Details

Time bar (total: 27.1s)

sample147.0ms

Algorithm
intervals
Results
27.0ms148×body160valid
24.0ms267×body80nan
22.0ms523×pre80true
10.0ms108×body80valid

simplify385.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize133.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.5b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite450.0ms

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:
46.0ms
(* (* 3.0 a) c)
17.0ms
(- (* b b) (* (* 3.0 a) c))
252.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
129.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series474.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* 3.0 a) c)
84.0ms
(- (* b b) (* (* 3.0 a) c))
203.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
159.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.6s

Counts
91 → 91
Iterations
IterNodes
done5001
21451
1419
0159

prune1.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.1b

localize20.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune276.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.1b

localize70.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

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:
30.0ms
(/ (* a c) b)
42.0ms
(* -1.5 (/ (* a c) b))
61.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series127.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (* a c) b)
51.0ms
(* -1.5 (/ (* a c) b))
35.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify3.7s

Counts
90 → 90
Iterations
IterNodes
done5054
22242
1389
0126

prune1.3s

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.0b

localize73.0ms

Local error

Found 3 expressions with local error:

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
58×add-cbrt-cube add-exp-log
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
29×cbrt-undiv div-exp
22×associate-/r*
13×div-inv
11×prod-exp cbrt-unprod
6×associate-/r/
5×associate-/l*
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
3 → 138
Calls
3 calls:
43.0ms
(/ (* a c) b)
28.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
39.0ms
(/ (* 3.0 a) (/ (* a c) b))

series149.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (* a c) b)
51.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
55.0ms
(/ (* 3.0 a) (/ (* a c) b))

simplify5.4s

Counts
147 → 147
Iterations
IterNodes
done5071
23083
1658
0226

prune1.7s

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 9.0b

regimes3.4s

Accuracy

46% (7.4b remaining)

Error of 16.6b against oracle of 9.2b and baseline of 22.9b

bsearch20.0ms

Steps
ItersRangePoint
1
771.957524520205
811.761863321402
781.9086092205042

simplify13.0ms

Iterations
IterNodes
done35
135
027

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.3s8595×body80nan
884.0ms4471×body160valid
876.0ms16595×pre80true
333.0ms3529×body80valid