Details

Time bar (total: 7.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms473×body80valid

simplify124.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2267
3507
4877
51137
61317
71447
81467
done1467

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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 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:
18.0ms
(* (+ x y) (+ x y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (+ x y) (+ x y))

simplify3.0s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
064532
1190465
2780416
34151380
done5000380

prune86.0ms

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) (pow x 2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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) (pow x 2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma y (fma 2 x y) (pow x 2))

simplify982.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
021165
141165
290135
3270135
41198135
done5000135

prune37.0ms

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)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt flip3-+ associate-*r* associate-*l* add-cbrt-cube flip-+
associate-*r/ associate-*l/
add-log-exp
frac-add
expm1-log1p-u log1p-expm1-u
distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
+-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)

series90.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* x (+ x y)) (* (+ x y) y))
35.0ms
(* x (+ x y))
30.0ms
(* (+ x y) y)

simplify848.0ms

Counts
77 → 77
Iterations

Useful iterations: done (845.0ms)

IterNodesCost
0116900
1343766
21313690
done5000652

prune158.0ms

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
associate-*r*
expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
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)

series65.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(fma x (+ x y) (* (+ x y) y))
30.0ms
(* (+ x y) y)

simplify1.8s

Counts
39 → 39
Iterations

Useful iterations: done (1.8s)

IterNodesCost
060372
1130331
2436276
31615266
done5000260

prune90.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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

sample422.0ms

Algorithm
intervals
Results
209.0ms14258×body80valid