Details

Time bar (total: 1.4s)

analyze141.0ms (10.1%)

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
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample779.0ms (56%)

Symmetry

(sort x y)

Results
744.0ms8256×body128valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
13×associate-/r*_binary64
5×*-commutative_binary64
4×associate-/l/_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22913
34313
44513
Stop Event
1×saturated
Counts
1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶13.3b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓12.8b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series19.0ms (1.4%)

Counts
1 → 24
Calls

1 calls:

19.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite46.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
517×log-prod_binary64
482×prod-diff_binary64
180×fma-def_binary64
167×expm1-udef_binary64
167×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118013
2264813
Stop Event
1×node limit
Counts
1 → 46
Calls

1 calls:

45.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

simplify9.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
2×associate-*r/_binary64
1×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012204
121204
228204
Stop Event
1×saturated
Counts
70 → 50

prune27.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New48250
Fresh000
Picked101
Done000
Total49251
Error
0b
Counts
51 → 2
Alt Table
StatusErrorProgram
8.8b
(pow.f64 (/.f64 y (*.f64 1/2 (/.f64 (+.f64 x y) x))) -1)
▶0.0b
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 786 to 424 computations (46.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

series6.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

6.0ms
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

rewrite45.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
903×prod-diff_binary64
290×fma-def_binary64
158×expm1-udef_binary64
158×log1p-udef_binary64
153×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116710
2251310
Stop Event
1×node limit
Counts
1 → 68
Calls

1 calls:

44.0ms
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

simplify13.0ms (1%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
2×associate-*r/_binary64
1×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012204
121204
228204
Stop Event
1×saturated
Counts
92 → 72

prune38.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done000
Total72274
Error
0b
Counts
74 → 2
Alt Table
StatusErrorProgram
▶8.8b
(pow.f64 (/.f64 y (*.f64 1/2 (/.f64 (+.f64 x y) x))) -1)
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 994 to 690 computations (30.6% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x y) x)
✓8.2b
(/.f64 y (*.f64 1/2 (/.f64 (+.f64 x y) x)))

series14.0ms (1%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(/.f64 y (*.f64 1/2 (/.f64 (+.f64 x y) x)))
4.0ms
(/.f64 (+.f64 x y) x)

rewrite58.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
491×prod-diff_binary64
183×log-div_binary64
179×fma-def_binary64
175×expm1-udef_binary64
175×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118620
2281520
Stop Event
1×node limit
Counts
2 → 77
Calls

2 calls:

57.0ms
(/.f64 (+.f64 x y) x)
57.0ms
(/.f64 y (*.f64 1/2 (/.f64 (+.f64 x y) x)))

simplify30.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
591×fma-def_binary64
566×cancel-sign-sub-inv_binary64
383×fma-neg_binary64
331×associate-/r/_binary64
294×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039651
1135615
2447615
31749567
Stop Event
1×node limit
Counts
125 → 94

prune45.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done011
Total94296
Error
0b
Counts
96 → 2
Alt Table
StatusErrorProgram
✓8.8b
(pow.f64 (/.f64 y (*.f64 1/2 (/.f64 (+.f64 x y) x))) -1)
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 1540 to 848 computations (44.9% saved)

regimes46.0ms (3.3%)

Accuracy

Total 0.0b remaining (58.3%)

Threshold costs 0.0b (58.3%)

Counts
14 → 1
Compiler

Compiled 463 to 349 computations (24.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1810
Stop Event
1×saturated

end46.0ms (3.3%)

Remove

(sort x y)

Compiler

Compiled 58 to 44 computations (24.1% saved)

Profiling

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