Details

Time bar (total: 8.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms473×body80valid

simplify123.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2267
3507
4877
51137
61317
71447
81467
done1467

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))

rewrite18.0ms

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 expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

series15.0ms

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

simplify2.9s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
064532
1190465
2780416
34155380
done5000380

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma y (fma 2 x y) (* x x))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(fma y (fma 2 x y) (* x x))

simplify915.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
022165
141165
290135
3270135
41198135
done5000135

prune36.0ms

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
7×pow1 add-exp-log add-cube-cbrt flip3-+ associate-*r* associate-*l* add-cbrt-cube flip-+
6×associate-*r/ associate-*l/
5×add-log-exp
4×frac-add
3×expm1-log1p-u log1p-expm1-u
2×distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative fma-def sum-log
Counts
3 → 68
Calls
3 calls:
6.0ms
(+ (* x (+ x y)) (* (+ x y) y))
10.0ms
(* x (+ x y))
10.0ms
(* (+ x y) y)

series83.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (* x (+ x y)) (* (+ x y) y))
28.0ms
(* x (+ x y))
31.0ms
(* (+ x y) y)

simplify812.0ms

Counts
77 → 77
Iterations

Useful iterations: done (810.0ms)

IterNodesCost
0116900
1343766
21313690
done5001652

prune145.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
3×associate-*r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma x (+ x y) (* (+ x y) y))
10.0ms
(* (+ x y) y)

series58.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(fma x (+ x y) (* (+ x y) y))
30.0ms
(* (+ x y) y)

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: done (2.5s)

IterNodesCost
060372
1130331
2436276
31614266
done5000260

prune83.0ms

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
069
done69

end0.0ms

sample404.0ms

Algorithm
intervals
Results
199.0ms14258×body80valid