Details

Time bar (total: 1.3s)

sample13.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0125
1125

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

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
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×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)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ (+ x y) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05128116

prune22.0ms

Filtered
11 candidates to 18 candidates (-63.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (+ x (+ x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
14.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
32.0ms
(cbrt (+ x (+ x y)))
35.0ms
(cbrt (+ x (+ x y)))
32.0ms
(cbrt (+ x (+ x y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
048471271
148471271

prune107.0ms

Filtered
75 candidates to 117 candidates (-56.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1152117
Fresh011
Picked011
Done011
Total1155120

Merged error: 0.0b

Counts
120 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (cbrt (+ x (+ x y))))
0.6b
(cbrt (cbrt (+ x (+ x y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
30×*-un-lft-identity
12×cbrt-div distribute-lft-out
10×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
6.0ms
(cbrt (cbrt (+ x (+ x y))))
6.0ms
(cbrt (cbrt (+ x (+ x y))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (+ x (+ x y)))
32.0ms
(cbrt (+ x (+ x y)))
42.0ms
(cbrt (cbrt (+ x (+ x y))))
40.0ms
(cbrt (cbrt (+ x (+ x y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04874826
14874826

prune105.0ms

Filtered
60 candidates to 78 candidates (-30.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done022
Total78583

Merged error: 0.0b

Counts
83 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (+ x (+ x y)))
0.0b
(+ x (+ x y))
23.7b
(/ (* y (+ x (+ x y))) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 associate-*r*
4×associate-*r/
3×flip3-+ times-frac associate-*l* associate-/r* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in associate-+r+ frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
9.0ms
(* y (+ x (+ x y)))
5.0ms
(+ x (+ x y))
8.0ms
(/ (* y (+ x (+ x y))) y)

series14.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* y (+ x (+ x y)))
4.0ms
(+ x (+ x y))
5.0ms
(/ (* y (+ x (+ x y))) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05023528

prune60.0ms

Filtered
50 candidates to 71 candidates (-42.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New70171
Fresh101
Picked101
Done303
Total75176

Merged error: 0b

Counts
76 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
155

end0.0ms

sample316.0ms

Algorithm
intervals
Results
117.0ms8004×body80valid

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