Details

Time bar (total: 2.5s)

analyze809.0ms (32.6%)

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)

sample1.0s (42%)

Results
866.0ms8256×body128valid
162.0ms1456×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess43.0ms (1.7%)

Algorithm
egg-herbie
Rules
427×fma-def_binary64
190×fma-neg_binary64
94×cancel-sign-sub-inv_binary64
57×unsub-neg_binary64
52×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02270
16570
212470
319370
429170
555170
686670
7123570
8129070
9129870
10129970
044
144
Stop Event
unsound
saturated
Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify17.0ms (0.7%)

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

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))

series9.0ms (0.4%)

Counts
1 → 48
Calls

12 calls:

1.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
x.re
0
1.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
y.re
-inf
1.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
x.re
-inf
1.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
x.re
inf
1.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
y.re
inf

rewrite40.0ms (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

simplify29.0ms (1.2%)

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

prune27.0ms (1.1%)

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)

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)))

series16.0ms (0.6%)

Counts
1 → 48
Calls

12 calls:

6.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
x.im
0
1.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
x.im
inf
1.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
y.re
-inf
1.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
x.re
0
1.0ms
(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
x.re
-inf

rewrite67.0ms (2.7%)

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

simplify32.0ms (1.3%)

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

prune81.0ms (3.3%)

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)

localize8.0ms (0.3%)

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

12 calls:

1.0ms
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
x.re
-inf
1.0ms
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
y.re
-inf
1.0ms
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
x.im
inf
1.0ms
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
x.im
-inf
1.0ms
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
x.im
0

rewrite40.0ms (1.6%)

Algorithm
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
node limit
Counts
1 → 23

simplify30.0ms (1.2%)

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
71 → 27

prune9.0ms (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)

regimes101.0ms (4.1%)

Accuracy

Total 0.0b remaining (94.6%)

Threshold costs 0.0b (94.6%)

Counts
9 → 1
Compiler

Compiled 1074 to 708 computations (34.1% 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

end57.0ms (2.3%)

Stop Event
done
Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 88 to 56 computations (36.4% saved)

Profiling

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