Details

Time bar (total: 1.4s)

analyze83.0ms (5.7%)

Algorithm
1×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)

sample666.0ms (46.3%)

Results
650.0ms8256×body128valid
Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess13.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
1814
022
Stop Event
1×saturated
1×saturated
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
Stop Event
1×saturated
Counts
1 → 1

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)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.9%)

Counts
1 → 24
Calls

6 calls:

7.0ms
(/.f64 x (+.f64 x y))
y
inf
2.0ms
(/.f64 x (+.f64 x y))
x
0
1.0ms
(/.f64 x (+.f64 x y))
y
-inf
1.0ms
(/.f64 x (+.f64 x y))
y
0
1.0ms
(/.f64 x (+.f64 x y))
x
-inf

rewrite36.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
671×log1p-expm1-u_binary64
671×expm1-log1p-u_binary64
473×prod-diff_binary64
61×add-sqr-sqrt_binary64
58×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11157
217427
Stop Event
1×node limit
Counts
1 → 35

simplify21.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
384×associate-/l*_binary64
333×associate-/r*_binary64
321×associate-*l/_binary64
252×fma-def_binary64
233×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030438
178438
2222387
3962345
Stop Event
1×node limit
Counts
59 → 48

prune28.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449
Error
0b
Counts
49 → 4
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 x (+.f64 x y))
13.4b
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
▶0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
30.8b
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
Compiler

Compiled 608 to 265 computations (56.4% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x y))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))

series20.0ms (1.4%)

Counts
2 → 48
Calls

12 calls:

7.0ms
(/.f64 1 (+.f64 x y))
x
0
1.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
x
0
1.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
y
-inf
1.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
y
inf
1.0ms
(/.f64 1 (+.f64 x y))
y
0

rewrite43.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
738×log1p-expm1-u_binary64
738×expm1-log1p-u_binary64
484×prod-diff_binary64
75×add-sqr-sqrt_binary64
71×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115114
2203414
Stop Event
1×node limit
Counts
2 → 51

simplify37.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
588×associate-/l*_binary64
537×associate-/r*_binary64
452×cancel-sign-sub-inv_binary64
426×fma-def_binary64
275×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048912
1120912
2357825
31494750
Stop Event
1×node limit
Counts
99 → 78

prune37.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done011
Total78482
Error
0b
Counts
82 → 4
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 x (+.f64 x y))
▶13.4b
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
✓0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
30.8b
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
Compiler

Compiled 958 to 490 computations (48.9% saved)

localize7.0ms (0.5%)

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)
✓5.4b
(sqrt.f64 (/.f64 x (+.f64 x y)))

series56.0ms (3.9%)

Counts
2 → 24
Calls

12 calls:

10.0ms
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
x
inf
9.0ms
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
y
-inf
8.0ms
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
x
0
8.0ms
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
y
inf
5.0ms
(sqrt.f64 (/.f64 x (+.f64 x y)))
x
0

rewrite48.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
816×log1p-expm1-u_binary64
816×expm1-log1p-u_binary64
473×prod-diff_binary64
79×add-sqr-sqrt_binary64
78×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
118016
2220516
Stop Event
1×node limit
Counts
2 → 78

simplify21.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
523×associate-/l*_binary64
455×cancel-sign-sub-inv_binary64
369×associate-*l/_binary64
355×associate-/r*_binary64
337×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029384
187384
2255336
31066306
Stop Event
1×node limit
Counts
102 → 90

prune66.0ms (4.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done022
Total1384142
Error
0b
Counts
142 → 4
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 x (+.f64 x y))
✓13.4b
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
✓0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
▶30.8b
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
Compiler

Compiled 1805 to 783 computations (56.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 y x) -1)
✓0.1b
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)

series11.0ms (0.8%)

Counts
2 → 48
Calls

12 calls:

2.0ms
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
y
-inf
1.0ms
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
y
inf
1.0ms
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
y
0
1.0ms
(+.f64 (/.f64 y x) -1)
y
inf
1.0ms
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
x
0

rewrite42.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
825×log1p-expm1-u_binary64
825×expm1-log1p-u_binary64
130×prod-diff_binary64
82×add-sqr-sqrt_binary64
77×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
116421
2212721
Stop Event
1×node limit
Counts
2 → 57

simplify33.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
645×fma-neg_binary64
620×times-frac_binary64
570×unswap-sqr_binary64
302×associate-/l*_binary64
195×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015471
132471
254426
3125402
4472402
53536402
Stop Event
1×node limit
Counts
105 → 69

prune44.0ms (3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done033
Total69473
Error
0b
Counts
73 → 4
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 x (+.f64 x y))
✓13.4b
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
✓0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
✓30.8b
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
Compiler

Compiled 1095 to 568 computations (48.1% saved)

regimes32.0ms (2.2%)

Accuracy

Total 0.0b remaining (63.3%)

Threshold costs 0.0b (63.3%)

Counts
12 → 1
Compiler

Compiled 308 to 205 computations (33.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
Stop Event
1×saturated

end60.0ms (4.2%)

Stop Event
1×done
Compiler

Compiled 52 to 32 computations (38.5% saved)

Profiling

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