Details

Time bar (total: 1.3s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
174

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
27.5b
(sqrt (+ (* x x) (* y y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
4.0ms
(+ (* x x) (* y y))
3.0ms
(sqrt (+ (* x x) (* y y)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* x x) (* y y))
38.0ms
(sqrt (+ (* x x) (* y y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0125177
1530163
21540163
35001162

prune59.0ms

Filtered
32 candidates to 25 candidates (78.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 6.9b

Counts
33 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.5b
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
27.5b
(sqrt (+ (* x x) (* y y)))
27.5b
(sqrt (+ (* x x) (* y y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
50×add-sqr-sqrt
34×sqrt-pow1
29×pow1
28×sqrt-div
18×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-down pow-sqr
4×frac-times
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
4.0ms
(+ (* x x) (* y y))
14.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
3.0ms
(sqrt (+ (* x x) (* y y)))
4.0ms
(sqrt (+ (* x x) (* y y)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x x) (* y y))
39.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
34.0ms
(sqrt (+ (* x x) (* y y)))
38.0ms
(sqrt (+ (* x x) (* y y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0239967
11057893
25001872

prune193.0ms

Filtered
136 candidates to 70 candidates (51.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh033
Picked011
Done011
Total1365141

Merged error: 6.9b

Counts
141 → 5

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 (2.0ms)

IterNodesCost
000

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 6.9b

Counts
5 → 5

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 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 6.9b

Counts
5 → 5

regimes220.0ms

Accuracy

54.7% (10.8b remaining)

Error of 18.7b against oracle of 7.9b and baseline of 31.8b

bsearch46.0ms

Steps
ItersRangePoint
9
1.4543315347187934e-08
0.004314681149180372
0.00424543452278151
7
-3.903596515666165e+90
-1.8762369200254476e+89
-2.737025716776353e+90

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175
1175

end0.0ms

sample380.0ms

Algorithm
intervals
Results
252.0ms8000×body80valid

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