Details

Time bar (total: 22.1s)

sample107.0ms

Algorithm
intervals
Results
24.0ms138×body160valid
21.0ms511×pre80true
21.0ms255×body80nan
15.0ms57×body320valid
6.0ms61×body80valid

simplify134.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
37.9b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
15.0ms
(- (* b b) (* (* 3 a) c))
29.0ms
(* (* 3 a) c)
122.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
62.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series362.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (* b b) (* (* 3 a) c))
36.0ms
(* (* 3 a) c)
148.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
124.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done2000
32000
21459
1424
0158

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.4b

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

prune89.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.4b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
9.0ms
(/ (* a c) b)
16.0ms
(* -3/2 (/ (* a c) b))
36.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series99.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (* a c) b)
37.0ms
(* -3/2 (/ (* a c) b))
24.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify845.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
22001
1382
0126

prune885.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 4.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (* (* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c))) -3/2) 27) (* a (* a a)))
0.3b
(* (* 9/4 (/ a (/ b c))) (/ a (/ b c)))
0.4b
(* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c)))
0.6b
(cbrt (/ (/ (* (* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c))) -3/2) 27) (* a (* a a))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
1534×add-cbrt-cube add-exp-log
678×cbrt-undiv div-exp
675×prod-exp cbrt-unprod
155×times-frac
88×associate-*r*
81×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×pow1
13×div-inv
11×cbrt-prod
10×associate-*r/
9×pow-prod-down
7×associate-/l*
6×frac-times associate-*l/
4×insert-posit16 add-log-exp
2×associate-*l* associate-/r/ *-commutative
1×cbrt-div clear-num associate-/r* frac-2neg pow1/3 associate-/l/
Counts
4 → 525
Calls
4 calls:
664.0ms
(/ (/ (* (* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c))) -3/2) 27) (* a (* a a)))
62.0ms
(* (* 9/4 (/ a (/ b c))) (/ a (/ b c)))
132.0ms
(* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c)))
457.0ms
(cbrt (/ (/ (* (* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c))) -3/2) 27) (* a (* a a))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ (/ (* (* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c))) -3/2) 27) (* a (* a a)))
94.0ms
(* (* 9/4 (/ a (/ b c))) (/ a (/ b c)))
176.0ms
(* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c)))
144.0ms
(cbrt (/ (/ (* (* (* (* 9/4 (/ a (/ b c))) (/ a (/ b c))) (/ a (/ b c))) -3/2) 27) (* a (* a a))))

simplify2.0s

Counts
537 → 537
Iterations
IterNodes
done2000
12000
0858

prune6.9s

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 4.4b

regimes663.0ms

Accuracy

6.1% (6.2b remaining)

Error of 11.0b against oracle of 4.8b and baseline of 11.4b

bsearch21.0ms

Steps
ItersRangePoint
2
0.09825587916722509
0.10795645039315663
0.09946845057046652

simplify5.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.9s4791×body160valid
1.1s16211×pre80true
935.0ms8211×body80nan
568.0ms1490×body320valid
220.0ms1719×body80valid