Details

Time bar (total: 1.1s)

analyze46.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1125

prune9.0ms

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
*-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)

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

prune17.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (+ x y))
1.4b
(+ (pow (+ x y) 3) (pow x 3))
2.6b
(+ (* x x) (* y (+ x y)))
42.5b
(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x x) (* y (+ x y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
66×distribute-lft-out
40×unpow-prod-down cube-prod
39×times-frac
26×add-sqr-sqrt
24×add-cube-cbrt
13×associate-/l*
add-exp-log add-cbrt-cube add-log-exp
pow1
flip3-+ sum-cubes flip-+
associate-*r*
associate-*l* associate-/r*
+-commutative distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ sum-log associate-/r/ associate-/l/
cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 128
Calls
4 calls:
5.0ms
(* y (+ x y))
15.0ms
(+ (pow (+ x y) 3) (pow x 3))
4.0ms
(+ (* x x) (* y (+ x y)))
19.0ms
(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x x) (* y (+ x y))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* y (+ x y))
13.0ms
(+ (pow (+ x y) 3) (pow x 3))
5.0ms
(+ (* x x) (* y (+ x y)))
23.0ms
(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x x) (* y (+ x y))))

simplify69.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049242631
149242631

prune139.0ms

Filtered
73 candidates to 140 candidates (-91.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1391140
Fresh000
Picked011
Done011
Total1393142

Merged error: 0.0b

Counts
142 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

32.3b
(/ (+ (* x x) (* y (+ x y))) (* (cbrt (+ (* x x) (* y (+ x y)))) (cbrt (+ (* x x) (* y (+ x y))))))
32.4b
(cbrt (+ (* x x) (* y (+ x y))))
32.4b
(cbrt (+ (* x x) (* y (+ x y))))
32.4b
(cbrt (+ (* x x) (* y (+ x y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/r/
pow1/3 add-cbrt-cube
pow1
frac-times add-log-exp
times-frac associate-/l*
cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ pow-div
frac-2neg prod-exp clear-num associate-/r* pow-sqr pow-prod-up cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
14.0ms
(/ (+ (* x x) (* y (+ x y))) (* (cbrt (+ (* x x) (* y (+ x y)))) (cbrt (+ (* x x) (* y (+ x y))))))
4.0ms
(cbrt (+ (* x x) (* y (+ x y))))
4.0ms
(cbrt (+ (* x x) (* y (+ x y))))
4.0ms
(cbrt (+ (* x x) (* y (+ x y))))

series130.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (+ (* x x) (* y (+ x y))) (* (cbrt (+ (* x x) (* y (+ x y)))) (cbrt (+ (* x x) (* y (+ x y))))))
31.0ms
(cbrt (+ (* x x) (* y (+ x y))))
31.0ms
(cbrt (+ (* x x) (* y (+ x y))))
34.0ms
(cbrt (+ (* x x) (* y (+ x y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
052271458

prune89.0ms

Filtered
70 candidates to 84 candidates (-20.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done022
Total84387

Merged error: 0.0b

Counts
87 → 3

regimes106.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample243.0ms

Algorithm
intervals
Results
125.0ms8000×body80valid

Profiling

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