Details

Time bar (total: 13.9s)

sample171.0ms

Algorithm
intervals
Results
41.0ms301×body80nan
37.0ms135×body160valid
33.0ms557×pre80true
29.0ms121×body80valid

simplify128.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize50.0ms

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)

rewrite198.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* c a) 4)))
122.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
15.0ms
(- (* b b) (* (* c a) 4))
44.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series411.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- (* b b) (* (* c a) 4)))
143.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
68.0ms
(- (* b b) (* (* c a) 4))
119.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done2001
32001
21107
1400
0161

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.7b

localize14.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune100.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.7b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
19.0ms
(/ (* -2 (/ (* a c) b)) a)
13.0ms
(/ (* a c) b)

series60.0ms

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

simplify947.0ms

Counts
55 → 55
Iterations
IterNodes
done2083
32083
21429
1278
099

prune531.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.6b

localize33.0ms

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)

rewrite56.0ms

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:
17.0ms
(/ -2 (/ a (/ (* a c) b)))
15.0ms
(/ a (/ (* a c) b))
18.0ms
(/ (* a c) b)

series88.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ -2 (/ a (/ (* a c) b)))
17.0ms
(/ a (/ (* a c) b))
35.0ms
(/ (* a c) b)

simplify798.0ms

Counts
207 → 207
Iterations
IterNodes
done2000
22000
1893
0322

prune1.8s

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 8.5b

regimes782.0ms

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

simplify11.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.6s8924×body80nan
1.5s4419×body160valid
1.1s16924×pre80true
544.0ms3581×body80valid