Details

Time bar (total: 13.0s)

sample142.0ms

Algorithm
intervals
Results
38.0ms157×body160valid
32.0ms294×body80nan
32.0ms550×pre80true
13.0ms99×body80valid

simplify155.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
29.1b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite217.0ms

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))
30.0ms
(* (* 3 a) c)
101.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
68.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series362.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)
175.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
104.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.5s

Counts
91 → 91
Iterations
IterNodes
done5000
21459
1424
0158

prune505.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.9b

localize14.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune62.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.9b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

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:
18.0ms
(/ (* a c) b)
27.0ms
(* -3/2 (/ (* a c) b))
44.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series104.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* a c) b)
47.0ms
(* -3/2 (/ (* a c) b))
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.3s

Counts
90 → 90
Iterations
IterNodes
done5010
22261
1382
0126

prune427.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 9.7b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
55×add-cbrt-cube add-exp-log
23×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
13×associate-*r*
10×times-frac
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1
3×pow-prod-down
2×associate-*r/ insert-posit16 div-inv add-log-exp
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l* associate-/l/
Counts
2 → 69
Calls
2 calls:
22.0ms
(* (* -3/2 a) (/ c b))
25.0ms
(/ (* (* -3/2 a) (/ c b)) (* 3 a))

series71.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (* -3/2 a) (/ c b))
35.0ms
(/ (* (* -3/2 a) (/ c b)) (* 3 a))

simplify1.3s

Counts
75 → 75
Iterations
IterNodes
done5051
22279
1417
0131

prune235.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 9.7b

regimes1.1s

Accuracy

45.9% (7.3b remaining)

Error of 16.4b against oracle of 9.1b and baseline of 22.6b

bsearch46.0ms

Steps
ItersRangePoint
3
172.2552017259038
209.02696225458826
174.55343675894656

simplify9.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.4s8640×body80nan
1.4s16640×pre80true
1.2s4501×body160valid
521.0ms3499×body80valid