Details

Time bar (total: 1.2s)

analyze51.0ms

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 (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)

simplify55.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05128116

prune25.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0.0b

Counts
19 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
14.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (+ x (+ x y)))
31.0ms
(cbrt (+ x (+ x y)))
30.0ms
(cbrt (+ x (+ x y)))
42.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))

simplify63.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
048471271
148471271

prune99.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done011
Total1174121

Merged error: 0.0b

Counts
121 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
43×sqrt-prod
33×distribute-lft-out
26×add-sqr-sqrt
20×pow1
16×swap-sqr
14×sqrt-div add-log-exp
13×add-cube-cbrt
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×associate-*r* associate-*l*
6×add-exp-log sum-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+r+ associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
5.0ms
(sqrt (+ x (+ x y)))
5.0ms
(+ x (+ x y))
5.0ms
(+ x (+ x y))
15.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (+ x (+ x y)))
4.0ms
(+ x (+ x y))
4.0ms
(+ x (+ x y))
7.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

simplify36.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050221024

prune82.0ms

Filtered
62 candidates to 128 candidates (-106.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh011
Picked101
Done022
Total1284132

Merged error: 0.0b

Counts
132 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
24×sqrt-prod
20×add-sqr-sqrt
16×sqrt-div
15×distribute-lft-out
10×pow1 add-cube-cbrt
9×flip3-+ flip-+ add-log-exp
8×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×frac-times sqrt-pow1 pow1/2 unswap-sqr
3×pow-prod-down sum-log
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative associate-+r+ sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
7.0ms
(sqrt (+ (+ x x) y))
5.0ms
(sqrt (+ x (+ x y)))
6.0ms
(+ x (+ x y))
17.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (+ (+ x x) y))
7.0ms
(sqrt (+ x (+ x y)))
4.0ms
(+ x (+ x y))
7.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049331030
149331030

prune84.0ms

Filtered
68 candidates to 103 candidates (-51.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done022
Total1034107

Merged error: 0.0b

Counts
107 → 4

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample247.0ms

Algorithm
intervals
Results
126.0ms8000×body80valid
0.0ms3×body80invalid

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