Details

Time bar (total: 23.1s)

sample130.0ms

Algorithm
intervals
Results
28.0ms141×body160valid
19.0ms256×body80nan
19.0ms512×pre80true
9.0ms115×body80valid

simplify298.0ms

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
27.4b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
22.0ms
(* (* 3.0 a) c)
18.0ms
(- (* b b) (* (* 3.0 a) c))
164.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
81.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series493.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* 3.0 a) c)
78.0ms
(- (* b b) (* (* 3.0 a) c))
238.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
138.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.0s

Counts
91 → 91
Iterations
IterNodes
done5001
21451
1419
0159

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.5b

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

prune321.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 10.5b

localize57.0ms

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))

rewrite94.0ms

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
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
19.0ms
(/ (* a c) b)
30.0ms
(* -1.5 (/ (* a c) b))
38.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series133.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (* a c) b)
62.0ms
(* -1.5 (/ (* a c) b))
37.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify3.5s

Counts
90 → 90
Iterations
IterNodes
done5054
22242
1389
0126

prune1.3s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 10.4b

localize48.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*r* associate-*l*
insert-posit16 add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 70
Calls
3 calls:
25.0ms
(* (* 3.0 a) b)
42.0ms
(* -1.5 (* a c))
40.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series121.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* (* 3.0 a) b)
29.0ms
(* -1.5 (* a c))
44.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify3.9s

Counts
79 → 79
Iterations
IterNodes
done5006
22545
1359
0110

prune632.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 10.4b

regimes3.5s

Accuracy

44.9% (7.5b remaining)

Error of 16.6b against oracle of 9.1b and baseline of 22.8b

bsearch6.0ms

Steps
ItersRangePoint
0
5056.833706873871
5248.096163707824
5152.464935290847

simplify12.0ms

Iterations
IterNodes
done38
138
028

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.2s16742×pre80true
733.0ms4462×body160valid
664.0ms8742×body80nan
292.0ms3538×body80valid