math.cos on complex, real part

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 13 to 12 computations (7.7% saved)

sample1.8s (50.1%)

Memory
-0.2MiB live, 1 375.2MiB allocated; 1.4s collecting garbage
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult!: 733.0ms (63.3% of total)
ival-cos: 197.0ms (17% of total)
ival-exp: 173.0ms (14.9% of total)
ival-neg: 35.0ms (3% of total)
ival-add!: 18.0ms (1.6% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess44.0ms (1.2%)

Memory
-25.0MiB live, 36.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02668
111254
236344
3198934
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Symmetry

(abs re)

(abs im)

Compiler

Compiled 20 to 20 computations (0% saved)

series8.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Counts
10 → 37
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx im #s(hole binary64 im))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Calls

6 calls:

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

rewrite193.0ms (5.3%)

Memory
7.0MiB live, 198.8MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165658
0175591
11017564
08528528
Stop Event
iter-limit
node-limit
iter-limit
Counts
47 → 135
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx im #s(hole binary64 im))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))) (-.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re))))
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im)) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))))
(-.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(neg.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(neg.f64 im)
im
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) (*.f64 re re) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (neg im) (neg.f64 im))
#s(approx im im)
#s(approx (exp im) (-.f64 im #s(literal -1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval15.0ms (0.4%)

Memory
-15.2MiB live, 26.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 1 250 to 470 computations (62.4% saved)

prune4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1185123
Fresh000
Picked101
Done000
Total1195124
Accuracy
100.0%
Counts
124 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
76.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
55.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
63.6%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
65.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
Compiler

Compiled 138 to 138 computations (0% saved)

series19.0ms (0.5%)

Memory
-9.5MiB live, 35.0MiB allocated; 5ms collecting garbage
Counts
23 → 52
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cosh.f64 im) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
Outputs
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (pow im 2)))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/4 (* 1/48 (pow im 2)))))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/4 (* (pow im 2) (+ 1/48 (* 1/1440 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (* 1/4 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
im
@inf
((* (* (cos re) 1/2) (* 2 (cosh im))) (* (cos re) 1/2) (cos re) re 1/2 (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (cosh im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
3.0ms
im
@-inf
((* (* (cos re) 1/2) (* 2 (cosh im))) (* (cos re) 1/2) (cos re) re 1/2 (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (cosh im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
3.0ms
re
@0
((* (* (cos re) 1/2) (* 2 (cosh im))) (* (cos re) 1/2) (cos re) re 1/2 (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (cosh im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
2.0ms
re
@inf
((* (* (cos re) 1/2) (* 2 (cosh im))) (* (cos re) 1/2) (cos re) re 1/2 (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (cosh im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
2.0ms
re
@-inf
((* (* (cos re) 1/2) (* 2 (cosh im))) (* (cos re) 1/2) (cos re) re 1/2 (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (cosh im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))

rewrite189.0ms (5.2%)

Memory
22.3MiB live, 168.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02541293
02821147
116611147
082111102
Stop Event
iter-limit
node-limit
iter-limit
Counts
75 → 272
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cosh.f64 im) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (pow im 2)))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/4 (* 1/48 (pow im 2)))))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/4 (* (pow im 2) (+ 1/48 (* 1/1440 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (* 1/4 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (cos.f64 re)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im))) (-.f64 (cosh.f64 im) (cosh.f64 im)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
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#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (cosh im) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.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 (* (cosh im) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (cosh im) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (* (cosh im) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 im im) #s(literal 1/48 binary64)) (*.f64 im im) #s(literal 1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 im im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (cosh im) 1/2) (*.f64 #s(literal 1/4 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval48.0ms (1.3%)

Memory
-13.7MiB live, 75.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 283 to 1 220 computations (71.5% saved)

prune10.0ms (0.3%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New3177324
Fresh000
Picked145
Done000
Total31811329
Accuracy
100.0%
Counts
329 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
76.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
55.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
39.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
39.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
49.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
32.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
12.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
65.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
50.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
35.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
Compiler

Compiled 346 to 340 computations (1.7% saved)

series22.0ms (0.6%)

Memory
-19.5MiB live, 38.4MiB allocated; 7ms collecting garbage
Counts
28 → 56
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
#s(literal 1/24 binary64)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* 1/24 (* re re)) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
re
@0
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) 1/24)
3.0ms
re
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) 1/24)
3.0ms
re
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) 1/24)
3.0ms
im
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) 1/24)
2.0ms
im
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) 1/24)

rewrite155.0ms (4.3%)

Memory
14.6MiB live, 243.9MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02501527
02751379
115011379
080581350
Stop Event
iter-limit
node-limit
iter-limit
Counts
84 → 260
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
#s(literal 1/24 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* 1/24 (* re re)) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (fma.f64 im im #s(literal 2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 im im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 im im))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im) #s(literal 8 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im)))) (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (*.f64 im im))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) (-.f64 (*.f64 im im) #s(literal 2 binary64))))
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#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (*.f64 (*.f64 re re) (*.f64 re re))))
#s(approx (- (* 1/24 (* re re)) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/12 binary64) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 im im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx im im)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 2 binary64) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval33.0ms (0.9%)

Memory
11.0MiB live, 56.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 138 to 1 524 computations (70.3% saved)

prune16.0ms (0.4%)

Memory
-13.7MiB live, 33.2MiB allocated; 2ms collecting garbage
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New31110321
Fresh112
Picked415
Done044
Total31616332
Accuracy
100.0%
Counts
332 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
76.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
55.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
34.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
20.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
39.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
39.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
12.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
65.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
23.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
35.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
35.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
32.2%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
49.6%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
32.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
7.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
Compiler

Compiled 644 to 610 computations (5.3% saved)

series30.0ms (0.8%)

Memory
-41.2MiB live, 29.9MiB allocated; 33ms collecting garbage
Counts
35 → 60
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 re re))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (*.f64 re re) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 1))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (- (* 1/48 (* re re)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* 1/48 (* re re)) 1/4) #s(hole binary64 (- (* 1/48 (pow re 2)) 1/4)))
#s(approx (* 1/48 (* re re)) #s(hole binary64 (* 1/48 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (* re re) -1/4) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* 1/48 (pow re 4))))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/48 (* re re)) 1/4) #s(hole binary64 (* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
im
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/48 (* re re)) 1/48 (* re re) re 1/4 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -1/4)
3.0ms
re
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/48 (* re re)) 1/48 (* re re) re 1/4 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -1/4)
3.0ms
re
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/48 (* re re)) 1/48 (* re re) re 1/4 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -1/4)
2.0ms
im
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/48 (* re re)) 1/48 (* re re) re 1/4 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -1/4)
2.0ms
re
@0
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/4) 1/2) 1/2 (+ (* im im) 2) im 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) 1 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/48 (* re re)) 1/48 (* re re) re 1/4 (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -1/4)

rewrite144.0ms (4%)

Memory
16.8MiB live, 148.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731706
02971572
116381572
081081486
Stop Event
iter-limit
node-limit
iter-limit
Counts
95 → 223
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 re re))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (*.f64 re re) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 1))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (- (* 1/48 (* re re)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* 1/48 (* re re)) 1/4) #s(hole binary64 (- (* 1/48 (pow re 2)) 1/4)))
#s(approx (* 1/48 (* re re)) #s(hole binary64 (* 1/48 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (* re re) -1/4) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* 1/48 (pow re 4))))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/48 (* re re)) 1/4) #s(hole binary64 (* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (*.f64 im im)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 im im) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) (*.f64 (*.f64 im im) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 im im) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(fma.f64 (*.f64 im im) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 im im) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 im im) #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im))))))
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (cosh.f64 im))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im))))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (*.f64 re re) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 re re))
(*.f64 re (*.f64 re #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/48 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 im im #s(literal 2 binary64)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* re re) -1/4) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* 1/48 (* re re)) 1/4) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (* 1/48 (* re re)) (*.f64 (*.f64 re re) #s(literal 1/48 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx re re)
#s(approx (* (* re re) -1/4) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 re re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (*.f64 re re) (fma.f64 (/.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (*.f64 (*.f64 re re) (*.f64 re re))))
#s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (+.f64 #s(literal 1/48 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))) (*.f64 (*.f64 re re) (*.f64 re re))))
#s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 im im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/12 binary64) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 im im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx im im)
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (cosh im) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 2 binary64) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval22.0ms (0.6%)

Memory
42.0MiB live, 42.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 635 to 1 074 computations (59.2% saved)

prune22.0ms (0.6%)

Memory
-25.1MiB live, 30.0MiB allocated; 11ms collecting garbage
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New2065211
Fresh246
Picked145
Done145
Total21017227
Accuracy
100.0%
Counts
227 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
76.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
55.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
20.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
24.2%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
39.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
39.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
11.5%
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
12.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
65.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
23.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
35.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
49.6%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
34.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
35.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
7.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
32.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
Compiler

Compiled 659 to 524 computations (20.5% saved)

regimes51.0ms (1.4%)

Memory
4.7MiB live, 50.0MiB allocated; 5ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
Calls

6 calls:

15.0ms
re
8.0ms
im
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
(cos.f64 re)
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
100.0%1(cos.f64 re)
100.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
100.0%1re
100.0%1im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes95.0ms (2.6%)

Memory
-14.3MiB live, 32.2MiB allocated; 1ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
Calls

6 calls:

7.0ms
im
7.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
88.4%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
88.7%2(cos.f64 re)
88.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.4%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
88.6%2re
94.7%3im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes7.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.3%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes50.0ms (1.4%)

Memory
-9.9MiB live, 37.0MiB allocated; 3ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
Calls

6 calls:

19.0ms
re
7.0ms
im
6.0ms
(cos.f64 re)
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
65.8%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
65.8%1re
77.2%2(cos.f64 re)
77.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
65.8%1im
77.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes15.0ms (0.4%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
Calls

3 calls:

5.0ms
(cos.f64 re)
5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
77.2%2(cos.f64 re)
77.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
77.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes34.0ms (0.9%)

Memory
-29.1MiB live, 20.9MiB allocated; 7ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
Calls

3 calls:

24.0ms
(cos.f64 re)
5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
75.4%2(cos.f64 re)
75.4%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
75.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes21.0ms (0.6%)

Memory
33.9MiB live, 33.9MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
Calls

6 calls:

4.0ms
im
4.0ms
re
3.0ms
(cos.f64 re)
3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
54.0%3re
52.3%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
54.6%3im
59.1%2(cos.f64 re)
59.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
59.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes14.0ms (0.4%)

Memory
-16.6MiB live, 26.8MiB allocated; 4ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/48 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
Calls

3 calls:

6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(cos.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
59.0%2(cos.f64 re)
59.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
59.0%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes9.0ms (0.2%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
Calls

3 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(cos.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
55.7%2(cos.f64 re)
55.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
55.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes14.0ms (0.4%)

Memory
-10.8MiB live, 35.4MiB allocated; 4ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
Calls

6 calls:

4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms
im
2.0ms
re
2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
37.6%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
35.4%1re
37.6%2im
38.3%2(cos.f64 re)
38.3%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
38.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes7.0ms (0.2%)

Memory
-30.7MiB live, 15.5MiB allocated; 3ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
Calls

3 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
38.3%2(cos.f64 re)
38.3%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
38.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes7.0ms (0.2%)

Memory
28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
Calls

6 calls:

1.0ms
im
1.0ms
re
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Results
AccuracySegmentsBranch
32.3%1re
32.3%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
32.3%1im
32.3%1(cos.f64 re)
32.3%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
32.3%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999470185583833
1.0
0.0ms
-8.757417835393792e+210
-0.9988994317439601
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999470185583833
1.0
0.0ms
-8.757417835393792e+210
-0.9988994317439601
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.001180874290804072
0.034214405245497057
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.001180874290804072
0.034214405245497057
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.001180874290804072
0.034214405245497057
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.001180874290804072
0.034214405245497057
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.001180874290804072
0.034214405245497057
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.001180874290804072
0.034214405245497057
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.001180874290804072
0.034214405245497057
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.001180874290804072
0.034214405245497057
Compiler

Compiled 13 to 15 computations (-15.4% saved)

derivations353.0ms (9.7%)

Memory
-19.0MiB live, 352.7MiB allocated; 67ms collecting garbage
Stop Event
fuel
Compiler

Compiled 161 to 94 computations (41.6% saved)

preprocess153.0ms (4.2%)

Memory
30.4MiB live, 214.0MiB allocated; 36ms collecting garbage
Remove

(abs im)

(abs re)

Compiler

Compiled 2 243 to 1 848 computations (17.6% saved)

end0.0ms (0%)

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

Profiling

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