Details

Time bar (total: 1.2s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms81×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: 23.1b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
21.5b
(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))

series61.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* x x) y)
39.0ms
(sqrt (+ (* x x) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0153160
1518146
21716138
35002136

prune70.0ms

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)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(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

prune24.0ms

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 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
fma-def associate-*l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
3.0ms
(+ x (* 1/2 (/ y x)))
6.0ms
(* 1/2 (/ y x))

series40.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ x (* 1/2 (/ y x)))
18.0ms
(* 1/2 (/ y x))

simplify106.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0230213
1988194
24421194
35001194

prune86.0ms

Filtered
56 candidates to 42 candidates (75.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done022
Total56359

Merged error: 0b

Counts
59 → 3

regimes107.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.6b

bsearch52.0ms

Steps
ItersRangePoint
10
1.7379375439680555e+61
6.746846016978251e+72
5.881977747574604e+72
8
-2.6676859741206384e+154
-1.2703865724772198e+151
-4.601374943461177e+152

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample450.0ms

Algorithm
intervals
Results
210.0ms8000×body80valid
64.0ms2699×body80nan

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