math.sin on complex, real part

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.2s (37.6%)

Memory
26.1MiB live, 1 640.3MiB allocated; 355ms collecting garbage
Samples
888.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 617.0ms
ival-sin: 261.0ms (42.3% of total)
ival-exp: 151.0ms (24.5% of total)
ival-mult!: 115.0ms (18.6% of total)
ival-add!: 55.0ms (8.9% of total)
ival-sub!: 35.0ms (5.7% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess50.0ms (1.6%)

Memory
-23.9MiB live, 66.2MiB allocated; 15ms 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 (0.3%)

Memory
17.6MiB live, 17.6MiB 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
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
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
@-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))

rewrite173.0ms (5.5%)

Memory
27.0MiB live, 258.5MiB allocated; 56ms 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 (0.5%)

Memory
-9.6MiB live, 35.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 276 to 496 computations (61.1% saved)

prune6.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB 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
3.7%
(/.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)))
100.0%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
76.5%
(*.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))))
54.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
64.2%
#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))
63.1%
#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 182 to 182 computations (0% saved)

series43.0ms (1.4%)

Memory
-27.2MiB live, 63.5MiB allocated; 11ms 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
16.0ms
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))
8.0ms
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))
4.0ms
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))

rewrite219.0ms (6.9%)

Memory
-4.2MiB live, 387.0MiB allocated; 66ms 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)))

eval68.0ms (2.1%)

Memory
23.2MiB live, 119.0MiB allocated; 14ms collecting garbage
Compiler

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

prune57.0ms (1.8%)

Memory
13.9MiB live, 53.2MiB allocated; 16ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New35810368
Fresh011
Picked325
Done000
Total36113374
Accuracy
100.0%
Counts
374 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.7%
(/.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)))
100.0%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
76.5%
(*.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))))
54.9%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
48.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
40.3%
(*.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)))
37.6%
(*.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)))
64.2%
#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))
63.1%
#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)))
51.5%
#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))
30.2%
#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)))
38.4%
#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)))))
13.6%
#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 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
Compiler

Compiled 497 to 491 computations (1.2% saved)

series27.0ms (0.8%)

Memory
1.9MiB live, 46.2MiB allocated; 8ms collecting garbage
Counts
35 → 82
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))) (*.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(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) 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) 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 (+ (* (- (* 1/240 (* 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) 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 (* -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 (* (+ (* (- (* 1/240 (* 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) 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) 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 (* (* 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))
#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 (- 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 (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#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
9.0ms
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) 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)) (* (* 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
@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) 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)) (* (* 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
@-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) 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)) (* (* 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))
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) 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)) (* (* 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))
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) 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)) (* (* 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))

rewrite219.0ms (6.9%)

Memory
-28.4MiB live, 314.4MiB allocated; 72ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03802295
04132053
122702053
097062002
Stop Event
iter-limit
node-limit
iter-limit
Counts
117 → 373
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))) (*.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(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) 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) 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 (+ (* (- (* 1/240 (* 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) 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 (* -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 (* (+ (* (- (* 1/240 (* 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) 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) 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 (* (* 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))
#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 (- 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 (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#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 (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 2 (cosh 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 (* 2 (cosh 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)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (-.f64 #s(literal 2 binary64) (*.f64 im im)))
(/.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))
im
#s(literal 2 binary64)
#s(approx (* (* (sin re) 1/2) (+ (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))
(*.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))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 re re)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 3 binary64)) (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 #s(literal 1/8 binary64) (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 (/.f64 #s(literal 1/8 binary64) (+.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 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 3 binary64)) (+.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 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))
(*.f64 #s(literal -1/12 binary64) re)
(*.f64 re #s(literal -1/12 binary64))
#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 (*.f64 re re) #s(literal 1/240 binary64)) (*.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 (*.f64 re re) #s(literal 1/240 binary64)) #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 #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 (* (* (* 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 (+ (* (- (* 1/240 (* 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) 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 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 (* (+ (* (- (* 1/240 (* 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) 1/2) (+ (exp (- 0 im)) (exp im))) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)) (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 (* 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 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 (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 (*.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 (+.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 (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) #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 (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* (* 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 (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#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 (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval41.0ms (1.3%)

Memory
-3.4MiB live, 98.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 367 to 1 848 computations (65.6% saved)

prune17.0ms (0.5%)

Memory
-5.5MiB live, 42.2MiB allocated; 1ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New3379346
Fresh246
Picked325
Done022
Total34217359
Accuracy
100.0%
Counts
359 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.7%
(/.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)))
100.0%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
76.5%
(*.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))))
54.9%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
48.4%
(*.f64 (*.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
40.3%
(*.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)))
37.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) 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)))
10.9%
(*.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)))
10.9%
(*.f64 #s(approx (* 1/2 (sin re)) #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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
63.1%
#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)))
51.5%
#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))
13.6%
#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))
30.2%
#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)))
38.4%
#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)))))
38.4%
#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)))))
11.4%
#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))))))
11.4%
#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)))))
Compiler

Compiled 721 to 699 computations (3.1% saved)

series73.0ms (2.3%)

Memory
3.6MiB live, 144.6MiB allocated; 11ms collecting garbage
Counts
35 → 58
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp 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)) #s(literal 2 binary64))
#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)
(*.f64 #s(approx (* 1/2 (sin re)) #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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) #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 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64)))
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64))
(pow.f64 re #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/240 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 (* (pow re 5) 1/240) #s(hole binary64 (* 1/240 (pow re 5))))
#s(approx (pow re 5) #s(hole binary64 (pow re 5)))
#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 (* (+ (* (- (* 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 (* (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 (* (+ (* (- (* 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 (* (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 (* (* (* 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 (+ (exp im) (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 (* (* (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
35.0ms
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)) 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))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (* (pow re 5) 1/240) (pow re 5) 5 1/240 (* (* 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))
19.0ms
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)) 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))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (* (pow re 5) 1/240) (pow re 5) 5 1/240 (* (* 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))
12.0ms
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)) 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))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (* (pow re 5) 1/240) (pow re 5) 5 1/240 (* (* 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))
2.0ms
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)) 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))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (* (pow re 5) 1/240) (pow re 5) 5 1/240 (* (* 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))
2.0ms
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)) 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))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (* (pow re 5) 1/240) (pow re 5) 5 1/240 (* (* 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))

rewrite189.0ms (6%)

Memory
8.7MiB live, 271.9MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03041745
03311520
117061519
080741480
Stop Event
iter-limit
node-limit
iter-limit
Counts
93 → 277
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp 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)) #s(literal 2 binary64))
#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)
(*.f64 #s(approx (* 1/2 (sin re)) #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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) #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 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64)))
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64))
(pow.f64 re #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/240 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 (* (pow re 5) 1/240) #s(hole binary64 (* 1/240 (pow re 5))))
#s(approx (pow re 5) #s(hole binary64 (pow re 5)))
#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 (* (+ (* (- (* 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 (* (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 (* (+ (* (- (* 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 (* (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 (* (* (* 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 (+ (exp im) (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 (* (* (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)) #s(literal 2 binary64)))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))))
(*.f64 #s(approx (+ (exp (- 0 im)) (exp 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)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* (sin re) 1/2) (+ (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) (*.f64 re #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re))
(*.f64 (fabs.f64 (pow.f64 re #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 re #s(literal 3/2 binary64))) (neg.f64 (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (*.f64 re re) re)
(*.f64 re (*.f64 re re))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 3/2 binary64))
(pow.f64 re #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 re) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 re) #s(literal 3 binary64))))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 re))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)))) (-.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)))
#s(literal -1/6 binary64)
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp 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 (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 re re) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (+.f64 re re) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (+.f64 re re) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (+.f64 re re)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (+.f64 re re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re re)) (*.f64 #s(literal 1/2 binary64) (+.f64 re re)))) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (+.f64 re re)) (*.f64 #s(literal 1/2 binary64) (+.f64 re re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 re re) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 re re) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (+.f64 re re) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 re re) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (+.f64 re re)) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (+.f64 re re)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re re)) (*.f64 #s(literal 1/2 binary64) (+.f64 re re))) (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (+.f64 re re)) (*.f64 #s(literal 1/2 binary64) (+.f64 re re))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (log.f64 re)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 re)))
(*.f64 (log.f64 re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 re))
(/.f64 (-.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 (log.f64 re) (log.f64 re))) (-.f64 (log.f64 re) (log.f64 re)))
(/.f64 (+.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)) (pow.f64 (log.f64 re) #s(literal 3 binary64))) (fma.f64 (log.f64 re) (log.f64 re) (-.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 (log.f64 re) (log.f64 re)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (log.f64 re))
(fma.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64) (log.f64 re))
(+.f64 (log.f64 (fabs.f64 re)) (log.f64 (fabs.f64 re)))
(+.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re)))
(+.f64 (log.f64 re) (log.f64 re))
(log.f64 (*.f64 re re))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)))
(*.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(neg.f64 (neg.f64 (log.f64 re)))
(log.f64 re)
#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 (*.f64 re re) #s(literal 1/240 binary64)) (*.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 re re) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) #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 (* (pow re 5) 1/240) (*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64)))
#s(approx (pow re 5) (pow.f64 re #s(literal 5 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 (* (+ (* (- (* 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 (* (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 (* (+ (* (- (* 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 (* (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 (* (* (* 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 (+ (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 (* (* (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)))

eval17.0ms (0.5%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 438 to 1 037 computations (57.5% saved)

prune17.0ms (0.5%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New1768184
Fresh178
Picked145
Done044
Total17823201
Accuracy
100.0%
Counts
201 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.7%
(/.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)))
100.0%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
76.5%
(*.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))))
54.9%
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
48.4%
(*.f64 (*.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
40.3%
(*.f64 #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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
37.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) 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)))
10.9%
(*.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)))
10.9%
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 (*.f64 re re) #s(literal 5/2 binary64)) #s(literal 1/240 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
10.9%
(*.f64 #s(approx (* 1/2 (sin re)) #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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
63.1%
#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)))
51.5%
#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))
13.6%
#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))
30.2%
#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)))
38.4%
#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)))))
38.4%
#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)))))
11.4%
#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))))))
11.4%
#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 (pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
11.4%
#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)))))
11.4%
#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)))))
11.4%
#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)))))
11.4%
#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))))))
11.4%
#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 (exp.f64 (*.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
Compiler

Compiled 903 to 773 computations (14.4% saved)

regimes48.0ms (1.5%)

Memory
-1.6MiB live, 45.8MiB allocated; 1ms 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)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sin re) 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))) #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)))))
(*.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))) (*.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)) #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 (+ (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 (exp.f64 (*.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 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)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) 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)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 (*.f64 re re) #s(literal 5/2 binary64)) #s(literal 1/240 binary64)))) #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 (*.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) (*.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)))
(*.f64 #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 (+ (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 (pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.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 (*.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)))
Outputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
Calls

6 calls:

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

regimes76.0ms (2.4%)

Memory
-11.0MiB live, 47.5MiB allocated; 38ms collecting garbage
Counts
31 → 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)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sin re) 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))) #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)))))
(*.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))) (*.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)) #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 (+ (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 (exp.f64 (*.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 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)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) 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)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 (*.f64 re re) #s(literal 5/2 binary64)) #s(literal 1/240 binary64)))) #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 (*.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) (*.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)))
(*.f64 #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 (+ (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 (pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.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:

41.0ms
im
7.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms
(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
89.2%2(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
88.6%3(sin.f64 re)
88.6%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
99.4%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
88.6%2re
95.4%4im
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes12.0ms (0.4%)

Memory
-40.3MiB live, 9.1MiB allocated; 5ms collecting garbage
Counts
29 → 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)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sin re) 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))) #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)))))
(*.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))) (*.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)) #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 (+ (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 (exp.f64 (*.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 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)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) 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)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 (*.f64 re re) #s(literal 5/2 binary64)) #s(literal 1/240 binary64)))) #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 (*.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) (*.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)))
(*.f64 #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 (+ (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 (pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.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:

10.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.3%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)

regimes39.0ms (1.2%)

Memory
-5.2MiB live, 42.2MiB allocated; 0ms collecting garbage
Counts
27 → 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)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sin re) 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))) #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)))))
(*.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))) (*.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)) #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 (+ (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 (exp.f64 (*.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 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)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) 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)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 (*.f64 re re) #s(literal 5/2 binary64)) #s(literal 1/240 binary64)))) #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 (*.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) (*.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)))
(*.f64 #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 (+ (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 (pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 2 binary64)) #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) (*.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 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
Calls

6 calls:

7.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms
im
6.0ms
(sin.f64 re)
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
75.1%2(sin.f64 re)
75.1%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
66.5%2re
64.2%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
66.2%2im
75.1%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 25 to 30 computations (-20% saved)

regimes15.0ms (0.5%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
18 → 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)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sin re) 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))) #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)))))
(*.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))) (*.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)) #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 (+ (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 (exp.f64 (*.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 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)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) 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)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 (*.f64 re re) #s(literal 5/2 binary64)) #s(literal 1/240 binary64)))) #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)))))
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:

5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
74.4%2(sin.f64 re)
74.4%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
74.4%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 17 to 19 computations (-11.8% saved)

regimes18.0ms (0.6%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms 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)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sin re) 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))) #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)))))
(*.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))) (*.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))
(*.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)))
Calls

6 calls:

3.0ms
im
3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
3.0ms
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
51.5%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
51.5%1im
53.3%2re
60.2%2(sin.f64 re)
60.2%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
59.8%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)

regimes9.0ms (0.3%)

Memory
-34.3MiB live, 13.2MiB allocated; 1ms collecting garbage
Counts
9 → 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)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sin re) 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))) #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)))))
(*.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)))
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))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
57.9%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
57.9%2(sin.f64 re)
57.9%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes8.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms 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:

1.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
re
1.0ms
im
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)))
Results
AccuracySegmentsBranch
38.6%2(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
38.6%2im
38.7%2re
39.6%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
39.6%2(sin.f64 re)
39.6%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes6.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (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
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
Results
AccuracySegmentsBranch
30.2%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
30.2%1im
30.2%1re
30.2%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
30.2%1(sin.f64 re)
30.2%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 25 to 30 computations (-20% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2896591958600772
1.753520477582927e+39
0.0ms
-inf
-0.9999993027677115
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2896591958600772
1.753520477582927e+39
0.0ms
-inf
-0.9999993027677115
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
-0.01029369108727458
2.199160604322476e-307
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.01029369108727458
2.199160604322476e-307
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
7.515758972256846e-9
0.017063459443738122
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0002750729203649964
1.099580302161238e-307
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0002750729203649964
1.099580302161238e-307
Compiler

Compiled 15 to 16 computations (-6.7% saved)

derivations354.0ms (11.2%)

Memory
-24.7MiB live, 168.3MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 162 to 103 computations (36.4% saved)

preprocess148.0ms (4.7%)

Memory
14.4MiB live, 154.0MiB allocated; 16ms collecting garbage
Remove

(negabs re)

(abs im)

Compiler

Compiled 2 665 to 2 168 computations (18.6% saved)

end0.0ms (0%)

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

Profiling

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