math.exp on complex, real part

Time bar (total: 2.7s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 7 to 7 computations (0.0% saved)

sample1.2s (43.6%)

Memory
-13.6MiB live, 1 445.3MiB allocated; 1.1s collecting garbage
Samples
985.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 733.0ms
ival-cos: 556.0ms (75.9% of total)
ival-exp: 95.0ms (13.0% of total)
ival-mult!: 80.0ms (10.9% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess38.0ms (1.4%)

Memory
-25.0MiB live, 63.4MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

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

(abs im)

Compiler

Compiled 10 to 10 computations (0.0% saved)

sample0.0ms (0.0%)

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

series11.0ms (0.4%)

Memory
31.6MiB live, 31.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

6 calls:

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

rewrite156.0ms (5.7%)

Memory
-19.7MiB live, 276.3MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval32.0ms (1.2%)

Memory
-4.3MiB live, 84.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 5 313 to 977 computations (81.6% saved)

prune5.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2684272
Fresh000
Picked011
Done000
Total2685273
Accuracy
100.0%
Counts
273 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
51.6%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 43 to 39 computations (9.3% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB 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)

series23.0ms (0.8%)

Memory
3.4MiB live, 49.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165703
Stop Event
iter-limit
Counts
20 → 35
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 re)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
(cosh.f64 re)
Outputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx re re)
#s(approx (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 (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (*.f64 (cos.f64 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) (cosh re)) (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) (*.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 (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx im im)
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (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)))))) (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) (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 -1/2 binary64) (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))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (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) (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 -1/2 binary64) (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))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (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)))))) (*.f64 #s(literal 1/24 binary64) (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 (+ 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
6.0ms
re
-inf
2.0ms
re
inf
2.0ms
im
inf
2.0ms
im
-inf
1.0ms
re
0

rewrite146.0ms (5.3%)

Memory
-22.0MiB live, 214.1MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02390
03684
112584
244684
3280084
0402981
Stop Event
iter-limit
node-limit
iter-limit
Counts
20 → 496
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 re)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
(cosh.f64 re)
Outputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (sin.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(-.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
im
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 re #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 re re (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 re #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (+.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 re re (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 #s(literal 1 binary64) (neg.f64 re)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(neg.f64 (-.f64 #s(literal -1 binary64) re))
(neg.f64 (-.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 0 binary64))
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(/.f64 (fma.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64) (exp.f64 (neg.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)))) (sinh.f64 re))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (exp.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 re)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 re)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (cosh.f64 re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 re) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (cosh.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (*.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 re) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (sinh.f64 re) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (cosh.f64 re)) (exp.f64 (neg.f64 re))) #s(literal 2 binary64)))
(-.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 re))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 re) (sinh.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 re) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 re)) (cosh.f64 re)) #s(literal 2 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)))

eval50.0ms (1.8%)

Memory
34.9MiB live, 125.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 9 524 to 1 636 computations (82.8% saved)

prune16.0ms (0.6%)

Memory
-2.7MiB live, 43.1MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New4938501
Fresh000
Picked224
Done011
Total49511506
Accuracy
100.0%
Counts
506 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.6%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
29.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
30.5%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
29.4%
(*.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))))))
30.3%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
29.9%
#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))))))
28.9%
#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 245 to 207 computations (15.5% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB 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)

series35.0ms (1.3%)

Memory
-11.0MiB live, 60.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02511154
Stop Event
iter-limit
Counts
27 → 58
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))
(neg.f64 im)
Outputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx re re)
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)) (*.f64 re (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)) (*.f64 re (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im))))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)) (*.f64 re (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))))))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (*.f64 (exp.f64 re) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (*.f64 (exp.f64 re) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx im im)
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (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 (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (fma.f64 #s(literal -1 binary64) (*.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)) (neg im)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (*.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 (exp.f64 re) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* 1/2 (PI)) (neg im))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* 1/2 (PI)) (neg im))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* 1/2 (PI)) (neg im))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* 1/2 (PI)) (neg im)) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (+ (* (* 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)) (neg im)) (*.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 (+ (* 1/2 (PI)) im) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (*.f64 (exp.f64 re) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im)))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (*.f64 (exp.f64 re) (sin.f64 (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* 1/2 (PI)) (neg im))) (sin.f64 (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/2 (PI)) (neg im)) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im))))))
Calls

6 calls:

TimeVariablePoint
16.0ms
im
inf
2.0ms
re
inf
2.0ms
re
-inf
2.0ms
im
-inf
2.0ms
im
0

rewrite173.0ms (6.4%)

Memory
-28.1MiB live, 204.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030147
049142
1203127
2655127
33192127
04356127
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 447
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))
(neg.f64 im)
Outputs
(*.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)))
(-.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 re)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (neg.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))))
(+.f64 (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(+.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(*.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))
re
#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) (*.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 (fabs.f64 im) #s(literal -1/2 binary64)) (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 (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 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 im (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (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) (/.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) #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 (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 (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 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.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 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.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 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (-.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)))
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(+.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) (/.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 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.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 #s(literal 2 binary64) (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)))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) 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 (sin.f64 (-.f64 im (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (sin.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(neg.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(sin.f64 (-.f64 (*.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 (+.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 (*.f64 #s(literal 2 binary64) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (*.f64 #s(literal 2 binary64) (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 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (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 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(cos.f64 (fabs.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(cos.f64 (fabs.f64 im))
(cos.f64 (neg.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)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 im))) (neg.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 im))) (neg.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (neg.f64 im) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 im) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(/.f64 (-.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 im im) (fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(/.f64 (+.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 im im (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 im im)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (*.f64 im im) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 im)))))
(neg.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im))
(neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 im)))
(neg.f64 (-.f64 im (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (neg.f64 im))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (neg.f64 im))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 im))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 im))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 im))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 im))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (PI.f64))) (neg.f64 im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)) (neg.f64 im))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)
(-.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 im))
(+.f64 (neg.f64 im) (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 im)

eval53.0ms (1.9%)

Memory
41.7MiB live, 133.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 689 to 1 551 computations (84.0% saved)

prune39.0ms (1.4%)

Memory
-10.9MiB live, 38.4MiB allocated; 12ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New4746480
Fresh123
Picked325
Done033
Total47813491
Accuracy
100.0%
Counts
491 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.6%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
30.5%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
28.3%
(*.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)))))
29.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
28.9%
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
30.3%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
28.1%
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
28.9%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
29.9%
#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 292 to 249 computations (14.7% saved)

sample0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
-1/2
1
(* 1/2 (PI))
1/2
(PI)
2
1/24
Outputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 2 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
Samples
0.0ms0valid
Compiler

Compiled 12 to 10 computations (16.7% saved)

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

series30.0ms (1.1%)

Memory
-8.5MiB live, 37.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0201891
Stop Event
iter-limit
Counts
31 → 49
Calls
Call 1
Inputs
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(cos.f64 im)
im
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
re
#s(literal -1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 im im)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (sin.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 (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(*.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)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal 1/24 binary64)
Outputs
#s(approx (* (cos im) (exp re)) (cos.f64 im))
#s(approx (* (cos im) (exp re)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (cos im) (exp re)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (cos im) (exp re)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx re re)
#s(approx (* (exp re) (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 (* (cos im) (exp re)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (- re -1) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (*.f64 (exp.f64 re) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (cos im) (exp re)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (cos im) (exp re)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (cos im) (exp re)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx im im)
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (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 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (* 1/24 (pow im 2)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (pow im 2)) 1/2) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (pow im 2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* im im)) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (- (* 1/24 (pow im 2)) 1/2) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sin (+ (* 1/2 (PI)) im)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (* (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
15.0ms
im
0
2.0ms
im
inf
2.0ms
im
-inf
2.0ms
re
inf
1.0ms
re
-inf

rewrite171.0ms (6.3%)

Memory
10.4MiB live, 280.6MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037203
053203
1209203
2643203
32574203
04056191
Stop Event
iter-limit
node-limit
iter-limit
Counts
31 → 461
Calls
Call 1
Inputs
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(cos.f64 im)
im
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
re
#s(literal -1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 im im)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (sin.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 (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(*.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)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal 1/24 binary64)
Outputs
(*.f64 (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))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (sin.f64 (-.f64 im (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))))
(neg.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) #s(literal -2 binary64))))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)))
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 im)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 im)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (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 (sin.f64 im) (cos.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(-.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal -1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
im
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (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 re #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 (*.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))
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(fma.f64 (*.f64 (neg.f64 im) #s(literal 1/24 binary64)) (*.f64 (neg.f64 im) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) (*.f64 (fabs.f64 im) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (fabs.f64 im) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (fabs.f64 im) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (fabs.f64 im) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 (neg.f64 im) (*.f64 (*.f64 (neg.f64 im) #s(literal 1/24 binary64)) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 (fabs.f64 im) (*.f64 (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 im im) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) im) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(fma.f64 im (*.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 im (*.f64 im (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 im (*.f64 #s(literal -1/2 binary64) im) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(fma.f64 im (*.f64 #s(literal -1/2 binary64) im) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(fma.f64 im (*.f64 #s(literal -1/2 binary64) im) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(-.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) im)))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 #s(literal 1/24 binary64) im)))
(*.f64 (pow.f64 (*.f64 im im) #s(literal 0 binary64)) (*.f64 im im))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 im))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 im))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 im))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.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 (neg.f64 (neg.f64 (fabs.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 (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 (neg.f64 (neg.f64 (fabs.f64 im))) (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) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (*.f64 im im) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 0 binary64)))
(*.f64 (*.f64 im im) (pow.f64 (neg.f64 im) #s(literal 0 binary64)))
(*.f64 (*.f64 im im) (pow.f64 (fabs.f64 im) #s(literal 0 binary64)))
(*.f64 (*.f64 im im) (pow.f64 im #s(literal 0 binary64)))
(*.f64 (*.f64 im im) (pow.f64 (*.f64 im im) #s(literal 0 binary64)))
(*.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 (*.f64 im im) #s(literal 0 binary64)) (pow.f64 (*.f64 im im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal -1 binary64)))
(/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(/.f64 (*.f64 im im) (pow.f64 (*.f64 im im) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(/.f64 (+.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (-.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 im)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (neg.f64 im) #s(literal 1/24 binary64)) (neg.f64 im) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) (fabs.f64 im) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 im (*.f64 #s(literal 1/24 binary64) im) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 im im)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 im)))
(*.f64 (*.f64 (neg.f64 im) #s(literal 1/24 binary64)) (neg.f64 im))
(*.f64 (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) (fabs.f64 im))
(*.f64 (*.f64 #s(literal 1/24 binary64) im) im)
(*.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal 1/24 binary64)))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1/24 binary64)))
(*.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(*.f64 im (*.f64 #s(literal 1/24 binary64) im))
(neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im im)))
#s(literal 1/24 binary64)

eval67.0ms (2.5%)

Memory
9.9MiB live, 158.6MiB allocated; 48ms collecting garbage
Compiler

Compiled 10 686 to 1 952 computations (81.7% saved)

prune20.0ms (0.7%)

Memory
4.5MiB live, 48.9MiB allocated; 5ms collecting garbage
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New45511466
Fresh123
Picked325
Done055
Total45920479
Accuracy
100.0%
Counts
479 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
30.5%
(*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.6%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
28.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
29.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
28.9%
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
30.3%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
28.1%
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
29.9%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
29.9%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
26.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
28.9%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
28.9%
#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))))
28.9%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.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))))
28.9%
#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))))
18.1%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
Compiler

Compiled 306 to 243 computations (20.6% saved)

regimes222.0ms (8.2%)

Memory
-12.2MiB live, 449.3MiB allocated; 96ms collecting garbage
Counts
1 → 1
2 → 1
4 → 2
5 → 3
14 → 3
20 → 3
28 → 3
30 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
Call 2
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 3
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
Call 4
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
Call 5
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(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) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) #s(literal 884279719003555/562949953421312 binary64))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 6
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(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) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#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)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.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))))
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 7
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(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) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#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)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.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 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 #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 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 8
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(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) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#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)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* 1/2 (PI)) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.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 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 #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 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

35 calls:

31.0ms
im
16.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
15.0ms
(cos.f64 im)
11.0ms
(cos.f64 im)
11.0ms
re
Results
AccuracySegmentsBranch
28.9%1(exp.f64 re)
28.9%1(*.f64 (exp.f64 re) (cos.f64 im))
28.9%1im
28.9%1re
28.9%1(cos.f64 im)
29.4%1im
29.4%1(exp.f64 re)
29.4%1re
29.4%1(cos.f64 im)
29.4%1(*.f64 (exp.f64 re) (cos.f64 im))
29.9%1(exp.f64 re)
29.9%1re
34.1%2(*.f64 (exp.f64 re) (cos.f64 im))
29.9%1im
45.1%3(*.f64 (exp.f64 re) (cos.f64 im))
41.0%2(exp.f64 re)
41.0%2re
34.1%2(cos.f64 im)
61.7%1im
64.9%3(cos.f64 im)
61.7%1(*.f64 (exp.f64 re) (cos.f64 im))
61.7%1(exp.f64 re)
61.7%1re
86.7%3(exp.f64 re)
86.7%3re
76.4%2(cos.f64 im)
86.8%3(exp.f64 re)
86.8%5(*.f64 (exp.f64 re) (cos.f64 im))
86.8%3re
76.4%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 530 to 237 computations (55.3% saved)

bsearch33.0ms (1.2%)

Memory
38.7MiB live, 84.4MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
95386870452.4999
6.713335478487611e+32
13.0ms
-9230155774074597000.0
-14326300930083522.0
Samples
20.0ms304×0valid
Compiler

Compiled 407 to 390 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 9.0ms (68.3% of total)
ival-exp: 3.0ms (22.8% of total)
ival-mult!: 1.0ms (7.6% of total)
adjust: 0.0ms (0.0% of total)

bsearch85.0ms (3.1%)

Memory
-56.0MiB live, 72.8MiB allocated; 110ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
70.0ms
95386870452.4999
6.713335478487611e+32
13.0ms
-9230155774074597000.0
-14326300930083522.0
Samples
70.0ms272×0valid
Compiler

Compiled 388 to 371 computations (4.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 5.0ms (56.5% of total)
ival-exp: 2.0ms (22.6% of total)
ival-mult!: 1.0ms (11.3% of total)
adjust: 0.0ms (0.0% of total)

bsearch0.0ms (0.0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9968068968705971
0.9969043725890465
0.0ms
0.18808332012890364
0.2670188163942601
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.14200977924056643
0.0ms
-0.07230167280780891
0.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.07230167280780891
0.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations62.0ms (2.3%)

Memory
24.5MiB live, 117.9MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 303 to 71 computations (76.6% saved)

preprocess67.0ms (2.5%)

Memory
-2.2MiB live, 187.1MiB allocated; 21ms collecting garbage
Compiler

Compiled 914 to 422 computations (53.8% saved)

end0.0ms (0.0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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