Details

Time bar (total: 12.5s)

sample58.0ms

Algorithm
intervals
Results
12.0ms146×body160valid
11.0ms278×body80nan
11.0ms534×pre80true
5.0ms110×body80valid

simplify69.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite167.0ms

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
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 → 75
Calls
4 calls:
12.0ms
(- (* b b) (* (* 3.0 a) c))
17.0ms
(* (* 3.0 a) c)
93.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
41.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series364.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* b b) (* (* 3.0 a) c))
28.0ms
(* (* 3.0 a) c)
146.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
132.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.0s

Counts
87 → 87
Iterations
IterNodes
done5000
22483
1428
0155

prune538.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.1b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune90.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite74.0ms

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* 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 → 78
Calls
3 calls:
10.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
34.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series96.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* a c) b)
45.0ms
(* -1.5 (/ (* a c) b))
29.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
22789
1391
0123

prune570.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 9.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (* a c))
0.3b
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
0.4b
(* (* -1.5 (* a c)) (/ 1 b))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
166×add-exp-log
94×add-cbrt-cube
88×prod-exp
46×cbrt-unprod
44×div-exp
23×cbrt-undiv
17×pow1
14×associate-*r*
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×times-frac
9×rec-exp 1-exp pow-prod-down
4×associate-*l*
3×add-log-exp
2×associate-*r/ un-div-inv *-commutative div-inv associate-/l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
3 → 118
Calls
3 calls:
18.0ms
(* -1.5 (* a c))
67.0ms
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
64.0ms
(* (* -1.5 (* a c)) (/ 1 b))

series112.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* -1.5 (* a c))
31.0ms
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
57.0ms
(* (* -1.5 (* a c)) (/ 1 b))

simplify1.1s

Counts
127 → 127
Iterations
IterNodes
done5000
1648
0181

prune435.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.9b

regimes1.3s

Accuracy

48.3% (7.2b remaining)

Error of 16.1b against oracle of 8.8b and baseline of 22.8b

bsearch11.0ms

Steps
ItersRangePoint
1
825.8857943049597
863.2800776740891
835.234365147242

simplify3.0ms

Iterations
IterNodes
done23
123
019

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.1s16398×pre80true
1.0s8398×body80nan
671.0ms4405×body160valid
310.0ms3595×body80valid