Details

Time bar (total: 1.6s)

analyze47.0ms

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

sample16.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2122
3132
4132

prune3.0ms

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)

rewrite7.0ms

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)

simplify104.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune23.0ms

Filtered
10 candidates to 18 candidates (-80.0%)
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 y) x)) (cbrt (+ (+ x y) x)))
0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))

rewrite36.0ms

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:
17.0ms
(* (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))

series133.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
34.0ms
(cbrt (+ (+ x y) x))
30.0ms
(cbrt (+ (+ x y) x))
31.0ms
(cbrt (+ (+ x y) x))

simplify138.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
02961023
1943972
24426856
35001851

prune108.0ms

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: 0b

Counts
120 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-+ flip-+
12×frac-times
10×*-un-lft-identity
8×cbrt-prod
6×associate-*r/ associate-*l/
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (+ (+ x y) x))
13.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
13.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
15.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ (+ x y) x))
50.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
48.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
51.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

simplify68.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
02751090
16691032
222851011
35002992

prune102.0ms

Filtered
62 candidates to 78 candidates (-25.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done022
Total78583

Merged error: 0b

Counts
83 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

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

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-+l+ 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 y) x))
5.0ms
(+ (+ x y) x)
5.0ms
(+ (+ x y) x)
15.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ (+ x y) x))
4.0ms
(+ (+ x y) x)
6.0ms
(+ (+ x y) x)
8.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0253621
11103568
25002554

prune71.0ms

Filtered
59 candidates to 128 candidates (-116.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1271128
Fresh101
Picked011
Done033
Total1285133

Merged error: 0b

Counts
133 → 5

regimes123.0ms

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
062
162

end0.0ms

analyze47.0ms

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

sample246.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid
0.0ms6×body80invalid

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