Details

Time bar (total: 10.6s)

sample27.0ms

Algorithm
intervals
Results
12.0ms364×body80valid

simplify98.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
079
1197
2417
3707
41007
51267
done1267

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
associate-*l*
expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
47.0ms
(* 2.0 (+ (* x x) (* x y)))
17.0ms
(+ (* x x) (* x y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* 2.0 (+ (* x x) (* x y)))
45.0ms
(+ (* x x) (* x y))

simplify1.0s

Counts
46 → 46
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
066523
1224426
21162362
done5001362

prune134.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity associate-*r*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt associate-*r/
distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 25
Calls
1 calls:
46.0ms
(* (* 2.0 x) (+ x y))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(* (* 2.0 x) (+ x y))

simplify1.2s

Counts
28 → 28
Iterations

Useful iterations: done (1.2s)

IterNodesCost
059286
1181265
21393229
done5002225

prune84.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l* fma-udef
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
9.0ms
(* 2.0 (fma x x (* x y)))
0.0ms
(fma x x (* x y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* 2.0 (fma x x (* x y)))
58.0ms
(fma x x (* x y))

simplify3.8s

Counts
38 → 38
Iterations

Useful iterations: 3 (906.0ms)

IterNodesCost
048388
1103373
2402294
33219292
done5000292

prune148.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* (sqrt (+ x y)) (* 2.0 x)) (sqrt (+ x y)))
0.1b
(* (sqrt (+ x y)) (* 2.0 x))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
14×sqrt-div
10×*-un-lft-identity associate-*l/
pow-prod-down prod-exp cbrt-unprod
associate-*r* associate-*l* sqrt-prod
flip3-+ flip-+
add-sqr-sqrt add-cube-cbrt
frac-times
expm1-log1p-u associate-*r/ *-commutative log1p-expm1-u distribute-lft-out add-log-exp
Counts
2 → 61
Calls
2 calls:
114.0ms
(* (* (sqrt (+ x y)) (* 2.0 x)) (sqrt (+ x y)))
54.0ms
(* (sqrt (+ x y)) (* 2.0 x))

series151.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (* (sqrt (+ x y)) (* 2.0 x)) (sqrt (+ x y)))
77.0ms
(* (sqrt (+ x y)) (* 2.0 x))

simplify1.6s

Counts
67 → 67
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01271078
1340951
21781762
done5000706

prune199.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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
068
188
done88

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s11191×body80valid