Details

Time bar (total: 10.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms452×body80valid

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2247
3407
4597
5757
6827
7847
done847

prune2.0ms

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))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×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:
16.0ms
(* (+ x y) (+ x y))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ x y) (+ x y))

simplify2.9s

Counts
43 → 43
Iterations

Useful iterations: 3 (853.0ms)

IterNodesCost
062516
1185453
2764407
34582361
done5000361

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-out sum-log
Counts
3 → 66
Calls
3 calls:
9.0ms
(* x (+ x y))
9.0ms
(* y (+ x y))
8.0ms
(+ (* x (+ x y)) (* y (+ x y)))

series77.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* x (+ x y))
26.0ms
(* y (+ x y))
22.0ms
(+ (* x (+ x y)) (* y (+ x y)))

simplify753.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
0111883
1343750
21474680
done5000680

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-log-exp
7×add-sqr-sqrt
6×distribute-lft-out
5×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
4×sum-log
3×associate-+l+ flip3-+ associate-*l* flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 52
Calls
3 calls:
16.0ms
(+ (* x (+ (+ x y) y)) (* y y))
13.0ms
(+ (+ x y) y)
36.0ms
(* x (+ (+ x y) y))

series84.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (* x (+ (+ x y) y)) (* y y))
23.0ms
(+ (+ x y) y)
36.0ms
(* x (+ (+ x y) y))

simplify2.8s

Counts
61 → 61
Iterations

Useful iterations: 3 (881.0ms)

IterNodesCost
087674
1245637
2894519
34789493
done5000493

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ (* x (+ x (* 2 y))) (* y y))
7.0ms
(* x (+ x (* 2 y)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* x (+ x (* 2 y))) (* y y))
40.0ms
(* x (+ x (* 2 y)))

simplify2.4s

Counts
41 → 41
Iterations

Useful iterations: 3 (643.0ms)

IterNodesCost
072527
1223495
2846445
34026437
done5000437

prune65.0ms

Pruning

2 alts after pruning (0 fresh and 2 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
0611
11011
done1011

end0.0ms

sample423.0ms

Algorithm
intervals
Results
211.0ms14328×body80valid