Details

Time bar (total: 12.5s)

sample74.0ms

Algorithm
intervals
Results
14.0ms526×pre80true
13.0ms104×body320valid
11.0ms270×body80nan
8.0ms99×body160valid
3.0ms19×body640valid
1.0ms34×body80valid

simplify125.0ms

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: 51.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
26.6b
(- (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:
11.0ms
(- (* b b) (* (* 3.0 a) c))
77.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
27.0ms
(* (* 3.0 a) c)
48.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series401.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* b b) (* (* 3.0 a) c))
177.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
32.0ms
(* (* 3.0 a) c)
126.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
21450
1417
0155

prune703.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.9b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune121.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.9b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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:
8.0ms
(/ (* a c) b)
25.0ms
(* -1.5 (/ (* a c) b))
36.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series98.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
31.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.4s

Counts
87 → 87
Iterations
IterNodes
done5010
22219
1371
0123

prune666.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 2.9b

localize25.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* a c) b) a)
0.3b
(/ (* a c) b)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
19.0ms
(/ (/ (* a c) b) a)
15.0ms
(/ (* a c) b)

series57.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (/ (* a c) b) a)
45.0ms
(/ (* a c) b)

simplify1.4s

Counts
75 → 75
Iterations
IterNodes
done5002
21023
1299
0117

prune442.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 2.8b

regimes1.0s

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.1s7976×body80nan
877.0ms3556×body320valid
639.0ms2995×body160valid
543.0ms15976×pre80true
131.0ms532×body640valid
58.0ms917×body80valid