Details

Time bar (total: 31.6s)

sample149.0ms

Algorithm
intervals
Results
33.0ms541×pre80true
33.0ms285×body80nan
31.0ms128×body160valid
24.0ms128×body80valid

simplify112.0ms

Counts
1 → 1
Iterations
IterNodes
893
793
692
590
482
366
240
121
012

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3 a) c)
0.3b
(- (* b b) (* (* 3 a) c))
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
27.3b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite176.0ms

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:
22.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))
80.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
64.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series329.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3 a) c)
52.0ms
(- (* b b) (* (* 3 a) c))
137.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
114.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.8s

Counts
91 → 91
Iterations
IterNodes
35964
21476
1420
0158

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.9b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune124.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.9b

localize18.0ms

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))

rewrite54.0ms

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))
28.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series101.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (* a c) b)
46.0ms
(* -3/2 (/ (* a c) b))
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.8s

Counts
90 → 90
Iterations
IterNodes
315215
21842
1363
0126

prune847.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
22×add-exp-log
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×div-exp
10×add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-inv
3×rec-exp 1-exp prod-exp associate-/l*
2×pow1
1×clear-num frac-2neg associate-/r/ cbrt-unprod insert-posit16 pow-flip inv-pow add-log-exp
Counts
1 → 57
Calls
1 calls:
20.0ms
(/ 1 (/ b (* -1/2 c)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ 1 (/ b (* -1/2 c)))

simplify3.6s

Counts
60 → 60
Iterations
IterNodes
33381
2821
1266
0114

prune453.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 8.9b

regimes1.1s

Accuracy

47.3% (7.0b remaining)

Error of 16.2b against oracle of 9.2b and baseline of 22.5b

bsearch3.0ms

Steps
ItersRangePoint
0
1072.0421178334989
1095.414553911296
1083.7283358723973

simplify5.0ms

Iterations
IterNodes
235
135
025

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.7s4580×body160valid
1.1s16452×pre80true
972.0ms8452×body80nan
480.0ms3419×body80valid
1.0ms1×body320valid