Details

Time bar (total: 12.4s)

sample46.0ms

Algorithm
intervals
Results
33.0ms462×body80valid

simplify33.0ms

Counts
1 → 1
Iterations
IterNodes
done46
346
235
117
09

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
16.0ms
(* x (+ x (* y 2.0)))
12.0ms
(+ (* y y) (* x (+ x (* y 2.0))))

series88.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (+ x (* y 2.0)))
36.0ms
(+ (* y y) (* x (+ x (* y 2.0))))

simplify1.1s

Counts
43 → 43
Iterations
IterNodes
done5007
21028
1239
073

prune162.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
9.0ms
(+ (* y y) (* x x))
39.0ms
(+ (+ (* y y) (* x x)) (* (* y 2.0) x))

series61.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* y y) (* x x))
27.0ms
(+ (+ (* y y) (* x x)) (* (* y 2.0) x))

simplify2.7s

Counts
32 → 32
Iterations
IterNodes
done5002
34614
2831
1210
060

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube 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 cbrt-unprod
Counts
4 → 91
Calls
4 calls:
49.0ms
(* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))))
5.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
5.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
5.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

series688.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))))
164.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
168.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
165.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

simplify2.2s

Counts
103 → 103
Iterations
IterNodes
done5001
33502
2901
1289
0120

prune532.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
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 → 60
Calls
4 calls:
9.0ms
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
9.0ms
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
5.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
6.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

series490.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
75.0ms
(sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
149.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
178.0ms
(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

simplify1.6s

Counts
72 → 72
Iterations
IterNodes
done5000
31813
2493
1181
082

prune415.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes70.0ms

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

sample1.8s

Algorithm
intervals
Results
1.5s14116×body80valid