Details

Time bar (total: 980.0ms)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms80×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: 26.1b

localize5.0ms

Local error

Found 1 expressions with local error:

24.3b
(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))

series54.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(sqrt (+ (* x x) y))

simplify143.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0126102
137895
2114792
3456790
4500190

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

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))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* 1/2 (/ y x))

simplify63.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166134
1729124
22968124
35001124

prune60.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.9b

bsearch44.0ms

Steps
ItersRangePoint
7
3.745983881644026e+83
1.1750026284295266e+85
4.857896588726663e+84
8
-4.8974339249696285e+155
-4.1579563909415707e+152
-1.2633912787962721e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample356.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid
49.0ms2799×body80nan