Details

Time bar (total: 2.6s)

analyze798.0ms (31.3%)

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)

sample1.1s (45.1%)

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Results
951.0ms8256×body128valid
143.0ms1371×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify12.0ms (0.5%)

Algorithm
1×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
1×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)

localize9.0ms (0.4%)

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 (1.8%)

Algorithm
1×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
1×node limit
Counts
1 → 50
Calls

1 calls:

44.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

simplify30.0ms (1.2%)

Algorithm
1×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
1×saturated
Counts
98 → 55

prune31.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New53255
Fresh000
Picked101
Done000
Total54256
Error
0b
Counts
56 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
▶0.0b
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
Compiler

Compiled 948 to 243 computations (74.4% saved)

localize6.0ms (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)))

series14.0ms (0.6%)

Counts
1 → 48
Calls

1 calls:

14.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))

rewrite63.0ms (2.5%)

Algorithm
1×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
1×node limit
Counts
1 → 204
Calls

1 calls:

57.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))

simplify34.0ms (1.3%)

Algorithm
1×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
1×saturated
Counts
252 → 209

prune81.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2090209
Fresh011
Picked011
Done000
Total2092211
Error
0b
Counts
211 → 2
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
✓0.0b
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
Compiler

Compiled 5353 to 1320 computations (75.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.4%)

Counts
1 → 48
Calls

1 calls:

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

rewrite38.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
631×log1p-expm1-u_binary64
631×expm1-log1p-u_binary64
191×prod-diff_binary64
133×expm1-udef_binary64
133×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11608
219758
Stop Event
1×node limit
Counts
1 → 23
Calls

1 calls:

38.0ms
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))

simplify37.0ms (1.4%)

Algorithm
1×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
1×saturated
Counts
71 → 27

prune11.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done011
Total27229
Error
0b
Counts
29 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
✓0.0b
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
Compiler

Compiled 303 to 95 computations (68.6% saved)

regimes105.0ms (4.1%)

Accuracy

Total 0.0b remaining (95.9%)

Threshold costs 0.0b (95.9%)

Counts
10 → 1
Compiler

Compiled 1168 to 762 computations (34.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22310
32910
43210
53310
Stop Event
1×saturated

end60.0ms (2.4%)

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 88 to 56 computations (36.4% saved)

Profiling

Loading profile data...