Details

Time bar (total: 2.8s)

analyze776.0ms (27.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
25%74.9%0.2%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (37.7%)

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Results
873.0ms8256×body128valid
148.0ms1470×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify15.0ms (0.5%)

Algorithm
egg-herbie
Rules
171×fma-def_binary64
87×fma-neg_binary64
37×cancel-sign-sub-inv_binary64
23×distribute-rgt-neg-in_binary64
20×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11610
23110
34810
47510
512310
620410
730510
840710
952310
1058110
1158710
Stop Event
saturated
Counts
1 → 1

prune2.0ms (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 (*.f64 x.re y.re) (*.f64 x.im y.im))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

series8.0ms (0.3%)

Counts
1 → 48
Calls

1 calls:

8.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

rewrite45.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
890×log1p-expm1-u_binary64
890×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
86×add-cbrt-cube_binary64
85×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117910
2241910
Stop Event
node limit
Counts
1 → 50
Calls

1 calls:

42.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

simplify30.0ms (1.1%)

Algorithm
egg-herbie
Rules
172×fma-def_binary64
87×fma-neg_binary64
37×cancel-sign-sub-inv_binary64
23×distribute-rgt-neg-in_binary64
20×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010420
121420
239420
355420
479420
5127420
6208420
7309420
8411420
9527420
10585420
11591420
Stop Event
saturated
Counts
98 → 55

prune25.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New54155
Fresh000
Picked101
Done000
Total55156
Error
0.0b
Counts
56 → 1
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
Compiler

Compiled 926 to 229 computations (75.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))

series15.0ms (0.5%)

Counts
1 → 48
Calls

1 calls:

15.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))

rewrite67.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
632×log1p-expm1-u_binary64
632×expm1-log1p-u_binary64
206×prod-diff_binary64
204×egg-rr
133×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11628
220408
Stop Event
node limit
Counts
1 → 204
Calls

1 calls:

61.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))

simplify41.0ms (1.4%)

Algorithm
egg-herbie
Rules
172×fma-def_binary64
87×fma-neg_binary64
37×cancel-sign-sub-inv_binary64
23×distribute-rgt-neg-in_binary64
20×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010420
121420
239420
355420
479420
5127420
6208420
7309420
8411420
9527420
10585420
11591420
Stop Event
saturated
Counts
252 → 209

prune93.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2081209
Fresh000
Picked011
Done000
Total2082210
Error
0b
Counts
210 → 2
Alt Table
StatusErrorProgram
31.5b
(+.f64 (fma.f64 (*.f64 x.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y.im) x.im)) (sqrt.f64 y.im) (*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im))))
0.0b
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
Compiler

Compiled 5401 to 1334 computations (75.3% saved)

localize24.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x.re (sqrt.f64 y.re))
0.2b
(*.f64 (sqrt.f64 y.im) x.im)
0.2b
(*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im))
38.7b
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y.im) x.im)) (sqrt.f64 y.im) (*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im)))

series157.0ms (5.5%)

Counts
4 → 38
Calls

4 calls:

134.0ms
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y.im) x.im)) (sqrt.f64 y.im) (*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im)))
9.0ms
(*.f64 (sqrt.f64 y.im) x.im)
8.0ms
(*.f64 x.re (sqrt.f64 y.re))
5.0ms
(*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im))

rewrite101.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
592×log-prod_binary64
530×prod-diff_binary64
291×egg-rr
196×expm1-udef_binary64
196×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01247
124426
2301024
Stop Event
node limit
Counts
4 → 291
Calls

4 calls:

91.0ms
(*.f64 x.re (sqrt.f64 y.re))
91.0ms
(*.f64 (sqrt.f64 y.im) x.im)
91.0ms
(*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im))
91.0ms
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y.im) x.im)) (sqrt.f64 y.im) (*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im)))

simplify15.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05104
16104
Stop Event
saturated
Counts
329 → 293

prune158.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3600360
Fresh000
Picked011
Done011
Total3602362
Error
0b
Counts
362 → 2
Alt Table
StatusErrorProgram
31.5b
(+.f64 (fma.f64 (*.f64 x.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y.im) x.im)) (sqrt.f64 y.im) (*.f64 (*.f64 (sqrt.f64 y.im) x.im) (sqrt.f64 y.im))))
0.0b
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
Compiler

Compiled 17656 to 2599 computations (85.3% saved)

regimes122.0ms (4.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
12 → 1
Compiler

Compiled 2065 to 1152 computations (44.2% saved)

simplify2.0ms (0.1%)

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
0810
11510
22310
32910
43210
53310
Stop Event
saturated

end68.0ms (2.4%)

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 112 to 63 computations (43.8% saved)

Profiling

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