math.cos on complex, real part

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.1s (33.3%)

Memory
6.5MiB live, 1 533.4MiB allocated; 354ms collecting garbage
Samples
814.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 597.0ms
ival-cos: 256.0ms (42.9% of total)
ival-mult!: 137.0ms (22.9% of total)
ival-exp: 134.0ms (22.4% of total)
ival-neg: 39.0ms (6.5% of total)
ival-add!: 30.0ms (5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess47.0ms (1.4%)

Memory
-21.8MiB live, 26.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02668
111954
244332
3272832
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 (0.3%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
10 → 40
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)))
#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))
#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))
#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))

rewrite173.0ms (5.1%)

Memory
17.2MiB live, 108.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168681
0178612
11124611
08135571
Stop Event
iter-limit
node-limit
iter-limit
Counts
50 → 124
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)))
#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))
#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))
#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 (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)))
(/.f64 (-.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 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 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 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 im)) (/.f64 (*.f64 (cos.f64 re) #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 (*.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 (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 im)) (neg.f64 (*.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))) (neg.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(+.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 (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))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 1/2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
re
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))
(*.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))))
(*.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (-.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.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))) (*.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.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))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.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))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.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))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.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 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))))
(neg.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 im))) (exp.f64 im)))
(neg.f64 (-.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im))))
(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))) (neg.f64 (neg.f64 (exp.f64 im))))
(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)) (neg.f64 (neg.f64 (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))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.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 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.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))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))) (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.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 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (neg.f64 (exp.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)))) (exp.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 (exp.f64 (+.f64 im (neg.f64 im))) (exp.f64 im))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 im))))
(-.f64 (cosh.f64 im) (neg.f64 (sinh.f64 (neg.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 im #s(literal -1 binary64))
(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 (exp.f64 (+.f64 im (neg.f64 im))) (exp.f64 (neg.f64 im)))
(-.f64 (cosh.f64 im) (sinh.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 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #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 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 (*.f64 #s(literal 2 binary64) (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 (fma.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 (fma.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 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#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))) (cos.f64 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 (+ (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)) #s(literal 1 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) #s(literal 1 binary64))
#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 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#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)))

eval11.0ms (0.3%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 227 to 466 computations (62% saved)

prune26.0ms (0.8%)

Memory
-42.5MiB live, 10.8MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10210112
Fresh000
Picked101
Done000
Total10310113
Accuracy
100.0%
Counts
113 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 re) #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 (*.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 (*.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 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
5.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.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))))
97.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
78.9%
(*.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))))
58.7%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
63.8%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
78.9%
#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)))
63.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
54.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
Compiler

Compiled 332 to 276 computations (16.9% saved)

series16.0ms (0.5%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
20 → 71
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 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(*.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 #s(literal 1/2 binary64) (cos.f64 re))
#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 (* (* 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)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im im))
(*.f64 im im)
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 (* 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 (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (* -1/4 (pow im 2)) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (* 1/48 (pow im 2))))) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (+ (* 1/48 (pow im 2)) (* (pow re 2) (- (* -1/1440 (pow im 2)) 1/720)))))) 1/2))))))
#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 (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #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)))
#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))
#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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 2 (cosh im)) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#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 (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* 1/2 (* im im)) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (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 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* 1/2 (* (pow im 2) (cos re)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* (pow im 2) (+ (* 1/2 (cos re)) (/ (cos re) (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
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) (* (* 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)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* 1/2 (* im im)) (* im im))
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) (* (* 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)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* 1/2 (* im im)) (* im im))
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) (* (* 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)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* 1/2 (* im im)) (* im im))
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) (* (* 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)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* 1/2 (* im im)) (* im im))
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) (* (* 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)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* 1/2 (* im im)) (* im im))

rewrite156.0ms (4.6%)

Memory
35.7MiB live, 168.0MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581533
02821411
117091411
083191324
Stop Event
iter-limit
node-limit
iter-limit
Counts
91 → 260
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 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(*.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 #s(literal 1/2 binary64) (cos.f64 re))
#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 (* (* 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)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im im))
(*.f64 im im)
#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 (* 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 (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (* -1/4 (pow im 2)) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (* 1/48 (pow im 2))))) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (+ (* 1/48 (pow im 2)) (* (pow re 2) (- (* -1/1440 (pow im 2)) 1/720)))))) 1/2))))))
#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 (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #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)))
#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))
#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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 2 (cosh im)) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#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 (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* 1/2 (* im im)) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (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 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* 1/2 (* (pow im 2) (cos re)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* (pow im 2) (+ (* 1/2 (cos re)) (/ (cos re) (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)
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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))
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(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
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(/.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)))
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(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))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
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(-.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im))))
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(+.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))
#s(literal 2 binary64)
(*.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)))
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(/.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 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
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(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
im
#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)))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
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(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 (*.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 im im) (*.f64 im im) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 im im))))))
(/.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))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 im im))))
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(/.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 4 binary64)) (fma.f64 im im #s(literal -2 binary64)))
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(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im) #s(literal 2 binary64))
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(fma.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im) #s(literal 2 binary64))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 im) (fabs.f64 im) #s(literal 2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 im im) #s(literal 2 binary64))
(fma.f64 (neg.f64 im) (neg.f64 im) #s(literal 2 binary64))
(fma.f64 im im #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 (*.f64 im im) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 im im) #s(literal 2 binary64))))
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(-.f64 (*.f64 im im) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 im im)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im)) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64))))))
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(+.f64 (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
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#s(approx im im)
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#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)) 1/2) #s(literal 1 binary64))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 2 (cosh im)) 1/2) (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 (+ (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 (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (cos.f64 re))
#s(approx (* 1/2 (* im im)) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (cosh im) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 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 (* im im)) (cos re)) (cos re)) (*.f64 (cos.f64 re) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (*.f64 im im))) (*.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)))

eval37.0ms (1.1%)

Memory
-23.6MiB live, 78.1MiB allocated; 11ms collecting garbage
Compiler

Compiled 3 423 to 1 111 computations (67.5% saved)

prune17.0ms (0.5%)

Memory
-17.3MiB live, 29.1MiB allocated; 3ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New30410314
Fresh325
Picked055
Done000
Total30717324
Accuracy
100.0%
Counts
324 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 re) #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 (*.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 (*.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 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
97.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
78.9%
(*.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))))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
46.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
58.7%
(*.f64 #s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
78.9%
#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)))
3.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (/.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))) #s(literal 1/2 binary64)))
63.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
54.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
47.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
54.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
27.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
32.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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))))
33.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
30.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
Compiler

Compiled 581 to 504 computations (13.3% saved)

series16.0ms (0.5%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Counts
29 → 86
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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 (cos re) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 re re)
#s(literal -1/2 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 (* 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 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (* -1/4 (pow im 2)) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (* 1/48 (pow im 2))))) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (+ (* 1/48 (pow im 2)) (* (pow re 2) (- (* -1/1440 (pow im 2)) 1/720)))))) 1/2))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (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 (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* -1/720 (pow re 6))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* -1/720 (pow re 4))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (* -1/720 (pow re 2))))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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))
#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 (exp im) #s(hole binary64 1))
#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 im #s(hole binary64 im))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#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 (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* 1/2 (* (pow im 2) (cos re)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* (pow im 2) (+ (* 1/2 (cos re)) (/ (cos re) (pow im 2))))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 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)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
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)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 (* re re) -1/2)
2.0ms
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)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 (* re re) -1/2)
2.0ms
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)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 (* re re) -1/2)
2.0ms
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)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 (* re re) -1/2)
1.0ms
re
@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)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 (* re re) -1/2)

rewrite195.0ms (5.8%)

Memory
12.1MiB live, 241.7MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231907
03491760
120931760
098011700
Stop Event
iter-limit
node-limit
iter-limit
Counts
115 → 328
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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 (cos re) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 re re)
#s(literal -1/2 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 (* 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 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (* -1/4 (pow im 2)) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (* 1/48 (pow im 2))))) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (+ (* 1/48 (pow im 2)) (* (pow re 2) (- (* -1/1440 (pow im 2)) 1/720)))))) 1/2))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (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 (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* -1/720 (pow re 6))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* -1/720 (pow re 4))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (* -1/720 (pow re 2))))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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))
#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 (exp im) #s(hole binary64 1))
#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 im #s(hole binary64 im))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#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 (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* 1/2 (* (pow im 2) (cos re)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* (pow im 2) (+ (* 1/2 (cos re)) (/ (cos re) (pow im 2))))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 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)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Outputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 im) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) #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)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (-.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)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (*.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 #s(approx (exp (neg im)) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (*.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 #s(approx (exp (neg im)) #s(literal 1 binary64)) (*.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)) #s(approx (exp (neg im)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (*.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))
#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))))
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(pow.f64 re #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(fabs.f64 (neg.f64 (*.f64 re re)))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 (fabs.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))
#s(literal -1/2 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))) (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.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 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (cosh.f64 im) #s(literal 2 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 #s(literal 1/48 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #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 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (*.f64 re re))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (*.f64 im im) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/1440 binary64) #s(literal -1/720 binary64)) (*.f64 re re))) (*.f64 re re) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 re re) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* re re)) 1/24) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* re re) (*.f64 re re))
#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 (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) (-.f64 (-.f64 (+.f64 (pow.f64 re #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 re re))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 (*.f64 re re) (*.f64 re re))))
#s(approx (+ (* -1/720 (* re re)) 1/24) (*.f64 (*.f64 re re) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* re re)) 1/24) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64)) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 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 (exp im) #s(literal 1 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#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 im im)
#s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 2 (cosh im)) 1/2) (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 (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (cos.f64 re))
#s(approx (+ (* (* im im) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) 1/2) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (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 (+ (* (* im im) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* im im) 1/24) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 2 (cosh im)) 1/2) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (cos.f64 re) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (*.f64 im im))) (*.f64 im im)))
#s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* (* im im) 1/2) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))))
#s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (*.f64 im im)))
#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)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval50.0ms (1.5%)

Memory
-18.3MiB live, 86.0MiB allocated; 21ms collecting garbage
Compiler

Compiled 4 621 to 1 706 computations (63.1% saved)

prune21.0ms (0.6%)

Memory
-6.7MiB live, 39.7MiB allocated; 3ms collecting garbage
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New31412326
Fresh347
Picked235
Done055
Total31924343
Accuracy
100.0%
Counts
343 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) #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)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (-.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)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
97.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
78.9%
(*.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))))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
46.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
58.7%
(*.f64 #s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
62.7%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
78.9%
#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)))
3.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (/.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))) #s(literal 1/2 binary64)))
63.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
54.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
47.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
38.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
23.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
54.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
54.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
54.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
30.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
27.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
33.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
32.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64))))
30.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
9.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
Compiler

Compiled 954 to 839 computations (12.1% saved)

series16.0ms (0.5%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Counts
38 → 88
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64))
(*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))
(*.f64 (*.f64 re re) re)
(*.f64 re re)
re
#s(literal -1/720 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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 (cos re) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 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(literal 2 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 (* 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 (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (* -1/4 (pow im 2)) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (* 1/48 (pow im 2))))) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (+ (* 1/48 (pow im 2)) (* (pow re 2) (- (* -1/1440 (pow im 2)) 1/720)))))) 1/2))))))
#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 (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (* (* (* (* re re) re) (* (* re re) re)) -1/720) #s(hole binary64 (* -1/720 (pow re 6))))
#s(approx (* (* (* re re) re) (* (* re re) re)) #s(hole binary64 (pow re 6)))
#s(approx (* (* re re) re) #s(hole binary64 (pow re 3)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (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 (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* -1/720 (pow re 6))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* -1/720 (pow re 4))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (* -1/720 (pow re 2))))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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))
#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 (exp im) #s(hole binary64 1))
#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 im #s(hole binary64 im))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* im im) 1/2) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 1))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (/ 1 (pow im 2))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 (pow im 2))) (pow im 2))))
#s(approx (/ 1 (* im im)) #s(hole binary64 (/ 1 (pow im 2))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#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 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* 1/2 (* (pow im 2) (cos re)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* (pow im 2) (+ (* 1/2 (cos re)) (/ (cos re) (pow im 2))))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (+ 1/2 (/ 1 (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 (* (* 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
3.0ms
re
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* (* (* (* re re) re) (* (* re re) re)) -1/720) (* (* (* re re) re) (* (* re re) re)) (* (* re re) re) (* re re) re -1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) 1/24 -1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
3.0ms
re
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* (* (* (* re re) re) (* (* re re) re)) -1/720) (* (* (* re re) re) (* (* re re) re)) (* (* re re) re) (* re re) re -1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) 1/24 -1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
2.0ms
im
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* (* (* (* re re) re) (* (* re re) re)) -1/720) (* (* (* re re) re) (* (* re re) re)) (* (* re re) re) (* re re) re -1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) 1/24 -1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
2.0ms
im
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* (* (* (* re re) re) (* (* re re) re)) -1/720) (* (* (* re re) re) (* (* re re) re)) (* (* re re) re) (* re re) re -1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) 1/24 -1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
2.0ms
re
@0
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* (* (* (* re re) re) (* (* re re) re)) -1/720) (* (* (* re re) re) (* (* re re) re)) (* (* re re) re) (* re re) re -1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) 1/24 -1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)

rewrite194.0ms (5.7%)

Memory
-11.5MiB live, 211.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03162070
03511847
119651839
091491748
Stop Event
iter-limit
node-limit
iter-limit
Counts
126 → 411
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64))
(*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))
(*.f64 (*.f64 re re) re)
(*.f64 re re)
re
#s(literal -1/720 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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 (cos re) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 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(literal 2 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 (* 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 (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (* -1/4 (pow im 2)) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (* 1/48 (pow im 2))))) 1/2))))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (- (+ (* -1/4 (pow im 2)) (* (pow re 2) (+ 1/24 (+ (* 1/48 (pow im 2)) (* (pow re 2) (- (* -1/1440 (pow im 2)) 1/720)))))) 1/2))))))
#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 (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (* (* (* (* re re) re) (* (* re re) re)) -1/720) #s(hole binary64 (* -1/720 (pow re 6))))
#s(approx (* (* (* re re) re) (* (* re re) re)) #s(hole binary64 (pow re 6)))
#s(approx (* (* re re) re) #s(hole binary64 (pow re 3)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (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 (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* -1/720 (pow re 6))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* -1/720 (pow re 4))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(hole binary64 (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (* -1/720 (pow re 2))))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(hole binary64 (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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))
#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 (exp im) #s(hole binary64 1))
#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 im #s(hole binary64 im))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* im im) 1/2) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 1))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (/ 1 (pow im 2))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 (pow im 2))) (pow im 2))))
#s(approx (/ 1 (* im im)) #s(hole binary64 (/ 1 (pow im 2))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#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 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* 1/2 (* (pow im 2) (cos re)))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(hole binary64 (* (pow im 2) (+ (* 1/2 (cos re)) (/ (cos re) (pow im 2))))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (+ 1/2 (/ 1 (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 (* (* 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 (exp.f64 im) #s(approx (exp (neg im)) #s(literal 1 binary64))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))))
(fma.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) #s(approx (exp (neg im)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (exp.f64 im) #s(approx (exp (neg im)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) #s(approx (exp (neg im)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (neg.f64 (exp.f64 im))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64)) (-.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))))))
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(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 im im))) (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 2 binary64) (*.f64 im im))))
(-.f64 (*.f64 im im) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 im im)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 8 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 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (*.f64 im im))))))
(+.f64 (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #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 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 (*.f64 #s(literal 2 binary64) (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 (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (*.f64 re re))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (*.f64 im im) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/1440 binary64) #s(literal -1/720 binary64)) (*.f64 re re))) (*.f64 re re) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 re re) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal -1/720 binary64) re) re #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal -1/720 binary64) re) re #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64)))
#s(approx (* (* (* (* re re) re) (* (* re re) re)) -1/720) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 re re)) re) #s(literal -1/720 binary64)))
#s(approx (* (* (* re re) re) (* (* re re) re)) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 re re)) re))
#s(approx (* (* re re) re) (*.f64 (*.f64 re re) re))
#s(approx (* re re) (*.f64 re re))
#s(approx re re)
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal -1/720 binary64) re) re #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* re re)) 1/24) (fma.f64 (*.f64 #s(literal -1/720 binary64) re) re #s(literal 1/24 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 re re)) re) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 re re)) re) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 re re)) re) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 re re)) re) (-.f64 (-.f64 (+.f64 (pow.f64 re #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 re re))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 (*.f64 re re) (*.f64 re re))))
#s(approx (+ (* -1/720 (* re re)) 1/24) (*.f64 (*.f64 re re) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* re re)) 1/24) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64)) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 (+ (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)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 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 (exp im) #s(literal 1 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#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 im im)
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (cos.f64 re))
#s(approx (+ (* (* im im) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) 1/2) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* im im) 1/2) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (* im im) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) 1/2) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im)))
#s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (/ 1 (* im im)) (/.f64 #s(literal 1 binary64) (*.f64 im im)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 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)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (cos.f64 re) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (*.f64 im im))) (*.f64 im im)))
#s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* (* im im) 1/2) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* (* im im) 1/2) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1 (* im im)) 1/2) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 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 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#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)))

eval78.0ms (2.3%)

Memory
20.4MiB live, 118.0MiB allocated; 35ms collecting garbage
Compiler

Compiled 5 697 to 2 396 computations (57.9% saved)

prune47.0ms (1.4%)

Memory
-10.3MiB live, 36.1MiB allocated; 6ms collecting garbage
Pruning

32 alts after pruning (21 fresh and 11 done)

PrunedKeptTotal
New41214426
Fresh4711
Picked235
Done088
Total41832450
Accuracy
100.0%
Counts
450 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) #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)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (-.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)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
97.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
78.9%
(*.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))))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
46.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
62.7%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
52.3%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg 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)))))
27.9%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
78.9%
#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)))
3.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (/.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))) #s(literal 1/2 binary64)))
63.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
54.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
47.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
38.2%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (*.f64 im im))))
38.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
37.1%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 im im)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
37.1%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
38.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
17.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
23.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
54.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
54.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
54.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
30.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
27.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
33.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
30.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
32.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64))))
9.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/720 binary64)))))
9.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal -1/720 binary64)))))
9.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
Compiler

Compiled 1 230 to 923 computations (25% saved)

regimes109.0ms (3.2%)

Memory
25.9MiB live, 72.3MiB allocated; 4ms collecting garbage
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #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)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/720 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re 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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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))))
(*.f64 #s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 im im)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re 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))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.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 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (/.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))) #s(literal 1/2 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)))
#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)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.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 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) #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)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (-.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)) #s(approx (exp (neg im)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 re) #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 (*.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 (*.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 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (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:

31.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
20.0ms
re
19.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
15.0ms
(cos.f64 re)
11.0ms
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)

regimes81.0ms (2.4%)

Memory
-43.4MiB live, 56.9MiB allocated; 23ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #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)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/720 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re 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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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))))
(*.f64 #s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 im im)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re 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))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.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 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (/.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))) #s(literal 1/2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
Calls

6 calls:

31.0ms
im
11.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
10.0ms
re
9.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
97.7%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
97.7%1(cos.f64 re)
97.7%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
97.7%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
97.7%1re
97.7%1im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes61.0ms (1.8%)

Memory
7.9MiB live, 54.3MiB allocated; 2ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #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)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/720 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re 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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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))))
(*.f64 #s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 im im)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re 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))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.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
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

6 calls:

16.0ms
(cos.f64 re)
10.0ms
re
9.0ms
im
9.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
90.4%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
90.2%2(cos.f64 re)
90.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.1%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
90.2%2re
94.7%3im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes10.0ms (0.3%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #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)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/720 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re 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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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))))
(*.f64 #s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 im im)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re 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))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re 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))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

1 calls:

8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
98.8%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)

regimes60.0ms (1.8%)

Memory
3.2MiB live, 49.7MiB allocated; 2ms collecting garbage
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #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)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/720 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re 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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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))))
(*.f64 #s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 im im)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

6 calls:

20.0ms
re
8.0ms
im
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
(cos.f64 re)
7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
72.9%2(cos.f64 re)
72.9%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
63.8%1re
63.8%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
63.8%1im
72.9%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)

regimes48.0ms (1.4%)

Memory
-25.5MiB live, 23.1MiB allocated; 39ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #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)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/720 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re 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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/720 binary64))) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.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))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/720 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

3 calls:

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
71.6%2(cos.f64 re)
71.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
71.6%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)

regimes20.0ms (0.6%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #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)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (*.f64 im im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

3 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
69.1%2(cos.f64 re)
69.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
69.1%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)

regimes16.0ms (0.5%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (*.f64 re re) #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 (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #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)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
Calls

3 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.0%2(cos.f64 re)
68.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
68.0%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)

regimes27.0ms (0.8%)

Memory
-24.1MiB live, 24.6MiB allocated; 5ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
Calls

6 calls:

9.0ms
(cos.f64 re)
4.0ms
re
4.0ms
im
4.0ms
(*.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
54.4%1re
54.4%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
54.4%1im
59.8%2(cos.f64 re)
59.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
59.8%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)

regimes9.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (*.f64 #s(approx (+ (/ 1 (* im im)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 im im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
Calls

3 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(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
53.0%2(cos.f64 re)
53.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
60.0%3(*.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)

regimes15.0ms (0.4%)

Memory
-18.4MiB live, 28.4MiB allocated; 2ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
Calls

6 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
re
2.0ms
im
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
53.0%2(cos.f64 re)
53.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
49.6%2re
47.7%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
47.7%1im
53.0%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)

regimes6.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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 (cos re) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #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 (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (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)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 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
52.8%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
37.3%3(cos.f64 re)
37.3%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes5.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* 1/2 (* im im)) (cos re)) (cos re)) #s(approx (+ (* (* im im) 1/2) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))
Calls

4 calls:

1.0ms
re
1.0ms
im
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
47.4%2im
47.4%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
33.0%2re
47.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes6.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
im
1.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
27.4%1re
27.4%1(cos.f64 re)
27.4%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
27.4%1im
27.4%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
27.4%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
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999949
1.0
0.0ms
-2.4945734853377097e+34
-0.9981031090334542
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999949
1.0
0.0ms
-2.4945734853377097e+34
-0.9981031090334542
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
-0.006009545226214711
0.0330565525770132
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.006009545226214711
0.0330565525770132
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
-0.006009545226214711
0.0330565525770132
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.006009545226214711
0.0330565525770132
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch4.0ms (0.1%)

Memory
-45.5MiB live, 0.6MiB allocated; 5ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.006009545226214711
0.0330565525770132
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
1.0927083434593965
3.3717835147436374e+74
0.0ms
-0.006009545226214711
0.0330565525770132
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0030047726131073554
0.0010632208059946095
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0927083434593965
3.3717835147436374e+74
0.0ms
-0.006009545226214711
0.0330565525770132
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
1.0927083434593965
3.3717835147436374e+74
Compiler

Compiled 13 to 15 computations (-15.4% saved)

derivations469.0ms (13.9%)

Memory
44.0MiB live, 467.7MiB allocated; 45ms collecting garbage
Stop Event
fuel
Compiler

Compiled 212 to 128 computations (39.6% saved)

preprocess203.0ms (6%)

Memory
-8.8MiB live, 385.1MiB allocated; 145ms collecting garbage
Remove

(abs im)

(abs re)

Compiler

Compiled 2 772 to 2 192 computations (20.9% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...