Details

Time bar (total: 1.2s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms90×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073
173

prune2.0ms

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:
5.0ms
(sqrt (+ (* x x) y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(sqrt (+ (* x x) y))

simplify146.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0126102
137895
2114792
3456790
4500190

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot x (pow y 1/2))

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 (pow y 1/2))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(hypot x (pow y 1/2))

simplify125.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
06750
116241
259840
3296439
4500139

prune37.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize3.0ms

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

prune2.0ms

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)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma 1/2 (/ y x) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02144
14839
215639
358539
4278439
5500139

prune23.0ms

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

bsearch48.0ms

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
0247
1307
2417
3467
4467

end0.0ms

sample375.0ms

Algorithm
intervals
Results
154.0ms8000×body80valid
45.0ms2562×body80nan