Details

Time bar (total: 1.7s)

analyze51.0ms (3%)

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
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample958.0ms (56%)

Results
927.0ms8256×body128valid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 x (+.f64 x y))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))

series7.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(/.f64 x (+.f64 x y))

rewrite43.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
671×log1p-expm1-u_binary64
671×expm1-log1p-u_binary64
473×prod-diff_binary64
61×add-sqr-sqrt_binary64
57×add-log-exp_binary64
Counts
1 → 35
Calls

1 calls:

42.0ms
(/.f64 x (+.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11157
216567
350107
000
100

simplify66.0ms (3.9%)

Algorithm
egg-herbie
Rules
385×associate-/l*_binary64
334×associate-/r*_binary64
321×associate-*l/_binary64
252×fma-def_binary64
241×associate-*r/_binary64
Counts
59 → 48
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
030438
176438
2217387
3866345
44256345
54966321
64952321

prune27.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh000
Picked011
Done000
Total46349
Error
0b
Counts
49 → 3
Alt Table
StatusErrorProgram
0.0b
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
0.0b
(/.f64 x (+.f64 x y))
11.4b
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
Compiler

Compiled 579 to 251 computations (56.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 x (+.f64 x y)))
0.0b
(/.f64 x (+.f64 x y))
0.0b
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))

series22.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

13.0ms
(log1p.f64 (/.f64 x (+.f64 x y)))
9.0ms
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))

rewrite50.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
745×expm1-log1p-u_binary64
744×log1p-expm1-u_binary64
663×prod-diff_binary64
69×add-sqr-sqrt_binary64
64×egg-rr
Counts
2 → 64
Calls

2 calls:

49.0ms
(log1p.f64 (/.f64 x (+.f64 x y)))
49.0ms
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
113416
2184616
3583616
000
100

simplify67.0ms (3.9%)

Algorithm
egg-herbie
Rules
782×cancel-sign-sub-inv_binary64
541×fma-neg_binary64
509×associate-/r/_binary64
205×distribute-neg-frac_binary64
195×distribute-rgt-neg-in_binary64
Counts
112 → 90
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053984
1153972
2456870
31928819
44875819
54971819

prune74.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done011
Total1383141
Error
0b
Counts
141 → 3
Alt Table
StatusErrorProgram
0.0b
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
0.0b
(/.f64 x (+.f64 x y))
11.4b
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
Compiler

Compiled 1785 to 797 computations (55.4% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))
0.1b
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
7.5b
(sqrt.f64 (/.f64 x (+.f64 x y)))

series58.0ms (3.4%)

Counts
2 → 24
Calls

2 calls:

32.0ms
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
26.0ms
(sqrt.f64 (/.f64 x (+.f64 x y)))

rewrite56.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
816×log1p-expm1-u_binary64
816×expm1-log1p-u_binary64
473×prod-diff_binary64
78×egg-rr
78×add-sqr-sqrt_binary64
Counts
2 → 78
Calls

2 calls:

54.0ms
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
54.0ms
(sqrt.f64 (/.f64 x (+.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
116216
2205116
3584616
000
100

simplify44.0ms (2.6%)

Algorithm
egg-herbie
Rules
526×associate-/l*_binary64
455×cancel-sign-sub-inv_binary64
370×associate-*l/_binary64
369×associate-*r/_binary64
357×associate-/r*_binary64
Counts
102 → 90
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029384
186384
2243336
3949306
44278294
55011294

prune67.0ms (3.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done022
Total1383141
Error
0b
Counts
141 → 3
Alt Table
StatusErrorProgram
0.0b
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
0.0b
(/.f64 x (+.f64 x y))
11.4b
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
Compiler

Compiled 1774 to 773 computations (56.4% saved)

regimes45.0ms (2.6%)

Accuracy

Total 0.0b remaining (38.1%)

Threshold costs 0.0b (38.1%)

Counts
17 → 1
Compiler

Compiled 446 to 313 computations (29.8% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end52.0ms (3%)

Compiler

Compiled 44 to 29 computations (34.1% saved)

Profiling

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