Details

Time bar (total: 20.1s)

sample45.0ms

Algorithm
intervals
Results
17.0ms451×body80valid

simplify127.0ms

Counts
1 → 1
Iterations
IterNodes
done46
346
235
117
09

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
27.0ms
(* x (+ x (* y 2.0)))
12.0ms
(+ (* y y) (* x (+ x (* y 2.0))))

series136.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* x (+ x (* y 2.0)))
49.0ms
(+ (* y y) (* x (+ x (* y 2.0))))

simplify2.5s

Counts
43 → 43
Iterations
IterNodes
done5002
21010
1239
073

prune460.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×add-sqr-sqrt pow1 +-commutative associate-+l+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 14
Calls
1 calls:
84.0ms
(+ (+ (* y y) (* x x)) (* (* y 2.0) x))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(+ (+ (* y y) (* x x)) (* (* y 2.0) x))

simplify7.8s

Counts
17 → 17
Iterations
IterNodes
done5004
34268
2593
1138
043

prune116.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (* x (+ x (* 2.0 y))))
0.1b
(* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y)))))
0.2b
(* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))))
33.5b
(cbrt (* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y))))))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
61×flip3-+ flip-+
60×frac-times
30×pow1 associate-*l/
26×cbrt-div
18×associate-*r/
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow-plus pow-prod-up
6×associate-*r* add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×pow2 distribute-rgt-in distribute-lft-in swap-sqr pow-sqr
2×associate-+r+ pow3 *-commutative unswap-sqr
1×cbrt-prod +-commutative sum-log pow1/3 rem-cbrt-cube
Counts
4 → 144
Calls
4 calls:
11.0ms
(+ (* y y) (* x (+ x (* 2.0 y))))
107.0ms
(* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y)))))
53.0ms
(* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))))
80.0ms
(cbrt (* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y))))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* y y) (* x (+ x (* 2.0 y))))
212.0ms
(* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y)))))
130.0ms
(* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))))
46.0ms
(cbrt (* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y))))))

simplify5.2s

Counts
156 → 156
Iterations
IterNodes
done5004
23144
1742
0213

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s14275×body80valid