Details

Time bar (total: 1.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms80×body80nan

simplify6.0ms

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: 22.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
20.5b
(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:
21.0ms
(+ (* x x) y)
41.0ms
(sqrt (+ (* x x) y))

simplify52.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0153160
1518146
21716138
35002136

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(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)

simplify76.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02144
14839
215639
358539
4278439
5500139

prune23.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
2.0ms
(+ x (* 1/2 (/ y x)))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(+ x (* 1/2 (/ y x)))

simplify115.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08884
132270
2125370
3455270
4500170

prune33.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.5b

bsearch47.0ms

Steps
ItersRangePoint
7
8.612591202997665e+113
1.4008331483815615e+116
1.307478458726982e+114
10
-6.46542998312959e+157
-1.6259263967015282e+146
-1.3399424880674952e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample352.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid
47.0ms2674×body80nan