Details

Time bar (total: 1.5s)

analyze63.0ms

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
50%50%0.1%5
50%50%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0msbody80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0137
1137

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 x y) (+.f64 y y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity_binary64
48×times-frac_binary64
39×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
28×distribute-lft-out_binary64
15×distribute-rgt-out_binary64
12×associate-/r*_binary64
count-2_binary64 distribute-lft1-in_binary64 distribute-rgt1-in_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 associate-/l/_binary64 associate-/r/_binary64 flip-+_binary64
add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
1 → 80
Calls
1 calls:
17.0ms
(/.f64 (+.f64 x y) (+.f64 y y))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/.f64 (+.f64 x y) (+.f64 y y))

simplify70.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05602942

prune47.0ms

Filtered
47 candidates to 83 candidates (-76.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh000
Picked011
Done000
Total82284

Merged error: 0.0b

Counts
84 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y))) (sqrt.f64 (+.f64 y y)))
0.2b
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
2010×times-frac_binary64
1874×*-un-lft-identity_binary64
1632×sqrt-prod_binary64
1090×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
664×distribute-lft-out_binary64
408×distribute-rgt-out_binary64
136×count-2_binary64 distribute-lft1-in_binary64 distribute-rgt1-in_binary64
70×associate-/l*_binary64
36×associate-/r/_binary64 sqrt-div_binary64
30×associate-/r*_binary64
19×flip3-+_binary64 flip-+_binary64
18×div-inv_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/l/_binary64
add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
Counts
2 → 1183
Calls
2 calls:
42.0ms
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y))) (sqrt.f64 (+.f64 y y)))
10.0ms
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y)))

series243.0ms

Counts
2 → 6
Calls
2 calls:
227.0ms
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y))) (sqrt.f64 (+.f64 y y)))
16.0ms
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y)))

simplify250.0ms

Algorithm
egg-herbie
Counts
1189 → 1189
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0498525973
1498525973

prune282.0ms

Filtered
292 candidates to 1189 candidates (-307.2%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New118811189
Fresh000
Picked101
Done101
Total119011191

Merged error: 0b

Counts
1191 → 1

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 0b

Counts
1 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms

sample292.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid
4.0ms219×body80invalid

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