math.exp on complex, real part

Time bar (total: 2.9s)

start0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 7 to 7 computations (0.0% saved)

sample1.0s (35.0%)

Memory
39.5MiB live, 1 835.5MiB allocated; 373ms collecting garbage
Samples
722.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 451.0ms
ival-cos: 286.0ms (63.4% of total)
ival-exp: 107.0ms (23.7% of total)
ival-mult!: 57.0ms (12.6% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess34.0ms (1.1%)

Memory
-11.2MiB live, 34.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01634
16032
224532
3134332
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0.0% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series11.0ms (0.4%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083250
Stop Event
iter-limit
Counts
5 → 18
Calls
Call 1
Inputs
re
(exp.f64 re)
im
(cos.f64 im)
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
#s(approx re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx im im)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
Calls

6 calls:

TimeVariablePoint
1.0ms
re
-inf
1.0ms
re
inf
0.0ms
im
-inf
0.0ms
im
inf
0.0ms
im
0

rewrite160.0ms (5.5%)

Memory
-21.0MiB live, 294.5MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
12211
212311
365711
0405811
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 259
Calls
Call 1
Inputs
re
(exp.f64 re)
im
(cos.f64 im)
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cosh.f64 re)) (sinh.f64 re))) (sinh.f64 re))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 re))) (sqrt.f64 (neg.f64 (exp.f64 re))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re))) (sinh.f64 re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(pow.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (cosh.f64 re) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (neg.f64 (sinh.f64 (neg.f64 re))))) (-.f64 (cosh.f64 re) (neg.f64 (sinh.f64 (neg.f64 re)))))
(/.f64 (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cosh.f64 re)))) (+.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sinh.f64 (neg.f64 re))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (neg.f64 (sinh.f64 (neg.f64 re)))) (*.f64 (cosh.f64 re) (neg.f64 (sinh.f64 (neg.f64 re)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 re)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (fma.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cosh.f64 re)) (*.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re))))))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(neg.f64 (neg.f64 (exp.f64 re)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))) (/.f64 (exp.f64 re) #s(literal 2 binary64)) (sinh.f64 re))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) #s(literal 1 binary64)) (cosh.f64 re))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (neg.f64 (sinh.f64 (neg.f64 re))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (sinh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64) (cosh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 re))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))
(-.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 re)) (sinh.f64 re)))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (neg.f64 re)))
(exp.f64 re)
(+.f64 (/.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 re))
(+.f64 (/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 re))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)))
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eval26.0ms (0.9%)

Memory
-4.2MiB live, 86.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 5 318 to 978 computations (81.6% saved)

prune7.0ms (0.3%)

Memory
-28.7MiB live, 24.5MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2694273
Fresh000
Picked101
Done-110
Total2695274
Accuracy
100.0%
Counts
274 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
64.2%
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
49.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
48.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 67 to 47 computations (29.9% saved)

sample0.0ms (0.0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1/2
2
0
Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series15.0ms (0.5%)

Memory
11.8MiB live, 57.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141448
Stop Event
iter-limit
Counts
26 → 31
Calls
Call 1
Inputs
re
im
(cos.f64 im)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(exp.f64 re)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
#s(literal 0 binary64)
(sin.f64 im)
(*.f64 #s(literal 0 binary64) (sin.f64 im))
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im))))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))))
Outputs
#s(approx re re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (+ 1 re) #s(literal 1 binary64))
#s(approx (+ 1 re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (exp re) (exp.f64 re))
#s(approx im im)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
#s(approx (+ 1 (* -1/2 (pow im 2))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
#s(approx (sin im) (sin.f64 im))
Calls

6 calls:

TimeVariablePoint
2.0ms
im
inf
1.0ms
im
0
1.0ms
im
-inf
1.0ms
re
-inf
1.0ms
re
inf

rewrite192.0ms (6.6%)

Memory
37.0MiB live, 489.3MiB allocated; 118ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029191
047106
1220102
291597
0406294
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 1 265
Calls
Call 1
Inputs
re
im
(cos.f64 im)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(exp.f64 re)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
#s(literal 0 binary64)
(sin.f64 im)
(*.f64 #s(literal 0 binary64) (sin.f64 im))
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im))))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))))
Outputs
re
im
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cos.f64 im))) (cos.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cos.f64 im))) (cos.f64 im))
(*.f64 (neg.f64 (cos.f64 im)) (/.f64 (neg.f64 (cos.f64 im)) (cos.f64 im)))
(*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (/.f64 #s(literal -1 binary64) (cos.f64 im)))
(*.f64 (fabs.f64 (cos.f64 im)) (copysign.f64 #s(literal 1 binary64) (cos.f64 im)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(*.f64 (cos.f64 im) (*.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (cos.f64 im))))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) #s(literal 0 binary64)) (neg.f64 (cos.f64 im)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (cos.f64 im)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (cos.f64 im) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (neg.f64 (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (cos.f64 im) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) #s(literal 2 binary64) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (cos.f64 im))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (cos.f64 im)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im))) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (fabs.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) im)) (cos.f64 (-.f64 (fabs.f64 im) im)))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 im (fabs.f64 im))) (cos.f64 (-.f64 im (fabs.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im)))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 im) (fabs.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (fabs.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 im) im)) (cos.f64 (-.f64 (neg.f64 im) im)))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im))) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (fabs.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
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(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
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(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) im)) (cos.f64 (-.f64 (fabs.f64 im) im))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
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(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
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(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) (fabs.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (fabs.f64 im)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
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(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (neg.f64 (cos.f64 im)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (fabs.f64 im)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) im)) (cos.f64 (-.f64 (fabs.f64 im) im))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 im (fabs.f64 im))) (cos.f64 (-.f64 im (fabs.f64 im)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
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(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) (fabs.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (fabs.f64 im)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) im)) (cos.f64 (-.f64 (neg.f64 im) im))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im))))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (fabs.f64 im))))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) im)) (cos.f64 (-.f64 (fabs.f64 im) im)))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im))))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 im (fabs.f64 im))) (cos.f64 (-.f64 im (fabs.f64 im))))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im)))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 im) (fabs.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (fabs.f64 im))))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 im) im)) (cos.f64 (-.f64 (neg.f64 im) im)))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (fabs.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (neg.f64 (cos.f64 im)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (cos.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 im)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(neg.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (/.f64 #s(literal 1 binary64) (cos.f64 im))))
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cos.f64 im))) (cos.f64 im) #s(literal 0 binary64))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (cos.f64 im))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cos.f64 im))) (cos.f64 im) #s(literal 0 binary64))
(fma.f64 (neg.f64 (cos.f64 im)) (/.f64 (neg.f64 (cos.f64 im)) (cos.f64 im)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (/.f64 #s(literal -1 binary64) (cos.f64 im)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (cos.f64 im)) (copysign.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (/.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 0 binary64))
(fma.f64 (cos.f64 im) (*.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (cos.f64 im))) #s(literal 0 binary64))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 im) #s(literal 0 binary64))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 im) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64)))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (cos.f64 im))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
(*.f64 (exp.f64 (+.f64 re #s(literal 0 binary64))) (cos.f64 im))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re)) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(*.f64 (cos.f64 im) (exp.f64 (+.f64 #s(literal 0 binary64) re)))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (exp.f64 re))) (cos.f64 im))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re)))) (cos.f64 im))
(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (exp.f64 re)) (neg.f64 (cos.f64 im)))
(/.f64 (*.f64 (exp.f64 re) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (neg.f64 (cos.f64 im)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re))) (neg.f64 (cos.f64 im)))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re)) (cos.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re)) (neg.f64 (cos.f64 im))))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))

eval104.0ms (3.5%)

Memory
20.3MiB live, 253.6MiB allocated; 68ms collecting garbage
Compiler

Compiled 30 919 to 3 819 computations (87.6% saved)

prune25.0ms (0.8%)

Memory
-21.4MiB live, 70.1MiB allocated; 9ms collecting garbage
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New83910849
Fresh000
Picked404
Done-231
Total84113854
Accuracy
100.0%
Counts
854 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
100.0%
(*.f64 (exp.f64 re) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
64.2%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
30.2%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
30.5%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
49.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
49.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
29.8%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
48.6%
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
48.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
32.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
31.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
Compiler

Compiled 354 to 270 computations (23.7% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
0
-1/2
(PI)
1/2
2
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 8 to 8 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series27.0ms (0.9%)

Memory
27.4MiB live, 73.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03191495
Stop Event
iter-limit
Counts
39 → 73
Calls
Call 1
Inputs
re
(exp.f64 re)
#s(literal 1 binary64)
im
(cos.f64 im)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
#s(literal 0 binary64)
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
(*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
(*.f64 im im)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) im)
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 im (PI.f64))
(+.f64 (+.f64 im (PI.f64)) (PI.f64))
(cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
Outputs
#s(approx re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (cos.f64 im))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (+ re re) (*.f64 #s(literal 2 binary64) re))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re)))))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) re)))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))))))))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp (+ re re)) (exp.f64 (*.f64 #s(literal 2 binary64) re)))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 re)))
#s(approx (exp (+ re re)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re)))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))))
#s(approx im im)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))))))))
#s(approx (+ im (PI)) (PI.f64))
#s(approx (+ im (PI)) (+.f64 im (PI.f64)))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (+ (+ im (PI)) (PI)) (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (cos (+ (+ im (PI)) (PI))) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 im (-.f64 (*.f64 im (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re)))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ im (PI)) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) im))))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#s(approx (+ im (PI)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (cos (+ (+ im (PI)) (PI))) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))) (exp.f64 re)))
Calls

6 calls:

TimeVariablePoint
4.0ms
im
inf
3.0ms
re
inf
2.0ms
im
-inf
2.0ms
re
-inf
2.0ms
im
0

rewrite242.0ms (8.3%)

Memory
-52.5MiB live, 395.0MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044290
074204
1355199
21554199
04721176
Stop Event
iter-limit
node-limit
iter-limit
Counts
39 → 698
Calls
Call 1
Inputs
re
(exp.f64 re)
#s(literal 1 binary64)
im
(cos.f64 im)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
#s(literal 0 binary64)
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
(*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
(*.f64 im im)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) im)
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 im (PI.f64))
(+.f64 (+.f64 im (PI.f64)) (PI.f64))
(cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
Outputs
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 re re)) #s(literal -1/2 binary64)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 re)
(+.f64 (cosh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(literal 1 binary64)
im
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))))))
(sin.f64 (+.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (cos.f64 im) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(fma.f64 (cos.f64 im) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 im)))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (fabs.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))))))
(sin.f64 (+.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (cos.f64 im) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(fma.f64 (cos.f64 im) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 im)))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (fabs.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))
(*.f64 (pow.f64 (cos.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (cos.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (fabs.f64 (cos.f64 im))) (fabs.f64 (fabs.f64 (cos.f64 im))))
(*.f64 (neg.f64 (fabs.f64 (cos.f64 im))) (neg.f64 (fabs.f64 (cos.f64 im))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1 binary64)) (pow.f64 (cos.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))
(*.f64 (fabs.f64 (cos.f64 im)) (fabs.f64 (cos.f64 im)))
(*.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cos.f64 im)))
(*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (neg.f64 (cos.f64 im))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (cos.f64 im))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (fabs.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (cos.f64 im) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) im)) (neg.f64 (+.f64 (PI.f64) im)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) im)) (neg.f64 (+.f64 (PI.f64) im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) im)) (fabs.f64 (+.f64 (PI.f64) im)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) im)) (fabs.f64 (+.f64 (PI.f64) im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) im)) (+.f64 (neg.f64 im) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) im)) (+.f64 (neg.f64 im) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) im)) (+.f64 (fabs.f64 im) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) im)) (+.f64 (fabs.f64 im) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) im)) (+.f64 (PI.f64) im))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) im)) (+.f64 (PI.f64) im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) im)) (neg.f64 (+.f64 (PI.f64) im)))) (cos.f64 (-.f64 (fabs.f64 (+.f64 (PI.f64) im)) (neg.f64 (+.f64 (PI.f64) im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) im)) (fabs.f64 (+.f64 (PI.f64) im)))) (cos.f64 (-.f64 (fabs.f64 (+.f64 (PI.f64) im)) (fabs.f64 (+.f64 (PI.f64) im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (-.f64 (fabs.f64 (+.f64 (PI.f64) im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) im)) (+.f64 (neg.f64 im) (PI.f64)))) (cos.f64 (-.f64 (fabs.f64 (+.f64 (PI.f64) im)) (+.f64 (neg.f64 im) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) im)) (+.f64 (fabs.f64 im) (PI.f64)))) (cos.f64 (-.f64 (fabs.f64 (+.f64 (PI.f64) im)) (+.f64 (fabs.f64 im) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) im)) (+.f64 (PI.f64) im))) (cos.f64 (-.f64 (fabs.f64 (+.f64 (PI.f64) im)) (+.f64 (PI.f64) im)))) #s(literal 2 binary64))
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(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) im) im) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) im) im) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))
#s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(fma.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) (cosh.f64 re) (*.f64 #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) (sinh.f64 re)))
(+.f64 (*.f64 #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) (cosh.f64 re)) (*.f64 #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (+.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 re re (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 #s(literal 1 binary64) (neg.f64 re)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(neg.f64 (-.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 re))
(-.f64 re #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 re)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im (PI.f64))) (PI.f64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) im)) im)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) im)) im)
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 im im)) (-.f64 (PI.f64) im))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 im im) (*.f64 (PI.f64) im))))
(/.f64 (-.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (fma.f64 im im (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 im (neg.f64 (PI.f64))))))
(/.f64 (-.f64 (*.f64 im im) (*.f64 (PI.f64) (PI.f64))) (+.f64 im (neg.f64 (PI.f64))))
(/.f64 (-.f64 (*.f64 im im) (*.f64 (PI.f64) (PI.f64))) (-.f64 im (PI.f64)))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 im im (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 im (PI.f64)))))
(neg.f64 (-.f64 (neg.f64 (PI.f64)) im))
(-.f64 (PI.f64) (neg.f64 im))
(-.f64 im (neg.f64 (PI.f64)))
(+.f64 (PI.f64) im)
(+.f64 im (neg.f64 (neg.f64 (PI.f64))))
(+.f64 im (PI.f64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (PI.f64) im) (PI.f64))) (PI.f64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (PI.f64) (PI.f64)) im)) im)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (+.f64 (PI.f64) im))) (+.f64 (PI.f64) im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (+.f64 (PI.f64) im))) (+.f64 (PI.f64) im))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im))) (-.f64 (PI.f64) (+.f64 (PI.f64) im)))
(/.f64 (-.f64 (*.f64 im im) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 im (+.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (+.f64 (PI.f64) im) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) im) (PI.f64)))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (+.f64 (PI.f64) im) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im)) (*.f64 (PI.f64) (+.f64 (PI.f64) im)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 im im (-.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (*.f64 im (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) im) (neg.f64 (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) im) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) im) (PI.f64)))))
(neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) im)
(fma.f64 (cbrt.f64 (PI.f64)) (+.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) im)
(fma.f64 #s(literal 2 binary64) (PI.f64) im)
(-.f64 (+.f64 (PI.f64) im) (neg.f64 (PI.f64)))
(-.f64 (PI.f64) (neg.f64 (+.f64 (PI.f64) im)))
(-.f64 im (-.f64 (neg.f64 (PI.f64)) (PI.f64)))
(-.f64 im (+.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(-.f64 im (neg.f64 (+.f64 (PI.f64) (PI.f64))))
(+.f64 (+.f64 (PI.f64) (PI.f64)) im)
(+.f64 (+.f64 (PI.f64) im) (neg.f64 (neg.f64 (PI.f64))))
(+.f64 (+.f64 (PI.f64) im) (PI.f64))
(+.f64 (PI.f64) (+.f64 (PI.f64) im))
(+.f64 im (+.f64 (PI.f64) (PI.f64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))))) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)))) (*.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (fma.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))))
(neg.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)))))
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (PI.f64) im)))
(fma.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)) (neg.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 im)) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (*.f64 (cos.f64 im) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (sin.f64 im) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im))))
(cos.f64 (fabs.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im))))
(cos.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)))
(cos.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)))
(cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im))
(+.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (neg.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (sin.f64 im)) (sin.f64 (neg.f64 (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (cos.f64 im))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (neg.f64 (neg.f64 (cos.f64 im))))
(neg.f64 (*.f64 (neg.f64 (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (neg.f64 (cos.f64 im))))

eval122.0ms (4.2%)

Memory
53.9MiB live, 234.0MiB allocated; 75ms collecting garbage
Compiler

Compiled 24 914 to 3 739 computations (85.0% saved)

prune38.0ms (1.3%)

Memory
-5.7MiB live, 40.5MiB allocated; 10ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New6566662
Fresh415
Picked505
Done-253
Total66312675
Accuracy
100.0%
Counts
675 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
99.7%
(*.f64 (exp.f64 re) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
64.2%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
30.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
49.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
32.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
31.3%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.8%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
29.5%
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
48.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
32.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
Compiler

Compiled 311 to 238 computations (23.5% saved)

sample0.0ms (0.0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
2
0
1
-1/2
(PI)
(* 1/2 (PI))
Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 884279719003555/562949953421312 binary64)
Samples
0.0ms0valid
Compiler

Compiled 11 to 9 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series72.0ms (2.5%)

Memory
2.6MiB live, 94.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03171484
Stop Event
iter-limit
Counts
36 → 68
Calls
Call 1
Inputs
re
(exp.f64 re)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
im
(*.f64 #s(literal 2 binary64) im)
(cos.f64 (*.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))
#s(literal 0 binary64)
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
(*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(cos.f64 im)
(-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
#s(literal 1 binary64)
#s(approx (exp re) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Outputs
#s(approx re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (cos.f64 im)))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (cos.f64 im))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (cos.f64 im))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (+ re re) (*.f64 #s(literal 2 binary64) re))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re)))))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) re)))))))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (exp (+ re re)) (exp.f64 (*.f64 #s(literal 2 binary64) re)))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))
#s(approx (exp (+ re re)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re)))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))))
#s(approx im im)
#s(approx (* 2 im) (*.f64 #s(literal 2 binary64) im))
#s(approx (cos (* 2 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos (* 2 im)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(approx (cos (* 2 im)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos (* 2 im))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos (* 2 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (cos (* 2 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 re)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))))) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/45 binary64) (exp.f64 re)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 re)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))) (fma.f64 #s(literal -1/720 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))))))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))))) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))))))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))))))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (cos (* 2 im)) (cos.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (* 1/2 (cos (* 2 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
Calls

6 calls:

TimeVariablePoint
44.0ms
im
-inf
5.0ms
re
inf
4.0ms
im
0
3.0ms
im
inf
3.0ms
re
-inf

rewrite233.0ms (8.0%)

Memory
-5.5MiB live, 395.0MiB allocated; 131ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044276
069217
1275210
21231210
04483207
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 653
Calls
Call 1
Inputs
re
(exp.f64 re)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
im
(*.f64 #s(literal 2 binary64) im)
(cos.f64 (*.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))
#s(literal 0 binary64)
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
(*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(cos.f64 im)
(-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
#s(literal 1 binary64)
#s(approx (exp re) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Outputs
re
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 re))) (sqrt.f64 (neg.f64 (exp.f64 re))))
(*.f64 (exp.f64 (/.f64 re #s(literal 2 binary64))) (exp.f64 (/.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 re #s(literal 2 binary64)))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
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(/.f64 (-.f64 (pow.f64 (cosh.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (+.f64 re re))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 re re)) (cosh.f64 (+.f64 re re)) (fma.f64 (sinh.f64 (neg.f64 (+.f64 re re))) (sinh.f64 (neg.f64 (+.f64 re re))) (*.f64 (cosh.f64 (+.f64 re re)) (sinh.f64 (neg.f64 (+.f64 re re)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 re re)) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 re re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 re re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 re re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 re re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 re re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 re re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 re re))))) #s(literal 4 binary64))
(/.f64 (pow.f64 (exp.f64 re) #s(literal 1 binary64)) (pow.f64 (exp.f64 re) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 re re)) (cosh.f64 (+.f64 re re))) (*.f64 (sinh.f64 (+.f64 re re)) (sinh.f64 (+.f64 re re)))) (exp.f64 (neg.f64 (+.f64 re re))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 re re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 re re)) (cosh.f64 (+.f64 re re)) (-.f64 (*.f64 (sinh.f64 (+.f64 re re)) (sinh.f64 (+.f64 re re))) (*.f64 (cosh.f64 (+.f64 re re)) (sinh.f64 (+.f64 re re))))))
(/.f64 (neg.f64 (exp.f64 re)) (neg.f64 (exp.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 re) re)))
(/.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))
(fma.f64 (cosh.f64 re) (exp.f64 re) (*.f64 (sinh.f64 re) (exp.f64 re)))
(fma.f64 (exp.f64 re) (cosh.f64 re) (*.f64 (exp.f64 re) (sinh.f64 re)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cosh.f64 re)) (cosh.f64 (+.f64 re re)))
(-.f64 (/.f64 (cosh.f64 re) (exp.f64 (neg.f64 re))) (/.f64 (sinh.f64 (neg.f64 re)) (exp.f64 (neg.f64 re))))
(-.f64 (cosh.f64 (+.f64 re re)) (sinh.f64 (-.f64 (neg.f64 re) re)))
(-.f64 (cosh.f64 (+.f64 re re)) (sinh.f64 (neg.f64 (+.f64 re re))))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 (+.f64 re re))) (cosh.f64 (+.f64 re re))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 (+.f64 re re)))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 re)) (exp.f64 re)))
(fabs.f64 (*.f64 (exp.f64 re) (neg.f64 (exp.f64 re))))
(fabs.f64 (neg.f64 (exp.f64 (+.f64 re re))))
(fabs.f64 (exp.f64 (+.f64 re re)))
(exp.f64 (fma.f64 (+.f64 re re) #s(literal 1/2 binary64) (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (+.f64 re re) #s(literal 1/2 binary64) re))
(exp.f64 (+.f64 re (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)))
(exp.f64 (*.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) re))
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal 2 binary64)))
(exp.f64 (+.f64 re re))
(+.f64 (/.f64 (cosh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 re))) (/.f64 (sinh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 re))))
(+.f64 (/.f64 (sinh.f64 re) (exp.f64 (neg.f64 re))) (/.f64 (cosh.f64 re) (exp.f64 (neg.f64 re))))
(+.f64 (/.f64 (cosh.f64 re) (exp.f64 (neg.f64 re))) (/.f64 (sinh.f64 re) (exp.f64 (neg.f64 re))))
(+.f64 (*.f64 (exp.f64 re) (cosh.f64 re)) (*.f64 (exp.f64 re) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (exp.f64 re)) (*.f64 (sinh.f64 re) (exp.f64 re)))
(+.f64 (sinh.f64 (+.f64 re re)) (cosh.f64 (+.f64 re re)))
(+.f64 (cosh.f64 (+.f64 re re)) (sinh.f64 (+.f64 re re)))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 re))) (sqrt.f64 (neg.f64 (exp.f64 re))))
(*.f64 (exp.f64 (/.f64 re #s(literal 2 binary64))) (exp.f64 (/.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 re #s(literal 2 binary64)))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (cosh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))) (*.f64 (cosh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (exp.f64 (/.f64 re #s(literal 2 binary64))) (exp.f64 (/.f64 (neg.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 re re)) #s(literal -1/2 binary64)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 re))))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 re)
(+.f64 (cosh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(PI.f64)
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(log.f64 (sqrt.f64 (exp.f64 (PI.f64))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))

eval88.0ms (3.0%)

Memory
-3.9MiB live, 183.8MiB allocated; 18ms collecting garbage
Compiler

Compiled 29 937 to 3 809 computations (87.3% saved)

prune26.0ms (0.9%)

Memory
4.9MiB live, 53.4MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New7827789
Fresh022
Picked505
Done-385
Total78417801
Accuracy
100.0%
Counts
801 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (exp.f64 re))
64.2%
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
64.2%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
30.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
49.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
32.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
32.0%
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
31.3%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
32.0%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
0.0%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
31.3%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
19.9%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))))
29.8%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
29.5%
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) #s(literal 884279719003555/562949953421312 binary64))))
48.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
32.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
Compiler

Compiled 270 to 206 computations (23.7% saved)

regimes335.0ms (11.5%)

Memory
-29.7MiB live, 301.2MiB allocated; 27ms collecting garbage
Counts
1 → 1
4 → 1
7 → 1
10 → 1
16 → 3
23 → 3
28 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 2
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 3
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 4
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 5
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
Outputs
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 6
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
Outputs
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 7
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (exp.f64 re))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
(*.f64 (exp.f64 re) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

32 calls:

137.0ms
(exp.f64 re)
48.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
29.0ms
re
10.0ms
im
8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
31.3%1im
31.3%1(exp.f64 re)
31.3%1re
31.3%1(*.f64 (exp.f64 re) (cos.f64 im))
31.3%1(cos.f64 im)
32.0%1im
32.0%1re
32.0%1(cos.f64 im)
32.0%1(*.f64 (exp.f64 re) (cos.f64 im))
32.0%1(exp.f64 re)
64.2%1im
64.2%1re
64.2%1(cos.f64 im)
64.2%1(exp.f64 re)
64.2%1(*.f64 (exp.f64 re) (cos.f64 im))
64.2%1(cos.f64 im)
64.2%1im
64.2%1(*.f64 (exp.f64 re) (cos.f64 im))
64.2%1(exp.f64 re)
64.2%1re
85.2%3(exp.f64 re)
85.2%3re
75.8%2(cos.f64 im)
85.4%3(exp.f64 re)
85.4%5(*.f64 (exp.f64 re) (cos.f64 im))
85.4%3re
76.5%2im
100.0%1(cos.f64 im)
100.0%1(exp.f64 re)
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1re
100.0%1im
Compiler

Compiled 556 to 231 computations (58.5% saved)

bsearch34.0ms (1.2%)

Memory
-15.1MiB live, 45.6MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
3.2440563266704977e-18
2.839811890838854e-13
13.0ms
-661.3222749380583
-0.0024612420725608985
Samples
15.0ms288×0valid
Compiler

Compiled 413 to 388 computations (6.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 6.0ms (63.9% of total)
ival-exp: 2.0ms (21.3% of total)
ival-mult!: 1.0ms (10.6% of total)
adjust: 0.0ms (0.0% of total)

bsearch17.0ms (0.6%)

Memory
41.3MiB live, 41.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.2440563266704977e-18
2.839811890838854e-13
14.0ms
-2.7023225325154083e-8
-2.503866509932863e-19
Samples
8.0ms160×0valid
Compiler

Compiled 418 to 391 computations (6.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (61.5% of total)
ival-exp: 1.0ms (20.5% of total)
ival-mult!: 1.0ms (20.5% of total)
adjust: 0.0ms (0.0% of total)

derivations32.0ms (1.1%)

Memory
-23.3MiB live, 23.5MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 149 to 35 computations (76.5% saved)

preprocess60.0ms (2.0%)

Memory
-4.1MiB live, 139.6MiB allocated; 11ms collecting garbage
Compiler

Compiled 452 to 238 computations (47.3% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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