Details

Time bar (total: 1.3s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify6.0ms

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 (100.0%)
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
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:
5.0ms
(+ (+ x y) x)

series4.0ms

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

simplify94.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune23.0ms

Filtered
18 candidates to 10 candidates (44.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14418
Fresh000
Picked011
Done000
Total14519

Merged error: 0.0b

Counts
19 → 5

localize181.0ms

Local error

Found 4 expressions with local error:

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

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 y) x)) (cbrt (+ (+ x y) x)))
5.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))

series132.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
30.0ms
(cbrt (+ (+ x y) x))
33.0ms
(cbrt (+ (+ x y) x))
30.0ms
(cbrt (+ (+ x y) x))

simplify130.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
02961023
1943972
24426856
35001851

prune104.0ms

Filtered
117 candidates to 75 candidates (35.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh033
Picked011
Done011
Total1175122

Merged error: 0.0b

Counts
122 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x y) x)
0.0b
(+ (+ x y) x)
0.3b
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
38×sqrt-prod
30×distribute-lft-out
23×add-sqr-sqrt
18×pow1
16×swap-sqr
13×add-log-exp
12×sqrt-div
11×add-cube-cbrt
8×sqrt-pow1 flip3-+ pow1/2 associate-*r* associate-*l* flip-+
6×sum-log
5×add-exp-log pow-prod-up add-cbrt-cube
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+l+ associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 99
Calls
3 calls:
5.0ms
(+ (+ x y) x)
5.0ms
(+ (+ x y) x)
16.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (+ x y) x)
4.0ms
(+ (+ x y) x)
7.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0212509
1881462
25001448

prune63.0ms

Filtered
108 candidates to 44 candidates (59.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh022
Picked011
Done112
Total1085113

Merged error: 0.0b

Counts
113 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x y) x)
0.0b
(pow (+ (+ x y) x) 3)
36.8b
(cbrt (pow (+ (+ x y) x) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
16×cbrt-prod
15×distribute-lft-out
10×unpow-prod-down cube-prod
9×add-sqr-sqrt add-cube-cbrt
8×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-+ sum-log flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp associate-+l+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 71
Calls
3 calls:
5.0ms
(+ (+ x y) x)
6.0ms
(pow (+ (+ x y) x) 3)
6.0ms
(cbrt (pow (+ (+ x y) x) 3))

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (+ x y) x)
7.0ms
(pow (+ (+ x y) x) 3)
8.0ms
(cbrt (pow (+ (+ x y) x) 3))

simplify38.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0246366
11055351
25001341

prune62.0ms

Filtered
80 candidates to 38 candidates (52.5%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New79180
Fresh202
Picked101
Done202
Total84185

Merged error: 0b

Counts
85 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample318.0ms

Algorithm
intervals
Results
123.0ms8004×body80valid

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