math.exp on complex, real part

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample988.0ms (33.7%)

Memory
10.1MiB live, 835.4MiB allocated; 921ms collecting garbage
Samples
776.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 557.0ms
ival-cos: 446.0ms (80.1% of total)
ival-exp: 68.0ms (12.2% of total)
ival-mult!: 41.0ms (7.4% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess27.0ms (0.9%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01634
15134
213832
341732
4162932
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
5 → 17
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)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
re
@inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
im
@0
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
re
@0
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
im
@inf
((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite204.0ms (7%)

Memory
-12.3MiB live, 176.5MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085266
087265
1528254
05119234
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 37
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re)))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 re)
re
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im) (*.f64 (*.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) im) im) im) im)))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))

eval3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 244 to 127 computations (48% saved)

prune4.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New25732
Fresh000
Picked011
Done000
Total25833
Accuracy
100.0%
Counts
33 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
64.9%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
63.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
63.5%
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
49.8%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
74.0%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
48.4%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 149 to 143 computations (4% saved)

series22.0ms (0.8%)

Memory
-14.8MiB live, 31.4MiB allocated; 4ms collecting garbage
Counts
25 → 59
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(exp.f64 re)
re
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 im)
im
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 im)
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* 1/2 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* re (+ (* 1/6 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (sin (* 1/2 (PI))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (* (cos (* 1/2 (PI))) (exp re))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* -1/2 (* im (* (exp re) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* im (+ (* -1/2 (* (exp re) (sin (* 1/2 (PI))))) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* (pow im 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (* (pow im 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (sin (* 1/2 (PI))))) (* 1/24 (sin (* 1/2 (PI)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (* (cos im) (sin (* 1/2 (PI))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
im
@0
((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms
re
@inf
((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms
im
@inf
((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms
im
@-inf
((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms
re
@-inf
((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)

rewrite192.0ms (6.6%)

Memory
-11.0MiB live, 186.6MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731445
02971206
116861105
084031041
Stop Event
iter-limit
node-limit
iter-limit
Counts
84 → 192
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(exp.f64 re)
re
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 im)
im
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 im)
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* 1/2 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* re (+ (* 1/6 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (sin (* 1/2 (PI))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (* (cos (* 1/2 (PI))) (exp re))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* -1/2 (* im (* (exp re) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* im (+ (* -1/2 (* (exp re) (sin (* 1/2 (PI))))) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* (pow im 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (* (pow im 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (sin (* 1/2 (PI))))) (* 1/24 (sin (* 1/2 (PI)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (* (cos im) (sin (* 1/2 (PI))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (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 (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)))))))
(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 (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 (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 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 re)
re
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64))) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 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 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(sin.f64 im)
im
#s(literal 0 binary64)
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
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#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) 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))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 re (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) re) #s(literal 1/6 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (cos im) (- re -1)) (cos.f64 im))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) im (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos im)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re) (*.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) im) #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) im) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (cos im) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos im) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos im) (fma.f64 im (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) im) #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos im) (fma.f64 im (fma.f64 im (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) im) #s(literal -1/6 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin im) im)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (* (cos im) (sin (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/24 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) (*.f64 im im) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 im im))) (*.f64 im im) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))) (*.f64 im im) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (cos im) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (cos im) (sin (/ (PI) 2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))

eval21.0ms (0.7%)

Memory
0.3MiB live, 45.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 897 to 714 computations (62.4% saved)

prune8.0ms (0.3%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1597166
Fresh022
Picked235
Done011
Total16113174
Accuracy
100.0%
Counts
174 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
32.5%
(*.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))))
30.6%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
63.5%
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
49.4%
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
49.8%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
74.0%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
48.4%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
49.6%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
39.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
28.6%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 239 to 227 computations (5% saved)

series13.0ms (0.5%)

Memory
-21.5MiB live, 24.3MiB allocated; 6ms collecting garbage
Counts
22 → 57
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #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) (+.f64 #s(literal 1 binary64) 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)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (cos im))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* 1/2 (* re (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* re (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (cos im) re)) (* -1/2 (cos im)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* 1/24 (* (pow im 2) (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/24 (+ 1 (* 1/2 re)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* (cos im) (+ 1 (* 1/2 re)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
im
@-inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))
2.0ms
re
@-inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))
2.0ms
im
@inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))
2.0ms
re
@inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))
1.0ms
im
@0
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))

rewrite227.0ms (7.7%)

Memory
44.5MiB live, 231.4MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02301210
02451163
113931159
082441124
Stop Event
iter-limit
node-limit
iter-limit
Counts
79 → 201
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #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) (+.f64 #s(literal 1 binary64) 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)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (cos im))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* 1/2 (* re (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* re (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (cos im) re)) (* -1/2 (cos im)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* 1/24 (* (pow im 2) (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/24 (+ 1 (* 1/2 re)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* (cos im) (+ 1 (* 1/2 re)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Outputs
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))))) (+.f64 (cos.f64 im) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (fma.f64 (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))) (*.f64 (cos.f64 im) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (cos.f64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)))
#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ 1 re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (*.f64 (*.f64 re re) (cos.f64 im)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (*.f64 re re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 im) (*.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) re))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))
#s(approx (+ 1 re) re)
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re))) (*.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (neg.f64 (*.f64 (fma.f64 (cos.f64 im) #s(literal -1/2 binary64) (/.f64 (neg.f64 (cos.f64 im)) re)) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64)) (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/720 binary64)) (*.f64 im im))) (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re) (cos.f64 im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))

eval74.0ms (2.5%)

Memory
-26.0MiB live, 79.4MiB allocated; 15ms collecting garbage
Compiler

Compiled 3 276 to 1 053 computations (67.9% saved)

prune15.0ms (0.5%)

Memory
-12.4MiB live, 34.0MiB allocated; 4ms collecting garbage
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New2656271
Fresh134
Picked145
Done044
Total26717284
Accuracy
100.0%
Counts
284 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
8.6%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
30.6%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
63.5%
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
54.0%
#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
49.4%
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
49.8%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
74.0%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
48.4%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
49.6%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
39.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
13.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
26.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
13.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
28.6%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 377 to 350 computations (7.2% saved)

series38.0ms (1.3%)

Memory
38.8MiB live, 82.6MiB allocated; 4ms collecting garbage
Counts
37 → 146
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)))
(-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(*.f64 (cos.f64 im) re)
(cos.f64 im)
im
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))
(cos.f64 (*.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal 2 binary64) im)
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(*.f64 re re)
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(approx (+ 1 re) re))
#s(approx (+ 1 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)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(cosh.f64 re)
(sinh.f64 re)
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (+ (* 1/2 (/ (cos (* 2 im)) (cos im))) (+ (* 1/2 (/ 1 (cos im))) (/ (* re (+ 1/2 (* 1/2 (cos (* 2 im))))) (cos im))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (+ (* 1/2 (/ (cos (* 2 im)) (cos im))) (+ (* re (- (* re (- (* -1 (cos im)) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im))) (* -1/2 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im)))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im))))) (* 1/2 (/ 1 (cos im)))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (+ (* 1/2 (/ (cos (* 2 im)) (cos im))) (+ (* re (- (* re (- (+ (* -1 (cos im)) (* re (- (* -1 (cos im)) (+ (* -1 (- (* -1 (cos im)) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im))) (* -1/2 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im)))))) (* -1/2 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im))))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im))) (* -1/2 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im)))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im))))) (* 1/2 (/ 1 (cos im)))))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (* -1 (+ 1/2 (* 1/2 (cos (* 2 im)))))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (* (pow re 2) (pow (cos im) 2)) (+ 1/2 (* 1/2 (cos (* 2 im)))))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (* (pow re 2) (+ (* re (pow (cos im) 2)) (pow (cos im) 2))) (+ 1/2 (* 1/2 (cos (* 2 im)))))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (* (pow re 2) (+ (* re (+ (* 1/4 (* re (pow (cos im) 2))) (pow (cos im) 2))) (pow (cos im) 2))) (+ 1/2 (* 1/2 (cos (* 2 im)))))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 2) (pow (cos im) 2))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 2) (+ (* re (pow (cos im) 2)) (pow (cos im) 2)))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 2) (+ (* re (+ (* 1/4 (* re (pow (cos im) 2))) (pow (cos im) 2))) (pow (cos im) 2)))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (* re (cos im))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (* re (+ (cos im) (* 1/2 (* re (cos im)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (cos im) re) #s(hole binary64 (* re (cos im))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (* -1 (cos im))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (* re (cos im)) (cos im))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (* re (+ (cos im) (* 1/2 (* re (cos im))))) (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 re))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (cosh re) (sinh re)) #s(hole binary64 1))
#s(approx (+ (cosh re) (sinh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (cosh re) (sinh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (cosh re) (sinh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (* (pow re 2) (- (+ (* 1/2 (cos im)) (* 2 (/ (cos im) re))) (/ (cos im) re)))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (* (pow re 2) (- (+ (* 1/2 (cos im)) (+ (* 2 (/ (cos im) re)) (* 2 (/ (cos im) (pow re 2))))) (+ (* -1 (/ (cos im) (pow re 2))) (+ (* 2 (/ (- (* 2 (cos im)) (cos im)) (pow re 2))) (/ (cos im) re)))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (* (pow re 2) (- (+ (* -1 (/ (+ (* -2 (- (* 2 (cos im)) (cos im))) (* 2 (- (* 2 (cos im)) (+ (* -1 (cos im)) (* 2 (- (* 2 (cos im)) (cos im))))))) (pow re 3))) (+ (* 1/2 (cos im)) (+ (* 2 (/ (cos im) re)) (* 2 (/ (cos im) (pow re 2)))))) (+ (* -1 (/ (cos im) (pow re 2))) (+ (* 2 (/ (- (* 2 (cos im)) (cos im)) (pow re 2))) (/ (cos im) re)))))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (* 1/4 (* (pow re 4) (pow (cos im) 2)))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (* (pow re 4) (+ (* 1/4 (pow (cos im) 2)) (/ (pow (cos im) 2) re)))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (* (pow re 4) (+ (* 1/4 (pow (cos im) 2)) (+ (/ (pow (cos im) 2) re) (/ (pow (cos im) 2) (pow re 2)))))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (* (pow re 4) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (pow re 4))) (+ (* 1/4 (pow (cos im) 2)) (+ (/ (pow (cos im) 2) re) (/ (pow (cos im) 2) (pow re 2))))))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* 1/4 (* (pow re 4) (pow (cos im) 2)))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 4) (+ (* 1/4 (pow (cos im) 2)) (/ (pow (cos im) 2) re)))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 4) (+ (* 1/4 (pow (cos im) 2)) (+ (/ (pow (cos im) 2) re) (/ (pow (cos im) 2) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (cos im) (pow re 2))) (+ (* 1/2 (cos im)) (/ (cos im) re))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (cosh re) (sinh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (- (* -2 (cos im)) (* -1 (cos im))) re)) (* 1/2 (cos im))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (- (+ (* -2 (cos im)) (* -1 (/ (- (* 2 (cos im)) (+ (* -2 (- (* -2 (cos im)) (* -1 (cos im)))) (* -1 (cos im)))) re))) (* -1 (cos im))) re)) (* 1/2 (cos im))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (- (+ (* -2 (cos im)) (* -1 (/ (- (+ (* -2 (/ (- (* -2 (cos im)) (* -1 (cos im))) re)) (+ (* -2 (/ (- (* 2 (cos im)) (+ (* -2 (- (* -2 (cos im)) (* -1 (cos im)))) (* -1 (cos im)))) re)) (* 2 (cos im)))) (+ (* -2 (- (* -2 (cos im)) (* -1 (cos im)))) (* -1 (cos im)))) re))) (* -1 (cos im))) re)) (* 1/2 (cos im))))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (* (pow re 4) (+ (* -1 (/ (+ (* -1 (/ (pow (cos im) 2) re)) (* -1 (pow (cos im) 2))) re)) (* 1/4 (pow (cos im) 2))))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (* (pow re 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (pow re 2))) (pow (cos im) 2)) re)) (* -1 (pow (cos im) 2))) re)) (* 1/4 (pow (cos im) 2))))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 4) (+ (* -1 (/ (+ (* -1 (/ (pow (cos im) 2) re)) (* -1 (pow (cos im) 2))) re)) (* 1/4 (pow (cos im) 2))))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (/ (cos im) re)) re)) (* 1/2 (cos im))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (/ (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1) (- (* re (+ 1 (* 1/2 re))) 1))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (- (+ (* (pow im 2) (- (+ (* -1 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1))) (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))) (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1)))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (- (+ (* (pow im 2) (- (+ (* -1 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (+ (* (pow im 2) (- (* 1/3 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (+ (* 1/3 (/ 1 (- (* re (+ 1 (* 1/2 re))) 1))) (+ (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (+ (* -1 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1))) (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))) (- (* re (+ 1 (* 1/2 re))) 1)) (/ (* (- (* 1/24 (* re (+ 1 (* 1/2 re)))) 1/24) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1)))) (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))) (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1)))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (- (+ (* (pow im 2) (- (+ (* -1 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (+ (* (pow im 2) (- (+ (* 1/3 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (* (pow im 2) (- (+ (* -2/45 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (* 2/45 (/ 1 (- (* re (+ 1 (* 1/2 re))) 1)))) (+ (/ (* (+ 1/720 (* -1/720 (* re (+ 1 (* 1/2 re))))) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)) (+ (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (* 1/3 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (+ (* 1/3 (/ 1 (- (* re (+ 1 (* 1/2 re))) 1))) (+ (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (+ (* -1 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1))) (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))) (- (* re (+ 1 (* 1/2 re))) 1)) (/ (* (- (* 1/24 (* re (+ 1 (* 1/2 re)))) 1/24) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))))) (- (* re (+ 1 (* 1/2 re))) 1)) (/ (* (- (* 1/24 (* re (+ 1 (* 1/2 re)))) 1/24) (- (+ (* -1 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1))) (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))) (- (* re (+ 1 (* 1/2 re))) 1))))))) (+ (* 1/3 (/ 1 (- (* re (+ 1 (* 1/2 re))) 1))) (+ (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (+ (* -1 (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1))) (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))) (- (* re (+ 1 (* 1/2 re))) 1)) (/ (* (- (* 1/24 (* re (+ 1 (* 1/2 re)))) 1/24) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1)))) (/ (* (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))) (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)) (pow (- (* re (+ 1 (* 1/2 re))) 1) 2)))) (/ (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) (- (* re (+ 1 (* 1/2 re))) 1))) (/ 1 (- (* re (+ 1 (* 1/2 re))) 1)))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)) 1)))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (+ (* (pow im 2) (+ 1 (* -1 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))))) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) 1)))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (+ (* (pow im 2) (+ 1 (+ (* -1 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) (* (pow im 2) (- (* 1/3 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) 1/3))))) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) 1)))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (+ (* (pow im 2) (+ 1 (+ (* -1 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) (* (pow im 2) (- (+ (* 1/3 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) (* (pow im 2) (+ 2/45 (* -2/45 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)))))) 1/3))))) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) 1)))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (+ (* -1 (* (pow im 2) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)))) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (+ (* (pow im 2) (+ (* -1 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) (* 1/3 (* (pow im 2) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)))))) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (+ (* (pow im 2) (+ (* -1 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))) (* (pow im 2) (+ (* -2/45 (* (pow im 2) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)))) (* 1/3 (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2))))))) (* (pow re 2) (pow (+ 1 (* 1/2 re)) 2)))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (* re (+ 1 (* 1/2 re))))) (* re (+ 1 (* 1/2 re))))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* 1/24 (* (pow im 2) (* re (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (* re (+ 1 (* 1/2 re))))) (* 1/24 (* re (+ 1 (* 1/2 re)))))))))))
#s(approx (* (cos im) re) #s(hole binary64 re))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* -1/2 (* (pow im 2) re)))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) #s(hole binary64 (+ 1 (* -1 (pow im 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/3 (pow im 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/3 (* -2/45 (pow im 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 im))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 im))) #s(hole binary64 (+ 1/2 (* -1 (pow im 2)))))
#s(approx (* 1/2 (cos (* 2 im))) #s(hole binary64 (+ 1/2 (* (pow im 2) (- (* 1/3 (pow im 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 im))) #s(hole binary64 (+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 1/3 (* -2/45 (pow im 2)))) 1)))))
#s(approx (cos (* 2 im)) #s(hole binary64 1))
#s(approx (cos (* 2 im)) #s(hole binary64 (+ 1 (* -2 (pow im 2)))))
#s(approx (cos (* 2 im)) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 2/3 (pow im 2)) 2)))))
#s(approx (cos (* 2 im)) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 2/3 (* -4/45 (pow im 2)))) 2)))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (* re (+ 1 (* 1/2 re))) 1)))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))))) 1)))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ 1/2 (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* 1/24 (* re (+ 1 (* 1/2 re)))) 1/24)))))) 1)))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ 1/2 (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/720 (* -1/720 (* re (+ 1 (* 1/2 re))))))) 1/24)))))) 1)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (/ (- (* (pow re 2) (* (pow (cos im) 2) (pow (+ 1 (* 1/2 re)) 2))) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* re (* (cos im) (+ 1 (* 1/2 re)))) (cos im)))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (* (pow re 2) (* (pow (cos im) 2) (pow (+ 1 (* 1/2 re)) 2))) (+ 1/2 (* 1/2 (cos (* 2 im)))))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 2) (* (pow (cos im) 2) (pow (+ 1 (* 1/2 re)) 2)))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (* re (* (cos im) (+ 1 (* 1/2 re))))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (* re (* (cos im) (+ 1 (* 1/2 re)))) (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
re
@-inf
((* (exp re) (cos im)) (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (* (+ (* 1/2 re) 1) (* (cos im) re)) (+ (* 1/2 re) 1) 1/2 re 1 (* (cos im) re) (cos im) im 2 (+ 1/2 (* 1/2 (cos (* 2 im)))) (* 1/2 (cos (* 2 im))) (cos (* 2 im)) (* 2 im) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (cosh re) (sinh re)) (cosh re) (sinh re))
7.0ms
re
@0
((* (exp re) (cos im)) (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (* (+ (* 1/2 re) 1) (* (cos im) re)) (+ (* 1/2 re) 1) 1/2 re 1 (* (cos im) re) (cos im) im 2 (+ 1/2 (* 1/2 (cos (* 2 im)))) (* 1/2 (cos (* 2 im))) (cos (* 2 im)) (* 2 im) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (cosh re) (sinh re)) (cosh re) (sinh re))
6.0ms
im
@0
((* (exp re) (cos im)) (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (* (+ (* 1/2 re) 1) (* (cos im) re)) (+ (* 1/2 re) 1) 1/2 re 1 (* (cos im) re) (cos im) im 2 (+ 1/2 (* 1/2 (cos (* 2 im)))) (* 1/2 (cos (* 2 im))) (cos (* 2 im)) (* 2 im) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (cosh re) (sinh re)) (cosh re) (sinh re))
5.0ms
re
@inf
((* (exp re) (cos im)) (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (* (+ (* 1/2 re) 1) (* (cos im) re)) (+ (* 1/2 re) 1) 1/2 re 1 (* (cos im) re) (cos im) im 2 (+ 1/2 (* 1/2 (cos (* 2 im)))) (* 1/2 (cos (* 2 im))) (cos (* 2 im)) (* 2 im) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (cosh re) (sinh re)) (cosh re) (sinh re))
5.0ms
im
@inf
((* (exp re) (cos im)) (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (* (+ (* 1/2 re) 1) (* (cos im) re)) (+ (* 1/2 re) 1) 1/2 re 1 (* (cos im) re) (cos im) im 2 (+ 1/2 (* 1/2 (cos (* 2 im)))) (* 1/2 (cos (* 2 im))) (cos (* 2 im)) (* 2 im) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (cosh re) (sinh re)) (cosh re) (sinh re))

rewrite291.0ms (9.9%)

Memory
-13.1MiB live, 276.7MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06765594
07094906
144484837
084084672
Stop Event
iter-limit
node-limit
iter-limit
Counts
183 → 342
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)))
(-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(*.f64 (cos.f64 im) re)
(cos.f64 im)
im
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))
(cos.f64 (*.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal 2 binary64) im)
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(*.f64 re re)
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(approx (+ 1 re) re))
#s(approx (+ 1 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)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(cosh.f64 re)
(sinh.f64 re)
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (cos (* 2 im)))) (cos im))))
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#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (* re (+ 1 (* 1/2 re))))) (* re (+ 1 (* 1/2 re))))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* 1/24 (* (pow im 2) (* re (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (* re (+ 1 (* 1/2 re))))) (* 1/24 (* re (+ 1 (* 1/2 re)))))))))))
#s(approx (* (cos im) re) #s(hole binary64 re))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* -1/2 (* (pow im 2) re)))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) #s(hole binary64 (+ 1 (* -1 (pow im 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/3 (pow im 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/3 (* -2/45 (pow im 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 im))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 im))) #s(hole binary64 (+ 1/2 (* -1 (pow im 2)))))
#s(approx (* 1/2 (cos (* 2 im))) #s(hole binary64 (+ 1/2 (* (pow im 2) (- (* 1/3 (pow im 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 im))) #s(hole binary64 (+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 1/3 (* -2/45 (pow im 2)))) 1)))))
#s(approx (cos (* 2 im)) #s(hole binary64 1))
#s(approx (cos (* 2 im)) #s(hole binary64 (+ 1 (* -2 (pow im 2)))))
#s(approx (cos (* 2 im)) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 2/3 (pow im 2)) 2)))))
#s(approx (cos (* 2 im)) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 2/3 (* -4/45 (pow im 2)))) 2)))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (* re (+ 1 (* 1/2 re))) 1)))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ 1/2 (* -1/2 (* re (+ 1 (* 1/2 re))))))) 1)))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ 1/2 (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* 1/24 (* re (+ 1 (* 1/2 re)))) 1/24)))))) 1)))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ 1/2 (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/720 (* -1/720 (* re (+ 1 (* 1/2 re))))))) 1/24)))))) 1)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) #s(hole binary64 (/ (- (* (pow re 2) (* (pow (cos im) 2) (pow (+ 1 (* 1/2 re)) 2))) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* re (* (cos im) (+ 1 (* 1/2 re)))) (cos im)))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) #s(hole binary64 (- (* (pow re 2) (* (pow (cos im) 2) (pow (+ 1 (* 1/2 re)) 2))) (+ 1/2 (* 1/2 (cos (* 2 im)))))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) #s(hole binary64 (* (pow re 2) (* (pow (cos im) 2) (pow (+ 1 (* 1/2 re)) 2)))))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) #s(hole binary64 (* re (* (cos im) (+ 1 (* 1/2 re))))))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) #s(hole binary64 (- (* re (* (cos im) (+ 1 (* 1/2 re)))) (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Outputs
#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))) (/.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 4 binary64)) (pow.f64 (cos.f64 im) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 6 binary64)) (pow.f64 (cos.f64 im) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 4 binary64)) (+.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)) #s(literal 2 binary64)))))
(-.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64)))
(-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))))
(*.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))) (fabs.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))))
(*.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))) (exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 re re))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (*.f64 re re) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 re re) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))
(*.f64 (*.f64 re re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) #s(literal 1 binary64)) re)
(*.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re)
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))
(*.f64 (*.f64 (cos.f64 im) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
(*.f64 re (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) #s(literal 1 binary64)))
(*.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re)
(*.f64 re (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re re) re))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (/.f64 #s(literal 1 binary64) re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (/.f64 #s(literal 1 binary64) re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 re (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 im)) #s(literal 1 binary64)))
im
#s(literal 2 binary64)
(*.f64 (fabs.f64 (neg.f64 (cos.f64 im))) (fabs.f64 (neg.f64 (cos.f64 im))))
(*.f64 (fabs.f64 (cos.f64 im)) (fabs.f64 (cos.f64 im)))
(*.f64 (exp.f64 (log.f64 (cos.f64 im))) (exp.f64 (log.f64 (cos.f64 im))))
(*.f64 (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (neg.f64 (cos.f64 im))))
(*.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) (cos.f64 im))
(pow.f64 (exp.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 im) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 im))) (sin.f64 (+.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))) im)) (sin.f64 (+.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))) im))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) im)) (cos.f64 (-.f64 (neg.f64 im) im))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 im im)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 im) #s(literal -2 binary64)))
(fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 im)) (sin.f64 (neg.f64 im))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64))))
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(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))
(sin.f64 (+.f64 (neg.f64 (+.f64 im im)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) im (/.f64 (PI.f64) #s(literal 2 binary64))))
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(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
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(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
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(cosh.f64 re)
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#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
#s(approx (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (* (cos im) re)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))
#s(approx (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))

eval43.0ms (1.5%)

Memory
15.9MiB live, 104.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 142 to 1 971 computations (61.7% saved)

prune20.0ms (0.7%)

Memory
-19.9MiB live, 38.1MiB allocated; 7ms collecting garbage
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New3656371
Fresh044
Picked325
Done088
Total36820388
Accuracy
100.0%
Counts
388 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
8.6%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
13.0%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
30.6%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
63.5%
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
49.4%
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
49.8%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
74.0%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
48.4%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
48.2%
#s(approx (* (exp re) (cos im)) #s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) (/.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 im))))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
49.6%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
39.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
13.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
13.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
26.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
13.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
3.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
28.6%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 511 to 422 computations (17.4% saved)

regimes79.0ms (2.7%)

Memory
-24.7MiB live, 69.3MiB allocated; 4ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.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))))
(*.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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
#s(approx (* (exp re) (cos im)) #s(approx (/ (- (pow (* (+ (* 1/2 re) 1) (* (cos im) re)) 2) (+ 1/2 (* 1/2 (cos (* 2 im))))) (- (* (+ (* 1/2 re) 1) (* (cos im) re)) (cos im))) (/.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
(*.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

31.0ms
im
27.0ms
(cos.f64 im)
7.0ms
re
6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
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 11 to 15 computations (-36.4% saved)

regimes76.0ms (2.6%)

Memory
11.1MiB live, 56.0MiB allocated; 4ms collecting garbage
Counts
21 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.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))))
(*.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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

52.0ms
(exp.f64 re)
6.0ms
im
6.0ms
re
6.0ms
(cos.f64 im)
5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
83.9%2(cos.f64 im)
94.1%3(exp.f64 re)
99.5%5(*.f64 (exp.f64 re) (cos.f64 im))
97.7%4re
84.9%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.4%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Counts
20 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.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))))
(*.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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

2 calls:

6.0ms
re
5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
94.0%3re
99.2%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes6.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
19 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.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))))
(*.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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
98.9%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes51.0ms (1.7%)

Memory
-31.8MiB live, 64.1MiB allocated; 9ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.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))))
(*.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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (cosh.f64 re) (sinh.f64 re)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

28.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms
(cos.f64 im)
5.0ms
im
5.0ms
re
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
76.1%2(cos.f64 im)
74.0%1im
74.0%1re
74.0%1(exp.f64 re)
79.7%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes4.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
79.6%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes16.0ms (0.5%)

Memory
-2.6MiB live, 41.6MiB allocated; 5ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Calls

5 calls:

5.0ms
im
3.0ms
re
3.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
45.2%2(exp.f64 re)
45.2%2re
42.5%2im
45.3%2(cos.f64 im)
50.7%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes3.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
Calls

1 calls:

2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
50.6%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.4%)

Memory
-13.3MiB live, 34.0MiB allocated; 1ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
Calls

5 calls:

2.0ms
(exp.f64 re)
2.0ms
im
2.0ms
re
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
29.5%1im
39.7%2re
39.7%2(exp.f64 re)
29.5%1(cos.f64 im)
39.8%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
Calls

1 calls:

1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
39.8%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.2%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
Calls

4 calls:

2.0ms
im
1.0ms
re
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
29.5%1im
29.5%1(exp.f64 re)
29.5%1re
29.5%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes8.0ms (0.3%)

Memory
-38.5MiB live, 16.7MiB allocated; 4ms collecting garbage
Accuracy

Total -16.5b remaining (-36.1%)

Threshold costs -16.5b (-36.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Calls

5 calls:

3.0ms
(exp.f64 re)
1.0ms
re
1.0ms
im
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
28.6%1(*.f64 (exp.f64 re) (cos.f64 im))
28.6%1(cos.f64 im)
28.6%1(exp.f64 re)
28.6%1re
28.6%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998720796138789
1.0
0.0ms
-0.0
0.05561008982064875
0.0ms
-0.062108533008563
-5.8371204160492086e-260
0.0ms
-inf
-0.9996786534360774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998720796138789
1.0
0.0ms
-0.0
0.05561008982064875
0.0ms
-0.062108533008563
-5.8371204160492086e-260
0.0ms
-inf
-0.9996786534360774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.980072682544647
0.9967933313182175
0.0ms
-0.0
0.05561008982064875
0.0ms
-0.062108533008563
-5.8371204160492086e-260
0.0ms
-inf
-0.9996786534360774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.062108533008563
-5.8371204160492086e-260
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.6910699823734453
-0.6864592134608474
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
0.05561008982064875
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000132540474
+inf
0.0ms
-0.0
0.05561008982064875
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000132540474
+inf
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000132540474
+inf
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations342.0ms (11.7%)

Memory
21.3MiB live, 341.6MiB allocated; 50ms collecting garbage
Stop Event
fuel
Compiler

Compiled 144 to 94 computations (34.7% saved)

preprocess115.0ms (3.9%)

Memory
-8.3MiB live, 139.8MiB allocated; 34ms collecting garbage
Remove

(abs im)

Compiler

Compiled 889 to 747 computations (16% saved)

end0.0ms (0%)

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

Profiling

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