Details

Time bar (total: 1.5s)

analyze100.0ms (6.8%)

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)

sample781.0ms (52.8%)

Results
754.0ms8256×body128valid
13.0ms175×body128invalid
Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess18.0ms (1.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11314
022
Stop Event
saturated
saturated
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
Stop Event
saturated
Counts
1 → 2

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
20.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
20.8b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
19.4b
(sqrt.f64 (fma.f64 x x y))

series13.0ms (0.8%)

Counts
1 → 16
Calls

6 calls:

3.0ms
(sqrt.f64 (fma.f64 x x y))
y
-inf
3.0ms
(sqrt.f64 (fma.f64 x x y))
y
inf
2.0ms
(sqrt.f64 (fma.f64 x x y))
x
-inf
2.0ms
(sqrt.f64 (fma.f64 x x y))
x
0
1.0ms
(sqrt.f64 (fma.f64 x x y))
x
inf

rewrite35.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
404×log1p-expm1-u_binary64
404×expm1-log1p-u_binary64
342×pow1_binary64
281×unpow-prod-down_binary64
213×log-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
1986
211286
Stop Event
node limit
Counts
1 → 42

simplify25.0ms (1.7%)

Algorithm
egg-herbie
Rules
653×times-frac_binary64
423×cancel-sign-sub-inv_binary64
421×associate-/l*_binary64
345×fma-neg_binary64
339×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054329
1156325
2453311
31743309
Stop Event
node limit
Counts
58 → 64

prune30.0ms (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
21.1b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
20.8b
(sqrt.f64 (fma.f64 x x y))
42.2b
(neg.f64 x)
43.0b
x
Compiler

Compiled 812 to 445 computations (45.2% saved)

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
19.9b
(pow.f64 (fma.f64 x x y) 1/4)

series44.0ms (3%)

Counts
2 → 48
Calls

12 calls:

5.0ms
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
x
-inf
5.0ms
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
y
-inf
5.0ms
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
x
0
4.0ms
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
y
inf
4.0ms
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
x
inf

rewrite39.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
605×log1p-expm1-u_binary64
605×expm1-log1p-u_binary64
295×log-prod_binary64
127×expm1-udef_binary64
127×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0816
117014
2178314
Stop Event
node limit
Counts
2 → 50

simplify43.0ms (2.9%)

Algorithm
egg-herbie
Rules
698×times-frac_binary64
454×fma-def_binary64
411×associate-/l*_binary64
332×associate-/r*_binary64
195×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471617
14391599
214681417
Stop Event
node limit
Counts
98 → 110

prune58.0ms (3.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done011
Total1104114
Error
0b
Counts
114 → 4
Alt Table
StatusErrorProgram
21.1b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
20.8b
(sqrt.f64 (fma.f64 x x y))
42.2b
(neg.f64 x)
43.0b
x
Compiler

Compiled 2133 to 1399 computations (34.4% 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
21.1b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
20.8b
(sqrt.f64 (fma.f64 x x y))
42.2b
(neg.f64 x)
43.0b
x
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize1.0ms (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
21.1b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
20.8b
(sqrt.f64 (fma.f64 x x y))
42.2b
(neg.f64 x)
43.0b
x
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes187.0ms (12.7%)

Accuracy

Total 1.2b remaining (99.8%)

Threshold costs 0b (0%)

Counts
13 → 3
Compiler

Compiled 549 to 361 computations (34.2% saved)

bsearch27.0ms (1.8%)

Algorithm
binary-search
Calls

2 calls:

17.0ms
x
10.0ms
x
Steps
ItersPointRange
225767106306.02066
∈ [
3746441.7403613627
,
230031809938.03964
]
-8.33118696796323e+153
∈ [
-4.995915427388003e+161
,
-6.927193181815617e+149
]
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.2%)

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
Stop Event
saturated

end51.0ms (3.4%)

Stop Event
done
Compiler

Compiled 60 to 38 computations (36.7% saved)

Profiling

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