Details

Time bar (total: 2.1s)

analyze1.0s (48.6%)

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)

sample35.0ms (1.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms30×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify17.0ms (0.8%)

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

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 (*.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))

series12.0ms (0.6%)

Counts
1 → 48
Calls

1 calls:

12.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

rewrite3.0ms (0.2%)

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))

simplify114.0ms (5.4%)

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

prune18.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New30232
Fresh000
Picked101
Done000
Total31233
Error
0b
Counts
33 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))
29.6b
(neg.f64 (*.f64 y.im x.im))
Compiler

Compiled 451 to 118 computations (73.8% saved)

localize6.0ms (0.3%)

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 (0.5%)

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 (4%)

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

prune7.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh011
Picked011
Done000
Total21223
Error
0b
Counts
23 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))
29.6b
(neg.f64 (*.f64 y.im x.im))
Compiler

Compiled 268 to 69 computations (74.3% saved)

localize3.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))
29.6b
(neg.f64 (*.f64 y.im x.im))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes99.0ms (4.7%)

Accuracy

Total 0.0b remaining (5.3%)

Threshold costs 0.0b (5.3%)

Counts
11 → 1
Compiler

Compiled 1173 to 794 computations (32.3% 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
11710
22510
33010
43210
53210

end23.0ms (1.1%)

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 55 to 35 computations (36.4% saved)

sample651.0ms (30.6%)

Algorithm
intervals
Results
256.0ms8000×body128valid
40.0ms1328×body128invalid
Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

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