Details

Time bar (total: 1.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms87×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: 23.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
21.9b
(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))

series64.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (* x x) y)
45.0ms
(sqrt (+ (* x x) y))

simplify59.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0153160
1518146
21716138
35002136

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

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

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))

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:
7.0ms
(* 1/2 (/ y x))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(* 1/2 (/ y x))

simplify71.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0166134
1729124
22968124
35001124

prune60.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.7b

bsearch57.0ms

Steps
ItersRangePoint
9
6.031257438208184e+93
1.0558255803303996e+101
6.0649247451993015e+100
8
-6.724232630370945e+156
-1.5764626504621356e+152
-1.3370878685001146e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample564.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid
95.0ms2748×body80nan