Details

Time bar (total: 2.8s)

analyze301.0ms (10.6%)

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
9.4%90.4%0.2%10
14%85.8%0.2%11
18.7%76.8%4.5%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.7s (61.4%)

Results
1.4s8256×body256valid
264.0ms2131×body256invalid

preprocess35.0ms (1.2%)

Algorithm
egg-herbie
Rules
13×fma-def_binary64
*-commutative_binary64
+-commutative_binary64
swap-x.im-y.re
swap-x.re-y.im
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
13456
24056
044
144
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
1
3
0
Call 2
Inputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(+.f64 (*.f64 y.re y.im) (*.f64 x.im x.re))
(+.f64 (*.f64 y.im x.re) (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 y.im y.re))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Outputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(+.f64 (*.f64 y.re y.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 y.im y.re))
(+.f64 (*.f64 y.im x.re) (*.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 x.re x.im) (*.f64 y.im y.re))
(fma.f64 x.re x.im (*.f64 y.im y.re))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 x.re y.re (*.f64 y.im x.im))
Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.4%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2158
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Outputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))

eval1.0ms (0%)

Compiler

Compiled 17 to 8 computations (52.9% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x.re y.im (*.f64 x.im y.re))
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 21 to 13 computations (38.1% saved)

localize40.0ms (1.4%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 7 computations (66.7% saved)

series13.0ms (0.5%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x.im
@inf
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
1.0ms
x.re
@0
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
1.0ms
x.im
@0
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
1.0ms
x.re
@-inf
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
1.0ms
x.re
@inf
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

rewrite190.0ms (6.7%)

Algorithm
batch-egg-rewrite
Rules
903×pow1_binary64
833×add-log-exp_binary64
833×log1p-expm1-u_binary64
833×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11688
222708
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x.re y.im (*.f64 x.im y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x.re y.im) 2) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (/.f64 (pow.f64 (*.f64 x.im y.re) 2) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x.re y.im (*.f64 x.im y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) (pow.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) 2) (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (pow.f64 (*.f64 x.im y.re) 2)) (/.f64 1 (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (pow.f64 (*.f64 x.im y.re) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3)) (+.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3)) (+.f64 (pow.f64 (*.f64 x.im y.re) 2) (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (pow.f64 (*.f64 x.im y.re) 2)) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (pow.f64 (*.f64 x.im y.re) 2))) (neg.f64 (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) 2) (pow.f64 (*.f64 x.re y.im) 2)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x.re y.im (*.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y.im x.re (*.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x.im y.re (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y.re x.im (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x.re y.im) (*.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x.im y.re) (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) 2) (cbrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) 2) (cbrt.f64 (*.f64 x.re y.im)) (*.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x.re y.im)) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.im y.re))))))

simplify12.0ms (0.4%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09336
113336
215336
Stop Event
saturated
Counts
85 → 41
Calls
Call 1
Inputs
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
Outputs
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))

localize6.0ms (0.2%)

Compiler

Compiled 17 to 6 computations (64.7% saved)

eval55.0ms (2%)

Compiler

Compiled 558 to 171 computations (69.4% saved)

prune7.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done011
Total39443
Error
0b
Counts
43 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x.re y.im (*.f64 x.im y.re))
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
28.9b
(*.f64 x.re y.im)
32.5b
(*.f64 y.re x.im)
Compiler

Compiled 35 to 23 computations (34.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x.re y.im (*.f64 x.im y.re))
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
28.9b
(*.f64 x.re y.im)
32.5b
(*.f64 y.re x.im)
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes42.0ms (1.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x.re y.im)
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
Outputs
(fma.f64 x.re y.im (*.f64 x.im y.re))
Calls

8 calls:

5.0ms
(*.f64 x.re y.im)
5.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
4.0ms
y.re
4.0ms
x.re
4.0ms
(*.f64 x.re y.im)
Results
ErrorSegmentsBranch
0b1x.re
0b1x.im
0b1y.re
0b1y.im
0b1(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
0b1(*.f64 x.re y.im)
0b1(*.f64 x.re y.im)
0b1(*.f64 x.im y.re)
Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes78.0ms (2.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x.re y.im)
(*.f64 y.re x.im)
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Outputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Calls

7 calls:

50.0ms
x.im
8.0ms
(*.f64 x.im y.re)
4.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
4.0ms
(*.f64 x.re y.im)
4.0ms
x.re
Results
ErrorSegmentsBranch
0.0b1x.re
0.0b1x.im
0.0b1y.re
0.0b1y.im
0.0b1(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
0.0b1(*.f64 x.re y.im)
0.0b1(*.f64 x.im y.re)
Compiler

Compiled 62 to 41 computations (33.9% saved)

regimes162.0ms (5.7%)

Accuracy

Total -50.1b remaining (-466.3%)

Threshold costs -50.1b (-466.3%)

Counts
2 → 5
Calls
Call 1
Inputs
(*.f64 x.re y.im)
(*.f64 y.re x.im)
Outputs
(*.f64 x.re y.im)
(*.f64 y.re x.im)
(*.f64 x.re y.im)
(*.f64 y.re x.im)
(*.f64 x.re y.im)
Calls

5 calls:

96.0ms
y.re
22.0ms
x.im
19.0ms
(*.f64 x.re y.im)
14.0ms
y.im
9.0ms
x.re
Results
ErrorSegmentsBranch
18.1b3x.re
16.4b7x.im
18.9b5y.re
16.9b5y.im
10.7b5(*.f64 x.re y.im)
Compiler

Compiled 37 to 27 computations (27% saved)

bsearch76.0ms (2.7%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
3.43030409205135e-25
3.3555254537677304e-7
22.0ms
-3.7217522403737367e-90
-1.4466010728766925e-100
15.0ms
-8.305365627165174e-76
-2.599581044173535e-79
19.0ms
-3.5274714351582004e-31
-5.156702104978585e-32
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02378
12778
Stop Event
done
saturated
Calls
Call 1
Inputs
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(if (<=.f64 (*.f64 x.re y.im) -515540527812169984/1461501637330902918203684832716283019655932542976) (*.f64 x.re y.im) (if (<=.f64 (*.f64 x.re y.im) -6767331431658917/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 y.re x.im) (if (<=.f64 (*.f64 x.re y.im) -34143334449420452/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 x.re y.im) (if (<=.f64 (*.f64 x.re y.im) 7470540772491611/21778071482940061661655974875633165533184) (*.f64 y.re x.im) (*.f64 x.re y.im)))))
(*.f64 x.re y.im)
Outputs
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(if (<=.f64 (*.f64 x.re y.im) -515540527812169984/1461501637330902918203684832716283019655932542976) (*.f64 x.re y.im) (if (<=.f64 (*.f64 x.re y.im) -6767331431658917/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 y.re x.im) (if (<=.f64 (*.f64 x.re y.im) -34143334449420452/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 x.re y.im) (if (<=.f64 (*.f64 x.re y.im) 7470540772491611/21778071482940061661655974875633165533184) (*.f64 y.re x.im) (*.f64 x.re y.im)))))
(if (<=.f64 (*.f64 x.re y.im) -2013830186766289/5708990770823839524233143877797980545530986496) (*.f64 x.re y.im) (if (<=.f64 (*.f64 x.re y.im) -6767331431658917/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 x.im y.re) (if (<=.f64 (*.f64 x.re y.im) -8535833612355113/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (*.f64 x.re y.im) (if (<=.f64 (*.f64 x.re y.im) 7470540772491611/21778071482940061661655974875633165533184) (*.f64 x.im y.re) (*.f64 x.re y.im)))))
(*.f64 x.re y.im)
Compiler

Compiled 71 to 36 computations (49.3% saved)

soundness8.0ms (0.3%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2158
Stop Event
saturated
Compiler

Compiled 21 to 13 computations (38.1% saved)

end38.0ms (1.4%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 99 to 44 computations (55.6% saved)

Profiling

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