Details

Time bar (total: 10.3s)

sample151.0ms

Algorithm
intervals
Results
32.0ms313×body80nan
31.0ms39×body320valid
29.0ms144×body160valid
27.0ms569×pre80true
8.0ms73×body80valid

simplify79.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
38.3b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite141.0ms

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:
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
7.0ms
(- (* b b) (* (* c a) 4))
78.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
47.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series371.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(sqrt (- (* b b) (* (* c a) 4)))
53.0ms
(- (* b b) (* (* c a) 4))
104.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
101.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify709.0ms

Counts
100 → 100
Iterations
IterNodes
done2005
21103
1400
0161

prune490.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune66.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.4b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
18.0ms
(/ (* a c) b)
29.0ms
(/ (* -2 (/ (* a c) b)) a)

series56.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
34.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify766.0ms

Counts
55 → 55
Iterations
IterNodes
done2005
21437
1278
099

prune347.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.3b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×associate-/r*
10×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
3×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
2 → 98
Calls
2 calls:
6.0ms
(/ a (/ b c))
17.0ms
(/ (* -2 (/ a (/ b c))) a)

series62.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ a (/ b c))
32.0ms
(/ (* -2 (/ a (/ b c))) a)

simplify495.0ms

Counts
104 → 104
Iterations
IterNodes
done2000
1527
0198

prune449.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.3b

regimes595.0ms

Accuracy

12.7% (6.2b remaining)

Error of 11.3b against oracle of 5.1b and baseline of 12.2b

bsearch59.0ms

Steps
ItersRangePoint
3
0.003949431744859718
0.005039421219039135
0.004017556086995931

simplify4.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.4s4803×body160valid
1.4s16266×pre80true
1.1s8266×body80nan
564.0ms1350×body320valid
224.0ms1847×body80valid