Details

Time bar (total: 14.0s)

sample129.0ms

Algorithm
intervals
Results
33.0ms540×pre80true
30.0ms149×body160valid
27.0ms284×body80nan
15.0ms49×body320valid
5.0ms58×body80valid

simplify117.0ms

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: 42.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
36.1b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite121.0ms

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:
13.0ms
(sqrt (- (* b b) (* (* c a) 4)))
12.0ms
(- (* b b) (* (* c a) 4))
64.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
31.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series331.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (- (* b b) (* (* c a) 4)))
47.0ms
(- (* b b) (* (* c a) 4))
101.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
110.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify912.0ms

Counts
100 → 100
Iterations
IterNodes
done2005
32005
21103
1400
0161

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.1b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune64.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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)
23.0ms
(/ (* -2 (/ (* a c) b)) a)

series47.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
25.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify968.0ms

Counts
55 → 55
Iterations
IterNodes
done2005
32005
21437
1278
099

prune524.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (sqrt b))
0.2b
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
0.3b
(/ c (sqrt b))
0.4b
(* (/ a (sqrt b)) (/ c (sqrt b)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
87×times-frac
62×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
45×add-cbrt-cube add-exp-log
22×associate-*r* associate-*l*
16×cbrt-undiv div-exp
15×associate-/r*
13×prod-exp cbrt-unprod
9×unswap-sqr
7×associate-/l*
6×pow1
5×associate-*r/ div-inv
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-/l/
2×frac-times associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 187
Calls
4 calls:
4.0ms
(/ a (sqrt b))
35.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
4.0ms
(/ c (sqrt b))
17.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ a (sqrt b))
44.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
53.0ms
(/ c (sqrt b))
40.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify1.0s

Counts
199 → 199
Iterations
IterNodes
done2001
22001
1849
0289

prune2.0s

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.0b

regimes702.0ms

Accuracy

12.1% (5.8b remaining)

Error of 10.8b against oracle of 5.0b and baseline of 11.6b

bsearch65.0ms

Steps
ItersRangePoint
4
3.731177818161713e-05
7.441032871518307e-05
3.826212081602258e-05

simplify4.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.6s8107×body80nan
1.4s4897×body160valid
1.0s16107×pre80true
532.0ms1380×body320valid
240.0ms1723×body80valid