math.cos on complex, imaginary part

Time bar (total: 3.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-sin, time spent: 0.0ms, 0.0% of total-time
Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample2.8s (88.2%)

Results
802.0ms4062×256infinite
1.2s1631×1024valid
200.0ms1260×256valid
345.0ms1212×512valid
66.0ms90×2048valid
0.0ms1×256infinite
Precisions
Click to see histograms. Total time spent on operations: 1.8s
Operation ival-exp, time spent: 502.0ms, 29.0% of total-time
Operation ival-sin, time spent: 468.0ms, 27.0% of total-time
Operation ival-mult, time spent: 436.0ms, 25.0% of total-time
Operation ival-sub, time spent: 270.0ms, 15.0% of total-time
Operation ival-neg, time spent: 61.0ms, 3.0% of total-time
Operation const, time spent: 22.0ms, 1.0% of total-time
Bogosity

preprocess369.0ms (11.8%)

Algorithm
1×egg-herbie
Rules
1474×fma-neg
1322×fma-define
488×distribute-lft-in
438×distribute-rgt-in
398×associate-*r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032316
180308
2261308
3887304
42161294
53608294
64392294
74927294
85035294
95035294
105035294
115035294
125067294
135097294
145097294
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 im) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (sin.f64 im) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
Symmetry

(negabs re)

(negabs im)

Compiler

Compiled 37 to 14 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
Operation ival-exp, time spent: 18.0ms, 34.0% of total-time
Operation ival-sin, time spent: 16.0ms, 30.0% of total-time
Operation ival-mult, time spent: 13.0ms, 24.0% of total-time
Operation ival-sub, time spent: 3.0ms, 6.0% of total-time
Operation ival-neg, time spent: 2.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

end0.0ms (0%)

Profiling

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