Details

Time bar (total: 1.3s)

sample20.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms94×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.6b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

18.2b
(sqrt (+ (* x x) y))

rewrite9.0ms

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:
8.0ms
(sqrt (+ (* x x) y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(sqrt (+ (* x x) y))

simplify171.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
011494
134492
2103790
3476089
4500189

prune25.0ms

Filtered
18 candidates to 15 candidates (16.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0b

Counts
19 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
2.0ms
(+ x (* 1/2 (/ y x)))
6.0ms
(* 1/2 (/ y x))

series7.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ x (* 1/2 (/ y x)))
3.0ms
(* 1/2 (/ y x))

simplify101.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0223199
1960186
24224186
35001186

prune46.0ms

Filtered
49 candidates to 34 candidates (30.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done011
Total49352

Merged error: 0b

Counts
52 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- div-inv
Counts
2 → 44
Calls
2 calls:
6.0ms
(* -1/2 (/ y x))
5.0ms
(- (* -1/2 (/ y x)) x)

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* -1/2 (/ y x))
5.0ms
(- (* -1/2 (/ y x)) x)

simplify95.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0219205
1893190
24202189
35003189

prune42.0ms

Filtered
50 candidates to 34 candidates (32.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh000
Picked011
Done022
Total50353

Merged error: 0b

Counts
53 → 3

regimes204.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.0b

bsearch27.0ms

Steps
ItersRangePoint
8
2.9152853530884404e+112
8.452397925198781e+116
5.4616089497343346e+116
10
-9.992905510671687e+165
-8.755825193208184e+150
-1.3545502803736839e+154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0229
1229

end0.0ms

sample536.0ms

Algorithm
intervals
Results
201.0ms8000×body80valid
61.0ms2648×body80nan

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