqrt (- (* b b) (* (* c a) 4)))
163.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
50.0ms
(- (* b b) (* (* c a) 4))
106.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done2001
32001
21107
1400
0161

prune533.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.7b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune65.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.7b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:
15.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series47.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* -2 (/ (* a c) b)) a)
27.0ms
(/ (* a c) b)

simplify827.0ms

Counts
55 → 55
Iterations
IterNodes
done2083
32083
21429
1278
099

prune269.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.6b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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:
9.0ms
(/ -2 (/ a (/ (* a c) b)))
8.0ms
(/ a (/ (* a c) b))
12.0ms
(/ (* a c) b)

series53.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ -2 (/ a (/ (* a c) b)))
10.0ms
(/ a (/ (* a c) b))
23.0ms
(/ (* a c) b)

simplify873.0ms

Counts
207 → 207
Iterations
IterNodes
done2000
22000
1893
0322

prune776.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 8.5b

regimes872.0ms

Accuracy

47.7% (7.3b remaining)

Error of 16.2b against oracle of 9.0b and baseline of 22.9b

bsearch25.0ms

Steps
ItersRangePoint
2
2450.918963182764
2807.598712286329
2495.5039318207096

simplify6.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.5s8924×body80nan
1.2s4419×body160valid
1.2s16924×pre80true
521.0ms3581×body80valid