Details

Time bar (total: 3.6s)

analyze1.3s (36.1%)

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
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%97.5%2.5%12
0%94.8%5.2%13
0%94.5%5.5%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.8s (50.5%)

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Results
994.0ms8256×body128valid
687.0ms1277×body8192exit
75.0ms679×body128invalid
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify16.0ms (0.4%)

Algorithm
egg-herbie
Rules
171×fma-def_binary64
87×fma-neg_binary64
36×cancel-sign-sub-inv_binary64
23×distribute-rgt-neg-in_binary64
20×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11610
22710
34410
46610
510010
615210
721310
825710
927910
1029910
1130510
1227410

prune2.0ms (0%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.4%)

Counts
1 → 48
Calls

1 calls:

13.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

rewrite3.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
cancel-sign-sub-inv_binary64
flip--_binary64
sub-neg_binary64
*-un-lft-identity_binary64
Counts
1 → 16
Calls

1 calls:

3.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

simplify119.0ms (3.3%)

Algorithm
egg-herbie
Rules
480×times-frac_binary64
463×fma-def_binary64
444×unsub-neg_binary64
265×sub-neg_binary64
232×distribute-rgt-neg-in_binary64
Counts
64 → 32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042682
1112658
2347652
3974652
42183652
53451652
64489652
74961652
84995652
94859652

prune20.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New30232
Fresh000
Picked101
Done000
Total31233
Error
0.0b
Counts
33 → 2
Alt Table
StatusErrorProgram
31.3b
(neg.f64 (*.f64 y.im x.im))
0.0b
(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))
Compiler

Compiled 451 to 118 computations (73.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.3%)

Counts
1 → 48
Calls

1 calls:

10.0ms
(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

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

simplify84.0ms (2.3%)

Algorithm
egg-herbie
Rules
967×unsub-neg_binary64
792×times-frac_binary64
422×fma-neg_binary64
384×neg-sub0_binary64
364×neg-mul-1_binary64
Counts
58 → 21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022568
136547
265547
3215547
4895547
51760547
63723547
74512547
85729547

prune8.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh011
Picked011
Done000
Total21223
Error
0.0b
Counts
23 → 2
Alt Table
StatusErrorProgram
31.3b
(neg.f64 (*.f64 y.im x.im))
0.0b
(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))
Compiler

Compiled 268 to 69 computations (74.3% saved)

localize3.0ms (0.1%)

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0.0b
Counts
2 → 2
Alt Table
StatusErrorProgram
31.3b
(neg.f64 (*.f64 y.im x.im))
0.0b
(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes120.0ms (3.3%)

Accuracy

Total -0.0b remaining (-0.6%)

Threshold costs -0.0b (-0.6%)

Counts
11 → 1
Compiler

Compiled 1242 to 841 computations (32.3% saved)

simplify3.0ms (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
01122
12222
23022
33422
43522
53522

end70.0ms (1.9%)

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 133 to 73 computations (45.1% saved)

Profiling

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