Details

Time bar (total: 13.7s)

sample165.0ms

Algorithm
intervals
Results
31.0ms139×body160valid
27.0ms256×body80nan
25.0ms512×pre80true
20.0ms56×body320valid
7.0ms61×body80valid

simplify142.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.0b

localize23.0ms

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)
37.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite128.0ms

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))
64.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
49.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series433.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(sqrt (- (* b b) (* (* c a) 4)))
46.0ms
(- (* b b) (* (* c a) 4))
148.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
128.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify969.0ms

Counts
100 → 100
Iterations
IterNodes
done2005
32005
21103
1400
0161

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.3b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune68.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.3b

localize14.0ms

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
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:
8.0ms
(/ (* a c) b)
21.0ms
(/ (* -2 (/ (* a c) b)) a)

series69.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* a c) b)
34.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done2005
32005
21437
1278
099

prune556.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.3b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:
12.0ms
(/ a (/ b c))
28.0ms
(/ (* -2 (/ a (/ b c))) a)

series60.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ a (/ b c))
36.0ms
(/ (* -2 (/ a (/ b c))) a)

simplify945.0ms

Counts
104 → 104
Iterations
IterNodes
done2000
22000
1527
0198

prune1.1s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 4.3b

regimes626.0ms

Accuracy

6.9% (6.2b remaining)

Error of 11.0b against oracle of 4.8b and baseline of 11.5b

bsearch36.0ms

Steps
ItersRangePoint
2
0.09825587916722509
0.10795645039315663
0.09946845057046652

simplify7.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.8s4809×body160valid
1.2s8275×body80nan
1.1s16275×pre80true
1.1s1479×body320valid
280.0ms1712×body80valid