math.exp on complex, real part

Time bar (total: 2.5s)

start0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze6.0ms (0.2%)

Memory
-42.6MiB live, 2.1MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 7 to 7 computations (0.0% saved)

sample875.0ms (35.3%)

Memory
47.9MiB live, 2 462.9MiB allocated; 350ms collecting garbage
Samples
647.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 412.0ms
ival-cos: 230.0ms (55.9% of total)
ival-exp: 108.0ms (26.2% of total)
ival-mult!: 71.0ms (17.2% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess38.0ms (1.5%)

Memory
-2.0MiB live, 87.0MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

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

(abs im)

Compiler

Compiled 10 to 10 computations (0.0% saved)

sample0.0ms (0.0%)

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

series51.0ms (2.1%)

Memory
-31.6MiB live, 45.5MiB allocated; 100ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

6 calls:

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

rewrite140.0ms (5.7%)

Memory
21.0MiB live, 258.0MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
12211
212311
365711
0405811
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 259
Calls
Call 1
Inputs
re
(exp.f64 re)
im
(cos.f64 im)
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cosh.f64 re)) (sinh.f64 re))) (sinh.f64 re))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 re))) (sqrt.f64 (neg.f64 (exp.f64 re))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re))) (sinh.f64 re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(pow.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (cosh.f64 re) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (neg.f64 (sinh.f64 (neg.f64 re))))) (-.f64 (cosh.f64 re) (neg.f64 (sinh.f64 (neg.f64 re)))))
(/.f64 (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cosh.f64 re)))) (+.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sinh.f64 (neg.f64 re))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (neg.f64 (sinh.f64 (neg.f64 re)))) (*.f64 (cosh.f64 re) (neg.f64 (sinh.f64 (neg.f64 re)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 re)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (fma.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cosh.f64 re)) (*.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re))))))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(neg.f64 (neg.f64 (exp.f64 re)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))) (/.f64 (exp.f64 re) #s(literal 2 binary64)) (sinh.f64 re))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) #s(literal 1 binary64)) (cosh.f64 re))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (neg.f64 (sinh.f64 (neg.f64 re))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (sinh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64) (cosh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 re))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))
(-.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 re)) (sinh.f64 re)))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (neg.f64 re)))
(exp.f64 re)
(+.f64 (/.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 re))
(+.f64 (/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 re))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)))
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eval26.0ms (1.0%)

Memory
18.4MiB live, 64.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 318 to 978 computations (81.6% saved)

prune10.0ms (0.4%)

Memory
-23.7MiB live, 22.1MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2685273
Fresh000
Picked101
Done-110
Total2686274
Accuracy
100.0%
Counts
274 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
100.0%
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
60.9%
(*.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))))))
48.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
47.4%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 101 to 87 computations (13.9% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1/2
2
Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

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

series38.0ms (1.5%)

Memory
25.2MiB live, 74.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02701183
Stop Event
iter-limit
Counts
24 → 55
Calls
Call 1
Inputs
re
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
im
(cos.f64 im)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(exp.f64 re)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(sinh.f64 re)
(cosh.f64 re)
(*.f64 (cosh.f64 re) (cos.f64 im))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
Outputs
#s(approx re re)
#s(approx (+ re re) (*.f64 #s(literal 2 binary64) re))
#s(approx (exp (+ re re)) #s(literal 1 binary64))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re)))))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) re)))))))
#s(approx (sqrt (exp (+ re re))) (+.f64 #s(literal 1 binary64) re))
#s(approx (sqrt (exp (+ re re))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (sqrt (exp (+ re 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 (* (sqrt (exp (+ re re))) (cos im)) (cos.f64 im))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (sqrt (exp (+ re 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 (* (sqrt (exp (+ re 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 (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)) (*.f64 #s(literal 1/24 binary64) (cos.f64 im))))))))
#s(approx (exp (+ re re)) (exp.f64 (*.f64 #s(literal 2 binary64) re)))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (sinh re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (cosh re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (* (cosh re) (cos im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (exp (+ re re)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re)))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))))
#s(approx im im)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (cosh re) (cos im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (* (cosh re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))
#s(approx (* (cosh re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal -1/1440 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))))))))
#s(approx (+ 1 (* -1/2 (pow im 2))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
Calls

6 calls:

TimeVariablePoint
12.0ms
im
inf
4.0ms
re
inf
3.0ms
re
-inf
3.0ms
im
-inf
2.0ms
re
0

rewrite163.0ms (6.6%)

Memory
-14.7MiB live, 264.2MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027112
045113
1161101
2629101
34000101
0400298
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 739
Calls
Call 1
Inputs
re
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
im
(cos.f64 im)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(exp.f64 re)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(sinh.f64 re)
(cosh.f64 re)
(*.f64 (cosh.f64 re) (cos.f64 im))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
Outputs
re
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) re)) re)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re re)) re)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) re))
(*.f64 #s(literal 2 binary64) re)
(*.f64 (+.f64 re re) #s(literal 1 binary64))
(*.f64 re #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 re re) (*.f64 (neg.f64 re) (neg.f64 re))) (+.f64 re (neg.f64 re)))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (fma.f64 re re (fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 re (neg.f64 re)))))
(/.f64 (-.f64 (*.f64 re re) (*.f64 re re)) (-.f64 re re))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re))))
(neg.f64 (*.f64 #s(literal -2 binary64) re))
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) re) #s(literal -1/2 binary64) (*.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 re re) (*.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (*.f64 #s(literal 1 binary64) re))
(fma.f64 (+.f64 re re) #s(literal 1/2 binary64) (*.f64 re #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64)))
(-.f64 re (neg.f64 re))
(+.f64 (*.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1 binary64) re))
(+.f64 (*.f64 re #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)))
(+.f64 re re)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 re) (exp.f64 re)) (*.f64 (cosh.f64 re) (exp.f64 re)))) (*.f64 (cosh.f64 re) (exp.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (+.f64 re re)) (sinh.f64 (+.f64 re re)))) (sinh.f64 (+.f64 re re)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) re)) (cosh.f64 (+.f64 re re)))) (cosh.f64 (+.f64 re re)))
(*.f64 (pow.f64 (exp.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1 binary64)) (pow.f64 (exp.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 re re)) (cosh.f64 (+.f64 re re)))) (cosh.f64 (+.f64 re re)))
(*.f64 (neg.f64 (exp.f64 re)) (neg.f64 (exp.f64 re)))
(*.f64 (exp.f64 re) (exp.f64 re))
(pow.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) re)
(pow.f64 (exp.f64 re) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)) (-.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))) (*.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))))))
(neg.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (*.f64 (cosh.f64 re) (cos.f64 im))))
(neg.f64 (*.f64 (cos.f64 im) (neg.f64 (exp.f64 re))))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 im))) (cosh.f64 re) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 im))) (cosh.f64 re) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 im))) (cosh.f64 re) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.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 (neg.f64 (cos.f64 im)) (neg.f64 (cosh.f64 re)) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cosh.f64 re)) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cosh.f64 re)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(fma.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cos.f64 im)) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cos.f64 im)) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) (/.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (cos.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (neg.f64 (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (cosh.f64 re) (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (cosh.f64 re) (neg.f64 (neg.f64 (cos.f64 im))) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (cos.f64 im)))
(-.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (neg.f64 (cosh.f64 re)) (cos.f64 im)))
(-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)))
(+.f64 (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(+.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (neg.f64 (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))

eval78.0ms (3.1%)

Memory
35.1MiB live, 178.0MiB allocated; 51ms collecting garbage
Compiler

Compiled 12 575 to 2 323 computations (81.5% saved)

prune19.0ms (0.8%)

Memory
-35.1MiB live, 56.6MiB allocated; 6ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New6827689
Fresh000
Picked505
Done-451
Total68312695
Accuracy
100.0%
Counts
695 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
100.0%
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) (cos.f64 im))
47.4%
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
60.9%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
26.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
48.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
26.8%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
25.8%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
47.4%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
28.7%
#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))))))
25.4%
#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 248 to 206 computations (16.9% saved)

sample0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/2
1
2
1/2
(PI)
Outputs
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

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

series20.0ms (0.8%)

Memory
16.3MiB live, 64.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182731
Stop Event
iter-limit
Counts
24 → 41
Calls
Call 1
Inputs
re
(exp.f64 re)
im
(*.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))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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)))
Outputs
#s(approx re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (* (exp re) (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) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (*.f64 (exp.f64 re) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx im im)
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) 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 (* (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 (+ (* (* im im) -1/2) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#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)))))
Calls

6 calls:

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

rewrite162.0ms (6.5%)

Memory
-7.3MiB live, 370.7MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027138
043134
1178125
2567125
32732125
04250125
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 331
Calls
Call 1
Inputs
re
(exp.f64 re)
im
(*.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))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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)))
Outputs
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re))) (sinh.f64 re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (cosh.f64 re))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(neg.f64 (neg.f64 (exp.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64) (cosh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))
(-.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (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))
im
(*.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 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))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal -1 binary64)))
(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))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 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 (fabs.f64 im) #s(literal 1/2 binary64)) (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 (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)))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (+.f64 #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 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(*.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))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.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 (sinh.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)))))) (-.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))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.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 (*.f64 (sinh.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))))) (*.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))))))))
(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)))
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(+.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)))))
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#s(literal 2 binary64)
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(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
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(*.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))
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(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
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(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
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(+.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)))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
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(+.f64 re #s(literal 1 binary64))
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#s(literal 1/2 binary64)
(PI.f64)
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(fma.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)) im)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (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 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)
(+.f64 im (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(+.f64 im (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64) (+.f64 (cos.f64 im) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)) (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))) (cos.f64 im))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(neg.f64 (sin.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 im)))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im))) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im))) #s(literal 1/2 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (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 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 im)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))) (*.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #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 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #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 (*.f64 #s(literal 1 binary64) (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 0 binary64)) (sin.f64 im) (*.f64 (*.f64 #s(literal 1 binary64) (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 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (sin.f64 im) (*.f64 #s(literal 0 binary64) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 (sin.f64 im) #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 (*.f64 #s(literal 1 binary64) (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))) (cos.f64 im)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (*.f64 (*.f64 (sin.f64 im) #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 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (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)))) (*.f64 (sin.f64 im) #s(literal 0 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))))
(-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #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 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))

eval42.0ms (1.7%)

Memory
27.2MiB live, 116.3MiB allocated; 13ms collecting garbage
Compiler

Compiled 8 831 to 1 351 computations (84.7% saved)

prune17.0ms (0.7%)

Memory
12.8MiB live, 58.9MiB allocated; 6ms collecting garbage
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New4315436
Fresh022
Picked505
Done-275
Total43414448
Accuracy
100.0%
Counts
448 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
100.0%
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) (cos.f64 im))
47.4%
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
60.9%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
26.8%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
25.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
48.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
25.8%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
25.8%
#s(approx (* (exp re) (cos im)) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (PI.f64))))))
24.9%
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
47.4%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
25.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
28.7%
#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 293 to 246 computations (16.0% saved)

sample0.0ms (0.0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
-1/2
-1
1/2
(PI)
(* 1/2 (PI))
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 884279719003555/562949953421312 binary64)
Samples
0.0ms0valid
Compiler

Compiled 11 to 9 computations (18.2% saved)

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

series36.0ms (1.4%)

Memory
-46.5MiB live, 62.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391003
Stop Event
iter-limit
Counts
28 → 55
Calls
Call 1
Inputs
re
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) re)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))
(sqrt.f64 #s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re))))
im
(cos.f64 im)
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))) (cos.f64 im))
#s(literal -1/2 binary64)
(*.f64 im 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)))
#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(literal -1 binary64)
(-.f64 re #s(literal -1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Outputs
#s(approx re re)
#s(approx (* 2 re) (*.f64 #s(literal 2 binary64) re))
#s(approx (+ 1 (* 2 re)) #s(literal 1 binary64))
#s(approx (+ 1 (* 2 re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re)))))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) re)))))))
#s(approx (sqrt (exp (+ re re))) (+.f64 #s(literal 1 binary64) re))
#s(approx (sqrt (exp (+ re re))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (sqrt (exp (+ re 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 (* (sqrt (exp (+ re re))) (cos im)) (cos.f64 im))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (sqrt (exp (+ re 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 (* (sqrt (exp (+ re 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) (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 (+ 1 (* 2 re)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (exp (+ re re)) (exp.f64 (*.f64 #s(literal 2 binary64) re)))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (- re -1) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (exp (+ re re)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re)))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))))
#s(approx im im)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))))))))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) 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 (* (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 (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* im im)) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#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)))))
Calls

6 calls:

TimeVariablePoint
13.0ms
re
inf
2.0ms
re
-inf
1.0ms
im
-inf
1.0ms
im
inf
1.0ms
im
0

rewrite195.0ms (7.9%)

Memory
6.4MiB live, 382.8MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036175
051175
1202175
2643175
32850175
04357167
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 294
Calls
Call 1
Inputs
re
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) re)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))
(sqrt.f64 #s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re))))
im
(cos.f64 im)
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))) (cos.f64 im))
#s(literal -1/2 binary64)
(*.f64 im 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)))
#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(literal -1 binary64)
(-.f64 re #s(literal -1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Outputs
re
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) re)) re)
(*.f64 #s(literal -2 binary64) (neg.f64 re))
(*.f64 (neg.f64 re) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re re)) re)
(*.f64 (+.f64 re re) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 1 binary64) (+.f64 re re))
(*.f64 re #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 re re) (*.f64 (neg.f64 re) (neg.f64 re))) (+.f64 re (neg.f64 re)))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (fma.f64 re re (fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 re (neg.f64 re)))))
(/.f64 (-.f64 (*.f64 re re) (*.f64 re re)) (-.f64 re re))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re))))
(neg.f64 (*.f64 #s(literal -2 binary64) re))
(-.f64 re (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 re (*.f64 #s(literal -1 binary64) re))
(-.f64 re (neg.f64 re))
(+.f64 re re)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re (-.f64 re #s(literal -1 binary64)))) (-.f64 re #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 re #s(literal -1 binary64)) re)) re)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) (-.f64 re #s(literal -1 binary64)))) (-.f64 re #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 re re))) (+.f64 re re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) re) re)) re)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re re))) (+.f64 re re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) re) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 re re) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (+.f64 re re) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (-.f64 re #s(literal -1 binary64))) (*.f64 re re)) (-.f64 (-.f64 re #s(literal -1 binary64)) re))
(/.f64 (-.f64 (*.f64 re re) (*.f64 (-.f64 re #s(literal -1 binary64)) (-.f64 re #s(literal -1 binary64)))) (-.f64 re (-.f64 re #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (-.f64 re #s(literal -1 binary64))) (*.f64 (neg.f64 re) (neg.f64 re))) (+.f64 (-.f64 re #s(literal -1 binary64)) (neg.f64 re)))
(/.f64 (-.f64 (*.f64 (+.f64 re re) (+.f64 re re)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (+.f64 re re) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 re re) (*.f64 (-.f64 #s(literal -1 binary64) re) (-.f64 #s(literal -1 binary64) re))) (+.f64 re (-.f64 #s(literal -1 binary64) re)))
(/.f64 (+.f64 (pow.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 (-.f64 re #s(literal -1 binary64)) (-.f64 re #s(literal -1 binary64)) (-.f64 (*.f64 re re) (*.f64 (-.f64 re #s(literal -1 binary64)) re))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 re re (-.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (-.f64 re #s(literal -1 binary64))) (*.f64 re (-.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (fma.f64 (-.f64 re #s(literal -1 binary64)) (-.f64 re #s(literal -1 binary64)) (fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 (-.f64 re #s(literal -1 binary64)) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (+.f64 re re) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 re re) (+.f64 re re) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (+.f64 re re) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) re) #s(literal 3 binary64))) (fma.f64 re re (fma.f64 (-.f64 #s(literal -1 binary64) re) (-.f64 #s(literal -1 binary64) re) (*.f64 re (-.f64 #s(literal -1 binary64) re)))))
(/.f64 (-.f64 (*.f64 (+.f64 re re) (+.f64 re re)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 re re) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -2 binary64) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) re)))
(/.f64 (+.f64 (pow.f64 (+.f64 re re) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 re re) (+.f64 re re) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 re re))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) re) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) re)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 re re) (+.f64 re re))) (-.f64 #s(literal 1 binary64) (+.f64 re re)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 re re) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 re re) (+.f64 re re)) (+.f64 re re))))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) re)))
(neg.f64 (-.f64 #s(literal -1 binary64) (+.f64 re re)))
(neg.f64 (-.f64 (-.f64 #s(literal -1 binary64) re) re))
(neg.f64 (fma.f64 #s(literal -2 binary64) re #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 re) #s(literal 1 binary64))
(fma.f64 (neg.f64 re) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 re re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 re re) #s(literal 1 binary64))
(fma.f64 re #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 (-.f64 re #s(literal -1 binary64)) (neg.f64 re))
(-.f64 (+.f64 re re) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) re))
(-.f64 re (-.f64 #s(literal -1 binary64) re))
(+.f64 (-.f64 re #s(literal -1 binary64)) re)
(+.f64 (fma.f64 #s(literal 2 binary64) re #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (+.f64 re re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 re re)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) re)))
(+.f64 #s(literal 1 binary64) (+.f64 re re))
(+.f64 re (-.f64 re #s(literal -1 binary64)))
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(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(/.f64 (fma.f64 #s(literal 2 binary64) re #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (+.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 re re (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 #s(literal 1 binary64) (neg.f64 re)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 re re (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 re #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) re))
(-.f64 #s(literal 1 binary64) (neg.f64 re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 re)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(PI.f64)
(*.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)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.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)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (PI.f64))))))
(log.f64 (sqrt.f64 (exp.f64 (PI.f64))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(/.f64 (fma.f64 #s(literal 2 binary64) re #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (+.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 re re (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 #s(literal 1 binary64) (neg.f64 re)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 re re (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 re #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) re))
(-.f64 #s(literal 1 binary64) (neg.f64 re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 re)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))

eval44.0ms (1.8%)

Memory
41.8MiB live, 226.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 8 891 to 1 543 computations (82.6% saved)

prune21.0ms (0.9%)

Memory
-21.9MiB live, 68.4MiB allocated; 10ms collecting garbage
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New40311414
Fresh022
Picked505
Done-297
Total40622428
Accuracy
100.0%
Counts
428 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
100.0%
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) (cos.f64 im))
47.4%
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (fma.f64 re #s(literal 2 binary64) #s(literal 1 binary64)))) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
60.9%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
26.8%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
25.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
48.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
26.8%
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #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)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
25.8%
#s(approx (* (exp re) (cos im)) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (PI.f64))))))
24.9%
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
47.4%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
25.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))))
25.4%
#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) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
0.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal 1 binary64))))
25.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
23.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
28.7%
#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))))))
14.2%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
10.1%
#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 343 to 263 computations (23.3% saved)

regimes305.0ms (12.3%)

Memory
-17.5MiB live, 862.6MiB allocated; 156ms collecting garbage
Counts
1 → 1
3 → 1
6 → 2
13 → 1
18 → 3
26 → 3
29 → 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 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
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 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
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 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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))))
#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 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (fma.f64 re #s(literal 2 binary64) #s(literal 1 binary64)))) (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)))
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 7
Inputs
#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 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (fma.f64 re #s(literal 2 binary64) #s(literal 1 binary64)))) (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)))
(*.f64 (sqrt.f64 #s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (PI.f64))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) (cos.f64 im))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

31 calls:

32.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
31.0ms
im
26.0ms
(cos.f64 im)
22.0ms
im
16.0ms
im
Results
AccuracySegmentsBranch
25.4%1im
25.4%1(exp.f64 re)
25.4%1re
25.4%1(*.f64 (exp.f64 re) (cos.f64 im))
25.4%1(cos.f64 im)
26.8%1(cos.f64 im)
26.8%1(*.f64 (exp.f64 re) (cos.f64 im))
26.8%1(exp.f64 re)
26.8%1re
26.8%1im
31.4%2(*.f64 (exp.f64 re) (cos.f64 im))
26.8%1(cos.f64 im)
32.5%2re
32.5%2(exp.f64 re)
60.9%1(cos.f64 im)
60.9%1im
60.9%1(*.f64 (exp.f64 re) (cos.f64 im))
60.9%1(exp.f64 re)
60.9%1re
84.8%3(exp.f64 re)
84.8%3re
75.3%2(cos.f64 im)
85.3%3(exp.f64 re)
85.3%5(*.f64 (exp.f64 re) (cos.f64 im))
85.3%3re
75.5%2im
100.0%1(cos.f64 im)
100.0%1(exp.f64 re)
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1re
100.0%1im
Compiler

Compiled 516 to 227 computations (56.0% saved)

bsearch32.0ms (1.3%)

Memory
-4.6MiB live, 87.7MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
4507.457749717793
1927604479855.3357
11.0ms
-0.00035738584217267605
-1.0153983690342242e-5
Samples
15.0ms256×0valid
Compiler

Compiled 344 to 330 computations (4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 6.0ms (64.9% of total)
ival-exp: 2.0ms (21.6% of total)
ival-mult!: 1.0ms (10.8% of total)
adjust: 0.0ms (0.0% of total)

bsearch19.0ms (0.8%)

Memory
-2.2MiB live, 49.5MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
4507.457749717793
1927604479855.3357
1.0ms
-0.00035738584217267605
-1.0153983690342242e-5
Samples
7.0ms128×0valid
Compiler

Compiled 328 to 314 computations (4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 3.0ms (70.2% of total)
ival-exp: 1.0ms (23.4% of total)
ival-mult!: 1.0ms (23.4% of total)
adjust: 0.0ms (0.0% of total)

bsearch7.0ms (0.3%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
-356.8073402012618
-189.40409896381638
Samples
4.0ms64×0valid
Compiler

Compiled 160 to 138 computations (13.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (47.1% of total)
ival-cos: 1.0ms (47.1% of total)
adjust: 0.0ms (0.0% of total)
ival-mult!: 0.0ms (0.0% of total)

derivations46.0ms (1.9%)

Memory
-11.7MiB live, 79.1MiB allocated; 12ms collecting garbage
Stop Event
fuel
Compiler

Compiled 171 to 49 computations (71.3% saved)

preprocess88.0ms (3.5%)

Memory
13.2MiB live, 155.7MiB allocated; 22ms collecting garbage
Compiler

Compiled 518 to 270 computations (47.9% saved)

end0.0ms (0.0%)

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

Profiling

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