Details

Time bar (total: 1.3s)

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
4.0ms80×body80nan

simplify5.0ms

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: 20.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
19.3b
(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:
3.0ms
(+ (* x x) y)
5.0ms
(sqrt (+ (* x x) y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (* x x) y)
43.0ms
(sqrt (+ (* x x) y))

simplify54.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0153160
1518146
21716138
35002136

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
8.0ms
(* 1/2 (/ y x))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* 1/2 (/ y x))

simplify61.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166134
1729124
22968124
35001124

prune57.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.2b

bsearch57.0ms

Steps
ItersRangePoint
8
4.156039484845393e+59
1.5826941099673832e+62
1.5656115498336859e+62
9
-1.1617128053451152e+159
-5.131336026657072e+149
-1.380447448834878e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample706.0ms

Algorithm
intervals
Results
391.0ms8000×body80valid
129.0ms2706×body80nan