Details

Time bar (total: 1.3s)

analyze93.0ms (7.1%)

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)

sample734.0ms (55.9%)

Results
694.0ms8256×body128valid
12.0ms173×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
23.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
23.3b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
21.6b
(sqrt.f64 (fma.f64 x x y))

series11.0ms (0.8%)

Counts
1 → 16
Calls

1 calls:

11.0ms
(sqrt.f64 (fma.f64 x x y))

rewrite74.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
723×log1p-udef_binary64
404×log1p-expm1-u_binary64
404×expm1-log1p-u_binary64
342×pow1_binary64
290×unpow-prod-down_binary64
Counts
1 → 42
Calls

1 calls:

73.0ms
(sqrt.f64 (fma.f64 x x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1976
210696
345916
458426
000
100

simplify50.0ms (3.8%)

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
58 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054329
1154325
2417311
31546309
44410309
55209309

prune29.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New61364
Fresh000
Picked011
Done000
Total61465
Error
0b
Counts
65 → 4
Alt Table
StatusErrorProgram
24.3b
(hypot.f64 x (sqrt.f64 y))
40.2b
(neg.f64 x)
40.8b
x
23.3b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 804 to 435 computations (45.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 x (sqrt.f64 y))

series20.0ms (1.5%)

Counts
1 → 13
Calls

1 calls:

20.0ms
(hypot.f64 x (sqrt.f64 y))

rewrite72.0ms (5.5%)

Algorithm
batch-egg-rewrite
Rules
705×log1p-udef_binary64
397×log1p-expm1-u_binary64
397×expm1-log1p-u_binary64
342×pow1_binary64
295×unpow-prod-down_binary64
Counts
1 → 37
Calls

1 calls:

71.0ms
(hypot.f64 x (sqrt.f64 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1986
210586
345526
457756
000
100

simplify48.0ms (3.7%)

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
50 → 59
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054262
1154258
2417248
31546246
44410246
55209246

prune23.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done011
Total59463
Error
0b
Counts
63 → 4
Alt Table
StatusErrorProgram
24.3b
(hypot.f64 x (sqrt.f64 y))
40.2b
(neg.f64 x)
40.8b
x
23.3b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 753 to 378 computations (49.8% saved)

localize1.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
24.3b
(hypot.f64 x (sqrt.f64 y))
40.2b
(neg.f64 x)
40.8b
x
23.3b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize0.0ms (0%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
24.3b
(hypot.f64 x (sqrt.f64 y))
40.2b
(neg.f64 x)
40.8b
x
23.3b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes74.0ms (5.6%)

Accuracy

Total 0.2b remaining (98.7%)

Threshold costs 0.2b (98.7%)

Counts
7 → 3
Compiler

Compiled 259 to 171 computations (34% saved)

bsearch14.0ms (1%)

Steps
ItersRangePoint
5
2.4215920175151973e+99
4.7553724742334505e+101
4.0912005621750195e+101
3
-1.4255541014693763e+155
-2.2425053756222395e+153
-1.0623381855617276e+154
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (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
01323
11723
21923
32023
42023

end47.0ms (3.6%)

Compiler

Compiled 56 to 35 computations (37.5% saved)

Profiling

Loading profile data...