Details

Time bar (total: 11.3s)

sample156.0ms

Algorithm
intervals
Results
51.0ms549×pre80true
36.0ms140×body160valid
34.0ms293×body80nan
14.0ms116×body80valid

simplify99.0ms

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: 28.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3 a) c)
0.3b
(- (* b b) (* (* 3 a) c))
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
28.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite169.0ms

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:
14.0ms
(* (* 3 a) c)
12.0ms
(- (* b b) (* (* 3 a) c))
83.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
59.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series330.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* 3 a) c)
63.0ms
(- (* b b) (* (* 3 a) c))
140.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
102.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done2037
32037
21442
1422
0158

prune414.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.8b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune86.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.8b

localize35.0ms

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))

rewrite81.0ms

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)
24.0ms
(* -3/2 (/ (* a c) b))
37.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series96.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* a c) b)
38.0ms
(* -3/2 (/ (* a c) b))
36.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify771.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
22001
1382
0126

prune484.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 8.7b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* a c) b) a)
0.3b
(/ (* a c) b)

rewrite27.0ms

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 insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 71
Calls
2 calls:
11.0ms
(/ (/ (* a c) b) a)
14.0ms
(/ (* a c) b)

series37.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (/ (* a c) b) a)
27.0ms
(/ (* a c) b)

simplify999.0ms

Counts
77 → 77
Iterations
IterNodes
done2017
32017
2999
1301
0119

prune253.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 8.6b

regimes1.2s

Accuracy

47% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.8b

bsearch43.0ms

Steps
ItersRangePoint
2
2450.918963182764
2807.598712286329
2495.5039318207096

simplify11.0ms

Iterations
IterNodes
done43
143
029

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.2s4464×body160valid
1.2s8798×body80nan
944.0ms3536×body80valid
904.0ms16798×pre80true