Details

Time bar (total: 11.8s)

sample117.0ms

Algorithm
intervals
Results
30.0ms158×body160valid
26.0ms261×body80nan
21.0ms517×pre80true
13.0ms46×body320valid
5.0ms52×body80valid

simplify132.0ms

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: 45.1b

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)
40.7b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite147.0ms

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)))
8.0ms
(- (* b b) (* (* c a) 4))
82.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
49.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series384.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sqrt (- (* b b) (* (* c a) 4)))
54.0ms
(- (* b b) (* (* c a) 4))
148.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
86.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify995.0ms

Counts
100 → 100
Iterations
IterNodes
done2005
32005
21103
1400
0161

prune516.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.0b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune47.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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

series49.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
26.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.1s

Counts
55 → 55
Iterations
IterNodes
done2005
32005
21437
1278
099

prune283.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 4.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.4b
(* (* -2 (/ (* a c) b)) (/ 1 a))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
39×add-cbrt-cube
33×prod-exp
18×div-exp
17×cbrt-unprod
13×associate-*r*
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×cbrt-undiv
7×pow1
4×rec-exp 1-exp
3×associate-/r* pow-prod-down associate-*r/
2×insert-posit16 div-inv add-log-exp
1×frac-times clear-num frac-2neg associate-*l* associate-*l/ un-div-inv *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
13.0ms
(/ (* a c) b)
53.0ms
(* (* -2 (/ (* a c) b)) (/ 1 a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
34.0ms
(* (* -2 (/ (* a c) b)) (/ 1 a))

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
done2001
32001
21747
1426
0144

prune257.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.9b

regimes564.0ms

Accuracy

12.5% (6.2b remaining)

Error of 11.1b against oracle of 4.9b and baseline of 12.0b

bsearch24.0ms

Steps
ItersRangePoint
1
0.022487330640104677
0.02349928003036842
0.02274031798767061

simplify13.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.0s4826×body160valid
1.0s8318×body80nan
1.0s16318×pre80true
652.0ms1380×body320valid
239.0ms1794×body80valid