Details

Time bar (total: 1.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms83×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173

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: 23.6b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
22.0b
(sqrt (+ (* x x) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
4.0ms
(+ (* x x) y)
4.0ms
(sqrt (+ (* x x) y))

series66.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (* x x) y)
46.0ms
(sqrt (+ (* x x) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0153160
1518146
21716138
35002136

prune69.0ms

Filtered
38 candidates to 32 candidates (84.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0b

Counts
39 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/2 (/ y x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 1/2 (/ y x) x)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma 1/2 (/ y x) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02144
14839
215639
358539
4278439
5500139

prune22.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done011
Total13316

Merged error: 0b

Counts
16 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (* 1/2 (/ y x)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
3.0ms
(+ x (* 1/2 (/ y x)))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(+ x (* 1/2 (/ y x)))

simplify116.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08884
132270
2125370
3455270
4500170

prune35.0ms

Filtered
19 candidates to 16 candidates (84.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done022
Total19322

Merged error: 0b

Counts
22 → 3

regimes121.0ms

Accuracy

96.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 22.1b

bsearch34.0ms

Steps
ItersRangePoint
3
1.451243281693924e+40
1.909479869777912e+40
1.8808400830226627e+40
8
-2.430432287642353e+155
-4.604161457041901e+152
-1.3316884611817179e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample400.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid
52.0ms2686×body80nan

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