Details

Time bar (total: 8.2s)

sample43.0ms

Algorithm
intervals
Results
26.0ms449×body80valid

simplify21.0ms

Counts
1 → 1
Iterations
IterNodes
done25
325
224
115
08

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b
(+ (* x 2.0) (* x x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
associate-+l+ distribute-lft-out
Counts
2 → 27
Calls
2 calls:
26.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
8.0ms
(+ (* x 2.0) (* x x))

series144.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
93.0ms
(+ (* x 2.0) (* x x))

simplify1.1s

Counts
33 → 33
Iterations
IterNodes
done5001
2935
1188
061

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b
(+ (* x 2.0) (* x x))
0.0b
(+ (* x 2.0) (* x x))
0.1b
(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×pow1
18×sqrt-prod
13×add-log-exp
12×*-un-lft-identity sqrt-div add-cube-cbrt
flip3-+ flip-+
sqrt-pow1 pow1/2 swap-sqr
add-cbrt-cube associate-*r* associate-*l* add-exp-log
sum-log pow-prod-up
frac-times insert-posit16 unswap-sqr
+-commutative pow-prod-down pow-sqr
associate-*l/ associate-*r/ distribute-lft-out
pow2 associate-+l+ rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
37.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
12.0ms
(+ (* x 2.0) (* x x))
11.0ms
(+ (* x 2.0) (* x x))
159.0ms
(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
90.0ms
(+ (* x 2.0) (* x x))
85.0ms
(+ (* x 2.0) (* x x))
50.0ms
(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify1.1s

Counts
110 → 110
Iterations
IterNodes
done5001
21010
1309
0121

prune392.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.1b
(* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x))))
0.2b
(* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x))))
39.9b
(cbrt (* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x)))))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
61×flip3-+ flip-+
60×frac-times
32×pow1
30×associate-*l/
26×cbrt-div
20×associate-*r/
16×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube add-exp-log
11×add-cube-cbrt
10×associate-*r*
pow-plus associate-*l* pow-prod-up
pow-prod-down prod-exp cbrt-unprod
insert-posit16 add-log-exp
pow2 distribute-rgt-in distribute-lft-in swap-sqr pow-sqr *-commutative unswap-sqr
pow3
cbrt-prod pow1/3 rem-cbrt-cube distribute-lft-out
Counts
4 → 154
Calls
4 calls:
22.0ms
(* x (+ 2.0 x))
112.0ms
(* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x))))
52.0ms
(* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x))))
76.0ms
(cbrt (* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x)))))

series268.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* x (+ 2.0 x))
108.0ms
(* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x))))
63.0ms
(* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x))))
48.0ms
(cbrt (* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x)))))

simplify2.2s

Counts
166 → 166
Iterations
IterNodes
done5005
23751
1805
0234

prune469.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s14080×body80valid