Details

Time bar (total: 913.0ms)

analyze105.0ms (11.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%5
43.7%50%6.3%6
43.7%43.7%12.6%7
59.3%26.5%14.1%8
59.3%22.6%18%9
67.1%13.7%19.2%10
67.1%11.5%21.4%11
71%6.9%22%12
71%5.8%23.2%13
73%3.5%23.5%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample16.0ms (1.8%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0ms11×body128nan
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify6.0ms (0.7%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
fma-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
19.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
19.6b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
18.3b
(sqrt.f64 (fma.f64 x x y))

series18.0ms (2%)

Counts
1 → 16
Calls

1 calls:

18.0ms
(sqrt.f64 (fma.f64 x x y))

rewrite1.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
sqrt-prod_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
pow1_binary64
Counts
1 → 15
Calls

1 calls:

1.0ms
(sqrt.f64 (fma.f64 x x y))

simplify54.0ms (5.9%)

Algorithm
egg-herbie
Rules
653×times-frac_binary64
423×associate-/l*_binary64
423×cancel-sign-sub-inv_binary64
379×unswap-sqr_binary64
345×fma-neg_binary64
Counts
31 → 45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071471
1174463
2445436
31589434
44455434
55259434

prune23.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43245
Fresh000
Picked011
Done000
Total43346
Error
0b
Counts
46 → 3
Alt Table
StatusErrorProgram
19.6b
(sqrt.f64 (fma.f64 x x y))
43.8b
(neg.f64 (fma.f64 1/2 (/.f64 y x) x))
42.8b
x
Compiler

Compiled 603 to 309 computations (48.8% saved)

localize1.0ms (0.1%)

prune2.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
19.6b
(sqrt.f64 (fma.f64 x x y))
43.8b
(neg.f64 (fma.f64 1/2 (/.f64 y x) x))
42.8b
x
Compiler

Compiled 28 to 18 computations (35.7% saved)

localize4.0ms (0.5%)

prune1.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
19.6b
(sqrt.f64 (fma.f64 x x y))
43.8b
(neg.f64 (fma.f64 1/2 (/.f64 y x) x))
42.8b
x
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes104.0ms (11.4%)

Accuracy

Total 0.1b remaining (93.8%)

Threshold costs 0.1b (93.8%)

Counts
9 → 3
Compiler

Compiled 364 to 246 computations (32.4% saved)

bsearch20.0ms (2.1%)

Steps
ItersRangePoint
6
3.4047455773672874e+95
1.825440049330608e+108
1.1119852692118293e+108
2
-1.989223238390208e+155
-1.460523486463214e+153
-5.09766311876058e+153
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12030
22230
32330
42330

end1.0ms (0.1%)

Compiler

Compiled 23 to 14 computations (39.1% saved)

sample546.0ms (59.8%)

Algorithm
intervals
Results
272.0ms8000×body128valid
11.0ms169×body128nan
Compiler

Compiled 53 to 34 computations (35.8% saved)

Profiling

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