math.exp on complex, real part

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample891.0ms (43.4%)

Memory
-1.4MiB live, 1 627.0MiB allocated; 317ms collecting garbage
Samples
628.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 449.0ms
ival-cos: 285.0ms (63.5% of total)
ival-exp: 122.0ms (27.2% of total)
ival-mult!: 41.0ms (9.1% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess41.0ms (2%)

Memory
-49.5MiB live, 65.4MiB allocated; 13ms 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)

series8.0ms (0.4%)

Memory
23.9MiB live, 23.9MiB 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
im
0

rewrite51.0ms (2.5%)

Memory
-2.9MiB live, 88.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
12211
212211
0115111
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
5 → 93
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
(*.f64 (*.f64 (cos.f64 im) (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))) (cosh.f64 re))
(*.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 (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (cos.f64 im)) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re))))
(/.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))))))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 (neg.f64 re)))
(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) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.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 (cosh.f64 re) (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)))
(-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (neg.f64 (*.f64 (sinh.f64 re) (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 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(+.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(*.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 (fabs.f64 (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))) (fabs.f64 (cosh.f64 re)))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)) (cosh.f64 re))
(*.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re)))))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(*.f64 (cosh.f64 re) (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 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 (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 re) (sinh.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 (neg.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re)))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (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 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re))) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.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 (/.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (exp.f64 (neg.f64 re))) (/.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (exp.f64 (neg.f64 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 re)
(+.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re)))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cosh.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
(*.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 (-.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)))) (-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(/.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))))))
(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 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 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.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 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(-.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) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 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 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 (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

eval18.0ms (0.9%)

Memory
-3.6MiB live, 46.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 596 to 372 computations (76.7% saved)

prune4.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1015106
Fresh000
Picked011
Done000
Total1016107
Accuracy
100.0%
Counts
107 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 (neg.f64 re)))
57.0%
(*.f64 (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.4%
(*.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))))))
57.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
56.2%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 107 to 95 computations (11.2% saved)

series42.0ms (2%)

Memory
-23.1MiB live, 111.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03091581
Stop Event
iter-limit
Counts
26 → 63
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 (neg.f64 re)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
#s(literal 1 binary64)
(cos.f64 im)
im
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
#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))))))
(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)
(*.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)
(*.f64 (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))
(/.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
(cosh.f64 re)
(*.f64 (cosh.f64 re) (cos.f64 im))
Outputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (cos.f64 im))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (+.f64 (cos.f64 im) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 re (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))) (*.f64 #s(literal -1 binary64) (cos.f64 im))))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (+.f64 (cos.f64 im) (*.f64 re (-.f64 (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (cos.f64 im) (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal -1/6 binary64) (cos.f64 im)))))) (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))) (*.f64 #s(literal -1 binary64) (cos.f64 im))))))
#s(approx (exp (neg re)) #s(literal 1 binary64))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))) #s(literal 1 binary64)))))
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx re re)
#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) (+.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 (+ (/ (sinh re) (cosh re)) 1) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (+ (/ (sinh re) (cosh re)) 1) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))
#s(approx (/ (sinh re) (cosh re)) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (/ (sinh re) (cosh re)) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (sinh re) (cosh re)) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)) (*.f64 #s(literal 1/24 binary64) (cos.f64 im))))))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
#s(approx (exp (neg re)) (exp.f64 (neg.f64 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 (* (+ (/ (sinh re) (cosh re)) 1) (* (cosh re) (cos im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))
#s(approx (+ (/ (sinh re) (cosh re)) 1) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (/ (sinh re) (cosh re)) (/.f64 (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (sinh re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (cosh re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (* (cosh re) (cos im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 (cos.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) re))))
#s(approx (exp (neg re)) (exp.f64 (*.f64 #s(literal -1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (neg.f64 re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (neg.f64 re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.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 (neg.f64 re))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))
#s(approx (* 1 (cos im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 1 (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 (* 1 (cos im)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 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 (* (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 (* -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 (* (+ (/ (sinh re) (cosh re)) 1) (* (cosh re) (cos im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))
#s(approx (* (+ (/ (sinh re) (cosh re)) 1) (* (cosh re) (cos im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))
#s(approx (* (+ (/ (sinh re) (cosh re)) 1) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))))))
#s(approx (* (+ (/ (sinh re) (cosh re)) 1) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))) (*.f64 #s(literal 1/48 binary64) (*.f64 (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))))))
#s(approx (* (cosh re) (cos im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (* (cosh re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))
#s(approx (* (cosh re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))
#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
10.0ms
im
inf
8.0ms
re
inf
4.0ms
re
-inf
3.0ms
im
-inf
2.0ms
im
0

rewrite84.0ms (4.1%)

Memory
24.4MiB live, 156.4MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029124
048113
1163111
01321108
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
26 → 415
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 (neg.f64 re)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
#s(literal 1 binary64)
(cos.f64 im)
im
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
#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))))))
(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)
(*.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)
(*.f64 (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))
(/.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
(cosh.f64 re)
(*.f64 (cosh.f64 re) (cos.f64 im))
Outputs
(*.f64 (*.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (+.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 1 binary64))) (/.f64 (sinh.f64 re) (cosh.f64 re)))
(*.f64 (*.f64 (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal -1 binary64)) (cos.f64 im)) (cosh.f64 re))
(*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 1 binary64)) (*.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) (*.f64 (cosh.f64 re) (cos.f64 im))))
(*.f64 (neg.f64 (cos.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 re)))))
(*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal -1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(*.f64 (cosh.f64 re) (*.f64 (cos.f64 im) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal -1 binary64))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (/.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)) #s(literal -1 binary64))
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(*.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) (+.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 1 binary64)) (sinh.f64 (neg.f64 re))) (neg.f64 (cosh.f64 re)))
(/.f64 (*.f64 (+.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 1 binary64)) (sinh.f64 re)) (cosh.f64 re))
(/.f64 (fma.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 re)) (sinh.f64 (neg.f64 re))) (neg.f64 (cosh.f64 re)))
(/.f64 (fma.f64 #s(literal 1 binary64) (cosh.f64 re) (sinh.f64 re)) (cosh.f64 re))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 re)))) (*.f64 (neg.f64 (cosh.f64 re)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) (*.f64 (cosh.f64 re) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re)))) (*.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 re)) (*.f64 (sinh.f64 (neg.f64 re)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 re))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 (sinh.f64 re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 re)) #s(literal 2 binary64) (*.f64 (neg.f64 (cosh.f64 re)) #s(literal 2 binary64))) (*.f64 (neg.f64 (cosh.f64 re)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 (cosh.f64 re) #s(literal 2 binary64))) (*.f64 (cosh.f64 re) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 2 binary64))) (*.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) (*.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 re))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 1 binary64)) (/.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (/.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))))
(fma.f64 (/.f64 (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 re)) (sinh.f64 re) #s(literal 1 binary64))
(fma.f64 (sinh.f64 (neg.f64 re)) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 re))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sinh.f64 re) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sinh.f64 re) (/.f64 #s(literal 1 binary64) (cosh.f64 re)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))))
(-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 re)) (/.f64 #s(literal 1 binary64) (cosh.f64 re))))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sinh.f64 re) (cosh.f64 re))))
(+.f64 (/.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))
(*.f64 (/.f64 (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 re)) (sinh.f64 re))
(*.f64 (sinh.f64 (neg.f64 re)) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 re))))
(*.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64))
(*.f64 (sinh.f64 re) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 re)) #s(literal 1 binary64)))
(*.f64 (sinh.f64 re) (/.f64 #s(literal 1 binary64) (cosh.f64 re)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))
(pow.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (/.f64 #s(literal 1 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 (neg.f64 re)) #s(literal 1 binary64)) (neg.f64 (cosh.f64 re)))
(/.f64 (*.f64 (sinh.f64 re) #s(literal 1 binary64)) (cosh.f64 re))
(/.f64 (*.f64 (sinh.f64 (neg.f64 re)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cosh.f64 re)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (neg.f64 (neg.f64 (cosh.f64 re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cosh.f64 re) (sinh.f64 re))))
(/.f64 (sinh.f64 (neg.f64 re)) (neg.f64 (cosh.f64 re)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))
(/.f64 (sinh.f64 re) (cosh.f64 re))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cosh.f64 re) (sinh.f64 re)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re)))
(neg.f64 (/.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re))))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))
(sinh.f64 re)
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 re)))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(*.f64 (*.f64 (cosh.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cosh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 re)))
(*.f64 (cos.f64 im) (cosh.f64 re))
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 re) (cos.f64 im)))
(/.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))

eval72.0ms (3.5%)

Memory
31.0MiB live, 122.2MiB allocated; 61ms collecting garbage
Compiler

Compiled 7 542 to 1 398 computations (81.5% saved)

prune19.0ms (0.9%)

Memory
0.4MiB live, 44.3MiB allocated; 12ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3838391
Fresh000
Picked415
Done011
Total38710397
Accuracy
100.0%
Counts
397 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 (cosh.f64 re) (sinh.f64 re)))
57.2%
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
100.0%
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.4%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
57.3%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
33.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
57.2%
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (cos.f64 im))
71.9%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
56.2%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 203 to 176 computations (13.3% saved)

series45.0ms (2.2%)

Memory
-12.8MiB live, 68.7MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371091
Stop Event
iter-limit
Counts
28 → 54
Calls
Call 1
Inputs
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(cos.f64 im)
im
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) 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)
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (cos.f64 im))
#s(approx (exp re) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(cosh.f64 re)
(sinh.f64 re)
Outputs
#s(approx (/ (cos im) (exp (neg re))) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (/ (cos im) (exp (neg re))) (+.f64 (cos.f64 im) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 re (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))) (*.f64 #s(literal -1 binary64) (cos.f64 im))))))
#s(approx (/ (cos im) (exp (neg re))) (+.f64 (cos.f64 im) (*.f64 re (-.f64 (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (cos.f64 im) (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal -1/6 binary64) (cos.f64 im)))))) (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))) (*.f64 #s(literal -1 binary64) (cos.f64 im))))))
#s(approx (exp (neg re)) #s(literal 1 binary64))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))) #s(literal 1 binary64)))))
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx re re)
#s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re))
#s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (+ 1 (/ 1 re)) (/.f64 #s(literal 1 binary64) re))
#s(approx (+ 1 (/ 1 re)) (/.f64 (+.f64 #s(literal 1 binary64) re) re))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (/ (cos im) (exp (neg re))) (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
#s(approx (exp (neg re)) (exp.f64 (neg.f64 re)))
#s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 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 (+ 1 (/ 1 re)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (- (cosh re) (sinh re))) (/.f64 (cos.f64 im) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (- (cosh re) (sinh re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (cosh re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (sinh re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (/ (cos im) (exp (neg re))) (/.f64 (cos.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) re))))
#s(approx (exp (neg re)) (exp.f64 (*.f64 #s(literal -1 binary64) re)))
#s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (neg.f64 re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))
#s(approx (/ (cos im) (exp (neg re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (neg.f64 re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))
#s(approx (/ (cos im) (exp (neg re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.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 (neg.f64 re))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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 (* (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 (* -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 (cos im)) (- (cosh re) (sinh re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (/ (* 1 (cos im)) (- (cosh re) (sinh re))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))
#s(approx (/ (* 1 (cos im)) (- (cosh re) (sinh re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))
#s(approx (/ (* 1 (cos im)) (- (cosh re) (sinh re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))
#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
13.0ms
re
inf
3.0ms
re
-inf
3.0ms
im
inf
3.0ms
im
-inf
1.0ms
im
0

rewrite125.0ms (6.1%)

Memory
9.6MiB live, 117.5MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034149
054125
1192118
01535115
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
28 → 429
Calls
Call 1
Inputs
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(cos.f64 im)
im
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) 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)
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (cos.f64 im))
#s(approx (exp re) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(cosh.f64 re)
(sinh.f64 re)
Outputs
(*.f64 (/.f64 (cos.f64 im) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re))))
(*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))) (/.f64 (cos.f64 im) (cosh.f64 re)))
(*.f64 (/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))) (/.f64 #s(literal 1 binary64) (cosh.f64 re)))
(*.f64 (neg.f64 (cos.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 re)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (/.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))) (cosh.f64 re))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 re)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) (exp.f64 (neg.f64 re)))
(/.f64 (neg.f64 (cos.f64 im)) (neg.f64 (exp.f64 (neg.f64 re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)))
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 im)) (exp.f64 (neg.f64 re))))
(neg.f64 (/.f64 (cos.f64 im) (neg.f64 (exp.f64 (neg.f64 re)))))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 im)) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (sin.f64 im) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (fabs.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
im
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) #s(literal 1 binary64)) (/.f64 (cosh.f64 re) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))) (fabs.f64 (cosh.f64 re)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (/.f64 (cosh.f64 re) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re)))))
(*.f64 (cosh.f64 re) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(*.f64 (exp.f64 (neg.f64 re)) #s(literal 1 binary64))
(pow.f64 (exp.f64 re) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (*.f64 (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re))))
(/.f64 (neg.f64 (exp.f64 (neg.f64 re))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (exp.f64 re))
(/.f64 (exp.f64 (neg.f64 re)) #s(literal 1 binary64))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (neg.f64 re))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 re))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (*.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 re))))
(-.f64 (/.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (exp.f64 re)) (/.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (exp.f64 re)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re)))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re)))))
(-.f64 (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (/.f64 (sinh.f64 re) #s(literal 1 binary64)))
(-.f64 (cosh.f64 re) (neg.f64 (sinh.f64 (neg.f64 re))))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 re))))
(fabs.f64 (exp.f64 (neg.f64 re)))
(exp.f64 (-.f64 #s(literal 0 binary64) re))
(exp.f64 (-.f64 (neg.f64 re) #s(literal 0 binary64)))
(exp.f64 (neg.f64 re))
(+.f64 (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (/.f64 (sinh.f64 (neg.f64 re)) #s(literal 1 binary64)))
(+.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(neg.f64 re)
re
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re))))
(*.f64 (pow.f64 (exp.f64 (neg.f64 re)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 re)) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))) (/.f64 #s(literal 1 binary64) (cosh.f64 re)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) #s(literal -1 binary64)) (pow.f64 (cosh.f64 re) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 re)))))
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(pow.f64 (exp.f64 (neg.f64 re)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.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))
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eval44.0ms (2.2%)

Memory
-8.4MiB live, 82.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 8 288 to 1 544 computations (81.4% saved)

prune14.0ms (0.7%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New42410434
Fresh123
Picked415
Done022
Total42915444
Accuracy
100.0%
Counts
444 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
100.0%
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
57.2%
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.4%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
57.3%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
33.0%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
33.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))))))
21.5%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.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)))))
57.2%
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) (cos.f64 im))
33.8%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
32.7%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
71.9%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
33.6%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
56.2%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 377 to 300 computations (20.4% saved)

series35.0ms (1.7%)

Memory
-6.5MiB live, 42.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02551157
Stop Event
iter-limit
Counts
31 → 56
Calls
Call 1
Inputs
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(cos.f64 im)
im
(-.f64 (cosh.f64 re) (sinh.f64 re))
(cosh.f64 re)
re
(sinh.f64 re)
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
(/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))
(*.f64 #s(literal -1 binary64) re)
#s(literal -1 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #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(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.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)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (cos im) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 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 im im) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (cos im) (- (cosh re) (sinh re))) (cos.f64 im))
#s(approx (/ (cos im) (- (cosh re) (sinh re))) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (/ (cos im) (- (cosh re) (sinh re))) (+.f64 (cos.f64 im) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 re (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))) (*.f64 #s(literal -1 binary64) (cos.f64 im))))))
#s(approx (/ (cos im) (- (cosh re) (sinh re))) (+.f64 (cos.f64 im) (*.f64 re (-.f64 (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (cos.f64 im) (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal -1/6 binary64) (cos.f64 im)))))) (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))) (*.f64 #s(literal -1 binary64) (cos.f64 im))))))
#s(approx (- (cosh re) (sinh re)) #s(literal 1 binary64))
#s(approx (- (cosh re) (sinh re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))
#s(approx (- (cosh re) (sinh re)) (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
#s(approx (- (cosh re) (sinh re)) (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))) #s(literal 1 binary64)))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx re re)
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re))
#s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (/ 1 (exp (neg 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 (* -1 re) (*.f64 #s(literal -1 binary64) re))
#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 (/ (cos im) (- (cosh re) (sinh re))) (/.f64 (cos.f64 im) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (- (cosh re) (sinh re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (cosh re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (sinh re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
#s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (exp (neg re)) (exp.f64 (neg.f64 re)))
#s(approx (+ 1 (* -1 re)) (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 (cos.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) re))))
#s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) re))))
#s(approx (exp (neg re)) (exp.f64 (*.f64 #s(literal -1 binary64) re)))
#s(approx (+ 1 (* -1 re)) (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))))
#s(approx (/ (cos im) (- (cosh re) (sinh re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (/ (cos im) (- (cosh re) (sinh re))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))
#s(approx (/ (cos im) (- (cosh re) (sinh re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))
#s(approx (/ (cos im) (- (cosh re) (sinh re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 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 (cos im)) (exp (neg re))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (neg.f64 re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (neg.f64 re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.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 (neg.f64 re))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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 (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (* (* im im) -1/2))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ 1 (/ 1 (* (* im im) -1/2))) (/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* im im) -1/2) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ 1 (/ 1 (* (* im im) -1/2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
Calls

6 calls:

TimeVariablePoint
17.0ms
re
0
3.0ms
im
inf
2.0ms
im
-inf
2.0ms
re
inf
2.0ms
re
-inf

rewrite80.0ms (3.9%)

Memory
-24.2MiB live, 70.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038230
057192
1238173
02022172
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
31 → 570
Calls
Call 1
Inputs
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(cos.f64 im)
im
(-.f64 (cosh.f64 re) (sinh.f64 re))
(cosh.f64 re)
re
(sinh.f64 re)
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
(/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))
(*.f64 #s(literal -1 binary64) re)
#s(literal -1 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #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(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.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)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (cos im) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 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 im im) #s(literal -1/2 binary64))
Outputs
(*.f64 (/.f64 (cos.f64 im) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (exp.f64 re) (*.f64 (cosh.f64 re) (cosh.f64 re))))
(*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))) (/.f64 #s(literal 1 binary64) (cosh.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re)))) (/.f64 (cos.f64 im) (cosh.f64 re)))
(*.f64 (neg.f64 (cos.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 re)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))))
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
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eval56.0ms (2.7%)

Memory
7.9MiB live, 101.5MiB allocated; 12ms collecting garbage
Compiler

Compiled 12 357 to 2 096 computations (83% saved)

prune30.0ms (1.5%)

Memory
-6.4MiB live, 39.0MiB allocated; 5ms collecting garbage
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New50311514
Fresh257
Picked325
Done033
Total50821529
Accuracy
100.0%
Counts
529 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
100.0%
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
57.2%
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.4%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
57.3%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
33.0%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
33.0%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
21.5%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
21.5%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal -1/2 binary64) im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
19.6%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
57.2%
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) (cos.f64 im))
43.2%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (-.f64 re #s(literal -1 binary64)) re)) re))))
33.8%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
32.7%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
71.9%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
39.7%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
39.7%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re #s(literal 1 binary64)) (fma.f64 re re #s(literal -1 binary64))))))
33.6%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
33.5%
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)))
56.2%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 346 to 260 computations (24.9% saved)

regimes171.0ms (8.3%)

Memory
22.0MiB live, 253.9MiB allocated; 23ms collecting garbage
Accuracy

Total -0.7b remaining (-0.5%)

Threshold costs -0.7b (-0.5%)

Counts
3 → 1
6 → 1
8 → 1
11 → 2
20 → 2
22 → 4
29 → 4
35 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
Outputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
Call 2
Inputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
Outputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
Call 3
Inputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
Outputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
Call 4
Inputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re #s(literal 1 binary64)) (fma.f64 re re #s(literal -1 binary64))))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
Call 5
Inputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re #s(literal 1 binary64)) (fma.f64 re re #s(literal -1 binary64))))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (-.f64 re #s(literal -1 binary64)) re)) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.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 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal -1/2 binary64) im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
Call 6
Inputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re #s(literal 1 binary64)) (fma.f64 re re #s(literal -1 binary64))))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (-.f64 re #s(literal -1 binary64)) re)) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.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 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal -1/2 binary64) im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 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))))))
Outputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
#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))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
Call 7
Inputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re #s(literal 1 binary64)) (fma.f64 re re #s(literal -1 binary64))))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (-.f64 re #s(literal -1 binary64)) re)) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.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 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal -1/2 binary64) im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 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))))))
(*.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))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (cos.f64 im))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
Outputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
(*.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))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
Call 8
Inputs
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (exp.f64 re))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) #s(approx (/ 1 (exp (neg re))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re #s(literal 1 binary64)) (fma.f64 re re #s(literal -1 binary64))))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 1 (cos im)) (exp (neg re))) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (-.f64 re #s(literal -1 binary64)) re)) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.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 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal -1/2 binary64) im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 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))))))
(*.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))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (cos.f64 im))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re))))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 (neg.f64 re)))
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(*.f64 (+.f64 (/.f64 (sinh.f64 re) (cosh.f64 re)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

30 calls:

26.0ms
(cos.f64 im)
12.0ms
re
9.0ms
im
9.0ms
im
8.0ms
(cos.f64 im)
Results
AccuracySegmentsBranch
33.6%1(*.f64 (exp.f64 re) (cos.f64 im))
33.6%1(cos.f64 im)
33.6%1(exp.f64 re)
33.6%1re
33.6%1im
33.8%1(cos.f64 im)
33.8%1(exp.f64 re)
33.8%1(*.f64 (exp.f64 re) (cos.f64 im))
33.8%1im
33.8%1re
71.9%1re
71.9%1im
71.9%1(*.f64 (exp.f64 re) (cos.f64 im))
74.3%2(*.f64 (exp.f64 re) (cos.f64 im))
71.9%1(cos.f64 im)
73.7%2im
76.1%2(*.f64 (exp.f64 re) (cos.f64 im))
71.9%1(exp.f64 re)
71.9%1re
97.8%4re
77.2%2(cos.f64 im)
96.1%3(exp.f64 re)
98.7%5(*.f64 (exp.f64 re) (cos.f64 im))
98.1%4re
78.6%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 619 to 231 computations (62.7% saved)

bsearch54.0ms (2.6%)

Memory
-10.5MiB live, 35.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.0249684084152998e+105
1.4559388787221618e+110
12.0ms
11.129163379361279
346978.4244745612
11.0ms
-4.1200022716272757e-5
-9.389439372137683e-8
Samples
37.0ms400×0valid
Compiler

Compiled 543 to 528 computations (2.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 8.0ms (58% of total)
ival-exp: 4.0ms (29% of total)
ival-mult!: 2.0ms (14.5% of total)
adjust: 0.0ms (0% of total)

bsearch27.0ms (1.3%)

Memory
30.0MiB live, 30.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0249684084152998e+105
1.4559388787221618e+110
12.0ms
4.821368462375292e-22
7.8055234643074e-19
13.0ms
-3.3963514965924554e-16
-2.815353481422789e-23
Samples
15.0ms272×0valid
Compiler

Compiled 546 to 531 computations (2.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 6.0ms (62.6% of total)
ival-exp: 3.0ms (31.3% of total)
ival-mult!: 1.0ms (10.4% of total)
adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.011638065839596177
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.011638065839596177
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations81.0ms (3.9%)

Memory
-5.1MiB live, 44.9MiB allocated; 60ms collecting garbage
Stop Event
fuel
Compiler

Compiled 227 to 52 computations (77.1% saved)

preprocess58.0ms (2.8%)

Memory
3.2MiB live, 141.7MiB allocated; 19ms collecting garbage
Remove

(abs im)

Compiler

Compiled 686 to 351 computations (48.8% saved)

end0.0ms (0%)

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

Profiling

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