math.exp on complex, real part

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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)

sample1.1s (35.9%)

Memory
52.4MiB live, 891.6MiB allocated; 402ms collecting garbage
Samples
582.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 346.0ms
ival-cos: 201.0ms (58.2% of total)
ival-mult!: 77.0ms (22.3% of total)
ival-exp: 66.0ms (19.1% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess41.0ms (1.4%)

Memory
0.8MiB live, 44.9MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01634
15134
216732
377232
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
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
5 → 21
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 re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (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)))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 (cos im)))
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
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
im
@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)

rewrite136.0ms (4.6%)

Memory
18.8MiB live, 111.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089282
091281
1532270
05038250
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
26 → 41
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 re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (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)))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 (cos im)))
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 (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 (*.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)))))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.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 re re)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (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)))
#s(approx im im)
#s(approx (cos im) (cos.f64 im))

eval4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 258 to 137 computations (46.9% saved)

prune3.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New31536
Fresh000
Picked101
Done000
Total32537
Accuracy
100.0%
Counts
37 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.9%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
65.3%
#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)))
56.4%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
68.2%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
55.7%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 94 to 92 computations (2.1% saved)

series34.0ms (1.1%)

Memory
-32.0MiB live, 27.4MiB allocated; 32ms collecting garbage
Counts
21 → 66
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
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)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 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) (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)
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 re #s(hole binary64 re))
#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 (+ (* (* (+ (* 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) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (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 (+ (* (* (+ (* 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 (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) 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 (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 im #s(hole binary64 im))
#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 (+ (* (* (+ (* 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 (cos im)))
#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))))
#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)))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
re
@0
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (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)
3.0ms
im
@inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (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)
2.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (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)
2.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (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)
2.0ms
im
@0
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (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)

rewrite209.0ms (7.1%)

Memory
10.4MiB live, 269.8MiB allocated; 107ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02551295
02701253
115451251
084181206
Stop Event
iter-limit
node-limit
iter-limit
Counts
87 → 187
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
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)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 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) (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)
#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 re #s(hole binary64 re))
#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 (+ (* (* (+ (* 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) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (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 (+ (* (* (+ (* 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 (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) 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 (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 im #s(hole binary64 im))
#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 (+ (* (* (+ (* 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 (cos im)))
#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))))
#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)))))
Outputs
#s(approx (* (exp re) (cos im)) (exp.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)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (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) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (neg.f64 (-.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 (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 (-.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) (*.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)))))
(/.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))))))
(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 (*.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 (/.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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.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 #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 (*.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 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.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))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))))
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (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)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 re re) re) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(-.f64 re #s(literal -1 binary64))
#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)))
(/.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)))))
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(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))))
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(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) re)))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
#s(literal 1/2 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)))
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#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 re re)
#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 (+ (* (* (+ (* 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) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (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 (+ (* (* (+ (* 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 (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#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 (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 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 (+ (* (* (+ (* 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) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal -1/2 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 (*.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 1/24 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 (*.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal -1/720 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) (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)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) 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 (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))

eval20.0ms (0.7%)

Memory
38.3MiB live, 38.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 134 to 846 computations (60.4% saved)

prune12.0ms (0.4%)

Memory
-30.5MiB live, 14.8MiB allocated; 8ms collecting garbage
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1797186
Fresh000
Picked235
Done000
Total18110191
Accuracy
100.0%
Counts
191 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.5%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
33.9%
(*.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))))
31.4%
(*.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))))
56.4%
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im)))
56.4%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
68.2%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
55.7%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
36.9%
#s(approx (* (exp re) (cos 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)) re #s(literal 1 binary64))))
30.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
30.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 216 to 204 computations (5.6% saved)

series9.0ms (0.3%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
22 → 72
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im)))
(fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im))
(cos.f64 im)
im
re
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 (+ (* (* (+ (* 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)) (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))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.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))))
#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)
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 re #s(hole binary64 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 (* (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 (+ 1 re) #s(hole binary64 (+ 1 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 (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#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 (exp re) #s(hole binary64 (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 (+ 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 (+ (* 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 (* (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 (* (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 (+ (* (* (+ (* 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 #s(hole binary64 im))
#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 (+ (* (* (+ (* 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 (cos im) #s(hole binary64 (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
1.0ms
re
@-inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (cos im) im re (* (exp re) (cos im)) (exp re) 1 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2)
1.0ms
im
@inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (cos im) im re (* (exp re) (cos im)) (exp re) 1 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2)
1.0ms
im
@-inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (cos im) im re (* (exp re) (cos im)) (exp re) 1 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2)
1.0ms
re
@inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (cos im) im re (* (exp re) (cos im)) (exp re) 1 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2)
1.0ms
re
@0
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (cos im) im re (* (exp re) (cos im)) (exp re) 1 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2)

rewrite219.0ms (7.4%)

Memory
-5.7MiB live, 144.8MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02701464
02801414
116301410
082551354
Stop Event
iter-limit
node-limit
iter-limit
Counts
94 → 191
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im)))
(fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im))
(cos.f64 im)
im
re
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 (+ (* (* (+ (* 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)) (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))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.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))))
#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)) #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 re #s(hole binary64 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 (* (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 (+ 1 re) #s(hole binary64 (+ 1 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 (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#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 (exp re) #s(hole binary64 (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 (+ 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 (+ (* 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 (* (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 (* (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 (+ (* (* (+ (* 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 #s(hole binary64 im))
#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 (+ (* (* (+ (* 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 (cos im) #s(hole binary64 (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)) (fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (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 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (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 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) (cos.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (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 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (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 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (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 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) (cos.f64 im)))))
(fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im))
(fma.f64 re #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) (cos.f64 im))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (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 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) (cos.f64 im))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (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 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (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 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) (cos.f64 im))))))
(+.f64 (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (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)))))
im
re
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))) (/.f64 (*.f64 (*.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(approx (* (exp re) (cos 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)) re #s(literal 1 binary64))))
#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)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
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#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) 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 (+ (* 1/2 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) (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 (* (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)) (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)
#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 (+ (* (* 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 (cos im) (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)))

eval29.0ms (1%)

Memory
-17.0MiB live, 28.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 055 to 835 computations (59.4% saved)

prune9.0ms (0.3%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New1606166
Fresh022
Picked055
Done033
Total16016176
Accuracy
100.0%
Counts
176 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.5%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
33.9%
(*.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))))
31.4%
(*.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))))
31.4%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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))))
12.4%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
56.4%
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im)))
56.4%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
68.2%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
55.7%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
36.9%
#s(approx (* (exp re) (cos 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)) re #s(literal 1 binary64))))
9.8%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
23.5%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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)))))
9.8%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
30.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
3.4%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
30.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 393 to 359 computations (8.7% saved)

series55.0ms (1.9%)

Memory
-11.2MiB live, 88.0MiB allocated; 13ms collecting garbage
Counts
32 → 73
Calls
Call 1
Inputs
(*.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(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)
im
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re))
#s(approx (+ 1 re) re)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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) (cos im)) re) (cos im)) #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)
#s(literal 1/2 binary64)
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(exp.f64 re)
#s(approx (cos 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 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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) #s(literal 1 binary64))
#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)))
(fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(log.f64 im)
#s(literal 2 binary64)
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 (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx re #s(hole binary64 re))
#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 (+ (* (* (+ (* 1/2 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) 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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 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 (+ (* (* (+ (* 1/2 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) 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 (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) 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 (* (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)))))
#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 im #s(hole binary64 im))
#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 (+ (* (* (+ (* 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 (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (exp (* (log im) 2)) #s(hole binary64 (pow im 2)))
#s(approx (* (log im) 2) #s(hole binary64 (* 2 (log im))))
#s(approx (log im) #s(hole binary64 (log im)))
#s(approx (cos im) #s(hole binary64 (cos im)))
#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))))
#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 (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (log im) 2) #s(hole binary64 (* -2 (log (/ 1 im)))))
#s(approx (log im) #s(hole binary64 (* -1 (log (/ 1 im)))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
im
@0
((* (exp re) (cos im)) (exp re) (+ 1 re) 1 re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
11.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) (+ 1 re) 1 re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
8.0ms
im
@inf
((* (exp re) (cos im)) (exp re) (+ 1 re) 1 re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
2.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) (+ 1 re) 1 re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
2.0ms
re
@inf
((* (exp re) (cos im)) (exp re) (+ 1 re) 1 re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)

rewrite219.0ms (7.4%)

Memory
19.8MiB live, 200.6MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02691494
02891449
114991444
085111344
Stop Event
iter-limit
node-limit
iter-limit
Counts
105 → 236
Calls
Call 1
Inputs
(*.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(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)
im
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re))
#s(approx (+ 1 re) re)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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) (cos im)) re) (cos im)) #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)
#s(literal 1/2 binary64)
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(exp.f64 re)
#s(approx (cos 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 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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) #s(literal 1 binary64))
#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)))
(fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(log.f64 im)
#s(literal 2 binary64)
#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 (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx re #s(hole binary64 re))
#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 (+ (* (* (+ (* 1/2 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) 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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 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 (+ (* (* (+ (* 1/2 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) 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 (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) 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 (* (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)))))
#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 im #s(hole binary64 im))
#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 (+ (* (* (+ (* 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 (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (exp (* (log im) 2)) #s(hole binary64 (pow im 2)))
#s(approx (* (log im) 2) #s(hole binary64 (* 2 (log im))))
#s(approx (log im) #s(hole binary64 (log im)))
#s(approx (cos im) #s(hole binary64 (cos im)))
#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))))
#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 (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (log im) 2) #s(hole binary64 (* -2 (log (/ 1 im)))))
#s(approx (log im) #s(hole binary64 (* -1 (log (/ 1 im)))))
Outputs
(*.f64 #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(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 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))) (/.f64 (*.f64 (*.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
re
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (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) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (neg.f64 (-.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 (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 (-.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) (*.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)))))
(/.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))))))
(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 (*.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 (/.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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
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(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (log.f64 im))
(+.f64 (log.f64 (fabs.f64 im)) (log.f64 (fabs.f64 im)))
(+.f64 (log.f64 (neg.f64 im)) (log.f64 (neg.f64 im)))
(+.f64 (log.f64 im) (log.f64 im))
(log.f64 (*.f64 im im))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
#s(literal 2 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 (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 re) #s(literal 1 binary64))
#s(approx (+ 1 re) (+.f64 #s(literal 1 binary64) re))
#s(approx re re)
#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 (+ (* (* (+ (* 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) 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 (+ (* (* re re) 1/2) re) re)
#s(approx (+ (* (* re re) 1/2) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ 1 re) re)
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#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 (+ (* (* (+ (* 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) re) 1) (*.f64 re (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) 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 (+ (* (* re re) 1/2) re) (*.f64 re (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (+ (* (* re re) 1/2) re) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))
#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 (+ (* (* (+ (* 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 (* (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 (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 (* (log im) 2)) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* (log im) 2)) (*.f64 im im))
#s(approx 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 (+ (* (* (+ (* 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 (-.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) (*.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 (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 (* (* im im) -1/2) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* (log im) 2)) (*.f64 im im))
#s(approx (* (log im) 2) (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(approx (log im) (log.f64 im))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (exp (* (log im) 2)) -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)))
#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 (+ (* (exp (* (log im) 2)) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (log im) 2) (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(approx (log im) (log.f64 im))

eval20.0ms (0.7%)

Memory
-7.3MiB live, 37.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 933 to 889 computations (54% saved)

prune13.0ms (0.4%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (7 fresh and 11 done)

PrunedKeptTotal
New1744178
Fresh033
Picked235
Done088
Total17618194
Accuracy
100.0%
Counts
194 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.5%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
33.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
33.9%
(*.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))))
31.4%
(*.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))))
31.4%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
12.4%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
56.4%
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (cos.f64 im)))
56.4%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
68.2%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
55.7%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
36.9%
#s(approx (* (exp re) (cos 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)) re #s(literal 1 binary64))))
9.8%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
9.8%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
23.5%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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)))))
9.8%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
30.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
3.4%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
30.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 459 to 367 computations (20% saved)

regimes40.0ms (1.3%)

Memory
-41.0MiB live, 63.2MiB allocated; 15ms collecting garbage
Counts
23 → 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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 (* (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))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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)))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im)) re (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)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

12.0ms
(cos.f64 im)
10.0ms
im
6.0ms
re
5.0ms
(*.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)

regimes28.0ms (0.9%)

Memory
-0.9MiB live, 45.4MiB allocated; 3ms 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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 (* (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))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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)))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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 (exp.f64 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)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

7.0ms
(cos.f64 im)
6.0ms
im
6.0ms
re
5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
80.6%2(cos.f64 im)
94.1%3(exp.f64 re)
100.0%5(*.f64 (exp.f64 re) (cos.f64 im))
94.1%3re
79.3%3im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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 (* (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))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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)))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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 (exp.f64 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
99.9%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes36.0ms (1.2%)

Memory
-15.7MiB live, 30.4MiB allocated; 3ms 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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 (* (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))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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)))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

17.0ms
im
5.0ms
re
5.0ms
(cos.f64 im)
4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
68.2%1im
72.5%2(cos.f64 im)
68.2%1(exp.f64 re)
68.2%1re
75.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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 (* (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))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
Outputs
(*.f64 (exp.f64 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
75.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
12 → 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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 (* (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))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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))))
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

1 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
74.3%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
11 → 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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 (* (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))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

2 calls:

3.0ms
(cos.f64 im)
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
68.2%1(cos.f64 im)
72.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
9 → 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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 (* (exp re) (cos im)) (exp.f64 re))
Outputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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
72.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes13.0ms (0.4%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 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))))
Outputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #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 (+ (* (* (+ (* 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))))
Calls

5 calls:

3.0ms
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
40.7%2(cos.f64 im)
36.9%1im
43.8%2re
43.8%2(exp.f64 re)
47.6%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory
-42.2MiB live, 4.4MiB allocated; 2ms 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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(literal 1 binary64)) #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(literal 1 binary64)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
47.6%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.4%)

Memory
28.7MiB live, 28.7MiB allocated; 0ms 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
Calls

5 calls:

2.0ms
im
2.0ms
re
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
30.5%1im
30.5%1(cos.f64 im)
36.9%2re
36.9%2(exp.f64 re)
36.9%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB 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 (* (cos im) (- re -1)) #s(approx (+ 1 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #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
36.9%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.4%)

Memory
-32.0MiB live, 13.6MiB allocated; 9ms 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 (* (cos im) (- re -1)) #s(approx (+ 1 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:

1.0ms
im
1.0ms
re
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
30.5%1im
30.5%1(exp.f64 re)
30.5%1re
30.5%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes6.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Accuracy

Total -17.6b remaining (-39.4%)

Threshold costs -17.6b (-39.4%)

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 (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Calls

5 calls:

1.0ms
im
1.0ms
re
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
30.2%1(exp.f64 re)
30.2%1re
30.2%1(cos.f64 im)
30.2%1(*.f64 (exp.f64 re) (cos.f64 im))
30.2%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
0.0ms
0.04167074572917332
0.12230642228278513
0.0ms
-0.017476077728934638
-0.0
0.0ms
-inf
-0.9999298451134071
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
0.0ms
0.04167074572917332
0.12230642228278513
0.0ms
-0.017476077728934638
-0.0
0.0ms
-inf
-0.9999298451134071
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
-0.017476077728934638
-0.0
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
-0.017476077728934638
-0.0
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
-0.017476077728934638
-0.0
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
-0.017476077728934638
-0.0
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
-0.017476077728934638
-0.0
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
0.04167074572917332
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000044966797
+inf
0.0ms
0.04167074572917332
0.12230642228278513
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
1.0000000044966797
+inf
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
1.0000000044966797
+inf
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations377.0ms (12.7%)

Memory
12.5MiB live, 297.0MiB allocated; 67ms collecting garbage
Stop Event
fuel
Compiler

Compiled 163 to 91 computations (44.2% saved)

preprocess302.0ms (10.2%)

Memory
-17.3MiB live, 250.9MiB allocated; 241ms collecting garbage
Remove

(abs im)

Compiler

Compiled 986 to 792 computations (19.7% saved)

end0.0ms (0%)

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

Profiling

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