Details

Time bar (total: 1.0s)

sample10.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2122
3132
4132

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
6.0ms
(+ (+ x y) x)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (+ x y) x)

simplify100.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune19.0ms

Filtered
18 candidates to 10 candidates (55.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (+ x y) 3)
1.6b
(+ (* y (+ x y)) (* x x))
2.6b
(+ (pow (+ x y) 3) (pow x 3))
43.0b
(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
67×distribute-lft-out
44×unpow-prod-down cube-prod
39×times-frac
25×add-sqr-sqrt add-cube-cbrt
13×associate-/l*
add-log-exp
add-exp-log add-cbrt-cube
pow1 flip3-+ sum-cubes flip-+
pow-unpow associate-/r*
+-commutative cube-div associate-+l+ sum-log associate-/r/ associate-/l/
cbrt-undiv distribute-rgt-in cube-mult pow-to-exp pow-pow frac-2neg distribute-lft-in unpow3 div-exp pow-exp clear-num div-inv rem-cube-cbrt sqr-pow
Counts
4 → 132
Calls
4 calls:
4.0ms
(pow (+ x y) 3)
6.0ms
(+ (* y (+ x y)) (* x x))
14.0ms
(+ (pow (+ x y) 3) (pow x 3))
23.0ms
(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (+ x y) 3)
19.0ms
(+ (* y (+ x y)) (* x x))
58.0ms
(+ (pow (+ x y) 3) (pow x 3))
121.0ms
(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)))

simplify78.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
04231416
120951342
250011334

prune220.0ms

Filtered
144 candidates to 75 candidates (52.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1431144
Fresh000
Picked101
Done101
Total1451146

Merged error: 0b

Counts
146 → 1

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune1.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 0b

Counts
1 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072
172

end0.0ms

sample237.0ms

Algorithm
intervals
Results
111.0ms8003×body80valid