math.exp on complex, real part

Time bar (total: 2.2s)

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)

sample826.0ms (36.8%)

Memory
-13.4MiB live, 1 223.5MiB allocated; 307ms collecting garbage
Samples
514.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 310.0ms
ival-cos: 205.0ms (66.2% of total)
ival-exp: 66.0ms (21.3% of total)
ival-mult!: 37.0ms (12.0% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess36.0ms (1.6%)

Memory
-6.9MiB live, 42.3MiB allocated; 12ms 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 (0.5%)

Memory
26.9MiB live, 26.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

6 calls:

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

rewrite135.0ms (6.0%)

Memory
-15.4MiB live, 264.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval32.0ms (1.4%)

Memory
20.4MiB live, 70.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 5 313 to 977 computations (81.6% saved)

prune9.0ms (0.4%)

Memory
-25.6MiB live, 21.1MiB allocated; 2ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2675272
Fresh000
Picked011
Done000
Total2676273
Accuracy
100.0%
Counts
273 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.5%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.1%
(*.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))))))
51.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
51.7%
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 107 to 91 computations (15.0% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB 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)

series26.0ms (1.2%)

Memory
12.1MiB live, 57.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0220929
Stop Event
iter-limit
Counts
23 → 44
Calls
Call 1
Inputs
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
re
(cosh.f64 re)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 re)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 re (cos.f64 im))
Outputs
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (cos.f64 im))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (+ (sinh re) (cosh 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 (* (+ (sinh re) (cosh re)) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64))
#s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (sinh re) 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 (* re (cos im)) (*.f64 re (cos.f64 im)))
#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 (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 (+ (cos im) (* re (cos im))) (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
#s(approx (+ (cos im) (* re (cos im))) (*.f64 #s(literal -1 binary64) (*.f64 re (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))))))
#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 (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx im im)
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (cos im) (* re (cos im))) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))))))
#s(approx (+ (cos im) (* re (cos im))) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) re)))) #s(literal 1/2 binary64))))))
#s(approx (+ (cos im) (* re (cos im))) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/24 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64))))))
#s(approx (* re (cos im)) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (* re (cos im)) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (* re (cos im)) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 #s(literal 1/24 binary64) 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
4.0ms
re
-inf
3.0ms
re
inf
3.0ms
im
inf
2.0ms
im
-inf
2.0ms
re
0

rewrite131.0ms (5.9%)

Memory
31.1MiB live, 263.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026114
041106
1153106
2531106
33036106
04036103
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 503
Calls
Call 1
Inputs
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
re
(cosh.f64 re)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 re)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 re (cos.f64 im))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re)))) (*.f64 (cos.f64 im) (cosh.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re)))) (*.f64 (cos.f64 im) (sinh.f64 re)))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(/.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 4 binary64))
(/.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) (cos.f64 im)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re))) (*.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re)))) (-.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re))) (*.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re)))) (-.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re)) (-.f64 (*.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re))) (*.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re)) (-.f64 (*.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re))) (*.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re))))))
(neg.f64 (*.f64 (neg.f64 (exp.f64 re)) (cos.f64 im)))
(neg.f64 (*.f64 (cos.f64 im) (neg.f64 (exp.f64 re))))
(fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (sinh.f64 re)))
(fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (cosh.f64 re)))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (cos.f64 im) (cosh.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (cos.f64 im) (sinh.f64 re)))
(fma.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (cos.f64 im) (sinh.f64 re)))
(fma.f64 (cos.f64 im) (sinh.f64 re) (*.f64 (cos.f64 im) (cosh.f64 re)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (cos.f64 im) (sinh.f64 re)))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cos.f64 im) (cosh.f64 re)))
(-.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)))
(-.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(-.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (neg.f64 (*.f64 (cos.f64 im) (sinh.f64 re))))
(-.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (neg.f64 (cos.f64 im)) (cosh.f64 re)))
(-.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (neg.f64 (cosh.f64 re)) (cos.f64 im)))
(-.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (neg.f64 (*.f64 (cos.f64 im) (cosh.f64 re))))
(+.f64 (*.f64 (exp.f64 re) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(+.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (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))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cosh.f64 re)) (sinh.f64 re))) (sinh.f64 re))
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(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re)) (*.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cos.f64 im)))) (+.f64 (*.f64 (cos.f64 im) re) (neg.f64 (cos.f64 im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re) (fma.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) (neg.f64 (cos.f64 im))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re)) (*.f64 (cos.f64 im) (cos.f64 im))) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (-.f64 (*.f64 (cos.f64 im) (cos.f64 im)) (*.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im)))) (+.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re) (-.f64 (*.f64 (cos.f64 im) (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (fma.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))))
(/.f64 (-.f64 (*.f64 (cos.f64 im) (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 re) #s(literal 1 binary64)) (cos.f64 im)))
(neg.f64 (*.f64 (cos.f64 im) (-.f64 (neg.f64 re) #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re)))
(neg.f64 (neg.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 im))) re (neg.f64 (neg.f64 (cos.f64 im))))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 im))) re (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 im))) re (cos.f64 im))
(fma.f64 (neg.f64 (cos.f64 im)) (neg.f64 re) (neg.f64 (neg.f64 (cos.f64 im))))
(fma.f64 (neg.f64 (cos.f64 im)) (neg.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (cos.f64 im)) (neg.f64 re) (cos.f64 im))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 re #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 re #s(literal -1 binary64))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im))))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(fma.f64 (neg.f64 re) (neg.f64 (cos.f64 im)) (neg.f64 (neg.f64 (cos.f64 im))))
(fma.f64 (neg.f64 re) (neg.f64 (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 re) (neg.f64 (cos.f64 im)) (cos.f64 im))
(fma.f64 (-.f64 re #s(literal -1 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (-.f64 re #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) re (neg.f64 (neg.f64 (cos.f64 im))))
(fma.f64 (cos.f64 im) re (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (neg.f64 (cos.f64 im))))
(fma.f64 re (neg.f64 (neg.f64 (cos.f64 im))) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 re (neg.f64 (neg.f64 (cos.f64 im))) (cos.f64 im))
(fma.f64 re (cos.f64 im) (neg.f64 (neg.f64 (cos.f64 im))))
(fma.f64 re (cos.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(-.f64 (*.f64 (cos.f64 im) re) (neg.f64 (cos.f64 im)))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im)))
(+.f64 (fma.f64 (cos.f64 im) re (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (-.f64 re #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 re #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (cos.f64 im) re))
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im))))
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 im) re) (neg.f64 (neg.f64 (cos.f64 im))))
(+.f64 (*.f64 (cos.f64 im) re) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.f64 (neg.f64 (neg.f64 (cos.f64 im))) re)
(*.f64 (neg.f64 (cos.f64 im)) (neg.f64 re))
(*.f64 (neg.f64 re) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) re)
(*.f64 re (neg.f64 (neg.f64 (cos.f64 im))))
(*.f64 re (cos.f64 im))
(neg.f64 (*.f64 (neg.f64 re) (cos.f64 im)))
(fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) re (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) re))
(fma.f64 re (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 re (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 re (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 re (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) re) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) re))

eval110.0ms (4.9%)

Memory
-14.0MiB live, 135.0MiB allocated; 47ms collecting garbage
Compiler

Compiled 10 964 to 1 854 computations (83.1% saved)

prune18.0ms (0.8%)

Memory
-4.9MiB live, 40.0MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New5749583
Fresh000
Picked325
Done011
Total57712589
Accuracy
100.0%
Counts
589 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.5%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.1%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.7%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
30.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))))
29.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
33.6%
(*.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))))))
51.7%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
29.1%
#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))
32.3%
#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))))))
31.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
Compiler

Compiled 269 to 223 computations (17.1% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB 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)

series43.0ms (1.9%)

Memory
-6.1MiB live, 47.3MiB allocated; 37ms 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
4.0ms
im
0
2.0ms
re
inf
2.0ms
re
-inf
2.0ms
im
inf
2.0ms
im
-inf

rewrite160.0ms (7.1%)

Memory
29.4MiB live, 218.3MiB allocated; 27ms 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)))
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eval62.0ms (2.8%)

Memory
2.4MiB live, 94.4MiB allocated; 9ms collecting garbage
Compiler

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

prune18.0ms (0.8%)

Memory
-3.6MiB live, 42.4MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New4737480
Fresh134
Picked325
Done033
Total47715492
Accuracy
100.0%
Counts
492 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.5%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.1%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.7%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
29.4%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
28.6%
(*.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)))))
33.6%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.9%
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
51.7%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (PI.f64))))))
28.3%
#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))
31.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
32.3%
#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 346 to 291 computations (15.9% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/2
1
(* 1/2 (PI))
1/2
(PI)
-1
Outputs
#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 -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 10 to 8 computations (20.0% saved)

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

series20.0ms (0.9%)

Memory
-20.9MiB live, 30.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0224863
Stop Event
iter-limit
Counts
24 → 47
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(cos.f64 im)
im
re
#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 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (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)
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 re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) im))) (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ (* (cos im) re) (cos im)) (*.f64 re (cos.f64 im)))
#s(approx (+ (* (cos im) re) (cos im)) (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) 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) re) (cos im)) (*.f64 #s(literal -1 binary64) (*.f64 re (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) 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) re) (cos im)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))))))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) re)))) #s(literal 1/2 binary64))))))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/24 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64))))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (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 (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* im im)) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (PI)) im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (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
6.0ms
im
0
1.0ms
re
-inf
1.0ms
re
inf
1.0ms
im
-inf
1.0ms
im
inf

rewrite200.0ms (8.9%)

Memory
31.9MiB live, 307.5MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030134
046128
1164128
2546128
32931128
05715128
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 366
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(cos.f64 im)
im
re
#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 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (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)
Outputs
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (cos.f64 im))) (cos.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))) (cos.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))) (*.f64 (cos.f64 im) re))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))) (*.f64 (cos.f64 im) re))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (cos.f64 im) (cos.f64 im)) (*.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im)))) (+.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (fma.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))))
(/.f64 (-.f64 (*.f64 (cos.f64 im) (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re)) (*.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cos.f64 im)))) (+.f64 (*.f64 (cos.f64 im) re) (neg.f64 (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re) (fma.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) (neg.f64 (cos.f64 im))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re)) (*.f64 (cos.f64 im) (cos.f64 im))) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) re) (-.f64 (*.f64 (cos.f64 im) (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) re) (cos.f64 im)))
(neg.f64 (-.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (cos.f64 im)))
(neg.f64 (neg.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) re)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im))))
(fma.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 im)) #s(literal 1/2 binary64) (fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) re)))
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im
re
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(-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64) (+.f64 (cos.f64 im) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.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)))) (neg.f64 (cos.f64 im)))
(/.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 (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 (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 (neg.f64 (cos.f64 im)))
(sin.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (PI.f64) 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)) im) (PI.f64)))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (PI.f64) im)) (PI.f64)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 im)))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (+.f64 (cos.f64 im) (cos.f64 im)) #s(literal 1/2 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 im)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(cos.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (PI.f64) im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 im) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) im) (PI.f64)))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)) im)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)) im)
(*.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 #s(literal 2 binary64) im (PI.f64)) #s(literal 1/2 binary64))
(*.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 (fma.f64 im #s(literal -2 binary64) (neg.f64 (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)))) (-.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)))) (+.f64 im (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 im im (fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 im (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) im (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 im im)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 im im (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.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 (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)))))
(/.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)) (-.f64 (*.f64 im im) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (PI.f64))))
(neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) im)
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) im)
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) im)
(fma.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) im)
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) im)
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) im)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) im)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) im)
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) im)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) im)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) im)
(fma.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (PI.f64))) im)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) im)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 im))
(-.f64 im (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)
(+.f64 im (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(+.f64 im (*.f64 (PI.f64) #s(literal 1/2 binary64)))

eval49.0ms (2.2%)

Memory
1.1MiB live, 101.1MiB allocated; 13ms collecting garbage
Compiler

Compiled 8 959 to 1 433 computations (84.0% saved)

prune31.0ms (1.4%)

Memory
-18.1MiB live, 27.6MiB allocated; 3ms collecting garbage
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New4006406
Fresh055
Picked145
Done055
Total40120421
Accuracy
100.0%
Counts
421 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.5%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.1%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.7%
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
29.4%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
28.6%
(*.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)))))
33.6%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.9%
#s(approx (* (exp re) (sin (+ (* 1/2 (PI)) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
51.7%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
29.1%
#s(approx (* (exp re) (cos im)) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (PI.f64))))))
28.3%
#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))
3.9%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (*.f64 re (cos.f64 im))))
31.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
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))))
31.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
32.3%
#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))))))
21.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
12.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
Compiler

Compiled 292 to 235 computations (19.5% saved)

regimes134.0ms (6.0%)

Memory
7.6MiB live, 286.7MiB allocated; 22ms collecting garbage
Counts
1 → 1
2 → 1
4 → 2
10 → 1
16 → 3
24 → 3
28 → 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) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 4
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (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)) (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))))
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) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (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)) (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)) #s(approx (+ (* (cos im) re) (cos im)) (*.f64 re (cos.f64 im))))
#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)))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 6
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (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)) (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)) #s(approx (+ (* (cos im) re) (cos im)) (*.f64 re (cos.f64 im))))
#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 (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 #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))))
#s(approx (* (exp re) (cos im)) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (PI.f64))))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Call 7
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (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)) (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)) #s(approx (+ (* (cos im) re) (cos im)) (*.f64 re (cos.f64 im))))
#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 (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 #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))))
#s(approx (* (exp re) (cos im)) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) im (PI.f64))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

31 calls:

9.0ms
re
9.0ms
(cos.f64 im)
8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms
im
7.0ms
im
Results
AccuracySegmentsBranch
31.4%1im
31.4%1(exp.f64 re)
31.4%1re
31.4%1(*.f64 (exp.f64 re) (cos.f64 im))
31.4%1(cos.f64 im)
33.6%1(cos.f64 im)
33.6%1(*.f64 (exp.f64 re) (cos.f64 im))
33.6%1re
33.6%1(exp.f64 re)
33.6%1im
33.6%1(cos.f64 im)
39.5%2(exp.f64 re)
39.5%3(*.f64 (exp.f64 re) (cos.f64 im))
39.5%2re
61.1%1(cos.f64 im)
61.1%1im
61.1%1(*.f64 (exp.f64 re) (cos.f64 im))
61.1%1(exp.f64 re)
61.1%1re
84.9%3(exp.f64 re)
84.9%3re
72.4%2(cos.f64 im)
85.1%3(exp.f64 re)
85.1%5(*.f64 (exp.f64 re) (cos.f64 im))
85.1%3re
73.2%2im
100.0%1(cos.f64 im)
100.0%1(exp.f64 re)
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1re
100.0%1im
Compiler

Compiled 469 to 209 computations (55.4% saved)

bsearch31.0ms (1.4%)

Memory
3.3MiB live, 53.0MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
9.413819202251732
12245.360646157587
12.0ms
-7.589182876818137
-0.00477100133566476
Samples
20.0ms256×0valid
Compiler

Compiled 344 to 330 computations (4.1% saved)

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

bsearch25.0ms (1.1%)

Memory
-1.7MiB live, 43.1MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.914669945224811e-15
2.0779084395926258e-13
9.0ms
-7.589182876818137
-0.00477100133566476
Samples
15.0ms208×0valid
Compiler

Compiled 308 to 295 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 4.0ms (57.6% of total)
ival-exp: 2.0ms (28.8% of total)
ival-mult!: 1.0ms (14.4% of total)
adjust: 0.0ms (0.0% of total)

bsearch0.0ms (0.0%)

Memory
0.5MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.0892272414801446e-27
Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations41.0ms (1.8%)

Memory
8.4MiB live, 54.2MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 172 to 51 computations (70.3% saved)

preprocess91.0ms (4.1%)

Memory
-22.0MiB live, 84.6MiB allocated; 22ms collecting garbage
Compiler

Compiled 521 to 272 computations (47.8% saved)

end0.0ms (0.0%)

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

Profiling

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