Details

Time bar (total: 12.7s)

sample69.0ms

Algorithm
intervals
Results
13.0ms290×body80nan
12.0ms133×body160valid
12.0ms546×pre80true
6.0ms123×body80valid

simplify121.0ms

Counts
1 → 1
Iterations
IterNodes
done94
794
693
591
483
368
239
121
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
27.0b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite205.0ms

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:
7.0ms
(- (* b b) (* (* 3.0 a) c))
13.0ms
(* (* 3.0 a) c)
109.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
72.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series422.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(* (* 3.0 a) c)
184.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
147.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.9s

Counts
87 → 87
Iterations
IterNodes
done5001
21454
1419
0155

prune625.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.3b

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

prune166.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite80.0ms

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:
15.0ms
(/ (* a c) b)
33.0ms
(* -1.5 (/ (* a c) b))
26.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series116.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (* a c) b)
42.0ms
(* -1.5 (/ (* a c) b))
41.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts
87 → 87
Iterations
IterNodes
done5010
22219
1371
0123

prune651.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.2b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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/ div-inv add-log-exp
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l* associate-/l/
Counts
2 → 67
Calls
2 calls:
40.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))
34.0ms
(* (* a -1.5) (/ c b))

series85.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))
56.0ms
(* (* a -1.5) (/ c b))

simplify1.4s

Counts
73 → 73
Iterations
IterNodes
done5000
22068
1427
0129

prune235.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.2b

regimes1.6s

Accuracy

46.2% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.6b

bsearch27.0ms

Steps
ItersRangePoint
2
5947.889350432351
6490.535287589524
6015.720092576998

simplify5.0ms

Iterations
IterNodes
done31
131
024

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.1s8600×body80nan
690.0ms4471×body160valid
648.0ms16600×pre80true
283.0ms3529×body80valid