Details

Time bar (total: 1.1s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms82×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: 19.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
18.3b
(sqrt (+ (* x x) y))

rewrite18.0ms

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:
8.0ms
(+ (* x x) y)
10.0ms
(sqrt (+ (* x x) y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (* x x) y)
41.0ms
(sqrt (+ (* x x) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0153160
1518146
21716138
35002136

prune93.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

18.3b
(sqrt (fma x x y))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
2.0ms
(sqrt (fma x x y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(sqrt (fma x x y))

simplify89.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
07664
118559
261658
3252556
4500156

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

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 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 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)

simplify78.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02144
14839
215639
358539
4278439
5500139

prune22.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.0b

bsearch43.0ms

Steps
ItersRangePoint
7
7.569922578618304e+138
1.3358441697394925e+141
7.483080572797597e+140
9
-8.37881605524702e+155
-1.6181289332921645e+150
-1.3467905082205938e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1288
2308
3308

end0.0ms

sample451.0ms

Algorithm
intervals
Results
154.0ms8000×body80valid
51.0ms2726×body80nan