math.sin on complex, real part

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.2s (32.8%)

Memory
39.5MiB live, 1 721.9MiB allocated; 385ms collecting garbage
Samples
924.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 592.0ms
ival-sin: 298.0ms (50.4% of total)
ival-exp: 144.0ms (24.3% of total)
ival-mult!: 110.0ms (18.6% of total)
ival-sub!: 20.0ms (3.4% of total)
ival-add!: 18.0ms (3% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess49.0ms (1.4%)

Memory
-1.4MiB live, 43.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03068
111554
247732
3241032
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Symmetry

(abs im)

(negabs re)

Compiler

Compiled 22 to 22 computations (0% saved)

series9.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Counts
11 → 37
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (- 0 im)) #s(hole binary64 1))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (- 0 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 (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
re
@inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (+ (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))
1.0ms
im
@0
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (+ (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))
1.0ms
im
@-inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (+ (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))
1.0ms
im
@inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (+ (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))
1.0ms
re
@-inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (+ (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))

rewrite170.0ms (4.7%)

Memory
4.3MiB live, 240.0MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179709
0190616
11128593
08774557
Stop Event
iter-limit
node-limit
iter-limit
Counts
48 → 132
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (- 0 im)) #s(hole binary64 1))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (- 0 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 (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))
Outputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))) (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))))
(-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (exp.f64 im)))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (-.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 2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(+.f64 (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) (*.f64 im im))) (fma.f64 im im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) im)) im)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 im) im)) (*.f64 #s(literal 2 binary64) im))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 im) (*.f64 im im))) (*.f64 #s(literal 2 binary64) (fma.f64 im im #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 im) (*.f64 im im))) (neg.f64 (fma.f64 im im #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (*.f64 (neg.f64 im) (*.f64 im im)) (fma.f64 im im #s(literal 0 binary64)))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im im) im))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 im im #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 im im) im) (fma.f64 im im #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 re re) (*.f64 #s(literal -1/12 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))) re))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (sin re) re)
#s(approx (sin re) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 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 (- 0 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 (- 0 im)) #s(literal 1 binary64))
#s(approx (exp (- 0 im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (exp (- 0 im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (- 0 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 (- 0 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 (- 0 im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))

eval15.0ms (0.4%)

Memory
-13.2MiB live, 31.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 276 to 496 computations (61.1% saved)

prune5.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1156121
Fresh000
Picked101
Done000
Total1166122
Accuracy
100.0%
Counts
122 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
100.0%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
73.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
49.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
62.5%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
63.5%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
Compiler

Compiled 192 to 190 computations (1% saved)

series32.0ms (0.9%)

Memory
20.4MiB live, 66.3MiB allocated; 5ms collecting garbage
Counts
24 → 76
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(sin.f64 re)
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
Outputs
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* -1/6 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* (pow re 2) (+ (* -1/6 (+ (exp im) (/ 1 (exp im)))) (* 1/120 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* (pow re 2) (+ (* -1/6 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/120 (+ (exp im) (/ 1 (exp im)))))))) (/ 1 (exp im)))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* (sin re) (+ (exp im) (/ 1 (exp im))))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* 2 (sin re))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (sin re)))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (+ (sin re) (* 1/12 (* (pow im 2) (sin re))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (+ (sin re) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (sin re))) (* 1/12 (sin re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/24 (* (pow im 2) re)) (* 1/2 re))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/2 re) (* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (* 2 re)))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) re))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* 1/12 (* (pow im 2) re)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* (pow im 2) (+ (* 1/360 (* (pow im 2) re)) (* 1/12 re))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
re
@-inf
((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))
5.0ms
re
@0
((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))
5.0ms
im
@0
((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))
5.0ms
im
@inf
((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))
5.0ms
im
@-inf
((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))

rewrite346.0ms (9.6%)

Memory
-19.3MiB live, 375.7MiB allocated; 86ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03742130
04041883
124761883
0105211815
Stop Event
iter-limit
node-limit
iter-limit
Counts
100 → 290
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(sin.f64 re)
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* -1/6 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* (pow re 2) (+ (* -1/6 (+ (exp im) (/ 1 (exp im)))) (* 1/120 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* (pow re 2) (+ (* -1/6 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/120 (+ (exp im) (/ 1 (exp im)))))))) (/ 1 (exp im)))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* (sin re) (+ (exp im) (/ 1 (exp im))))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* 2 (sin re))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (sin re)))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (+ (sin re) (* 1/12 (* (pow im 2) (sin re))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (+ (sin re) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (sin re))) (* 1/12 (sin re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/24 (* (pow im 2) re)) (* 1/2 re))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/2 re) (* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (* 2 re)))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) re))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* 1/12 (* (pow im 2) re)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* (pow im 2) (+ (* 1/360 (* (pow im 2) re)) (* 1/12 re))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (sin.f64 re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (sin.f64 re) (exp.f64 im)) (-.f64 (*.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (exp.f64 im) (sin.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))) (*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))))))
(fma.f64 (exp.f64 im) (sin.f64 re) (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)))
(sin.f64 re)
re
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (+.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im))))))
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (cosh.f64 im))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (/.f64 (exp.f64 (*.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im))))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
#s(literal 2 binary64)
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 0 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
im
#s(literal 1/2 binary64)
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re)
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) re))
(*.f64 re (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 re (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 re (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 re (exp.f64 im)) (*.f64 re (exp.f64 im)) (-.f64 (*.f64 (*.f64 re (exp.f64 (neg.f64 im))) (*.f64 re (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 re (exp.f64 im)) (*.f64 re (exp.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) re) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) re) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 im) re) (*.f64 (exp.f64 im) re) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) re) (*.f64 (exp.f64 (neg.f64 im)) re)) (*.f64 (*.f64 (exp.f64 im) re) (*.f64 (exp.f64 (neg.f64 im)) re)))))
(fma.f64 (exp.f64 im) re (*.f64 (exp.f64 (neg.f64 im)) re))
(fma.f64 re (exp.f64 im) (*.f64 re (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 re (exp.f64 im)) (*.f64 re (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (exp.f64 im) re) (*.f64 (exp.f64 (neg.f64 im)) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re)
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 re (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 re (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 re (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 re (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 re (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re)))))
(fma.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re))
(fma.f64 re (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (*.f64 re (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
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(/.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) #s(literal 8 binary64)) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (*.f64 im im)))))
(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 im) (fabs.f64 im) #s(literal 2 binary64))
(fma.f64 (neg.f64 im) (neg.f64 im) #s(literal 2 binary64))
(fma.f64 im im #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 (*.f64 im im) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 im im) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 im im))) (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 2 binary64) (*.f64 im im))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (*.f64 im im))))) (/.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (*.f64 im im))))))
(+.f64 (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im im))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/240 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (exp.f64 im)) re))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re) (exp.f64 (neg.f64 im))) (exp.f64 im)) re))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re) (*.f64 #s(literal -1/6 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re) (exp.f64 (neg.f64 im))) (exp.f64 im)) re))
#s(approx (sin re) re)
#s(approx (sin re) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/240 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* re re) -1/12) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 (*.f64 re re) re)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re)))
#s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))
#s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))
#s(approx (* 1/2 (sin re)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 (*.f64 re re) re))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re) (sin.f64 re)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (sin.f64 re)) #s(literal 1/24 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (fma.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 re) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (sin.f64 re))) (*.f64 im im))) (*.f64 im im) (sin.f64 re)))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (sin.f64 re) #s(literal 2 binary64)))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (sin.f64 re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (sin re) (* 2 (cosh im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/12 binary64)) (sin.f64 re) (sin.f64 re)) (*.f64 im im) (*.f64 (sin.f64 re) #s(literal 2 binary64))))
#s(approx (* (sin re) (* 2 (cosh im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (sin.f64 re)) #s(literal 1/360 binary64) (*.f64 (sin.f64 re) #s(literal 1/12 binary64))) (*.f64 im im) (sin.f64 re)) (*.f64 im im) (*.f64 (sin.f64 re) #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 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 (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (cosh im) #s(literal 1 binary64))
#s(approx (cosh im) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re))
#s(approx (* (* 2 (cosh im)) re) (+.f64 re re))
#s(approx (* (* 2 (cosh im)) re) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) re) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64) re) (*.f64 im im) (+.f64 re re)))
#s(approx (* (* 2 (cosh im)) re) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) re)) (*.f64 im im) re) (*.f64 im im) (+.f64 re re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 im im) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 im im) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (fma.f64 (+.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (*.f64 im im) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval59.0ms (1.6%)

Memory
3.4MiB live, 107.0MiB allocated; 11ms collecting garbage
Compiler

Compiled 5 118 to 1 587 computations (69% saved)

prune19.0ms (0.5%)

Memory
-7.3MiB live, 39.6MiB allocated; 2ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New35612368
Fresh101
Picked325
Done000
Total36014374
Accuracy
100.0%
Counts
374 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
100.0%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
73.7%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
49.1%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
34.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
35.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
62.5%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
41.4%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))) re))
63.5%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
49.4%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
25.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
32.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
13.9%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
48.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
Compiler

Compiled 559 to 549 computations (1.8% saved)

series31.0ms (0.9%)

Memory
-10.4MiB live, 81.4MiB allocated; 7ms collecting garbage
Counts
37 → 117
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(sin.f64 re)
re
(exp.f64 im)
im
(*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64))
#s(approx (* (* 2 (cosh im)) re) (+.f64 re re))
(+.f64 re re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
#s(literal 1/240 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(cosh.f64 im)
(fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(*.f64 re #s(literal -1/12 binary64))
Outputs
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (* (pow re 2) (+ (* -1/6 (exp im)) (* -1/6 (exp (neg im)))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* 1/120 (exp im)) (* 1/120 (exp (neg im)))))) (* 1/2 (+ (* -1/6 (exp im)) (* -1/6 (exp (neg im)))))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* 1/2 (+ (* -1/6 (exp im)) (* -1/6 (exp (neg im))))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* -1/5040 (exp im)) (* -1/5040 (exp (neg im)))))) (* 1/2 (+ (* 1/120 (exp im)) (* 1/120 (exp (neg im)))))))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* re (+ (exp im) (exp (neg im))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* re (+ (exp im) (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp im)) (* -1/6 (exp (neg im))))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* re (+ (exp im) (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp im)) (+ (* -1/6 (exp (neg im))) (* (pow re 2) (+ (* 1/120 (exp im)) (* 1/120 (exp (neg im)))))))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* re (+ (exp im) (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp im)) (+ (* -1/6 (exp (neg im))) (* (pow re 2) (+ (* 1/120 (exp im)) (+ (* 1/120 (exp (neg im))) (* (pow re 2) (+ (* -1/5040 (exp im)) (* -1/5040 (exp (neg im))))))))))))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* re (exp (neg im)))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* re (+ (exp (neg im)) (* -1/6 (* (pow re 2) (exp (neg im))))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* re (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp (neg im))) (* 1/120 (* (pow re 2) (exp (neg im))))))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* re (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp (neg im))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (exp (neg im)))) (* 1/120 (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (* re (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ re re) #s(hole binary64 (* 2 re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 (- (* 1/240 (pow re 2)) 1/12)))
#s(approx (* 1/240 (* re re)) #s(hole binary64 (* 1/240 (pow re 2))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* re -1/12) #s(hole binary64 (* -1/12 re)))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* 1/2 (+ (* (exp im) (sin re)) (* (exp (neg im)) (sin re))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* (exp im) (sin re)) (* (exp (neg im)) (sin re)))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* (exp (neg im)) (sin re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* 1/240 (pow re 5))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* 1/240 (pow re 4))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 (* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (+ (sin re) (* 1/2 (* im (+ (sin re) (* -1 (sin re))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (+ (sin re) (* im (+ (* 1/2 (* im (sin re))) (* 1/2 (+ (sin re) (* -1 (sin re)))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (+ (sin re) (* im (+ (* 1/2 (+ (sin re) (* -1 (sin re)))) (* im (+ (* 1/2 (sin re)) (* 1/2 (* im (+ (* -1/6 (sin re)) (* 1/6 (sin re))))))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* 2 (sin re))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* 2 (sin re)) (* im (+ (sin re) (* -1 (sin re)))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* 2 (sin re)) (* im (+ (sin re) (+ (* -1 (sin re)) (* im (sin re))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* 2 (sin re)) (* im (+ (sin re) (+ (* -1 (sin re)) (* im (+ (sin re) (* im (+ (* -1/6 (sin re)) (* 1/6 (sin re))))))))))))
#s(approx (exp im) #s(hole binary64 1))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (+ (sin re) (* -1 (* im (sin re))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (+ (sin re) (* im (+ (* -1 (sin re)) (* 1/2 (* im (sin re))))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (+ (sin re) (* im (+ (* -1 (sin re)) (* im (+ (* -1/6 (* im (sin re))) (* 1/2 (sin 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 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/24 (* (pow im 2) re)) (* 1/2 re))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/2 re) (* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) re))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* 1/12 (* (pow im 2) re)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* (pow im 2) (+ (* 1/360 (* (pow im 2) re)) (* 1/12 re))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* 1/2 (+ (* (exp im) (sin re)) (* (exp (* -1 im)) (sin re))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* (exp im) (sin re)) (* (exp (* -1 im)) (sin re)))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* (exp (* -1 im)) (sin re))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
re
@inf
((* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (sin re) re (exp im) im (* (sin re) (exp (neg im))) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) re) (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* re (* re -1/12)) 1/2) (* re -1/12))
6.0ms
im
@inf
((* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (sin re) re (exp im) im (* (sin re) (exp (neg im))) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) re) (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* re (* re -1/12)) 1/2) (* re -1/12))
5.0ms
re
@-inf
((* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (sin re) re (exp im) im (* (sin re) (exp (neg im))) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) re) (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* re (* re -1/12)) 1/2) (* re -1/12))
4.0ms
re
@0
((* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (sin re) re (exp im) im (* (sin re) (exp (neg im))) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) re) (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* re (* re -1/12)) 1/2) (* re -1/12))
4.0ms
im
@-inf
((* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (sin re) re (exp im) im (* (sin re) (exp (neg im))) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) re) (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* re (* re -1/12)) 1/2) (* re -1/12))

rewrite201.0ms (5.6%)

Memory
14.6MiB live, 295.2MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05493251
05922811
135272811
080402713
Stop Event
iter-limit
node-limit
iter-limit
Counts
154 → 399
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(sin.f64 re)
re
(exp.f64 im)
im
(*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64))
#s(approx (* (* 2 (cosh im)) re) (+.f64 re re))
(+.f64 re re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
#s(literal 1/240 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(cosh.f64 im)
(fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(*.f64 re #s(literal -1/12 binary64))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (* (pow re 2) (+ (* -1/6 (exp im)) (* -1/6 (exp (neg im)))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* 1/120 (exp im)) (* 1/120 (exp (neg im)))))) (* 1/2 (+ (* -1/6 (exp im)) (* -1/6 (exp (neg im)))))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* 1/2 (+ (* -1/6 (exp im)) (* -1/6 (exp (neg im))))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* -1/5040 (exp im)) (* -1/5040 (exp (neg im)))))) (* 1/2 (+ (* 1/120 (exp im)) (* 1/120 (exp (neg im)))))))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* re (+ (exp im) (exp (neg im))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* re (+ (exp im) (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp im)) (* -1/6 (exp (neg im))))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* re (+ (exp im) (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp im)) (+ (* -1/6 (exp (neg im))) (* (pow re 2) (+ (* 1/120 (exp im)) (* 1/120 (exp (neg im)))))))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* re (+ (exp im) (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp im)) (+ (* -1/6 (exp (neg im))) (* (pow re 2) (+ (* 1/120 (exp im)) (+ (* 1/120 (exp (neg im))) (* (pow re 2) (+ (* -1/5040 (exp im)) (* -1/5040 (exp (neg im))))))))))))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* re (exp (neg im)))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* re (+ (exp (neg im)) (* -1/6 (* (pow re 2) (exp (neg im))))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* re (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp (neg im))) (* 1/120 (* (pow re 2) (exp (neg im))))))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* re (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp (neg im))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (exp (neg im)))) (* 1/120 (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (* re (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ re re) #s(hole binary64 (* 2 re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 (- (* 1/240 (pow re 2)) 1/12)))
#s(approx (* 1/240 (* re re)) #s(hole binary64 (* 1/240 (pow re 2))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* re -1/12) #s(hole binary64 (* -1/12 re)))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* 1/2 (+ (* (exp im) (sin re)) (* (exp (neg im)) (sin re))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* (exp im) (sin re)) (* (exp (neg im)) (sin re)))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* (exp (neg im)) (sin re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* 1/240 (pow re 5))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* 1/240 (pow re 4))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 (* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (+ (sin re) (* 1/2 (* im (+ (sin re) (* -1 (sin re))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (+ (sin re) (* im (+ (* 1/2 (* im (sin re))) (* 1/2 (+ (sin re) (* -1 (sin re)))))))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (+ (sin re) (* im (+ (* 1/2 (+ (sin re) (* -1 (sin re)))) (* im (+ (* 1/2 (sin re)) (* 1/2 (* im (+ (* -1/6 (sin re)) (* 1/6 (sin re))))))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (* 2 (sin re))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* 2 (sin re)) (* im (+ (sin re) (* -1 (sin re)))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* 2 (sin re)) (* im (+ (sin re) (+ (* -1 (sin re)) (* im (sin re))))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* 2 (sin re)) (* im (+ (sin re) (+ (* -1 (sin re)) (* im (+ (sin re) (* im (+ (* -1/6 (sin re)) (* 1/6 (sin re))))))))))))
#s(approx (exp im) #s(hole binary64 1))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (+ (sin re) (* -1 (* im (sin re))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (+ (sin re) (* im (+ (* -1 (sin re)) (* 1/2 (* im (sin re))))))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (+ (sin re) (* im (+ (* -1 (sin re)) (* im (+ (* -1/6 (* im (sin re))) (* 1/2 (sin 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 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/24 (* (pow im 2) re)) (* 1/2 re))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/2 re) (* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) re))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* 1/12 (* (pow im 2) re)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* (pow im 2) (+ (* 1/360 (* (pow im 2) re)) (* 1/12 re))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(hole binary64 (* 1/2 (+ (* (exp im) (sin re)) (* (exp (* -1 im)) (sin re))))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) #s(hole binary64 (+ (* (exp im) (sin re)) (* (exp (* -1 im)) (sin re)))))
#s(approx (* (sin re) (exp (neg im))) #s(hole binary64 (* (exp (* -1 im)) (sin re))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(fma.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))))
(fma.f64 (exp.f64 (neg.f64 im)) (sin.f64 re) (*.f64 (exp.f64 im) (sin.f64 re)))
(fma.f64 (exp.f64 im) (sin.f64 re) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(fma.f64 (sin.f64 re) (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) (sin.f64 re)))
(fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(-.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (sin.f64 re)))
(-.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (neg.f64 (sin.f64 re)) (exp.f64 (neg.f64 im))))
(+.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))))) (/.f64 (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) (sin.f64 re)))
(sin.f64 re)
re
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
im
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 im)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im))) (neg.f64 (+.f64 #s(literal 0 binary64) im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) im))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) im)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
#s(literal 1/2 binary64)
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)))
#s(approx (* (* 2 (cosh im)) re) (+.f64 re re))
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) (*.f64 re re))) (neg.f64 (-.f64 re re)))
(/.f64 (neg.f64 (fma.f64 (*.f64 re re) re (*.f64 (*.f64 re re) re))) (neg.f64 (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re)))))
(/.f64 (-.f64 (*.f64 re re) (*.f64 re re)) (-.f64 re re))
(/.f64 (fma.f64 (*.f64 re re) re (*.f64 (*.f64 re re) re)) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re))))
(+.f64 (/.f64 (*.f64 (*.f64 re re) re) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 (*.f64 (*.f64 re re) re) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re)))))
(+.f64 re re)
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re)))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re))
(*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (-.f64 re re)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) re (*.f64 (*.f64 re re) re))) (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))) (-.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (-.f64 re re)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))) (fma.f64 (*.f64 re re) re (*.f64 (*.f64 re re) re))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)) (-.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) (-.f64 re re)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) re (*.f64 (*.f64 re re) re))) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 3 binary64))) (-.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))) (-.f64 re re)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 re re) re (*.f64 (*.f64 re re) re))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))) (fma.f64 re re (-.f64 (*.f64 re re) (*.f64 re re)))))
(/.f64 (*.f64 (-.f64 (*.f64 re re) (*.f64 re re)) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/4 binary64))) (*.f64 (-.f64 re re) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
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#s(approx (sin re) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (* (sin re) (exp (neg im))) (*.f64 (exp.f64 (neg.f64 im)) re))
#s(approx (* (sin re) (exp (neg im))) (*.f64 (fma.f64 (*.f64 (*.f64 re re) (exp.f64 (neg.f64 im))) #s(literal -1/6 binary64) (exp.f64 (neg.f64 im))) re))
#s(approx (* (sin re) (exp (neg im))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 re re) (exp.f64 (neg.f64 im))) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (neg.f64 im)))) (*.f64 re re) (exp.f64 (neg.f64 im))) re))
#s(approx (* (sin re) (exp (neg im))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 re re) (exp.f64 (neg.f64 im))) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (exp.f64 (neg.f64 im)))) (*.f64 re re) (*.f64 #s(literal -1/6 binary64) (exp.f64 (neg.f64 im)))) (*.f64 re re) (exp.f64 (neg.f64 im))) re))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/240 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) re) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
#s(approx (+ re re) (+.f64 re re))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* re re) -1/12) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(literal -1/12 binary64))
#s(approx (- (* 1/240 (* re re)) 1/12) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)))
#s(approx (* 1/240 (* re re)) (*.f64 (*.f64 re re) #s(literal 1/240 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* re -1/12) (*.f64 #s(literal -1/12 binary64) re))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (sin re) (exp (neg im))) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 (*.f64 re re) re)))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))
#s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))
#s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))
#s(approx (* 1/2 (sin re)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64)))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (+.f64 #s(literal 1/240 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (/.f64 #s(literal 1/12 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64)))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re)))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (+.f64 #s(literal 1/240 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (/.f64 #s(literal 1/12 binary64) (*.f64 re re)))) (*.f64 (*.f64 re re) (*.f64 re re))))
#s(approx (- (* 1/240 (* re re)) 1/12) (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (*.f64 re re)))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal -1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 re re) re))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 (*.f64 re re) re))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 re re)) #s(literal 1/240 binary64)) (pow.f64 re #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 re re)) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re)))) (pow.f64 re #s(literal 5 binary64)))))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 re)) im) #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (fma.f64 im (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 re) im (*.f64 #s(literal 0 binary64) (sin.f64 re)))) (sin.f64 re)))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (fma.f64 im (fma.f64 im (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) im (sin.f64 re))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 re)) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (*.f64 (sin.f64 re) #s(literal 2 binary64)))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 re)) im (*.f64 (sin.f64 re) #s(literal 2 binary64))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (fma.f64 im (fma.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) im) (sin.f64 re)) (*.f64 (sin.f64 re) #s(literal 2 binary64))))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (fma.f64 (fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) im (sin.f64 re)) im)) im (*.f64 (sin.f64 re) #s(literal 2 binary64))))
#s(approx (exp im) #s(literal 1 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (sin re) (exp (neg im))) (fma.f64 (neg.f64 im) (sin.f64 re) (sin.f64 re)))
#s(approx (* (sin re) (exp (neg im))) (fma.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (sin.f64 re) (neg.f64 (sin.f64 re))) (sin.f64 re)))
#s(approx (* (sin re) (exp (neg im))) (fma.f64 im (fma.f64 im (fma.f64 (*.f64 (sin.f64 re) im) #s(literal -1/6 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 re))) (sin.f64 re)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 im)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (neg im) (neg.f64 im))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re) (sin.f64 re)))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (sin.f64 re)) #s(literal 1/24 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (fma.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 re) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (sin.f64 re))) (*.f64 im im))) (*.f64 im im) (sin.f64 re)))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re))
#s(approx (* (* 2 (cosh im)) re) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) re) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64) re) (*.f64 im im) (+.f64 re re)))
#s(approx (* (* 2 (cosh im)) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 im im) re) (*.f64 #s(literal 1/12 binary64) re)) (*.f64 im im) re) (*.f64 im im) (+.f64 re re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal 1/12 binary64))) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re))))
#s(approx (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (fma.f64 (+.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1/12 binary64))) (*.f64 im im) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (cosh im) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (exp im) (exp.f64 im))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (sin re) (exp (neg im))) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (* (+ (* (sin re) (exp im)) (* (sin re) (exp (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval53.0ms (1.5%)

Memory
13.9MiB live, 100.4MiB allocated; 19ms collecting garbage
Compiler

Compiled 5 293 to 1 846 computations (65.1% saved)

prune52.0ms (1.5%)

Memory
-24.6MiB live, 28.5MiB allocated; 21ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New3588366
Fresh257
Picked235
Done022
Total36218380
Accuracy
100.0%
Counts
380 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
100.0%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
73.7%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
49.1%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
34.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
35.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
11.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
12.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
63.5%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
49.4%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
13.9%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
25.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
32.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
32.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
10.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
16.8%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
10.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
48.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
Compiler

Compiled 787 to 751 computations (4.6% saved)

series78.0ms (2.2%)

Memory
9.7MiB live, 100.2MiB allocated; 11ms collecting garbage
Counts
35 → 70
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64))
(*.f64 (*.f64 re re) re)
(*.f64 re re)
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64))))
(*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))
(+.f64 re re)
(fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64))
(*.f64 #s(literal -1/12 binary64) re)
#s(literal -1/12 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re)
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (log.f64 re) #s(literal 2 binary64))
(log.f64 re)
Outputs
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* 1/2 re)))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (* re re) re) -1/6) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (* re re) re) #s(hole binary64 (pow re 3)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ re re) #s(hole binary64 (* 2 re)))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* -1/12 re) #s(hole binary64 (* -1/12 re)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (* (log re) 2) #s(hole binary64 (* 2 (log re))))
#s(approx (log re) #s(hole binary64 (log re)))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (* (log re) 2) #s(hole binary64 (* -2 (log (/ 1 re)))))
#s(approx (log re) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (log re) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 re)))))))
#s(approx (log re) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 re))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
re
@0
((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* -1/12 re) re) 1/2)) (+ re re) (+ (* (* -1/12 re) re) 1/2) (* -1/12 re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re))
15.0ms
re
@inf
((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* -1/12 re) re) 1/2)) (+ re re) (+ (* (* -1/12 re) re) 1/2) (* -1/12 re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re))
15.0ms
re
@-inf
((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* -1/12 re) re) 1/2)) (+ re re) (+ (* (* -1/12 re) re) 1/2) (* -1/12 re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re))
5.0ms
im
@0
((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* -1/12 re) re) 1/2)) (+ re re) (+ (* (* -1/12 re) re) 1/2) (* -1/12 re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re))
3.0ms
im
@inf
((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* -1/12 re) re) 1/2)) (+ re re) (+ (* (* -1/12 re) re) 1/2) (* -1/12 re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re))

rewrite159.0ms (4.4%)

Memory
3.6MiB live, 232.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03322101
03631848
119301847
082551810
Stop Event
iter-limit
node-limit
iter-limit
Counts
105 → 357
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64))
(*.f64 (*.f64 re re) re)
(*.f64 re re)
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64))))
(*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))
(+.f64 re re)
(fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64))
(*.f64 #s(literal -1/12 binary64) re)
#s(literal -1/12 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re)
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (log.f64 re) #s(literal 2 binary64))
(log.f64 re)
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* 1/2 re)))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (* re re) re) -1/6) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (* re re) re) #s(hole binary64 (pow re 3)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ re re) #s(hole binary64 (* 2 re)))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* -1/12 re) #s(hole binary64 (* -1/12 re)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (* (log re) 2) #s(hole binary64 (* 2 (log re))))
#s(approx (log re) #s(hole binary64 (log re)))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (* (log re) 2) #s(hole binary64 (* -2 (log (/ 1 re)))))
#s(approx (log re) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (log re) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 re)))))))
#s(approx (log re) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 re))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 im im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (*.f64 im im))))))
(/.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 4 binary64)) (-.f64 (*.f64 im im) #s(literal 2 binary64)))
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(/.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) #s(literal 8 binary64)) (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2 binary64)))))
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#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (*.f64 (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 -1/12 binary64) (*.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re))) re))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (*.f64 (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 -1/12 binary64) (*.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/240 binary64) (*.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re))) (*.f64 re re))) re))
#s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (sin re) re)
#s(approx (sin re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))
#s(approx (sin re) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* (* re re) re) -1/6) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
#s(approx (* (* re re) re) (*.f64 (*.f64 re re) re))
#s(approx (* re re) (*.f64 re re))
#s(approx (+ re re) (+.f64 re re))
#s(approx (+ (* (* -1/12 re) re) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* -1/12 re) re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (* -1/12 re) (*.f64 #s(literal -1/12 binary64) re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (fma.f64 (*.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 re re)) #s(literal -1/12 binary64) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (log re) 2) (*.f64 (log.f64 re) #s(literal 2 binary64)))
#s(approx (log re) (log.f64 re))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (sin re) 1/2) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 (*.f64 re re) re)))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))
#s(approx (+ (* (* -1/12 re) re) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))
#s(approx (+ (* (* -1/12 re) re) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 re re)))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (*.f64 (*.f64 re re) (fma.f64 (/.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 re re)) #s(literal 1/2 binary64) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal -1/12 binary64)))))
#s(approx (* (log re) 2) (*.f64 (log.f64 re) #s(literal 2 binary64)))
#s(approx (log re) (log.f64 re))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re re)) #s(literal -1/2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 re re) re))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 (*.f64 re re) re))))
#s(approx (* (log re) 2) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))))))
#s(approx (log re) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) #s(literal -1 binary64))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (sin.f64 re) (sin.f64 re)))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (sin.f64 re)) #s(literal 1/24 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 re) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) (sin.f64 re))) (*.f64 im im))) (*.f64 im im) (sin.f64 re)))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 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 (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx im im)
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 re re))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (fma.f64 (+.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (*.f64 im im) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (*.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (+ (* im im) 2)) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 2 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval35.0ms (1%)

Memory
6.6MiB live, 58.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 4 231 to 1 540 computations (63.6% saved)

prune19.0ms (0.5%)

Memory
30.0MiB live, 30.0MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New2777284
Fresh268
Picked235
Done055
Total28121302
Accuracy
100.0%
Counts
302 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
100.0%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
73.7%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
49.1%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
34.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
35.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
11.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
12.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
63.5%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
27.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
13.9%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
25.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
32.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
32.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (*.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
16.8%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
10.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -2 binary64)) re) #s(literal -1/6 binary64)))))
10.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
10.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
10.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
10.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
48.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
Compiler

Compiled 889 to 735 computations (17.3% saved)

regimes57.0ms (1.6%)

Memory
3.3MiB live, 93.3MiB allocated; 7ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -2 binary64)) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (*.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))) re))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
Outputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
Calls

6 calls:

11.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms
im
9.0ms
re
9.0ms
(sin.f64 re)
8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
100.0%1(sin.f64 re)
100.0%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
100.0%1re
100.0%1im
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes150.0ms (4.2%)

Memory
-30.3MiB live, 81.9MiB allocated; 144ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -2 binary64)) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (*.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))) re))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
Calls

6 calls:

109.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms
im
8.0ms
re
8.0ms
(sin.f64 re)
7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
87.6%2(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
86.6%3(sin.f64 re)
86.6%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
99.7%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
86.5%2re
93.5%3im
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes9.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -2 binary64)) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (*.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))) re))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
Calls

1 calls:

7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.2%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes53.0ms (1.5%)

Memory
-9.6MiB live, 90.3MiB allocated; 18ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -2 binary64)) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (*.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))) re))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
Calls

6 calls:

10.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms
(sin.f64 re)
7.0ms
im
7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
76.3%2(sin.f64 re)
76.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
65.3%2re
63.5%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
63.5%1im
76.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes21.0ms (0.6%)

Memory
-7.6MiB live, 37.8MiB allocated; 4ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -2 binary64)) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* re (* re -1/12)) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
Calls

3 calls:

9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
6.0ms
(sin.f64 re)
6.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
75.9%2(sin.f64 re)
75.9%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
76.0%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes26.0ms (0.7%)

Memory
-5.2MiB live, 43.9MiB allocated; 11ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
Calls

6 calls:

9.0ms
(sin.f64 re)
4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
re
3.0ms
im
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
49.4%1im
49.4%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
52.1%2re
60.6%2(sin.f64 re)
60.6%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
60.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes14.0ms (0.4%)

Memory
-19.4MiB live, 25.2MiB allocated; 5ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) re)))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
Calls

3 calls:

7.0ms
(sin.f64 re)
3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
60.1%2(sin.f64 re)
60.1%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
60.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes8.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
Calls

3 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(sin.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
56.5%2(sin.f64 re)
56.5%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
56.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes7.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (*.f64 (+.f64 re re) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re)))
Calls

3 calls:

2.0ms
(sin.f64 re)
2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
56.5%2(sin.f64 re)
56.5%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
56.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes18.0ms (0.5%)

Memory
-29.2MiB live, 17.1MiB allocated; 3ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
Calls

6 calls:

10.0ms
re
2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
im
2.0ms
(sin.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
32.1%2(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
32.1%2im
32.3%2re
33.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
33.4%2(sin.f64 re)
33.4%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes6.0ms (0.2%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
Calls

6 calls:

1.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
(sin.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
25.1%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
25.1%1im
25.1%1re
25.1%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
25.1%1(sin.f64 re)
25.1%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 25 to 30 computations (-20% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998563210131972
+inf
0.0ms
-inf
-0.9932490418663634
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998563210131972
+inf
0.0ms
-inf
-0.9932490418663634
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.017382335168727545
0.06445355137931086
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.017382335168727545
0.06445355137931086
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.017382335168727545
0.06445355137931086
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.01635579918923291
1.901779857053289e-308
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.017382335168727545
0.06445355137931086
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.008177899594616456
9.508899285266446e-309
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.008177899594616456
9.508899285266446e-309
Compiler

Compiled 15 to 16 computations (-6.7% saved)

derivations443.0ms (12.3%)

Memory
32.5MiB live, 402.0MiB allocated; 42ms collecting garbage
Stop Event
fuel
Compiler

Compiled 175 to 113 computations (35.4% saved)

preprocess270.0ms (7.5%)

Memory
-22.9MiB live, 400.7MiB allocated; 59ms collecting garbage
Remove

(negabs re)

(abs im)

Compiler

Compiled 3 314 to 2 688 computations (18.9% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...