math.exp on complex, real part

Time bar (total: 2.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample884.0ms (37.1%)

Memory
0.1MiB live, 1 159.0MiB allocated; 313ms collecting garbage
Samples
635.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 427.0ms
ival-cos: 306.0ms (71.6% of total)
ival-exp: 78.0ms (18.3% of total)
ival-mult!: 42.0ms (9.8% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess38.0ms (1.6%)

Memory
-11.9MiB live, 33.7MiB 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% saved)

series11.0ms (0.5%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083250
Stop Event
iter-limit
Counts
5 → 18
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
#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) #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 re re)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#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 (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 im im)
Calls

6 calls:

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

rewrite121.0ms (5.1%)

Memory
4.9MiB live, 256.7MiB allocated; 34ms 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
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))))) (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))) (*.f64 (sinh.f64 re) (cos.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (*.f64 (cosh.f64 re) (cos.f64 im)))) (*.f64 (cosh.f64 re) (cos.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))) (*.f64 (cosh.f64 re) (cos.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) (*.f64 (cosh.f64 re) (cos.f64 im)))) (*.f64 (cosh.f64 re) (cos.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))) (*.f64 (cosh.f64 re) (cos.f64 im)))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64)))) (*.f64 (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))) (-.f64 (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re))) (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))) (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))))
(/.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))) (-.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))) (*.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)))) (+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))) (*.f64 (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))) (+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))) (*.f64 (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im))))) (+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (*.f64 (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))) (*.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)) (-.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))) (*.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)) (fma.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)) (fma.f64 (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)) (fma.f64 (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im)))))))
(/.f64 (fma.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))) (*.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))) (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)) (-.f64 (*.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1 binary64)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(fma.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 re) (cos.f64 im)))
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(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im)))) #s(literal 2 binary64))
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(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))))) #s(literal 4 binary64))
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(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))))) #s(literal 4 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
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(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im))))
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(cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
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(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
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(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
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im

eval32.0ms (1.4%)

Memory
-16.6MiB live, 79.5MiB allocated; 14ms collecting garbage
Compiler

Compiled 5 313 to 977 computations (81.6% saved)

prune5.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2693272
Fresh000
Picked011
Done000
Total2694273
Accuracy
100.0%
Counts
273 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
57.8%
(*.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))))))
55.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
54.7%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 35 to 32 computations (8.6% saved)

series12.0ms (0.5%)

Memory
-15.9MiB live, 29.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093298
Stop Event
iter-limit
Counts
16 → 22
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.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))))))
(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) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#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) #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 re re)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#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 (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 im im)
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 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))))
Calls

6 calls:

TimeVariablePoint
4.0ms
im
inf
1.0ms
im
-inf
1.0ms
im
0
1.0ms
re
inf
1.0ms
re
-inf

rewrite137.0ms (5.7%)

Memory
2.5MiB live, 193.1MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
02873
19473
231273
3117873
0402570
Stop Event
iter-limit
node-limit
iter-limit
Counts
16 → 299
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.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))))))
(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) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(-.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.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 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
im
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(*.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 (fma.f64 (fma.f64 re #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (fma.f64 re #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 re #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 re #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 re #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 re #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 re re (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 re #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 #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 (-.f64 re #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 re)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
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(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 1 binary64)))) #s(literal 8 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 im im)))) #s(literal 8 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (*.f64 im im))) #s(literal 8 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 im im) #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 im im)))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 im im))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 im im) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 im im)))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 im im))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 im im)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 im)) (fabs.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im) #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 (*.f64 im 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 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 im)) (fabs.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im))
(*.f64 (*.f64 #s(literal -1/2 binary64) im) im)
(*.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(*.f64 im (*.f64 #s(literal -1/2 binary64) im))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (*.f64 im im) (pow.f64 (neg.f64 im) #s(literal 0 binary64)))
(*.f64 (*.f64 im im) (pow.f64 (fabs.f64 im) #s(literal 0 binary64)))
(*.f64 (*.f64 im im) (pow.f64 im #s(literal 0 binary64)))
(*.f64 im im)
(pow.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 im)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 im)) im))
(fabs.f64 (*.f64 (neg.f64 im) (neg.f64 (fabs.f64 im))))
(fabs.f64 (*.f64 im (neg.f64 (fabs.f64 im))))
(fabs.f64 (*.f64 (fabs.f64 im) (neg.f64 im)))
(fabs.f64 (*.f64 (neg.f64 im) (fabs.f64 im)))
(fabs.f64 (*.f64 im (fabs.f64 im)))
(fabs.f64 (*.f64 (fabs.f64 im) im))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(literal 2 binary64)

eval70.0ms (2.9%)

Memory
-15.1MiB live, 82.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 7 118 to 1 339 computations (81.2% saved)

prune12.0ms (0.5%)

Memory
40.8MiB live, 40.9MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New3539362
Fresh000
Picked213
Done011
Total35511366
Accuracy
100.0%
Counts
366 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
57.8%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
57.8%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
55.7%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
29.6%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
29.6%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
54.7%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
30.0%
#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))))))
29.3%
#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 251 to 214 computations (14.7% saved)

series17.0ms (0.7%)

Memory
-11.0MiB live, 35.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191779
Stop Event
iter-limit
Counts
31 → 49
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
#s(literal -1/2 binary64)
im
#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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
#s(literal 1/2 binary64)
(PI.f64)
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))
(neg.f64 im)
#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))))))
#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(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 (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)))
(pow.f64 im #s(literal 2 binary64))
#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(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal 1/24 binary64)
Outputs
#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) #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 re re)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#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 (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 (* -1/2 im) (*.f64 #s(literal -1/2 binary64) im))
#s(approx im im)
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) 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 (+ (* 1/2 (PI)) 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 (+ (* 1/2 (PI)) 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 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) (neg im))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* 1/2 (PI)) (neg im))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1 binary64) (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 (+ (* 1/2 (PI)) (neg im))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1 binary64) (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 (PI)) (neg im)) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.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 (- (* 1/24 (pow im 2)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (pow im 2)) 1/2) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (pow im 2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* -1/2 im) im) 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 (sin (+ (* 1/2 (PI)) im)) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (sin (+ (* 1/2 (PI)) (neg im))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
#s(approx (+ (* 1/2 (PI)) (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64))))
#s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (- (* 1/24 (pow im 2)) 1/2) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#s(approx (+ (* 1/2 (PI)) 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 (+ (* 1/2 (PI)) (neg im))) (sin.f64 (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/2 (PI)) (neg im)) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im))))))
Calls

6 calls:

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

rewrite158.0ms (6.6%)

Memory
-9.5MiB live, 223.8MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034192
055190
1224178
2737178
33552178
04247170
Stop Event
iter-limit
node-limit
iter-limit
Counts
31 → 571
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
#s(literal -1/2 binary64)
im
#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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
#s(literal 1/2 binary64)
(PI.f64)
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))
(neg.f64 im)
#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))))))
#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(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 (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)))
(pow.f64 im #s(literal 2 binary64))
#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(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal 1/24 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))) (*.f64 (cosh.f64 re) #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))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))) (*.f64 (*.f64 (sinh.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 (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 (pow.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 (sinh.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 (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 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) (*.f64 (cosh.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))) (sinh.f64 re) (*.f64 (cosh.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 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (*.f64 (neg.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 (neg.f64 re)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (neg.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))))
(+.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(+.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 (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 re re)) #s(literal 1/2 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)))))
(neg.f64 (neg.f64 (exp.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))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(-.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (neg.f64 (neg.f64 re)))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (neg.f64 (sinh.f64 (neg.f64 re))))
(+.f64 (cosh.f64 re) (sinh.f64 re))
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 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (-.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 im)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 im)) (neg.f64 im) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) (fabs.f64 im) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 im) (*.f64 #s(literal 1/24 binary64) (neg.f64 im)) #s(literal -1/2 binary64))
(fma.f64 im (*.f64 #s(literal 1/24 binary64) im) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 im im)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 im)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal 1/24 binary64) im) im)
(*.f64 (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) (fabs.f64 im))
(*.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal 1/24 binary64)))
(*.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(*.f64 (neg.f64 im) (*.f64 #s(literal 1/24 binary64) (neg.f64 im)))
(*.f64 im (*.f64 #s(literal 1/24 binary64) im))
(neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)))
#s(literal 1/24 binary64)

eval70.0ms (3%)

Memory
-2.4MiB live, 176.9MiB allocated; 47ms collecting garbage
Compiler

Compiled 11 588 to 2 100 computations (81.9% saved)

prune21.0ms (0.9%)

Memory
15.3MiB live, 59.7MiB allocated; 7ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New5029511
Fresh134
Picked325
Done022
Total50616522
Accuracy
100.0%
Counts
522 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
57.8%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
55.7%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
29.6%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
29.6%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
31.1%
(*.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))))
29.3%
(*.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))))
29.3%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
54.7%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
30.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
30.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
27.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
27.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
15.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
Compiler

Compiled 448 to 342 computations (23.7% saved)

series23.0ms (1%)

Memory
-6.4MiB live, 49.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127448
Stop Event
iter-limit
Counts
30 → 32
Calls
Call 1
Inputs
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(cos.f64 im)
im
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
re
#s(literal -1 binary64)
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
#s(literal -1/2 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))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) 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)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(*.f64 (*.f64 im im) im)
(*.f64 #s(literal 1/24 binary64) im)
Outputs
#s(approx (* (cos im) (exp re)) (cos.f64 im))
#s(approx (* (cos im) (exp re)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (cos im) (exp re)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (cos im) (exp re)) (+.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) #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 re re)
#s(approx (* (cos im) (exp re)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (- re -1) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (cos im) (exp re)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (cos im) (exp re)) (+.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 (* (cos im) (exp re)) (+.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 (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 im im)
#s(approx (* -1/2 im) (*.f64 #s(literal -1/2 binary64) im))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/24 (* im im)) -1/2) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* im im) im) (pow.f64 im #s(literal 3 binary64)))
#s(approx (* 1/24 im) (*.f64 #s(literal 1/24 binary64) im))
#s(approx (+ (* (* -1/2 im) im) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* -1/2 im) im) 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 (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
Calls

6 calls:

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

rewrite157.0ms (6.6%)

Memory
15.3MiB live, 248.8MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033221
054207
1223207
2644207
32588207
04301207
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 511
Calls
Call 1
Inputs
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(cos.f64 im)
im
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
re
#s(literal -1 binary64)
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
#s(literal -1/2 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))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) 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)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(*.f64 (*.f64 im im) im)
(*.f64 #s(literal 1/24 binary64) im)
Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (cos.f64 im) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (cos.f64 im) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64)))) (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64))))))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
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eval72.0ms (3%)

Memory
-4.6MiB live, 191.4MiB allocated; 37ms collecting garbage
Compiler

Compiled 13 708 to 2 232 computations (83.7% saved)

prune24.0ms (1%)

Memory
-7.5MiB live, 83.3MiB allocated; 8ms collecting garbage
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New50713520
Fresh437
Picked145
Done044
Total51224536
Accuracy
100.0%
Counts
536 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.6%
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
29.6%
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
57.8%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
55.7%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
31.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
31.1%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
0.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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))))
31.1%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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))))
29.3%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
54.7%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
30.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
30.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
30.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
27.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
27.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
0.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
30.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (neg.f64 im) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 im im) im)) (*.f64 #s(literal -1/2 binary64) im)) #s(literal 1 binary64))))
27.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
29.9%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im im) #s(literal 1 binary64))))
29.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
15.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
Compiler

Compiled 428 to 327 computations (23.6% saved)

regimes243.0ms (10.2%)

Memory
41.5MiB live, 412.5MiB allocated; 68ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 1
5 → 1
8 → 2
11 → 3
20 → 1
25 → 3
34 → 3
35 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Call 2
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))
Outputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
Call 3
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))
Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
Call 4
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
Call 5
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (neg.f64 im) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 im im) im)) (*.f64 #s(literal -1/2 binary64) im)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
Call 6
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (neg.f64 im) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 im im) im)) (*.f64 #s(literal -1/2 binary64) im)) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #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 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
Call 7
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (neg.f64 im) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 im im) im)) (*.f64 #s(literal -1/2 binary64) im)) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #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 (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))
(*.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)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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 8
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (neg.f64 im) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 im im) im)) (*.f64 #s(literal -1/2 binary64) im)) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #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 (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))
(*.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)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #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))))
Call 9
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (neg.f64 im) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 im im) im)) (*.f64 #s(literal -1/2 binary64) im)) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #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 (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))
(*.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)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) im) (*.f64 #s(literal 1/24 binary64) im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

38 calls:

26.0ms
(cos.f64 im)
19.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
18.0ms
re
15.0ms
im
11.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
29.3%1(exp.f64 re)
29.3%1(*.f64 (exp.f64 re) (cos.f64 im))
29.3%1im
29.3%1re
29.3%1(cos.f64 im)
29.3%1im
29.3%1(exp.f64 re)
29.3%1re
29.3%1(*.f64 (exp.f64 re) (cos.f64 im))
29.3%1(cos.f64 im)
31.1%1(*.f64 (exp.f64 re) (cos.f64 im))
31.1%1(cos.f64 im)
35.6%2(cos.f64 im)
31.1%1(exp.f64 re)
31.1%1re
35.6%2(*.f64 (exp.f64 re) (cos.f64 im))
31.1%1im
35.6%2(cos.f64 im)
40.3%2(exp.f64 re)
44.7%3(*.f64 (exp.f64 re) (cos.f64 im))
40.3%2re
57.8%1(cos.f64 im)
57.8%1im
57.8%1(*.f64 (exp.f64 re) (cos.f64 im))
57.8%1(exp.f64 re)
57.8%1re
86.3%3(exp.f64 re)
86.4%3re
76.4%2(cos.f64 im)
86.7%3(exp.f64 re)
86.7%5(*.f64 (exp.f64 re) (cos.f64 im))
86.8%3re
77.2%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 681 to 265 computations (61.1% saved)

bsearch27.0ms (1.1%)

Memory
-10.3MiB live, 39.5MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.044881103252337e+24
1.9516555130282914e+26
15.0ms
-9.403111819873778e-7
-1.0169369053120216e-8
Samples
17.0ms224×0valid
Compiler

Compiled 302 to 290 computations (4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 6.0ms (48.3% of total)
ival-cos: 5.0ms (40.2% of total)
ival-mult!: 1.0ms (8% of total)
adjust: 0.0ms (0% of total)

bsearch8.0ms (0.3%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.044881103252337e+24
1.9516555130282914e+26
7.0ms
-9.403111819873778e-7
-1.0169369053120216e-8
Samples
4.0ms64×0valid
Compiler

Compiled 288 to 276 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-cos: 2.0ms (78% of total)
ival-exp: 1.0ms (39% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.03264169824211938
0.0ms
-0.04281308004901162
-3.5948125695433345e-35
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04281308004901162
-0.016966094955550782
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations90.0ms (3.8%)

Memory
-2.1MiB live, 132.0MiB allocated; 10ms collecting garbage
Stop Event
fuel
Compiler

Compiled 272 to 73 computations (73.2% saved)

preprocess152.0ms (6.4%)

Memory
-44.7MiB live, 163.3MiB allocated; 126ms collecting garbage
Remove

(abs im)

Compiler

Compiled 821 to 430 computations (47.6% saved)

end0.0ms (0%)

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

Profiling

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