math.cos on complex, real part

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.2s (30.5%)

Memory
68.1MiB live, 1 613.0MiB allocated; 338ms collecting garbage
Samples
942.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 633.0ms
ival-cos: 296.0ms (46.8% of total)
ival-exp: 177.0ms (28% of total)
ival-mult!: 77.0ms (12.2% of total)
ival-neg: 63.0ms (10% of total)
ival-add!: 19.0ms (3% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess54.0ms (1.4%)

Memory
20.0MiB live, 62.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02668
113054
249832
3304132
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)

series29.0ms (0.7%)

Memory
-42.2MiB live, 16.8MiB allocated; 9ms collecting garbage
Counts
10 → 37
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx im #s(hole binary64 im))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Calls

6 calls:

TimeVariablePointExpression
22.0ms
re
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@0
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
re
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))

rewrite447.0ms (11.3%)

Memory
36.1MiB live, 273.6MiB allocated; 84ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165658
0175591
11125590
08182550
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
47 → 128
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx im #s(hole binary64 im))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))) (-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)))
(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (fabs.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
re
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))
(*.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))))
(*.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (-.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im)))))
(/.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im))))))
(neg.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 im))) (exp.f64 im)))
(neg.f64 (-.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (neg.f64 (neg.f64 (exp.f64 im))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (neg.f64 (exp.f64 im))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(-.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))) (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))))
(+.f64 (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (neg.f64 (exp.f64 im))))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (exp.f64 im))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 (exp.f64 (+.f64 im (neg.f64 im))) (exp.f64 im))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 im))))
(sqrt.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))
(-.f64 (cosh.f64 im) (neg.f64 (sinh.f64 (neg.f64 im))))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 im))))
(fabs.f64 (exp.f64 (neg.f64 im)))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(neg.f64 im)
im
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 (exp.f64 (+.f64 im (neg.f64 im))) (exp.f64 (neg.f64 im)))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(fabs.f64 (neg.f64 (exp.f64 im)))
(fabs.f64 (exp.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 re re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (neg im) (neg.f64 im))
#s(approx im im)
#s(approx (exp im) (-.f64 im #s(literal -1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval19.0ms (0.5%)

Memory
-15.5MiB live, 29.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 216 to 482 computations (60.4% saved)

prune6.0ms (0.1%)

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1106116
Fresh000
Picked101
Done000
Total1116117
Accuracy
100.0%
Counts
117 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
77.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶53.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶56.0%
(*.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)))
▶58.0%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶58.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Compiler

Compiled 160 to 156 computations (2.5% saved)

series22.0ms (0.5%)

Memory
2.2MiB live, 47.6MiB allocated; 6ms collecting garbage
Counts
26 → 62
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (neg.f64 im)) (exp.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 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
Outputs
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* (cos re) 1/2) (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 (* (* (cos re) 1/2) (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)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* -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 (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (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 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 im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
re
@0
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (neg im) im (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
3.0ms
im
@inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (neg im) im (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
3.0ms
im
@-inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (neg im) im (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
3.0ms
re
@inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (neg im) im (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
2.0ms
re
@-inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (neg im) im (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (* 2 (cosh im)) 2 (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite240.0ms (6.1%)

Memory
-3.0MiB live, 468.2MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161472
03491259
122741259
0103341190
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
88 → 317
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (neg.f64 im)) (exp.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 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* (cos re) 1/2) (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 (* (* (cos re) 1/2) (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)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* -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 (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (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 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 im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
(*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (cos.f64 re)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (neg.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))
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(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
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(-.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re)))
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(+.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
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(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
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(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(fabs.f64 (neg.f64 (*.f64 re re)))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))
#s(literal -1/4 binary64)
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(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
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#s(approx (cos re) #s(literal 1 binary64))
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#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
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#s(approx re re)
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#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (*.f64 (*.f64 re re) (exp.f64 im)) #s(literal -1/4 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
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#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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#s(approx (* re re) (*.f64 re re))
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#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
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#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))
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#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 im)))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (neg im) (neg.f64 im))
#s(approx im im)
#s(approx (* (* (cos re) 1/2) (exp im)) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 re) (*.f64 (cos.f64 re) im))))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (cos.f64 re) im) #s(literal 1/4 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) im)))
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#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
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#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
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#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 2 (cosh im)) 1/2) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval61.0ms (1.6%)

Memory
18.3MiB live, 100.1MiB allocated; 30ms collecting garbage
Compiler

Compiled 4 039 to 1 267 computations (68.6% saved)

prune111.0ms (2.8%)

Memory
-78.1MiB live, 21.0MiB allocated; 105ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3436349
Fresh011
Picked325
Done000
Total3469355
Accuracy
100.0%
Counts
355 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
77.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓53.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶29.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶25.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
56.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
✓58.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
▶42.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶50.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Compiler

Compiled 264 to 250 computations (5.3% saved)

series18.0ms (0.4%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
34 → 78
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))
(fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64))
im
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(exp.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #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)
(*.f64 re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 im im)
#s(literal 1/24 binary64)
Outputs
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* (cos re) 1/2) (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 (* (* (cos re) 1/2) (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)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* -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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* -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 (+ (* im 1/2) -1) #s(hole binary64 -1))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (- (* 1/2 im) 1)))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (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 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 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)) (exp im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (+ (exp (neg im)) (exp im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (+ (exp (neg im)) (exp im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (- 1/2 (/ 1 im)))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (- (+ 1/2 (/ 1 (pow im 2))) (/ 1 im)))))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* 1/2 im)))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* im (- 1/2 (/ 1 im)))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 im)) im))))))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* -1 (* im (- (/ 1 im) 1/2)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (* (+ (exp (neg im)) (exp im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (exp (* -1 im))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
im
@inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24)
3.0ms
re
@0
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24)
3.0ms
im
@-inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24)
2.0ms
re
@inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24)
2.0ms
re
@-inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24)

rewrite210.0ms (5.3%)

Memory
14.1MiB live, 249.1MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03761876
04031616
126421616
093091549
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
112 → 346
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))
(fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64))
im
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(exp.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #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)
(*.f64 re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 im im)
#s(literal 1/24 binary64)
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* (cos re) 1/2) (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 (* (* (cos re) 1/2) (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)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* -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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* -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 (+ (* im 1/2) -1) #s(hole binary64 -1))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (- (* 1/2 im) 1)))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (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 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 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)) (exp im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (+ (exp (neg im)) (exp im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (+ (exp (neg im)) (exp im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (- 1/2 (/ 1 im)))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (- (+ 1/2 (/ 1 (pow im 2))) (/ 1 im)))))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* 1/2 im)))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* im (- 1/2 (/ 1 im)))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 im)) im))))))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* -1 (* im (- (/ 1 im) 1/2)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (* (+ (exp (neg im)) (exp im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (exp (* -1 im))))))
Outputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (exp.f64 im)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))))
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#s(literal 1/24 binary64)
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#s(approx im im)
#s(approx (* (* (cos re) 1/2) (exp im)) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 re) (*.f64 (cos.f64 re) im))))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (cos.f64 re) im) #s(literal 1/4 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (cos.f64 re) im) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) 1/24) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 im im)))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) im)) (*.f64 im im)))
#s(approx (+ (* im 1/2) -1) (*.f64 im #s(literal 1/2 binary64)))
#s(approx (+ (* im 1/2) -1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* 2 (cosh im)) 1/2) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))))
#s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (*.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) (*.f64 (*.f64 im im) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/2 binary64))))
#s(approx (+ (* im 1/2) -1) (*.f64 (neg.f64 im) (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval39.0ms (1%)

Memory
13.9MiB live, 106.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 041 to 1 594 computations (60.6% saved)

prune19.0ms (0.5%)

Memory
-14.6MiB live, 35.5MiB allocated; 10ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New29910309
Fresh022
Picked235
Done022
Total30117318
Accuracy
100.0%
Counts
318 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.7%
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
77.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓53.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓29.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶31.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
0.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
29.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
8.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓25.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
56.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
✓58.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
✓42.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
31.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
▶50.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
50.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
▶50.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
▶28.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
Compiler

Compiled 599 to 573 computations (4.3% saved)

series21.0ms (0.5%)

Memory
-3.0MiB live, 42.3MiB allocated; 5ms collecting garbage
Counts
42 → 83
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))
(fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64))
im
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))
(fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64))
(*.f64 (*.f64 im im) (*.f64 im im))
(*.f64 im im)
#s(literal 1/24 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))
#s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(*.f64 (*.f64 re re) (*.f64 re re))
(*.f64 re re)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* (cos re) 1/2) (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 (* (* (cos re) 1/2) (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)) (+ (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 (sqrt (* (* re re) (* re re))) #s(hole binary64 (pow re 2)))
#s(approx (* (* re re) (* re re)) #s(hole binary64 (pow re 4)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* -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 (+ (* im 1/2) -1) #s(hole binary64 -1))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (- (* 1/2 im) 1)))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (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 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 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* (* im im) 1/24) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* im 1/24) #s(hole binary64 (* 1/24 im)))
#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 (exp (neg im))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (- 1/2 (/ 1 im)))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (- (+ 1/2 (/ 1 (pow im 2))) (/ 1 im)))))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* 1/2 im)))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* im (- 1/2 (/ 1 im)))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (+ (* (+ (* im 1/2) 1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 im)))))
#s(approx (+ (* (+ (* im 1/2) 1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (/ 1 im) (/ 1 (pow im 2)))))))
#s(approx (+ (* im 1/2) 1) #s(hole binary64 (* im (+ 1/2 (/ 1 im)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 im)) im))))))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* -1 (* im (- (/ 1 im) 1/2)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
im
@0
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (+ (* (+ (* im 1/2) 1) im) 1) (+ (* im 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) -1/2 (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (+ (exp (neg im)) (exp im)) 2)
4.0ms
im
@-inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (+ (* (+ (* im 1/2) 1) im) 1) (+ (* im 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) -1/2 (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (+ (exp (neg im)) (exp im)) 2)
4.0ms
im
@inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (+ (* (+ (* im 1/2) 1) im) 1) (+ (* im 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) -1/2 (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (+ (exp (neg im)) (exp im)) 2)
2.0ms
re
@inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (+ (* (+ (* im 1/2) 1) im) 1) (+ (* im 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) -1/2 (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (+ (exp (neg im)) (exp im)) 2)
2.0ms
re
@-inf
((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (* (cos re) 1/2) (cos re) re 1/2 (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (* (* (cos re) 1/2) (exp im)) (exp im) (+ (* (+ (* im 1/2) 1) im) 1) (+ (* im 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) 1/2) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) -1/2 (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (+ (exp (neg im)) (exp im)) 2)

rewrite213.0ms (5.4%)

Memory
15.9MiB live, 279.8MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04002147
04391807
128011805
097491739
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
125 → 442
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))
(fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64))
im
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))
(fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64))
(*.f64 (*.f64 im im) (*.f64 im im))
(*.f64 im im)
#s(literal 1/24 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))
#s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(*.f64 (*.f64 re re) (*.f64 re re))
(*.f64 re re)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* (cos re) 1/2) (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 (* (* (cos re) 1/2) (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)) (+ (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 (sqrt (* (* re re) (* re re))) #s(hole binary64 (pow re 2)))
#s(approx (* (* re re) (* re re)) #s(hole binary64 (pow re 4)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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 (* -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 (+ (* im 1/2) -1) #s(hole binary64 -1))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (- (* 1/2 im) 1)))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (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 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 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* (* im im) 1/24) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* im 1/24) #s(hole binary64 (* 1/24 im)))
#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 (exp (neg im))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (- 1/2 (/ 1 im)))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (- (+ 1/2 (/ 1 (pow im 2))) (/ 1 im)))))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* 1/2 im)))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* im (- 1/2 (/ 1 im)))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (+ (* (+ (* im 1/2) 1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 im)))))
#s(approx (+ (* (+ (* im 1/2) 1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (/ 1 im) (/ 1 (pow im 2)))))))
#s(approx (+ (* im 1/2) 1) #s(hole binary64 (* im (+ 1/2 (/ 1 im)))))
#s(approx (* (* 2 (cosh im)) 1/2) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (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))))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 im)) im))))))
#s(approx (+ (* im 1/2) -1) #s(hole binary64 (* -1 (* im (- (/ 1 im) 1/2)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))))
(fma.f64 #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))))
(fma.f64 #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))))
(-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 (neg.f64 (*.f64 re re))) (sqrt.f64 (neg.f64 (*.f64 re re))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re))
(*.f64 (sqrt.f64 re) (sqrt.f64 (*.f64 (*.f64 re re) re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (pow.f64 (neg.f64 (*.f64 re re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 re re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 re re) re) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 re re) re) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 re re) re) re) #s(literal 1/2 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 re re) re) re))
(fabs.f64 (neg.f64 (*.f64 re re)))
(fabs.f64 (*.f64 re re))
(exp.f64 (/.f64 (*.f64 (log.f64 re) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 re re) re) re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (*.f64 re re))) (neg.f64 (neg.f64 (*.f64 re re))))
(*.f64 (*.f64 (*.f64 re re) re) re)
(*.f64 (neg.f64 (*.f64 re re)) (neg.f64 (*.f64 re re)))
(*.f64 (*.f64 re re) (*.f64 re re))
(*.f64 re (*.f64 (*.f64 re re) re))
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) (*.f64 (*.f64 (*.f64 re re) re) re)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (neg.f64 re) re) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 re re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 4 binary64))
(pow.f64 (*.f64 re re) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 re re) re) re) #s(literal 1 binary64))
(pow.f64 re #s(literal 4 binary64))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) (*.f64 (*.f64 (*.f64 re re) re) re)))
(fabs.f64 (*.f64 (*.f64 (*.f64 re re) re) re))
(exp.f64 (fma.f64 (log.f64 re) #s(literal 2 binary64) (*.f64 (log.f64 re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 re re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 re) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 re) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 re re))) (sqrt.f64 (neg.f64 (*.f64 re re))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re))
(*.f64 (sqrt.f64 re) (sqrt.f64 (*.f64 (*.f64 re re) re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (pow.f64 (neg.f64 (*.f64 re re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 re re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 re re) re) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 re re) re) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 re re) re) re) #s(literal 1/2 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 re re) re) re))
(fabs.f64 (neg.f64 (*.f64 re re)))
(fabs.f64 (*.f64 re re))
(exp.f64 (/.f64 (*.f64 (log.f64 re) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 re re) re) re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 re re))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/48 binary64)) (*.f64 re re))) (*.f64 re re))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (*.f64 re re))) (*.f64 re re))) (*.f64 re re))))
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos re) 1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* (cos re) 1/2) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* (cos re) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* (cos re) 1/2) (exp im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (*.f64 (*.f64 re re) (exp.f64 im)) #s(literal -1/4 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (fma.f64 (*.f64 (*.f64 re re) (exp.f64 im)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/4 binary64) (exp.f64 im))) (*.f64 re re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 re re) (exp.f64 im)) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) (exp.f64 im))) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (exp.f64 im))) (*.f64 re re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (*.f64 (*.f64 re re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/48 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/1440 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/48 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt (* (* re re) (* re re))) (*.f64 re re))
#s(approx (* (* re re) (* re re)) (*.f64 (*.f64 (*.f64 re re) re) re))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (cos re) 1/2) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (sqrt (* (* re re) (* re re)))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) im (cos.f64 re)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 im (fma.f64 (cos.f64 re) #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 re) im) #s(literal 1/2 binary64))) (cos.f64 re)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 im (fma.f64 (cos.f64 re) #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) im (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) im)) (cos.f64 re)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 im)))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (+ (* im 1/2) -1) #s(literal -1 binary64))
#s(approx (+ (* im 1/2) -1) (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)))
#s(approx im im)
#s(approx (* (* (cos re) 1/2) (exp im)) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 re) (*.f64 (cos.f64 re) im))))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (cos.f64 re) im) #s(literal 1/4 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (cos.f64 re) im) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (+ (* im 1/2) 1) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* (* (* im im) (* im im)) 1/24) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))
#s(approx (* (* im im) (* im im)) (*.f64 (*.f64 (*.f64 im im) im) im))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (* im im) 1/24) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (* im im) 1/24) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* im 1/24) (*.f64 #s(literal 1/24 binary64) im))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 im im)))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) im)) (*.f64 im im)))
#s(approx (+ (* im 1/2) -1) (*.f64 im #s(literal 1/2 binary64)))
#s(approx (+ (* im 1/2) -1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ (* (+ (* im 1/2) 1) im) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) im))
#s(approx (+ (* (+ (* im 1/2) 1) im) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* im 1/2) 1) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) 1/2) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 im im) im) im)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 im im) im) im)))
#s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (*.f64 im im)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (* (+ (* im 1/2) -1) im) 1) (*.f64 (*.f64 im im) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/2 binary64))))
#s(approx (+ (* im 1/2) -1) (*.f64 (neg.f64 im) (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval126.0ms (3.2%)

Memory
21.5MiB live, 123.8MiB allocated; 100ms collecting garbage
Compiler

Compiled 5 797 to 2 303 computations (60.3% saved)

prune43.0ms (1.1%)

Memory
7.2MiB live, 52.0MiB allocated; 8ms collecting garbage
Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New4259434
Fresh167
Picked145
Done055
Total42724451
Accuracy
100.0%
Counts
451 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.7%
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
77.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓53.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
29.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
31.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
30.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓29.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
31.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓31.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
0.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
29.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
8.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓25.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
56.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
28.4%
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
✓58.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
✓42.8%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
31.5%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
✓50.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
50.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
50.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
34.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 im im) im) im)))))
✓28.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
28.4%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
Compiler

Compiled 809 to 692 computations (14.5% saved)

regimes71.0ms (1.8%)

Memory
-35.4MiB live, 104.0MiB allocated; 27ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 im im) im) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
Outputs
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
Calls

6 calls:

17.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
16.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
8.0ms
re
8.0ms
im
8.0ms
(*.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)

regimes51.0ms (1.3%)

Memory
18.8MiB live, 109.3MiB allocated; 9ms collecting garbage
Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 im im) im) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

11.0ms
(cos.f64 re)
10.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms
re
8.0ms
im
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)

regimes55.0ms (1.4%)

Memory
20.2MiB live, 113.6MiB allocated; 18ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 im im) im) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

6 calls:

18.0ms
re
10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
im
7.0ms
(cos.f64 re)
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
86.3%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
87.7%2(cos.f64 re)
87.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
87.7%2re
94.6%3im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes9.0ms (0.2%)

Memory
-21.9MiB live, 23.3MiB allocated; 4ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 im im) im) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp 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 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

1 calls:

8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.8%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes65.0ms (1.6%)

Memory
1.1MiB live, 139.5MiB allocated; 23ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 im im) im) im)))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

6 calls:

21.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
12.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms
re
8.0ms
(cos.f64 re)
8.0ms
im
Results
AccuracySegmentsBranch
58.0%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
72.2%2(cos.f64 re)
72.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
60.7%2re
58.0%1im
72.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes15.0ms (0.4%)

Memory
35.3MiB live, 35.3MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 re re) re)) (sqrt.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

3 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
67.6%2(cos.f64 re)
67.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
67.6%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)

regimes15.0ms (0.4%)

Memory
-16.3MiB live, 30.9MiB allocated; 2ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
Calls

3 calls:

5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
65.5%2(cos.f64 re)
65.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
65.5%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)

regimes24.0ms (0.6%)

Memory
4.1MiB live, 50.7MiB allocated; 2ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
Calls

6 calls:

5.0ms
(cos.f64 re)
4.0ms
re
4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
im
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
54.0%3im
50.7%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
50.7%1re
58.1%2(cos.f64 re)
58.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
58.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes28.0ms (0.7%)

Memory
-44.1MiB live, 23.1MiB allocated; 31ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 (*.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
Calls

3 calls:

21.0ms
(cos.f64 re)
3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
58.1%2(cos.f64 re)
58.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
58.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes7.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
Calls

3 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
50.3%2(cos.f64 re)
50.3%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
58.1%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes7.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (cos re) 1/2) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) #s(literal 1/24 binary64)))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) 1/2) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
Calls

4 calls:

2.0ms
re
2.0ms
im
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
42.8%1re
50.7%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
50.7%2im
50.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes8.0ms (0.2%)

Memory
-31.5MiB live, 16.1MiB allocated; 3ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Calls

5 calls:

3.0ms
im
1.0ms
(cos.f64 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
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
42.8%1(cos.f64 re)
42.8%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
42.8%1im
42.8%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
42.8%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes6.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
im
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
25.2%1im
25.2%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
25.2%1re
25.2%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
25.2%1(cos.f64 re)
25.2%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.999999999999999
1.0
0.0ms
-inf
-0.9999955448811666
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.999999999999999
1.0
0.0ms
-inf
-0.9999955448811666
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06572197579450333
0.010293392504687119
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06572197579450333
0.010293392504687119
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06572197579450333
0.010293392504687119
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06572197579450333
0.010293392504687119
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
-0.06572197579450333
0.010293392504687119
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
+inf
0.0ms
-0.06572197579450333
0.010293392504687119
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

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

Compiled 13 to 15 computations (-15.4% saved)

derivations492.0ms (12.5%)

Memory
-11.1MiB live, 455.8MiB allocated; 47ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 163 to 110 computations (32.5% saved)

preprocess204.0ms (5.2%)

Memory
11.7MiB live, 352.6MiB allocated; 41ms collecting garbage
Remove

(abs im)

(abs re)

Compiler

Compiled 2 203 to 1 902 computations (13.7% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...