Details

Time bar (total: 1.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms74×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: 25.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
23.4b
(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)
4.0ms
(sqrt (+ (* x x) y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (* x x) y)
43.0ms
(sqrt (+ (* x x) y))

simplify52.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0153160
1518146
21716138
35002136

prune82.0ms

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)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma 1/2 (/ y x) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02144
14839
215639
358539
4278439
5500139

prune22.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
fma-def associate-*l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
2.0ms
(+ x (* 1/2 (/ y x)))
7.0ms
(* 1/2 (/ y x))

series38.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (* 1/2 (/ y x)))
17.0ms
(* 1/2 (/ y x))

simplify105.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0230213
1988194
24421194
35001194

prune98.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

97% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.8b

bsearch49.0ms

Steps
ItersRangePoint
8
9.893798366210555e+44
6.001266071762581e+48
5.856941166310686e+48
10
-2.2059920124076508e+157
-2.5337000025306127e+146
-1.3594260967832104e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample355.0ms

Algorithm
intervals
Results
139.0ms8000×body80valid
51.0ms2584×body80nan