math.cos on complex, real part

Time bar (total: 6.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample1.5s (23.9%)

Memory
26.4MiB live, 784.5MiB allocated; 220ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 873.0ms
ival-cos: 506.0ms (58% of total)
ival-exp: 190.0ms (21.8% of total)
ival-mult!: 101.0ms (11.6% of total)
ival-neg: 48.0ms (5.5% of total)
ival-add!: 25.0ms (2.9% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

preprocess106.0ms (1.7%)

Memory
-22.2MiB live, 29.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02668
111254
236344
3198934
Stop Event
1×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)

series11.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB 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
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))
2.0ms
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))
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)) (neg im) im (exp im))
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
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))

rewrite576.0ms (9.4%)

Memory
-17.8MiB live, 416.2MiB allocated; 72ms collecting garbage
Counts
50 → 74
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 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 #s(literal -1/2 binary64))
(cos.f64 re)
(cos.f64 (neg.f64 re))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(/.f64 (-.f64 (*.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (-.f64 (*.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(+.f64 (cosh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(exp.f64 (neg.f64 im))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(neg.f64 im)
im
(+.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/1440 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/48 binary64))) (*.f64 re re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
#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 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #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)) (* 2 (cosh im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (cos.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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 #s(literal 1/2 binary64) (cos.f64 re))) (*.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 (*.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 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 im)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.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 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #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 (* 2 (cosh 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)) (* 2 (cosh im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 2 (cosh im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval7.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 527 to 265 computations (49.7% saved)

prune5.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New54862
Fresh000
Picked101
Done000
Total55863
Accuracy
100.0%
Counts
63 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
▶2.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
▶98.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
▶100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
74.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
▶65.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶71.7%
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
48.2%
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
Compiler

Compiled 212 to 196 computations (7.5% saved)

series50.0ms (0.8%)

Memory
-10.5MiB live, 35.5MiB allocated; 4ms collecting garbage
Counts
30 → 108
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(exp.f64 im)
(*.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(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 im) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Outputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* 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 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (+ (* (* re re) -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)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (* 1/2 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (* -1/4 (/ (* (pow re 2) (- (pow (exp (neg im)) 2) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/2 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (* 1/2 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/4 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* 1/48 (/ (* (pow re 2) (- (pow (exp (neg im)) 2) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (* 1/2 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/4 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (pow (exp (neg im)) 2) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/48 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp 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 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#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)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (* 1/2 (/ (* (cos re) (- (pow (exp (neg im)) 2) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 1))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 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 (neg im) #s(hole binary64 (* -1 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 (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re))))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))))))))))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 2))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (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)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (* -4 im)))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (* im (- (* -8/3 (pow im 2)) 4))))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (* im (- (* (pow im 2) (- (* -8/15 (pow im 2)) 8/3)) 4))))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -16/315 (pow im 2)) 8/15)) 8/3)) 4))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 1))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (+ 1 (* -2 im))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (+ 1 (* im (- (* 2 im) 2)))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))))
#s(approx (* (exp im) (exp im)) #s(hole binary64 1))
#s(approx (* (exp im) (exp im)) #s(hole binary64 (+ 1 (* 2 im))))
#s(approx (* (exp im) (exp im)) #s(hole binary64 (+ 1 (* im (+ 2 (* 2 im))))))
#s(approx (* (exp im) (exp im)) #s(hole binary64 (+ 1 (* im (+ 2 (* im (+ 2 (* 4/3 im))))))))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (* -2 im)))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (- (pow (exp (neg im)) 2) (pow (exp im) 2))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (pow (exp (neg im)) 2)))
#s(approx (* (exp im) (exp im)) #s(hole binary64 (pow (exp im) 2)))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (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))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (* 1/2 (/ (* (cos re) (- (pow (exp (* -1 im)) 2) (pow (exp im) 2))) (- (exp (* -1 im)) (exp im))))))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 (/ (- (pow (exp (* -1 im)) 2) (pow (exp im) 2)) (- (exp (* -1 im)) (exp im)))))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (- (pow (exp (* -1 im)) 2) (pow (exp im) 2))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (pow (exp (* -1 im)) 2)))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
re
@-inf
((* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) 1/2 (cos re) re (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (* 2 (cosh im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)) (- (exp (neg im)) (exp im)))
9.0ms
im
@inf
((* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) 1/2 (cos re) re (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (* 2 (cosh im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)) (- (exp (neg im)) (exp im)))
6.0ms
re
@0
((* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) 1/2 (cos re) re (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (* 2 (cosh im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)) (- (exp (neg im)) (exp im)))
6.0ms
im
@-inf
((* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) 1/2 (cos re) re (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (* 2 (cosh im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)) (- (exp (neg im)) (exp im)))
4.0ms
im
@0
((* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) 1/2 (cos re) re (* 2 (cosh im)) 2 (cosh im) im (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (* 2 (cosh im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) 1 (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)) (- (exp (neg im)) (exp im)))

rewrite1.1s (18.2%)

Memory
-19.8MiB live, 737.0MiB allocated; 950ms collecting garbage
Counts
138 → 257
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(exp.f64 im)
(*.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(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 im) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* 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 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (+ (* (* re re) -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)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (* 1/2 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (* -1/4 (/ (* (pow re 2) (- (pow (exp (neg im)) 2) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/2 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (* 1/2 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/4 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* 1/48 (/ (* (pow re 2) (- (pow (exp (neg im)) 2) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (* 1/2 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/4 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (pow (exp (neg im)) 2) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/48 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp 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 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#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)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (* 1/2 (/ (* (cos re) (- (pow (exp (neg im)) 2) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 1))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 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 (neg im) #s(hole binary64 (* -1 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 (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re))))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))))))))))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 2))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (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)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (* -4 im)))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (* im (- (* -8/3 (pow im 2)) 4))))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (* im (- (* (pow im 2) (- (* -8/15 (pow im 2)) 8/3)) 4))))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -16/315 (pow im 2)) 8/15)) 8/3)) 4))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 1))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (+ 1 (* -2 im))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (+ 1 (* im (- (* 2 im) 2)))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))))
#s(approx (* (exp im) (exp im)) #s(hole binary64 1))
#s(approx (* (exp im) (exp im)) #s(hole binary64 (+ 1 (* 2 im))))
#s(approx (* (exp im) (exp im)) #s(hole binary64 (+ 1 (* im (+ 2 (* 2 im))))))
#s(approx (* (exp im) (exp im)) #s(hole binary64 (+ 1 (* im (+ 2 (* im (+ 2 (* 4/3 im))))))))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (* -2 im)))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1/2 (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 (/ (- (pow (exp (neg im)) 2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (- (pow (exp (neg im)) 2) (pow (exp im) 2))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (pow (exp (neg im)) 2)))
#s(approx (* (exp im) (exp im)) #s(hole binary64 (pow (exp im) 2)))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (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))))
#s(approx (* (* 1/2 (cos re)) (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)))) #s(hole binary64 (* 1/2 (/ (* (cos re) (- (pow (exp (* -1 im)) 2) (pow (exp im) 2))) (- (exp (* -1 im)) (exp im))))))
#s(approx (/ (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im))) #s(hole binary64 (/ (- (pow (exp (* -1 im)) 2) (pow (exp im) 2)) (- (exp (* -1 im)) (exp im)))))
#s(approx (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) #s(hole binary64 (- (pow (exp (* -1 im)) 2) (pow (exp im) 2))))
#s(approx (* (exp (neg im)) (exp (neg im))) #s(hole binary64 (pow (exp (* -1 im)) 2)))
#s(approx (- (exp (neg im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (cosh.f64 im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.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)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1/2 binary64))
(cos.f64 re)
(cos.f64 (neg.f64 re))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (cosh.f64 im) (cosh.f64 im))
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#s(literal 2 binary64)
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im
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(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
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(exp.f64 (*.f64 (log.f64 (exp.f64 im)) #s(literal 2 binary64)))
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#s(approx (cos re) #s(literal 1 binary64))
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#s(approx re re)
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#s(approx (+ 1/2 (* -1/4 (* re re))) #s(literal 1/2 binary64))
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#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 #s(literal 1 binary64) (cosh.f64 im))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))
#s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (cos.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (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 #s(literal 1/2 binary64) (cos.f64 re))) (*.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 (*.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 (*.f64 im im) #s(literal 1/360 binary64) #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 #s(literal 1/2 binary64) (*.f64 im im) #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 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (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 (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (cos.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (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 #s(literal 1/2 binary64) (cos.f64 re))) (*.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 (*.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 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 im)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.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 (exp im) #s(literal 1 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #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 (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (cos.f64 re) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/15 binary64) (cos.f64 re)) (fma.f64 #s(literal 1/60 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1 binary64)))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 8/315 binary64) (cos.f64 re)) (fma.f64 #s(literal 1/2520 binary64) (cos.f64 re) (fma.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 #s(literal 4/15 binary64) (cos.f64 re)) (fma.f64 #s(literal 1/60 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1/120 binary64))))) (*.f64 im im) (-.f64 (*.f64 #s(literal 4/15 binary64) (cos.f64 re)) (fma.f64 #s(literal 1/60 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 im im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #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 (*.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 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (- (exp (* (neg im) 2)) (exp (* 2 im))) (*.f64 #s(literal -4 binary64) im))
#s(approx (- (exp (* (neg im) 2)) (exp (* 2 im))) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -8/3 binary64)) #s(literal 4 binary64)) im))
#s(approx (- (exp (* (neg im) 2)) (exp (* 2 im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -8/15 binary64)) #s(literal 8/3 binary64)) (*.f64 im im)) #s(literal 4 binary64)) im))
#s(approx (- (exp (* (neg im) 2)) (exp (* 2 im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -16/315 binary64)) #s(literal 8/15 binary64)) (*.f64 im im)) #s(literal 8/3 binary64)) (*.f64 im im)) #s(literal 4 binary64)) im))
#s(approx (exp (* (neg im) 2)) #s(literal 1 binary64))
#s(approx (exp (* (neg im) 2)) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)))
#s(approx (exp (* (neg im) 2)) (fma.f64 (-.f64 (+.f64 im im) #s(literal 2 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (* (neg im) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) im #s(literal 2 binary64)) im) #s(literal 2 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (* 2 im)) #s(literal 1 binary64))
#s(approx (exp (* 2 im)) (fma.f64 #s(literal 2 binary64) im #s(literal 1 binary64)))
#s(approx (exp (* 2 im)) (fma.f64 (fma.f64 #s(literal 2 binary64) im #s(literal 2 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (* 2 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) im #s(literal 2 binary64)) im #s(literal 2 binary64)) im #s(literal 1 binary64)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (* 2 (cosh im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (cosh im) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
#s(approx (* 1 (cosh im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
#s(approx (* 2 (cosh 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 (* 2 (cosh im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (- (exp (* (neg im) 2)) (exp (* 2 im))) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))))
#s(approx (exp (* (neg im) 2)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))
#s(approx (exp (* 2 im)) (exp.f64 (+.f64 im im)))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 2 (cosh im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 2 (cosh im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (- (exp (* (neg im) 2)) (exp (* 2 im))) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))))
#s(approx (exp (* (neg im) 2)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

eval22.0ms (0.4%)

Memory
-3.9MiB live, 42.5MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 268 to 960 computations (57.7% saved)

prune14.0ms (0.2%)

Memory
-23.9MiB live, 21.6MiB allocated; 7ms collecting garbage
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2437250
Fresh123
Picked325
Done000
Total24711258
Accuracy
100.0%
Counts
258 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
1.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(approx (exp (* (neg im) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓98.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
▶74.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
▶65.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
71.6%
(*.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)))
▶71.7%
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
48.2%
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
51.8%
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
▶30.6%
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
Compiler

Compiled 279 to 265 computations (5% saved)

series15.0ms (0.2%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Counts
26 → 85
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(cosh.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
Outputs
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp 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 (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp 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 (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp 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 (* 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 im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* 1/48 (* (pow re 2) (exp im))))))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp im))) (* 1/48 (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 (+ (* (* 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)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (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 im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#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)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp 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 (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 (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (exp 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 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 (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (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)) (* 1/2 (cos re))) #s(hole binary64 (cos re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #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) #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)) #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 (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (cosh im) #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 (+ (* 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))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Calls

6 calls:

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

rewrite737.0ms (12%)

Memory
-13.0MiB live, 639.7MiB allocated; 230ms collecting garbage
Counts
111 → 201
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(cosh.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp 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 (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp 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 (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp 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 (* 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 im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* 1/48 (* (pow re 2) (exp im))))))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp im))) (* 1/48 (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 (+ (* (* 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)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (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 im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#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)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp (neg im))) (* (* 1/2 (cos re)) (exp 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 (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 (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* 1/2 (cos re)) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (exp 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 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 (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (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)) (* 1/2 (cos re))) #s(hole binary64 (cos re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #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) #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)) #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 (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (cosh im) #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 (+ (* 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))) (* (* 1/2 (cos re)) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
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(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1/2 binary64))
(cos.f64 re)
(cos.f64 (neg.f64 re))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
re
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(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
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im
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#s(approx (cosh im) #s(literal 1 binary64))
#s(literal 1 binary64)
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(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
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(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
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#s(approx (cos re) #s(literal 1 binary64))
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#s(approx re re)
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#s(approx (+ 1/2 (* -1/4 (* re re))) #s(literal 1/2 binary64))
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#s(approx (* re re) (*.f64 re re))
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#s(approx (cos re) (cos.f64 re))
#s(approx (* 1/2 (* (cos re) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))
#s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (fma.f64 (cos.f64 re) #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) im) (cos.f64 re))) im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (fma.f64 (cos.f64 re) #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) im (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) im)) im (cos.f64 re)))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 im)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.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 (* 1/2 (* (cos re) (exp im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (* 1/2 (* (cos re) (exp im))) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 re) (*.f64 (cos.f64 re) im))))
#s(approx (* 1/2 (* (cos re) (exp im))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) im) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) im (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
#s(approx (* 1/2 (* (cos re) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) im) (cos.f64 re) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))) im (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) im (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
#s(approx (exp im) #s(literal 1 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #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 (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (cos.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (cosh im) #s(literal 1 binary64))
#s(approx (cosh im) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (cos.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (cosh im) #s(literal 1 binary64))
#s(approx (cosh im) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* 2 (cosh im)) #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 (* im im)) #s(literal 2 binary64))
#s(approx (+ 2 (* im im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (cosh im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (cosh im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* 2 (cosh im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (+ 2 (* im im)) (*.f64 im im))
#s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval41.0ms (0.7%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 582 to 647 computations (59.1% saved)

prune17.0ms (0.3%)

Memory
-32.7MiB live, 13.1MiB allocated; 8ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1757182
Fresh134
Picked325
Done022
Total17914193
Accuracy
100.0%
Counts
193 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
1.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(approx (exp (* (neg im) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓98.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
✓74.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
30.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
▶49.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
▶32.6%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
11.0%
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
71.6%
(*.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)))
▶51.8%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
71.7%
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
▶48.2%
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
✓30.6%
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
Compiler

Compiled 344 to 335 computations (2.6% saved)

series12.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
28 → 80
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(exp.f64 im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (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 (* 2 (cosh im)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
Outputs
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (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 (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (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 (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (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 (* 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))) #s(hole binary64 (* 1/2 (exp (neg im)))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp (neg im)))) (* 1/2 (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (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 (* (* 1/2 (cos re)) (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)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (+ (* (* 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 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (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))) #s(hole binary64 (* 1/2 (* (cos re) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#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 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (cos re)))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (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 (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* 1/4 (* im (cos re))))))))
#s(approx (* (* 1/2 (cos re)) (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)) (* 2 (cosh im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (cos re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (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 (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (* 1/2 (* (cos re) (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 im)) (* (* 1/2 (cos re)) (exp (neg im)))) (* 1/2 (cos re)) 1/2 (cos re) re (exp im) im (* (* 1/2 (cos re)) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (* 2 (cosh im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* 2 (cosh im)) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 1 (* (* 2 (cosh im)) (* 1/2 (cos re))))
2.0ms
im
@-inf
((+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) (* 1/2 (cos re)) 1/2 (cos re) re (exp im) im (* (* 1/2 (cos re)) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (* 2 (cosh im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* 2 (cosh im)) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 1 (* (* 2 (cosh im)) (* 1/2 (cos re))))
2.0ms
re
@-inf
((+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) (* 1/2 (cos re)) 1/2 (cos re) re (exp im) im (* (* 1/2 (cos re)) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (* 2 (cosh im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* 2 (cosh im)) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 1 (* (* 2 (cosh im)) (* 1/2 (cos re))))
2.0ms
im
@inf
((+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) (* 1/2 (cos re)) 1/2 (cos re) re (exp im) im (* (* 1/2 (cos re)) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (* 2 (cosh im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* 2 (cosh im)) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 1 (* (* 2 (cosh im)) (* 1/2 (cos re))))
1.0ms
re
@0
((+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) (* 1/2 (cos re)) 1/2 (cos re) re (exp im) im (* (* 1/2 (cos re)) (exp (neg im))) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (* 2 (cosh im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* 2 (cosh im)) (* (* 1/2 (cos re)) (* 2 (cosh im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 1 (* (* 2 (cosh im)) (* 1/2 (cos re))))

rewrite787.0ms (12.9%)

Memory
29.2MiB live, 400.0MiB allocated; 102ms collecting garbage
Counts
108 → 186
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(exp.f64 im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (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 (* 2 (cosh im)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (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 (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (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 (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (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 (* 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))) #s(hole binary64 (* 1/2 (exp (neg im)))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp (neg im)))) (* 1/2 (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (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 (* (* 1/2 (cos re)) (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)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (+ (* (* 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 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (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))) #s(hole binary64 (* 1/2 (* (cos re) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#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 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (cos re)))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (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 (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* 1/4 (* im (cos re))))))))
#s(approx (* (* 1/2 (cos re)) (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)) (* 2 (cosh im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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)) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (cos re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #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 im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (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 (+ (* (* 1/2 (cos re)) (exp im)) (* (* 1/2 (cos re)) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) #s(hole binary64 (* 1/2 (* (cos re) (exp (* -1 im))))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (cosh.f64 im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (exp.f64 (neg.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re))))
(fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1/2 binary64))
(cos.f64 re)
(cos.f64 (neg.f64 re))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
re
(+.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))))
(*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(exp.f64 (neg.f64 im))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(neg.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im im))
(+.f64 (*.f64 im im) #s(literal 2 binary64))
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(fma.f64 im im #s(literal 2 binary64))
(fma.f64 (neg.f64 im) (neg.f64 im) #s(literal 2 binary64))
(fma.f64 (fabs.f64 im) (fabs.f64 im) #s(literal 2 binary64))
(fma.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
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(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
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(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
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(*.f64 (neg.f64 re) (neg.f64 re))
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(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
#s(literal -1/4 binary64)
(neg.f64 #s(literal 1/4 binary64))
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(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
#s(literal -1/2 binary64)
(neg.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
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#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
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#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)))))
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#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
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#s(approx (+ 1/2 (* -1/4 (* re re))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* -1/4 (* re re))) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
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#s(approx (exp im) #s(literal 1 binary64))
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#s(approx im im)
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#s(approx (* 2 (cosh im)) #s(literal 2 binary64))
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#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 (* im im)) #s(literal 2 binary64))
#s(approx (+ 2 (* im im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (cos.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh 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 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im im) (cos.f64 re)))
#s(approx (exp im) (exp.f64 im))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (* 2 (cosh im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (+ 2 (* im im)) (*.f64 im im))
#s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* (* 1/2 (cos re)) (exp (neg im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval441.0ms (7.2%)

Memory
-13.3MiB live, 30.0MiB allocated; 11ms collecting garbage
Compiler

Compiled 1 632 to 703 computations (56.9% saved)

prune14.0ms (0.2%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New1766182
Fresh055
Picked145
Done044
Total17719196
Accuracy
100.0%
Counts
196 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
1.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(approx (exp (* (neg im) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓98.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
✓74.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
30.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
10.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
✓32.6%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
32.6%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
11.0%
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
6.2%
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
71.6%
(*.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)))
✓51.8%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
37.5%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
24.5%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
71.7%
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
✓48.2%
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
36.6%
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
✓30.6%
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
Compiler

Compiled 512 to 411 computations (19.7% saved)

regimes114.0ms (1.9%)

Memory
-58.5MiB live, 62.6MiB allocated; 60ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh 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 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(approx (exp (* (neg im) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
Calls

6 calls:

66.0ms
im
13.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
11.0ms
(cos.f64 re)
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
re
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)

regimes84.0ms (1.4%)

Memory
9.5MiB live, 55.7MiB allocated; 5ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh 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 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(approx (exp (* (neg im) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
Calls

6 calls:

25.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
25.0ms
im
11.0ms
(cos.f64 re)
8.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
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)

regimes38.0ms (0.6%)

Memory
-6.0MiB live, 40.5MiB allocated; 2ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh 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:

8.0ms
(cos.f64 re)
6.0ms
re
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
im
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
98.9%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
98.9%1(cos.f64 re)
98.9%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
98.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
98.9%1re
98.9%1im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes56.0ms (0.9%)

Memory
-4.8MiB live, 47.0MiB allocated; 13ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Calls

6 calls:

27.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
6.0ms
re
6.0ms
im
5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
89.3%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
89.6%2(cos.f64 re)
89.6%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)))
89.5%2re
94.4%3im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes7.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cos.f64 re))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
98.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes50.0ms (0.8%)

Memory
34.1MiB live, 34.1MiB allocated; 0ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Calls

6 calls:

22.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
im
5.0ms
re
5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
71.7%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
71.7%1re
81.8%2(cos.f64 re)
81.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
71.7%1im
81.8%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)

regimes25.0ms (0.4%)

Memory
-23.7MiB live, 23.7MiB allocated; 2ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Calls

3 calls:

7.0ms
(cos.f64 re)
7.0ms
(*.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
81.8%2(cos.f64 re)
81.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
81.8%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)

regimes23.0ms (0.4%)

Memory
-21.3MiB live, 25.7MiB allocated; 1ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Calls

3 calls:

7.0ms
(cos.f64 re)
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
80.7%2(cos.f64 re)
80.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
80.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes12.0ms (0.2%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (*.f64 im im)))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ 1 (* -1/2 (* re re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Calls

3 calls:

5.0ms
(*.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
80.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
80.7%2(cos.f64 re)
80.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes9.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (*.f64 #s(literal 1 binary64) (cosh.f64 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)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Calls

3 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(cos.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
76.6%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.6%2(cos.f64 re)
76.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes26.0ms (0.4%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (cos re))) (cosh.f64 im))
Calls

3 calls:

19.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
76.6%2(cos.f64 re)
76.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
76.6%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)

regimes14.0ms (0.2%)

Memory
-33.8MiB live, 13.2MiB allocated; 2ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ 1/2 (* -1/4 (* re re))) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
Calls

6 calls:

4.0ms
(cos.f64 re)
2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
51.8%1re
51.8%1im
51.8%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
56.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
56.7%2(cos.f64 re)
56.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes8.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
Calls

4 calls:

2.0ms
re
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
51.8%1re
51.8%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
51.8%1(cos.f64 re)
51.8%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes9.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) #s(approx (+ 2 (* im im)) (*.f64 im im))))
Calls

6 calls:

2.0ms
re
2.0ms
im
2.0ms
(*.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
51.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
37.6%2(cos.f64 re)
37.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
51.8%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
51.8%2im
39.6%3re
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes10.0ms (0.2%)

Memory
-35.7MiB live, 14.3MiB allocated; 3ms 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)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
Outputs
#s(approx (* (* 1/2 (cos re)) (* 2 (cosh im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
Calls

6 calls:

1.0ms
im
1.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(*.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
30.6%1(cos.f64 re)
30.6%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
30.6%1re
30.6%1im
30.6%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
30.6%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9995808683165069
1.0
0.0ms
-inf
-4.590645447174061e+39
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9995808683165069
1.0
0.0ms
-inf
-4.590645447174061e+39
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.019182116107382605
0.1335517793004728
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.019182116107382605
0.1335517793004728
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.009591058053691303
0.010422950729697143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.009591058053691303
0.010422950729697143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.009591058053691303
0.010422950729697143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.009591058053691303
0.010422950729697143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.009591058053691303
0.010422950729697143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
7.082079913800547e+107
Compiler

Compiled 13 to 15 computations (-15.4% saved)

derivations4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 158 to 98 computations (38% saved)

preprocess199.0ms (3.3%)

Memory
40.3MiB live, 272.7MiB allocated; 38ms collecting garbage
Remove

(abs im)

(abs re)

Compiler

Compiled 1 896 to 1 640 computations (13.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...