Details

Time bar (total: 1.4s)

analyze89.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0218
1218

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

30.0b
(sqrt (+ (* x x) (* y y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
4.0ms
(sqrt (+ (* x x) (* y y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(sqrt (+ (* x x) (* y y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05000164

prune45.0ms

Filtered
15 candidates to 18 candidates (-20.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New13518
Fresh000
Picked011
Done000
Total13619

Merged error: 7.5b

Counts
19 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ (* x x) (* y y))))
0.3b
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
31.0b
(cbrt (+ (* x x) (* y y)))
31.0b
(cbrt (+ (* x x) (* y y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
associate-*r*
cbrt-div
pow1
add-exp-log add-cbrt-cube
flip3-+ sqrt-div flip-+ add-log-exp
pow1/3 associate-*l* unswap-sqr
rem-sqrt-square sqrt-pow1 associate-*r/
pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
6.0ms
(sqrt (cbrt (+ (* x x) (* y y))))
8.0ms
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
3.0ms
(cbrt (+ (* x x) (* y y)))
4.0ms
(cbrt (+ (* x x) (* y y)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(sqrt (cbrt (+ (* x x) (* y y))))
32.0ms
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
20.0ms
(cbrt (+ (* x x) (* y y)))
20.0ms
(cbrt (+ (* x x) (* y y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
048831267
148831267

prune114.0ms

Filtered
65 candidates to 86 candidates (-32.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done011
Total86692

Merged error: 7.5b

Counts
92 → 6

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune9.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done022
Total066

Merged error: 7.5b

Counts
6 → 6

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done033
Total066

Merged error: 7.5b

Counts
6 → 6

regimes446.0ms

Accuracy

58.2% (10.0b remaining)

Error of 17.3b against oracle of 7.3b and baseline of 31.2b

bsearch38.0ms

Steps
ItersRangePoint
9
2.855892462108536e+108
2.270791356181485e+115
1.6129701241769684e+115
10
3.8893176596517273e-199
2.1378363277728498e-188
4.398076988434302e-199
1
-7.824644072711383e-278
-7.266121490745201e-278
-7.405752136236747e-278
6
-8.241124263603572e+121
-1.957314588628722e+121
-7.902254516768932e+121

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07636
17636

end0.0ms

sample381.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid

Profiling

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