Details

Time bar (total: 2.6s)

analyze1.1s (40.2%)

Algorithm
1×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)

sample34.0ms (1.3%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
1.0ms34×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify20.0ms (0.8%)

Algorithm
1×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 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11814
22914
34614
46814
510214
615414
721514
825914
928114
1030114
1130714
1227614

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite35.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×add-sqr-sqrt_binary64
6×add-log-exp_binary64
5×flip3--_binary64
5×add-cube-cbrt_binary64
4×pow1_binary64
Counts
1 → 47
Calls

1 calls:

18.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Compiler

Compiled 735 to 139 computations (81.1% saved)

series28.0ms (1.1%)

Error
0.0b
Counts
1 → 24
Calls

1 calls:

26.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Compiler

Compiled 379 to 249 computations (34.3% saved)

simplify94.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
710×fma-neg_binary64
558×cancel-sign-sub-inv_binary64
308×distribute-rgt-neg-in_binary64
286×div-sub_binary64
267×distribute-lft-neg-in_binary64
Counts
71 → 35
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0751160
11891155
26041145
319161145
439611145
549231145

prune11.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh000
Picked011
Done000
Total34236
Error
0.0b
Counts
36 → 2
Alt Table
StatusErrorProgram
▶34.2b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) 3))
✓0.0b
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Compiler

Compiled 512 to 121 computations (76.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
0.3b
(pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) 3)
32.5b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) 3))

rewrite86.0ms (3.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
19×add-cube-cbrt_binary64
14×flip3--_binary64
14×add-sqr-sqrt_binary64
10×add-log-exp_binary64
9×cube-div_binary64
Counts
3 → 132
Calls

3 calls:

19.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
15.0ms
(pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) 3)
11.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) 3))
Compiler

Compiled 2010 to 654 computations (67.5% saved)

series147.0ms (5.6%)

Error
0.0b
Counts
3 → 96
Calls

3 calls:

76.0ms
(pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) 3)
34.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) 3))
29.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
Compiler

Compiled 2649 to 1958 computations (26.1% saved)

simplify180.0ms (6.9%)

Algorithm
1×egg-herbie
Rules
686×fma-neg_binary64
615×fma-def_binary64
460×cancel-sign-sub-inv_binary64
299×distribute-rgt-in_binary64
259×distribute-lft-in_binary64
Counts
228 → 130
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01675038
14004713
214264446
345084446
449784446

prune28.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done011
Total1302132
Error
0.0b
Counts
132 → 2
Alt Table
StatusErrorProgram
34.2b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) 3))
0.0b
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Compiler

Compiled 1160 to 496 computations (57.2% saved)

regimes72.0ms (2.8%)

Accuracy

Total 0.0b remaining (12.5%)

Threshold costs 0.0b (12.5%)

Compiler

Compiled 888 to 514 computations (42.1% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11714
22714
33314
43714
53814
63814

end78.0ms (3%)

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 55 to 35 computations (36.4% saved)

sample736.0ms (28.1%)

Algorithm
1×intervals
Results
279.0ms8000×body128valid
51.0ms1344×body128invalid
Compiler

Compiled 52 to 36 computations (30.8% saved)

Profiling

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