Details

Time bar (total: 1.5s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms86×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: 20.3b

localize5.0ms

Local error

Found 1 expressions with local error:

19.0b
(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))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(sqrt (+ (* x x) y))

simplify154.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0126102
137895
2114792
3456790
4500190

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/2 (/ y x))
0.0b
(+ x (* 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:
7.0ms
(* 1/2 (/ y x))
2.0ms
(+ x (* 1/2 (/ y x)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* 1/2 (/ y x))
23.0ms
(+ x (* 1/2 (/ y x)))

simplify107.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0230213
1988194
24421194
35001194

prune101.0ms

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
(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)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma 1/2 (/ y x) x)

simplify80.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02144
14839
215639
358539
4278439
5500139

prune21.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 22.0b

bsearch66.0ms

Steps
ItersRangePoint
9
4.35975491731079e+116
6.714891876596302e+121
8.456870552497892e+117
10
-6.731738964690938e+154
-1.034655184596798e+141
-1.3352056197781018e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample649.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid
120.0ms2723×body80nan