Details

Time bar (total: 1.1s)

analyze88.0ms (7.7%)

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)

sample30.0ms (2.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify7.0ms (0.6%)

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
19.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
19.1b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
17.7b
(sqrt.f64 (fma.f64 x x y))

series17.0ms (1.5%)

Counts
1 → 16
Calls

1 calls:

17.0ms
(sqrt.f64 (fma.f64 x x y))

rewrite1.0ms (0.1%)

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))

simplify52.0ms (4.6%)

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

prune24.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh000
Picked011
Done000
Total42446
Error
0b
Counts
46 → 4
Alt Table
StatusErrorProgram
40.1b
x
19.1b
(sqrt.f64 (fma.f64 x x y))
24.5b
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))
44.1b
(neg.f64 x)
Compiler

Compiled 609 to 315 computations (48.3% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 (sqrt.f64 y) x)
0.0b
(log1p.f64 (hypot.f64 (sqrt.f64 y) x))
2.4b
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))

series137.0ms (12%)

Counts
3 → 39
Calls

3 calls:

78.0ms
(log1p.f64 (hypot.f64 (sqrt.f64 y) x))
29.0ms
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))
29.0ms
(hypot.f64 (sqrt.f64 y) x)

rewrite2.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
expm1-log1p-u_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
3 → 32
Calls

3 calls:

0.0ms
(log1p.f64 (hypot.f64 (sqrt.f64 y) x))
0.0ms
(hypot.f64 (sqrt.f64 y) x)
0.0ms
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))

simplify67.0ms (5.8%)

Algorithm
egg-herbie
Rules
571×times-frac_binary64
509×fma-neg_binary64
447×fma-def_binary64
327×associate-/l*_binary64
267×associate-/r*_binary64
Counts
71 → 83
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01521333
13951260
212571227
348681225
451891225

prune37.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh022
Picked011
Done011
Total83487
Error
0b
Counts
87 → 4
Alt Table
StatusErrorProgram
40.1b
x
19.1b
(sqrt.f64 (fma.f64 x x y))
24.5b
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))
44.1b
(neg.f64 x)
Compiler

Compiled 1406 to 822 computations (41.5% saved)

localize1.0ms (0%)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
40.1b
x
19.1b
(sqrt.f64 (fma.f64 x x y))
24.5b
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))
44.1b
(neg.f64 x)
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize2.0ms (0.1%)

prune3.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
40.1b
x
19.1b
(sqrt.f64 (fma.f64 x x y))
24.5b
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))
44.1b
(neg.f64 x)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes83.0ms (7.2%)

Accuracy

Total 0.1b remaining (94.1%)

Threshold costs 0.1b (94.1%)

Counts
9 → 3
Compiler

Compiled 335 to 231 computations (31% saved)

bsearch11.0ms (0.9%)

Steps
ItersRangePoint
6
6.8935995793261745e+106
3.0893700916832055e+107
3.0395144267330163e+107
1
-4.034456597641055e+158
-1.0328575934959355e+148
-2.0548221644559876e+153
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
11623
21823
31923
42023
52023

end0.0ms (0%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample565.0ms (49.4%)

Algorithm
intervals
Results
301.0ms8000×body128valid
5.0ms169×body128nan
Compiler

Compiled 51 to 34 computations (33.3% saved)

Profiling

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