Details

Time bar (total: 15.2s)

sample68.0ms

Algorithm
intervals
Results
51.0ms462×body80valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done46
346
235
117
09

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
8×associate-*l*
6×add-sqr-sqrt distribute-lft-out
5×+-commutative associate-*r*
4×distribute-rgt-in pow1 associate-+r+ distribute-lft-in add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
2×flip3-+ associate-*r/ flip-+ insert-posit16
1×sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
80.0ms
(* x (+ x (* y 2.0)))
141.0ms
(+ (* y y) (* x (+ x (* y 2.0))))

series89.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (+ x (* y 2.0)))
36.0ms
(+ (* y y) (* x (+ x (* y 2.0))))

simplify1.3s

Counts
53 → 53
Iterations
IterNodes
done5002
2988
1242
075

prune170.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite484.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
28×distribute-lft-out
22×associate-*l*
9×add-log-exp
5×associate-*r* *-commutative
4×add-sqr-sqrt sum-log add-cube-cbrt
3×+-commutative distribute-rgt-out
2×pow1 associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16
Counts
2 → 50
Calls
2 calls:
147.0ms
(+ (* x (* 2.0 y)) (* x x))
334.0ms
(+ (* y y) (+ (* x (* 2.0 y)) (* x x)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* x (* 2.0 y)) (* x x))
46.0ms
(+ (* y y) (+ (* x (* 2.0 y)) (* x x)))

simplify1.2s

Counts
56 → 56
Iterations
IterNodes
done5009
21009
1251
072

prune147.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))))
5.1b
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
5.1b
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
5.1b
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity
93×cbrt-prod
70×associate-*l*
60×distribute-lft-out
30×swap-sqr
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×associate-*r*
9×flip3-+ pow1/3 flip-+
8×add-cbrt-cube
6×add-exp-log
4×frac-times cbrt-unprod insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 138
Calls
4 calls:
1.2s
(* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))))
141.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
125.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
186.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

series739.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))))
195.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
158.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
187.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

simplify2.6s

Counts
150 → 150
Iterations
IterNodes
done5006
33828
2920
1307
0123

prune506.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

4.5b
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
4.5b
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
5.1b
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
5.1b
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

rewrite930.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
16×associate-*l* distribute-lft-out
14×cbrt-prod sqrt-prod
10×add-sqr-sqrt
8×add-cube-cbrt
6×pow1
4×cbrt-div flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 76
Calls
4 calls:
312.0ms
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
307.0ms
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
165.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
143.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
97.0ms
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
197.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
179.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

simplify1.8s

Counts
88 → 88
Iterations
IterNodes
done5000
31813
2493
1181
082

prune488.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.6s14116×body80valid