math.cos on complex, real part

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.2s (33.5%)

Memory
-23.1MiB live, 1 595.3MiB allocated; 305ms collecting garbage
Samples
885.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 604.0ms
ival-cos: 253.0ms (41.9% of total)
ival-exp: 177.0ms (29.3% of total)
ival-mult!: 93.0ms (15.4% of total)
ival-neg: 60.0ms (9.9% of total)
ival-add!: 20.0ms (3.3% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess26.0ms (0.7%)

Memory
2.7MiB live, 49.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02668
111266
233266
3147138
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)

series9.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB 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
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)) (neg im) im (exp im))
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
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))

rewrite188.0ms (5.4%)

Memory
-18.0MiB live, 268.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168681
0178612
11038589
08305549
Stop Event
iter-limit
node-limit
iter-limit
Counts
50 → 123
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 (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 (*.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 (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)))))))
(/.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))))))
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re))))
(fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im)))))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(+.f64 (*.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.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 (neg.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 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(neg.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (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))) (expm1.f64 (+.f64 im im))))
(/.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (exp.f64 im))
(-.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 (+.f64 (exp.f64 im) (cosh.f64 im)) (sinh.f64 (neg.f64 im)))
(+.f64 (+.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 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 (+.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 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (-.f64 (sinh.f64 im) (cosh.f64 im)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(neg.f64 im)
im
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (*.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 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) (*.f64 #s(literal -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))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) #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)))

eval12.0ms (0.3%)

Memory
34.1MiB live, 34.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 109 to 441 computations (60.2% saved)

prune8.0ms (0.2%)

Memory
-27.6MiB live, 18.7MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1057112
Fresh000
Picked101
Done000
Total1067113
Accuracy
100.0%
Counts
113 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.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 (neg.f64 im))))
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
98.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
74.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
60.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
68.6%
#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)))
49.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
Compiler

Compiled 186 to 182 computations (2.2% saved)

series26.0ms (0.7%)

Memory
19.2MiB live, 65.6MiB allocated; 3ms collecting garbage
Counts
25 → 98
Calls
Call 1
Inputs
(fma.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 (neg.f64 im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 im)
im
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.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)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#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)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
#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))
Outputs
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (* -1/4 (exp (neg im)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (exp (neg im))))))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (exp im)) (* -1/1440 (exp (neg 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 (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (exp (neg im)))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp (neg im)))) (* 1/2 (exp (neg im))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp (neg im))) (* 1/48 (* (pow re 2) (exp (neg im)))))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp (neg im)))) (* 1/48 (exp (neg 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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 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) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg 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 (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (* (cos re) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (cos re)))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* -1/12 (cos re)) (* 1/12 (cos re))))))))))))
#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 (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* 1/4 (* im (cos re))))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/12 (* im (cos re))) (* 1/4 (cos re)))))))))
#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 (* (* 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 (* 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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (+ (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 (exp im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#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)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (* (cos re) (exp (* -1 im))))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
im
@inf
((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
4.0ms
im
@-inf
((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
4.0ms
re
@0
((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
3.0ms
re
@inf
((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
3.0ms
re
@-inf
((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))

rewrite245.0ms (7%)

Memory
-42.8MiB live, 258.2MiB allocated; 90ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03852148
04161860
124431860
091511771
Stop Event
iter-limit
node-limit
iter-limit
Counts
123 → 342
Calls
Call 1
Inputs
(fma.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 (neg.f64 im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 im)
im
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.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)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#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)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
#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 (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (* -1/4 (exp (neg im)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (exp (neg im))))))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (exp im)) (* -1/1440 (exp (neg 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 (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (exp (neg im)))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp (neg im)))) (* 1/2 (exp (neg im))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp (neg im))) (* 1/48 (* (pow re 2) (exp (neg im)))))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp (neg im)))) (* 1/48 (exp (neg 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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 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) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg 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 (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (* (cos re) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (cos re)))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* -1/12 (cos re)) (* 1/12 (cos re))))))))))))
#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 (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* 1/4 (* im (cos re))))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/12 (* im (cos re))) (* 1/4 (cos re)))))))))
#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 (* (* 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 (* 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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (+ (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 (exp im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#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)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (* (cos re) (exp (* -1 im))))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
(*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (cos.f64 re)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 re) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))
(-.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im))))
(-.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))))
(+.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.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 (neg.f64 im))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(literal 1/2 binary64)
(/.f64 (+.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)))))
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
im
(*.f64 (*.f64 (exp.f64 (neg.f64 im)) (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 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))
(*.f64 (cos.f64 re) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.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 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (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 (*.f64 (log.f64 (exp.f64 im)) #s(literal -1 binary64)))
(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)
#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)))
(/.f64 (fma.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 im #s(literal 3 binary64))) (*.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 im #s(literal 3 binary64))) (*.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 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 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.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 #s(literal -1/2 binary64) (exp.f64 (neg.f64 im))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 im #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 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.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)))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
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#s(approx im im)
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#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (exp im) (exp.f64 im))
#s(approx (exp (neg im)) (exp.f64 (neg.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 (* 2 (cosh 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)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 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 (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval49.0ms (1.4%)

Memory
5.8MiB live, 103.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 4 841 to 1 451 computations (70% saved)

prune15.0ms (0.4%)

Memory
39.7MiB live, 39.7MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New38012392
Fresh112
Picked145
Done000
Total38217399
Accuracy
100.0%
Counts
399 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.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 (neg.f64 im))))
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
98.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
74.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
28.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
11.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
68.6%
#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)))
29.1%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
47.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
59.4%
#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))))
47.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
28.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
33.7%
#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))))
38.5%
#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))))
31.4%
#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 531 to 515 computations (3% saved)

series17.0ms (0.5%)

Memory
-5.6MiB live, 41.9MiB allocated; 1ms collecting garbage
Counts
30 → 92
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(cosh.f64 im)
im
#s(literal 2 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 (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 (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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 re re)
#s(literal -1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (*.f64 re re) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
Outputs
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #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) (* (cosh im) 2)) #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) (* (cosh im) 2)) #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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (* re re) -1/4) #s(hole binary64 (* -1/4 (pow re 2))))
#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) 1/2) (* (cosh im) 2)) #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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #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) (* (cosh im) 2)) #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 (* (cosh im) 2) #s(hole binary64 2))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* (cosh im) 2) #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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 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 (+ (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 (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (cosh im) 2) #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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

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

rewrite179.0ms (5.1%)

Memory
2.4MiB live, 242.9MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02982052
03251874
117131874
082211760
Stop Event
iter-limit
node-limit
iter-limit
Counts
122 → 280
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(cosh.f64 im)
im
#s(literal 2 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 (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 (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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 re re)
#s(literal -1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (*.f64 re re) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #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) (* (cosh im) 2)) #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) (* (cosh im) 2)) #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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (* re re) -1/4) #s(hole binary64 (* -1/4 (pow re 2))))
#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) 1/2) (* (cosh im) 2)) #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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) #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) (* (cosh im) 2)) #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 (* (cosh im) 2) #s(hole binary64 2))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* (cosh im) 2) #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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 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 (+ (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 (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (cosh im) 2) #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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) #s(literal 2 binary64))
(*.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 (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 (*.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 (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)))))))
(/.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))))))
(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 (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 (*.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 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im))) (-.f64 (cosh.f64 im) (cosh.f64 im)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
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(/.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
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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))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
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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))
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64))
#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 (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))))))
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(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 (*.f64 re re) #s(literal 1/24 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
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(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
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(-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
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(+.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(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 #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(*.f64 #s(approx (+ (* (* re re) -1/4) 1/2) (*.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(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im))) (-.f64 (cosh.f64 im) (cosh.f64 im)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
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(/.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 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
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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))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im))))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (*.f64 re re) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 re re))
(*.f64 re (*.f64 re #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (*.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 #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 (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (cos re) 1/2) (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 (* (cos re) 1/2) (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 (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 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 #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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 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 (+ (* (+ (* 1/24 (* 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 (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/24 (* re re)) -1/2) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* re re) -1/4) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (* re re) -1/4) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (cos re) 1/2) (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 (* (cos re) 1/2) (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 (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 (* (cos re) 1/2) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 binary64)))
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#s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64)))
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#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
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#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
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#s(approx (* (cos re) 1/2) (*.f64 (cos.f64 re) #s(literal 1/2 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))) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
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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)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (cosh im) #s(literal 1 binary64))
#s(approx (cosh im) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (* 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 (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
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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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 im im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* 2 (cosh 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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* 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 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval30.0ms (0.9%)

Memory
-15.4MiB live, 77.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 629 to 1 086 computations (58.7% saved)

prune17.0ms (0.5%)

Memory
4.3MiB live, 51.6MiB allocated; 1ms collecting garbage
Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New2515256
Fresh178
Picked055
Done044
Total25221273
Accuracy
100.0%
Counts
273 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.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 (neg.f64 im))))
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
21.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
98.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
74.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
28.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
24.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
22.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
11.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
68.6%
#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)))
29.1%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
47.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
59.4%
#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))))
47.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
28.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
33.7%
#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))))
38.5%
#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))))
31.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
14.6%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 binary64)))))
Compiler

Compiled 632 to 612 computations (3.2% saved)

series13.0ms (0.4%)

Memory
-21.4MiB live, 31.2MiB allocated; 3ms collecting garbage
Counts
31 → 74
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 (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 re re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
#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)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(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(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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (* re re) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) -1/2) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* (* re re) -1/2) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#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 (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#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 (+ (* (+ (* (* 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 (+ (* 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 (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#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
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))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* 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))) (* 1/2 (cos re)) (cos re) (+ (* (* re re) -1/2) 1))
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))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* 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))) (* 1/2 (cos re)) (cos re) (+ (* (* re re) -1/2) 1))
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))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* 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))) (* 1/2 (cos re)) (cos re) (+ (* (* re re) -1/2) 1))
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))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* 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))) (* 1/2 (cos re)) (cos re) (+ (* (* re re) -1/2) 1))
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))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* 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))) (* 1/2 (cos re)) (cos re) (+ (* (* re re) -1/2) 1))

rewrite201.0ms (5.7%)

Memory
33.1MiB live, 302.2MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02761514
03001409
116071409
084001329
Stop Event
iter-limit
node-limit
iter-limit
Counts
105 → 239
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 (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 re re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
#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)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(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(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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (* re re) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (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 (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) -1/2) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* (* re re) -1/2) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#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 (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#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 (+ (* (+ (* (* 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 (+ (* 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 (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#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 (*.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 (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)))))
(/.f64 (-.f64 (*.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 (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)))))))
(/.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))))))
(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 #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 (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))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (*.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 (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 (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))))
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#s(approx im im)
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#s(approx (* im im) (*.f64 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 (+ (* (+ (* (* 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 (+ (* 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 (* (* 2 (cosh im)) 1/2) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 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)))

eval29.0ms (0.8%)

Memory
22.0MiB live, 68.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 235 to 1 218 computations (62.3% saved)

prune28.0ms (0.8%)

Memory
-48.6MiB live, 52.2MiB allocated; 13ms collecting garbage
Pruning

27 alts after pruning (15 fresh and 12 done)

PrunedKeptTotal
New2659274
Fresh167
Picked235
Done099
Total26827295
Accuracy
100.0%
Counts
295 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.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 (neg.f64 im))))
100.0%
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
21.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
98.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
74.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
28.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
10.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
30.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
22.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
68.3%
(*.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)))
11.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
68.6%
#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)))
29.1%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
59.4%
#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))))
59.4%
#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))))
47.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
59.4%
#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))))
33.5%
#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)))))
28.9%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 binary64)))
33.7%
#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))))
38.5%
#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))))
31.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
31.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))))
27.2%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64)))))
14.6%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 binary64)))))
Compiler

Compiled 835 to 687 computations (17.7% saved)

regimes53.0ms (1.5%)

Memory
19.5MiB live, 113.8MiB allocated; 3ms collecting garbage
Counts
34 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) #s(literal 1 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))) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im 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) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.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 (neg.f64 im))))
Outputs
(fma.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 (neg.f64 im))))
Calls

6 calls:

9.0ms
(cos.f64 re)
9.0ms
im
9.0ms
re
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
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)

regimes52.0ms (1.5%)

Memory
15.1MiB live, 112.4MiB allocated; 4ms collecting garbage
Counts
33 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) #s(literal 1 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))) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im 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) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
Calls

6 calls:

10.0ms
re
9.0ms
(cos.f64 re)
9.0ms
im
8.0ms
(*.f64 #s(literal 1/2 binary64) (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
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)

regimes47.0ms (1.3%)

Memory
11.6MiB live, 105.8MiB allocated; 2ms collecting garbage
Counts
30 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) #s(literal 1 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))) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im 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) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
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:

9.0ms
im
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
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
98.6%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
98.6%1(cos.f64 re)
98.6%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
98.6%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
98.6%1re
98.6%1im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes47.0ms (1.4%)

Memory
-33.6MiB live, 110.4MiB allocated; 5ms collecting garbage
Counts
29 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) #s(literal 1 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))) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im 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) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

6 calls:

9.0ms
im
8.0ms
re
7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms
(cos.f64 re)
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Results
AccuracySegmentsBranch
89.2%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
87.3%2(cos.f64 re)
87.3%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)))
86.9%2re
95.1%3im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes7.0ms (0.2%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) #s(literal 1 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))) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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:

6.0ms
(*.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 (1.7%)

Memory
12.2MiB live, 105.2MiB allocated; 28ms collecting garbage
Counts
23 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

6 calls:

28.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
im
6.0ms
re
6.0ms
(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
68.6%1re
78.6%2(cos.f64 re)
78.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
68.6%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
68.6%1im
78.6%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)

regimes33.0ms (0.9%)

Memory
15.8MiB live, 55.9MiB allocated; 16ms collecting garbage
Counts
21 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

3 calls:

20.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
78.6%2(cos.f64 re)
78.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
78.6%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)

regimes21.0ms (0.6%)

Memory
-17.5MiB live, 29.0MiB allocated; 6ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.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)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
78.2%2(cos.f64 re)
78.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
78.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes14.0ms (0.4%)

Memory
-24.6MiB live, 23.0MiB allocated; 1ms collecting garbage
Counts
15 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.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
(cos.f64 re)
4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
77.9%2(cos.f64 re)
77.9%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
77.9%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)

regimes12.0ms (0.4%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Counts
14 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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 (* (* 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
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.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)))
Calls

3 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(cos.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
77.9%2(cos.f64 re)
77.9%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
77.9%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)

regimes33.0ms (0.9%)

Memory
-20.0MiB live, 35.8MiB allocated; 17ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 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:

18.0ms
im
3.0ms
re
3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(cos.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
61.1%2re
59.4%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
63.0%3im
69.0%2(cos.f64 re)
69.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
69.0%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)

regimes8.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Counts
8 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
#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))))
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

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
65.3%2(cos.f64 re)
65.3%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
65.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes8.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Counts
7 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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)))))
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 (* (* 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:

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
65.3%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
57.5%3(cos.f64 re)
57.5%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes16.0ms (0.5%)

Memory
-20.0MiB live, 28.4MiB allocated; 3ms collecting garbage
Counts
6 → 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 (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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 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 (cos re) #s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/24 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
Calls

6 calls:

5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms
im
2.0ms
re
2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
57.5%3(cos.f64 re)
57.5%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
47.9%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
52.8%2re
54.5%3im
53.8%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)

regimes4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(literal 1 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 (+ (* 1/24 (* 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 (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
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 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
53.8%2(cos.f64 re)
53.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes10.0ms (0.3%)

Memory
-28.3MiB live, 18.9MiB allocated; 2ms collecting garbage
Counts
3 → 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 (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 (+ (* 1/24 (* re re)) -1/2) #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) (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)))
Calls

6 calls:

2.0ms
re
1.0ms
im
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
34.1%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
31.4%1re
34.2%2im
34.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
34.8%2(cos.f64 re)
34.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes6.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB 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
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
re
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
28.9%1re
28.9%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
28.9%1im
28.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
28.9%1(cos.f64 re)
28.9%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999997924
1.0
0.0ms
-inf
-21799.722381554122
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999997924
1.0
0.0ms
-inf
-21799.722381554122
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
-0.0883676756394226
0.01607496778024869
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
-0.0883676756394226
0.01607496778024869
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
-0.0883676756394226
0.01607496778024869
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
-0.0883676756394226
0.01607496778024869
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
-0.21007150004542594
-0.1796043400584504
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
-0.21007150004542594
-0.1796043400584504
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
-0.0188558924255692
0.008037483890124346
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
1.0
110.90608503773738
0.0ms
-0.0883676756394226
0.01607496778024869
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
0.4985520505021269
0.49888976090852316
0.0ms
-0.0188558924255692
0.008037483890124346
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0188558924255692
0.008037483890124346
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0188558924255692
0.008037483890124346
Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations500.0ms (14.2%)

Memory
-10.1MiB live, 467.4MiB allocated; 65ms collecting garbage
Stop Event
fuel
Compiler

Compiled 228 to 136 computations (40.4% saved)

preprocess306.0ms (8.7%)

Memory
50.8MiB live, 412.1MiB allocated; 98ms collecting garbage
Remove

(abs im)

(abs re)

Compiler

Compiled 3 226 to 2 628 computations (18.5% saved)

end0.0ms (0%)

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

Profiling

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