Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms91×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 22.3b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

20.8b
(sqrt (+ (* x x) y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u add-log-exp
Counts
1 → 18
Calls
1 calls:
4.0ms
(sqrt (+ (* x x) y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(sqrt (+ (* x x) y))

simplify148.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0126102
137895
2114792
3456790
4500190

prune48.0ms

Filtered
21 candidates to 19 candidates (90.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New18321
Fresh000
Picked011
Done000
Total18422

Merged error: 0b

Counts
22 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
6.0ms
(* 1/2 (/ y x))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* 1/2 (/ y x))

simplify69.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166134
1729124
22968124
35001124

prune51.0ms

Filtered
37 candidates to 26 candidates (70.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New37037
Fresh022
Picked011
Done011
Total37441

Merged error: 0b

Counts
41 → 4

localize4.0ms

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

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0b

Counts
4 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot x (pow y 1/2))
0.2b
(pow (hypot x (pow y 1/2)) 3)
23.6b
(cbrt (pow (hypot x (pow y 1/2)) 3))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down cube-prod
pow1 add-exp-log add-cbrt-cube
expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
cube-mult hypot-udef unpow3 sqr-pow
pow-to-exp pow-pow pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 59
Calls
3 calls:
1.0ms
(hypot x (pow y 1/2))
2.0ms
(pow (hypot x (pow y 1/2)) 3)
2.0ms
(cbrt (pow (hypot x (pow y 1/2)) 3))

series262.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(hypot x (pow y 1/2))
100.0ms
(pow (hypot x (pow y 1/2)) 3)
82.0ms
(cbrt (pow (hypot x (pow y 1/2)) 3))

simplify173.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0190291
1685268
24266259
35001259

prune124.0ms

Filtered
68 candidates to 46 candidates (67.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done033
Total68472

Merged error: 0b

Counts
72 → 4

regimes119.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.5b

bsearch43.0ms

Steps
ItersRangePoint
4
4.5418805312590315e+84
8.493915305067446e+84
8.26951437345956e+84
10
-4.1653256596649633e+164
-6.188077678441323e+152
-1.334087264880127e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample468.0ms

Algorithm
intervals
Results
217.0ms8000×body80valid
74.0ms2695×body80nan

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