math.exp on complex, real part

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample852.0ms (35.6%)

Memory
-22.4MiB live, 1 353.6MiB allocated; 271ms collecting garbage
Samples
558.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 331.0ms
ival-cos: 202.0ms (61% of total)
ival-exp: 74.0ms (22.3% of total)
ival-mult!: 54.0ms (16.3% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess38.0ms (1.6%)

Memory
-8.9MiB live, 43.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

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

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series11.0ms (0.5%)

Memory
26.9MiB live, 26.9MiB 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
0
0.0ms
im
inf

rewrite83.0ms (3.5%)

Memory
14.6MiB live, 152.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
12211
28611
342111
0415711
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 239
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
(*.f64 (*.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (cos.f64 im) (*.f64 #s(literal 1 binary64) (exp.f64 re)))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (*.f64 (exp.f64 re) (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 re) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) (PI.f64)))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) (exp.f64 re)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) (PI.f64)))) (cos.f64 im)) (exp.f64 re)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) (cos.f64 im)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) (PI.f64)))) (cos.f64 im))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im))) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) (PI.f64)))) (cos.f64 im))) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) (PI.f64)))) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) (PI.f64)))) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 8 binary64))
(neg.f64 (*.f64 (cos.f64 im) (neg.f64 (exp.f64 re))))
(neg.f64 (*.f64 (neg.f64 (exp.f64 re)) (cos.f64 im)))
(neg.f64 (-.f64 (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))))
(fma.f64 (*.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (*.f64 (exp.f64 re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (*.f64 #s(literal 0 binary64) (exp.f64 re)))
(fma.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (*.f64 (sinh.f64 re) #s(literal 1 binary64)) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (cosh.f64 re) #s(literal 1 binary64)) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1 binary64)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64) (*.f64 (exp.f64 re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (exp.f64 re)))
(fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 1/2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 1/2 binary64) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 1/2 binary64) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (sin.f64 im) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 1 binary64) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 1 binary64) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 (exp.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 #s(literal 0 binary64) (exp.f64 re)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (*.f64 (sin.f64 im) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 #s(literal 0 binary64) (exp.f64 re) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (sin.f64 im) (*.f64 #s(literal 0 binary64) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (/.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (/.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (*.f64 #s(literal 1 binary64) (exp.f64 re)) (*.f64 (exp.f64 re) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) (*.f64 #s(literal 1 binary64) (exp.f64 re)) (*.f64 #s(literal 0 binary64) (exp.f64 re)))
(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 (cos.f64 im) (exp.f64 re) (*.f64 (exp.f64 re) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) (exp.f64 re) (*.f64 #s(literal 0 binary64) (exp.f64 re)))
(fma.f64 (exp.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
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(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) (PI.f64)))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 im)))
(-.f64 (cos.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(-.f64 (cos.f64 im) #s(literal 0 binary64))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64)) (cos.f64 im))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(+.f64 (cos.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
im

eval71.0ms (3%)

Memory
-35.7MiB live, 61.2MiB allocated; 14ms collecting garbage
Compiler

Compiled 3 590 to 696 computations (80.6% saved)

prune4.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2484252
Fresh000
Picked011
Done000
Total2485253
Accuracy
100.0%
Counts
253 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
59.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
49.2%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
48.6%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 43 to 40 computations (7% saved)

series25.0ms (1%)

Memory
-5.2MiB live, 41.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161592
Stop Event
iter-limit
Counts
20 → 37
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 re)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (cos.f64 im))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(exp.f64 (neg.f64 re))
(neg.f64 re)
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 (* (/ 1 (exp (neg re))) (cos im)) (+.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 (exp (neg re))) (cos im)) (+.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)) (+.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 (* (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 (exp (neg re))) (cos im)) (/.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 (exp (neg re)) (exp.f64 (neg.f64 re)))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (/.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 (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx im im)
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (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 (exp (neg re))) (cos im)) (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 (exp (neg re))) (cos im)) (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 (* -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
2.0ms
re
-inf
2.0ms
im
inf
2.0ms
re
inf
1.0ms
im
-inf
1.0ms
re
0

rewrite159.0ms (6.6%)

Memory
-16.4MiB live, 154.3MiB allocated; 97ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391
03687
18385
225085
3141985
0402482
Stop Event
iter-limit
node-limit
iter-limit
Counts
20 → 644
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 re)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (cos.f64 im))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(exp.f64 (neg.f64 re))
(neg.f64 re)
Outputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (fabs.f64 im))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (neg.f64 (fabs.f64 im)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fabs.f64 im)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fabs.f64 im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)) (cos.f64 im)) #s(literal 2 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))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64))
(/.f64 (cos.f64 im) #s(literal 1 binary64))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)))
(neg.f64 (/.f64 (cos.f64 im) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)))))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im))) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64) (cos.f64 im))
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64) (cos.f64 im))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (cos.f64 im) #s(literal 0 binary64)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 im)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (cos.f64 im))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (cos.f64 im))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 1 binary64) (cos.f64 im))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (cos.f64 im))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (cos.f64 im))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 im)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (neg.f64 (cos.f64 im)))
(-.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (neg.f64 (cos.f64 im)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (cos.f64 im)))
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(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 re #s(literal 0 binary64))))
(exp.f64 (/.f64 (+.f64 (neg.f64 re) (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (neg.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (neg.f64 re))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 re) re) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 re) (*.f64 #s(literal -1 binary64) (neg.f64 re))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 re) (neg.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 re #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 re) #s(literal 0 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 re #s(literal 0 binary64)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (neg.f64 re) #s(literal 0 binary64)))
(exp.f64 (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 re))))
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re)) #s(literal -1 binary64)))
(exp.f64 (*.f64 re #s(literal -1 binary64)))
(exp.f64 (neg.f64 re))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 re)))) (sinh.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 re)))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re)) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 re))) (*.f64 #s(literal 1 binary64) (cosh.f64 re)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 re)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 re))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 re)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 re) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 re)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 re))) (sinh.f64 (neg.f64 re)))
(+.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 re)))))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(+.f64 (exp.f64 (neg.f64 re)) (/.f64 #s(literal 0 binary64) (exp.f64 re)))
(neg.f64 (-.f64 re #s(literal 0 binary64)))
(neg.f64 re)
(-.f64 #s(literal 0 binary64) re)
(+.f64 #s(literal 0 binary64) (neg.f64 re))

eval79.0ms (3.3%)

Memory
7.0MiB live, 146.8MiB allocated; 25ms collecting garbage
Compiler

Compiled 11 657 to 1 968 computations (83.1% saved)

prune21.0ms (0.9%)

Memory
18.2MiB live, 64.3MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New7319740
Fresh000
Picked314
Done011
Total73411745
Accuracy
100.0%
Counts
745 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
59.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
49.2%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
25.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
48.2%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
25.0%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
47.6%
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
48.6%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
26.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
25.1%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
Compiler

Compiled 255 to 214 computations (16.1% saved)

series45.0ms (1.9%)

Memory
-28.1MiB live, 64.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02781222
Stop Event
iter-limit
Counts
27 → 64
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (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)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64)))
(+.f64 (+.f64 im (PI.f64)) (PI.f64))
(+.f64 im (PI.f64))
(PI.f64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
#s(literal 1/2 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
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) (sin (+ (* 1/2 (PI)) im))) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))))))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (*.f64 (exp.f64 re) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 re)))
#s(approx (* (exp re) (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) (pow.f64 im #s(literal 2 binary64)))
#s(approx im im)
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos (+ (+ im (PI)) (PI))) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 im (-.f64 (*.f64 im (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (+ (+ im (PI)) (PI)) (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ im (PI)) (PI.f64))
#s(approx (+ im (PI)) (+.f64 im (PI.f64)))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (fma.f64 im (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (fma.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re)))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (+ (* (* 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 (+ (+ im (PI)) (PI)) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (+ im (PI)) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) im))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (cos (+ (+ im (PI)) (PI))) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (+ im (PI)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (*.f64 (exp.f64 re) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im)))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))) (exp.f64 re)))
Calls

6 calls:

TimeVariablePoint
5.0ms
re
inf
2.0ms
re
0
2.0ms
im
-inf
2.0ms
re
-inf
2.0ms
im
inf

rewrite114.0ms (4.7%)

Memory
60.8MiB live, 328.3MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030149
049143
1130134
2507128
33691128
04001127
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 506
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (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)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64)))
(+.f64 (+.f64 im (PI.f64)) (PI.f64))
(+.f64 im (PI.f64))
(PI.f64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
#s(literal 1/2 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
Outputs
(*.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(fma.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(fma.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (sinh.f64 re) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (cosh.f64 re) (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 (neg.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (sinh.f64 re)))
(-.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 re)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (neg.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))))
(+.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(+.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (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))
(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) (sinh.f64 re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(-.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 im)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (fabs.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 im)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 im (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 im)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (fabs.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 im)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 im (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im))
(*.f64 (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (fabs.f64 im))
(*.f64 (*.f64 (fabs.f64 im) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 im)))
(*.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) im) im)
(*.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
(*.f64 im (*.f64 #s(literal -1/2 binary64) im))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
#s(literal 2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64))
(*.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)))
(*.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 im) (cos.f64 im)) (-.f64 (cos.f64 im) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 im) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) (cos.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 im) (cos.f64 im))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (fabs.f64 im)) (+.f64 (PI.f64) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 (fabs.f64 im)) (+.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) (+.f64 (PI.f64) (PI.f64)))) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (+.f64 (PI.f64) (PI.f64)))) (cos.f64 (-.f64 (fabs.f64 im) (+.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 im) (cos.f64 (-.f64 im (+.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) im))) (cos.f64 (-.f64 (fabs.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (PI.f64)) (fabs.f64 (+.f64 (PI.f64) im)))) (cos.f64 (-.f64 (fabs.f64 (PI.f64)) (fabs.f64 (+.f64 (PI.f64) im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (PI.f64)) (+.f64 (PI.f64) im))) (cos.f64 (-.f64 (fabs.f64 (PI.f64)) (+.f64 (PI.f64) im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 im) (cos.f64 (-.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (PI.f64)) (fabs.f64 (+.f64 (PI.f64) im)))) (cos.f64 (-.f64 (neg.f64 (PI.f64)) (fabs.f64 (+.f64 (PI.f64) im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (PI.f64)) (+.f64 (PI.f64) im))) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (-.f64 (neg.f64 (PI.f64)) im))) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (fabs.f64 (+.f64 (PI.f64) im)))) (cos.f64 (-.f64 (PI.f64) (fabs.f64 (+.f64 (PI.f64) im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 im) (cos.f64 (-.f64 (PI.f64) (+.f64 (PI.f64) im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 (PI.f64)) im) (fabs.f64 (PI.f64)))) (cos.f64 (-.f64 (-.f64 (neg.f64 (PI.f64)) im) (fabs.f64 (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 im) (cos.f64 (-.f64 (-.f64 (neg.f64 (PI.f64)) im) (neg.f64 (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) im)) (fabs.f64 (PI.f64)))) (cos.f64 (-.f64 (fabs.f64 (+.f64 (PI.f64) im)) (fabs.f64 (PI.f64))))) #s(literal 2 binary64))
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(cos.f64 (-.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) im))
(cos.f64 (fabs.f64 im))
(cos.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) im)))
(cos.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) im))
(cos.f64 im)
(+.f64 (/.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) #s(literal 2 binary64)) (/.f64 (cos.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (cos.f64 im) #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) im)) #s(literal 0 binary64)) (cos.f64 im))
(+.f64 (*.f64 (sin.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) im))) #s(literal 0 binary64)) (cos.f64 im))
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))) (cos.f64 im))
(+.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (cos.f64 im))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(+.f64 (cos.f64 im) (*.f64 (sin.f64 im) (sin.f64 (*.f64 #s(literal -2 binary64) (PI.f64)))))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 im #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) #s(literal 1 binary64))
(neg.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (neg.f64 im)))
(neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im))
(neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) im)
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) im)
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) im)
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) im)
(fma.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) im)
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) im)
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) im)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) im)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) im)
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) im)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) im)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)) im)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 im))
(-.f64 im (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)
(+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (neg.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (neg.f64 (cos.f64 im)))
(*.f64 (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 im)) (neg.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) (*.f64 #s(literal 1 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (+.f64 (cos.f64 im) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(literal 1 binary64)) (cos.f64 im) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (neg.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (neg.f64 (cos.f64 im)) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (sin.f64 im) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (sin.f64 im) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (cos.f64 im)) (neg.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(literal 0 binary64) (*.f64 (sin.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (cos.f64 im) (*.f64 #s(literal 1 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(-.f64 (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (neg.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) #s(literal 0 binary64)))
(-.f64 (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (neg.f64 (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))))
(-.f64 (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(+.f64 (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))

eval110.0ms (4.6%)

Memory
-0.7MiB live, 220.8MiB allocated; 99ms collecting garbage
Compiler

Compiled 9 625 to 1 535 computations (84.1% saved)

prune18.0ms (0.8%)

Memory
-3.5MiB live, 42.0MiB allocated; 6ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New5325537
Fresh134
Picked415
Done022
Total53711548
Accuracy
100.0%
Counts
548 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
59.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
49.2%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
24.8%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
27.1%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
25.0%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 5/2 binary64) im)))
24.4%
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
48.6%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
25.1%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
26.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
Compiler

Compiled 257 to 210 computations (18.3% saved)

series33.0ms (1.4%)

Memory
-5.0MiB live, 48.7MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02701116
Stop Event
iter-limit
Counts
26 → 62
Calls
Call 1
Inputs
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(cos.f64 im)
im
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
re
#s(literal -1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 im im)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
(cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64)))
(+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))
#s(approx (+ im (PI)) (PI.f64))
(PI.f64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))) (cos.f64 im))
(/.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)
Outputs
#s(approx (* (cos im) (exp re)) (cos.f64 im))
#s(approx (* (cos im) (exp re)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (cos im) (exp re)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (cos im) (exp re)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx re re)
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (+.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))))))))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (+.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 (exp (neg re))) (cos im)) (+.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)) (+.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 (* -1 re) (*.f64 #s(literal -1 binary64) re))
#s(approx (* (cos im) (exp re)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (- re -1) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 re)))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (/.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 (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 (* (/ 1 (exp (neg re))) (cos im)) (/.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) (exp re)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (cos im) (exp re)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (cos im) (exp re)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx im im)
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (cos (+ (+ im (PI)) (PI))) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 im (-.f64 (*.f64 im (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (+ (+ im (PI)) (PI)) (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ im (PI)) (PI.f64))
#s(approx (+ im (PI)) (+.f64 im (PI.f64)))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re)))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (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 (exp (neg re))) (cos im)) (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 (exp (neg re))) (cos im)) (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 (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* im im)) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (+ im (PI)) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) im))))
#s(approx (cos (+ (+ im (PI)) (PI))) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (+ im (PI)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))) (exp.f64 re)))
Calls

6 calls:

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

rewrite186.0ms (7.8%)

Memory
45.9MiB live, 312.6MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033159
049151
1134145
2440145
32752145
05862145
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 453
Calls
Call 1
Inputs
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(cos.f64 im)
im
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
re
#s(literal -1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 im im)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
(cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64)))
(+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))
#s(approx (+ im (PI)) (PI.f64))
(PI.f64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))) (cos.f64 im))
(/.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)
Outputs
(*.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (*.f64 #s(literal 1 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (neg.f64 (cos.f64 im))))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (neg.f64 (neg.f64 (fabs.f64 im))))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (neg.f64 (neg.f64 (fabs.f64 im)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (neg.f64 (fabs.f64 im)))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (neg.f64 (fabs.f64 im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (neg.f64 im))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (fabs.f64 im))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (fabs.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) im)) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) im))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (neg.f64 (fabs.f64 im))))) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (neg.f64 (fabs.f64 im)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (fabs.f64 im)))) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (fabs.f64 im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 im))) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) (fabs.f64 im))) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) (fabs.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) im)) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) (PI.f64)) im))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (fabs.f64 im))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (neg.f64 (fabs.f64 im)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fabs.f64 im)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fabs.f64 im))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (neg.f64 (fabs.f64 im)) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (neg.f64 (fabs.f64 im)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (neg.f64 im) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (neg.f64 im) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fabs.f64 im) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fabs.f64 im) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (PI.f64) im))) (sin.f64 (+.f64 (+.f64 (fabs.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (PI.f64) im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (neg.f64 (fabs.f64 im)) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (neg.f64 (fabs.f64 im)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (neg.f64 im) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (neg.f64 im) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fabs.f64 im) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fabs.f64 im) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
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(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
(/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 0 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 0 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 0 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))
(neg.f64 (neg.f64 #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re))
(*.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 re) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 re #s(literal 1 binary64)))
(fma.f64 (neg.f64 re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (neg.f64 re) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) re)
(+.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 0 binary64))
(+.f64 (neg.f64 re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 re))
(*.f64 (neg.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 re))
(*.f64 #s(literal -1 binary64) re)
(*.f64 re #s(literal -1 binary64))
(neg.f64 (-.f64 re #s(literal 0 binary64)))
(neg.f64 re)
(-.f64 #s(literal 0 binary64) re)
(+.f64 #s(literal 0 binary64) (neg.f64 re))

eval98.0ms (4.1%)

Memory
-10.3MiB live, 217.6MiB allocated; 46ms collecting garbage
Compiler

Compiled 20 005 to 2 455 computations (87.7% saved)

prune69.0ms (2.9%)

Memory
6.8MiB live, 58.2MiB allocated; 99ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New7557762
Fresh033
Picked325
Done033
Total75815773
Accuracy
100.0%
Counts
773 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
49.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (cos.f64 im))
26.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.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))))))
24.8%
(*.f64 (neg.f64 (cos.f64 #s(approx (+ im (PI)) (PI.f64)))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
59.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
49.2%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
27.1%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
25.0%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 5/2 binary64) im)))
24.4%
#s(approx (* (exp re) (cos im)) (neg.f64 (cos.f64 #s(approx (+ im (PI)) (PI.f64)))))
48.6%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
25.1%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
25.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
26.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
9.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
Compiler

Compiled 211 to 171 computations (19% saved)

regimes142.0ms (6%)

Memory
10.6MiB live, 334.2MiB allocated; 42ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 1
4 → 2
6 → 1
14 → 3
16 → 3
24 → 3
26 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
Call 2
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 3
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 4
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 5
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (neg.f64 (cos.f64 #s(approx (+ im (PI)) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.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 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 5/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
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 (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 6
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (neg.f64 (cos.f64 #s(approx (+ im (PI)) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.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 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 5/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.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))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 7
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (neg.f64 (cos.f64 #s(approx (+ im (PI)) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.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 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 5/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.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) re)))
(*.f64 (neg.f64 (cos.f64 #s(approx (+ im (PI)) (PI.f64)))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 8
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (neg.f64 (cos.f64 #s(approx (+ im (PI)) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.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 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 5/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.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) re)))
(*.f64 (neg.f64 (cos.f64 #s(approx (+ im (PI)) (PI.f64)))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

33 calls:

17.0ms
(cos.f64 im)
11.0ms
im
10.0ms
im
9.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms
re
Results
AccuracySegmentsBranch
25.1%1im
25.1%1(exp.f64 re)
25.1%1re
25.1%1(*.f64 (exp.f64 re) (cos.f64 im))
25.1%1(cos.f64 im)
27.1%1(cos.f64 im)
27.1%1(*.f64 (exp.f64 re) (cos.f64 im))
27.1%1(exp.f64 re)
27.1%1re
27.1%1im
31.1%2re
31.1%2(exp.f64 re)
29.6%2(*.f64 (exp.f64 re) (cos.f64 im))
27.1%1(cos.f64 im)
59.7%1(cos.f64 im)
59.7%1im
59.7%1(*.f64 (exp.f64 re) (cos.f64 im))
59.7%1(exp.f64 re)
59.7%1re
85.5%3(exp.f64 re)
85.5%3re
85.5%3(exp.f64 re)
85.5%3re
72.9%2(cos.f64 im)
85.5%3(exp.f64 re)
85.2%5(*.f64 (exp.f64 re) (cos.f64 im))
85.5%3re
73.3%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 419 to 194 computations (53.7% saved)

bsearch26.0ms (1.1%)

Memory
11.5MiB live, 63.1MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.947696631502676e-31
1.3776605609317334e-30
15.0ms
-9.30831534836651e-10
-4.531922776958504e-13
Samples
16.0ms224×0valid
Compiler

Compiled 316 to 304 computations (3.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 5.0ms (59.3% of total)
ival-exp: 2.0ms (23.7% of total)
ival-mult!: 1.0ms (11.9% of total)
adjust: 0.0ms (0% of total)

bsearch16.0ms (0.7%)

Memory
-11.4MiB live, 35.3MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.947696631502676e-31
1.3776605609317334e-30
14.0ms
-1.8592017083796672e-5
-9.30831534836651e-10
Samples
9.0ms128×0valid
Compiler

Compiled 302 to 290 computations (4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (57.6% of total)
ival-exp: 1.0ms (19.2% of total)
ival-mult!: 1.0ms (19.2% of total)
adjust: 0.0ms (0% of total)

bsearch14.0ms (0.6%)

Memory
-17.9MiB live, 28.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.947696631502676e-31
1.3776605609317334e-30
12.0ms
-4.531922776958504e-13
-1.3646962612909611e-14
Samples
8.0ms112×0valid
Compiler

Compiled 268 to 257 computations (4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (72% of total)
ival-exp: 1.0ms (18% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.2067260564551863
0.9999814081557467
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations81.0ms (3.4%)

Memory
14.8MiB live, 109.9MiB allocated; 12ms collecting garbage
Stop Event
fuel
Compiler

Compiled 214 to 58 computations (72.9% saved)

preprocess95.0ms (4%)

Memory
-23.9MiB live, 233.1MiB allocated; 31ms collecting garbage
Remove

(abs im)

Compiler

Compiled 647 to 323 computations (50.1% saved)

end0.0ms (0%)

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

Profiling

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