Details

Time bar (total: 1.4s)

sample14.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
1.0ms90×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize4.0ms

Local error

Found 1 expressions with local error:

20.0b
(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))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(sqrt (+ (* x x) y))

simplify142.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0126102
137895
2114792
3456790
4500190

prune50.0ms

Filtered
21 candidates to 19 candidates (90.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot x (sqrt y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt hypot-udef *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(hypot x (sqrt y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(hypot x (sqrt y))

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
09058
127347
2133344
3500243

prune33.0ms

Filtered
13 candidates to 13 candidates (100.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1/2 (/ y x)))
0.2b
(* 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:
2.0ms
(+ x (* 1/2 (/ y x)))
7.0ms
(* 1/2 (/ y x))

series38.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (* 1/2 (/ y x)))
17.0ms
(* 1/2 (/ y x))

simplify101.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0230213
1988194
24421194
35001194

prune104.0ms

Filtered
56 candidates to 42 candidates (75.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(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:
0.0ms
(fma 1/2 (/ y x) x)

series34.0ms

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

simplify78.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02144
14839
215639
358539
4278439
5500139

prune21.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.1b

bsearch51.0ms

Steps
ItersRangePoint
9
3.484405948710407e+96
1.1133938054187134e+105
8.439081781731016e+104
9
-1.652330989326774e+161
-1.121438893532195e+154
-1.3694640831062883e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample350.0ms

Algorithm
intervals
Results
148.0ms8000×body80valid
41.0ms2562×body80nan