Details

Time bar (total: 1.6s)

analyze86.0ms

Algorithm
search

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
174

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

32.7b
(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:
3.0ms
(sqrt (+ (* x x) (* y y)))

series6.0ms

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

simplify131.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 5 (128.0ms)

IterNodesCost
089100
121597
250397
3126597
4422797
5500296

prune30.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14418
Fresh000
Picked011
Done000
Total14519

Merged error: 8.7b

Counts
19 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (* x x) (* y y))))
0.5b
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
32.7b
(sqrt (+ (* x x) (* y y)))
32.7b
(sqrt (+ (* x x) (* y y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod
54×add-sqr-sqrt
38×sqrt-pow1
32×sqrt-div
31×pow1
20×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
add-exp-log add-cbrt-cube
pow-prod-down pow-sqr
frac-times rem-sqrt-square add-log-exp
associate-*r/ associate-*l/
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
4.0ms
(sqrt (sqrt (+ (* x x) (* y y))))
16.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
3.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (sqrt (+ (* x x) (* y y))))
6.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
6.0ms
(sqrt (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
02951073
112391003
25001978

prune93.0ms

Filtered
77 candidates to 146 candidates (-89.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh033
Picked011
Done011
Total1465151

Merged error: 8.7b

Counts
151 → 5

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 8.7b

Counts
5 → 5

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 8.7b

Counts
5 → 5

regimes432.0ms

Accuracy

53.2% (11.1b remaining)

Error of 19.0b against oracle of 7.8b and baseline of 31.7b

bsearch243.0ms

Steps
ItersRangePoint
9
3.75246290712813e+91
2.0229279439254779e+99
1.9954821974516343e+99
7
540.2648351082692
9178.04297399641
548.3951587440757
9
1.3614055091594709e-48
2.631142458865925e-42
2.601933874540376e-42
9
1.063771535257688e-257
1.4448867505505212e-251
1.8543864403264038e-255
8
-1.383637140462626e-297
-1.8835480775685228e-301
-1.1454886226922574e-300
8
-6.221636946703943e+115
-2.259484710244798e+111
-2.161314083250382e+112

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

analyze86.0ms

Algorithm
search

sample347.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid

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