Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
6.0ms483×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133
done1133

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
37.0ms
(* (+ x y) (+ x y))

series16.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (+ x y) (+ x y))

simplify33.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0189213
1901188
25001170
done5001170

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
associate-*r*
pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-*l*
add-log-exp
distribute-rgt-in distribute-lft-in frac-add
associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
+-commutative distribute-rgt-out sum-log
Counts
3 → 66
Calls
3 calls:
20.0ms
(* y (+ x y))
18.0ms
(+ (* x (+ x y)) (* y (+ x y)))
19.0ms
(* x (+ x y))

series81.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* y (+ x y))
27.0ms
(+ (* x (+ x y)) (* y (+ x y)))
27.0ms
(* x (+ x y))

simplify57.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0349386
11961333
25001331
done5001331

prune328.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2 (* x y))
0.0b
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube add-log-exp
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt associate-*l* pow-prod-down prod-exp sum-log cbrt-unprod
+-commutative associate-+r+ flip3-+ associate-*r* *-commutative flip-+ distribute-lft-out
Counts
2 → 32
Calls
2 calls:
16.0ms
(* 2 (* x y))
36.0ms
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

series49.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* 2 (* x y))
29.0ms
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

simplify124.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0181216
1783193
24129189
35001189
done5001189

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2 (* x y))
0.0b
(+ (pow x 2) (pow y 2))
0.0b
(+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-sqr-sqrt add-cube-cbrt sum-log
associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative unpow-prod-down flip3-+ flip-+ distribute-lft-out
associate-+l+ associate-*r* *-commutative
Counts
3 → 44
Calls
3 calls:
20.0ms
(* 2 (* x y))
16.0ms
(+ (pow x 2) (pow y 2))
91.0ms
(+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* 2 (* x y))
41.0ms
(+ (pow x 2) (pow y 2))
35.0ms
(+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))

simplify33.0ms

Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0221283
11012261
25001261
done5001261

prune95.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136
done136

end0.0ms

sample487.0ms

Algorithm
intervals
Results
190.0ms14301×body80valid