math.exp on complex, real part

Time bar (total: 2.6s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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 7 to 7 computations (0% saved)

sample968.0ms (37.5%)

Memory
-1.6MiB live, 1 429.3MiB allocated; 346ms collecting garbage
Samples
741.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 510.0ms
ival-cos: 357.0ms (70% of total)
ival-exp: 111.0ms (21.8% of total)
ival-mult!: 40.0ms (7.8% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess30.0ms (1.2%)

Memory
-5.1MiB live, 40.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01634
15134
216732
377232
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
5 → 21
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 (cos im)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
re
@inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms
re
@0
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
im
@inf
((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite162.0ms (6.3%)

Memory
-13.4MiB live, 137.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089282
091281
1532270
05038250
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
26 → 41
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 (cos im)))
Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im) (*.f64 (*.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) im) im) im) im)))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx im im)
#s(approx (cos im) (cos.f64 im))

eval4.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 258 to 137 computations (46.9% saved)

prune4.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737
Accuracy
100.0%
Counts
37 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
60.4%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
62.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
52.7%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
68.8%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
51.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 109 to 107 computations (1.8% saved)

series18.0ms (0.7%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
20 → 68
Calls
Call 1
Inputs
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(cosh.f64 re)
re
(cos.f64 im)
im
(*.f64 (sinh.f64 re) (cos.f64 im))
(sinh.f64 re)
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Calls

6 calls:

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

rewrite197.0ms (7.6%)

Memory
16.8MiB live, 246.2MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02951416
03081299
118621227
090541155
Stop Event
iter-limit
node-limit
iter-limit
Counts
88 → 165
Calls
Call 1
Inputs
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(cosh.f64 re)
re
(cos.f64 im)
im
(*.f64 (sinh.f64 re) (cos.f64 im))
(sinh.f64 re)
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (cos.f64 im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))) (/.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))))
(-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))))) (/.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))))))
(+.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
re
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
(*.f64 (sinh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (sinh.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (exp.f64 re))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cos.f64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 re re) re) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cos.f64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) re) (cos.f64 im)) (cos.f64 im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (cosh re) #s(literal 1 binary64))
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (sinh re) (cos im)) (*.f64 (cos.f64 im) re))
#s(approx (* (sinh re) (cos im)) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) (cos.f64 im) (cos.f64 im)) re))
#s(approx (* (sinh re) (cos im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) (cos.f64 im) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) (*.f64 re re) (cos.f64 im)) re))
#s(approx (* (sinh re) (cos im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) (cos.f64 im) (*.f64 #s(literal 1/120 binary64) (cos.f64 im))) (*.f64 re re) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) (*.f64 re re) (cos.f64 im)) re))
#s(approx (sinh re) re)
#s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
#s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sinh re) (*.f64 (fma.f64 (fma.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 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cos.f64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) re) (cos.f64 im)) (cos.f64 im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (cos.f64 im))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))))
#s(approx (cosh re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 1/2 binary64)))
#s(approx (sinh re) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 im im))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal -1/1440 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 im im))) (*.f64 im im))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.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 (* (sinh re) (cos im)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (exp.f64 re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))

eval27.0ms (1%)

Memory
-5.8MiB live, 50.0MiB allocated; 15ms collecting garbage
Compiler

Compiled 1 778 to 671 computations (62.3% saved)

prune25.0ms (1%)

Memory
-1.4MiB live, 36.2MiB allocated; 19ms collecting garbage
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New1668174
Fresh011
Picked145
Done011
Total16714181
Accuracy
100.0%
Counts
181 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
51.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
25.5%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
62.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
30.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
28.5%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
52.7%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
68.8%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
51.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
28.6%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
52.6%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
35.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
28.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 273 to 248 computations (9.2% saved)

series15.0ms (0.6%)

Memory
33.3MiB live, 33.3MiB allocated; 0ms collecting garbage
Counts
24 → 72
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)
(+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))
(/.f64 (cos.f64 im) re)
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (cos im)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (/ (cos im) re)))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (/ (+ (cos im) (* re (cos im))) re)))
#s(approx (/ (cos im) re) #s(hole binary64 (/ (cos im) re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (* re (cos im))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ (cos im) (/ (cos im) re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re)))))) (* re (+ 1 (/ 1 re))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (/ 1 re))))))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (+ (* -1 (* (pow im 2) (* re (+ 1/720 (* 1/720 (/ 1 re)))))) (* re (+ 1/24 (* 1/24 (/ 1 re)))))))))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (/ 1 re))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* -1 (* (pow im 2) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* 1/24 (/ 1 re)))) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (+ (* -1 (* (pow im 2) (+ 1/720 (* 1/720 (/ 1 re))))) (* 1/24 (/ 1 re))))) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (/ (cos im) re) #s(hole binary64 (/ 1 re)))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* -1/2 (/ (pow im 2) re)) (/ 1 re))))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) re)) (* 1/2 (/ 1 re)))) (/ 1 re))))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) re)) (* 1/24 (/ 1 re)))) (* 1/2 (/ 1 re)))) (/ 1 re))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Calls

6 calls:

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

rewrite183.0ms (7.1%)

Memory
-0.6MiB live, 279.6MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02651365
02801305
115381286
082411247
Stop Event
iter-limit
node-limit
iter-limit
Counts
96 → 211
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)
(+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))
(/.f64 (cos.f64 im) re)
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (cos im)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (/ (cos im) re)))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (/ (+ (cos im) (* re (cos im))) re)))
#s(approx (/ (cos im) re) #s(hole binary64 (/ (cos im) re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (* re (cos im))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ (cos im) (/ (cos im) re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re)))))) (* re (+ 1 (/ 1 re))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (/ 1 re))))))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (+ (* -1 (* (pow im 2) (* re (+ 1/720 (* 1/720 (/ 1 re)))))) (* re (+ 1/24 (* 1/24 (/ 1 re)))))))))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (/ 1 re))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* -1 (* (pow im 2) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* 1/24 (/ 1 re)))) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (+ (* -1 (* (pow im 2) (+ 1/720 (* 1/720 (/ 1 re))))) (* 1/24 (/ 1 re))))) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (/ (cos im) re) #s(hole binary64 (/ 1 re)))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* -1/2 (/ (pow im 2) re)) (/ 1 re))))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) re)) (* 1/2 (/ 1 re)))) (/ 1 re))))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) re)) (* 1/24 (/ 1 re)))) (* 1/2 (/ 1 re)))) (/ 1 re))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Outputs
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
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(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
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im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
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#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
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(+.f64 #s(literal 1 binary64) re)
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)
(*.f64 re (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (*.f64 re (/.f64 (cos.f64 im) re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 re (/.f64 (cos.f64 im) re)) (*.f64 re (/.f64 (cos.f64 im) re))) (*.f64 (*.f64 (cos.f64 im) re) (*.f64 re (/.f64 (cos.f64 im) re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 im) re) re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 im) re) re) (*.f64 (/.f64 (cos.f64 im) re) re)) (*.f64 (*.f64 (cos.f64 im) re) (*.f64 (/.f64 (cos.f64 im) re) re)))))
(fma.f64 (cos.f64 im) re (*.f64 re (/.f64 (cos.f64 im) re)))
(fma.f64 (cos.f64 im) re (*.f64 (/.f64 (cos.f64 im) re) re))
(fma.f64 re (cos.f64 im) (*.f64 re (/.f64 (cos.f64 im) re)))
(fma.f64 re (cos.f64 im) (*.f64 (/.f64 (cos.f64 im) re) re))
(+.f64 (*.f64 (cos.f64 im) re) (*.f64 re (/.f64 (cos.f64 im) re)))
(+.f64 (*.f64 (cos.f64 im) re) (*.f64 (/.f64 (cos.f64 im) re) re))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)))) (neg.f64 (-.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))) (neg.f64 (-.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (*.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re))) (-.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (*.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (-.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (-.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (*.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))) (/.f64 (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (*.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))))))
(+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (neg.f64 re)))
(/.f64 (neg.f64 (cos.f64 im)) (neg.f64 re))
(/.f64 (cos.f64 im) re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (+ 1 re) #s(literal 1 binary64))
#s(approx (+ 1 re) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (cos im) (- re -1)) (cos.f64 im))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (cos.f64 im))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (/ (cos im) re) (cos im)) (/.f64 (cos.f64 im) re))
#s(approx (+ (/ (cos im) re) (cos im)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)) re))
#s(approx (/ (cos im) re) (/.f64 (cos.f64 im) re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ 1 re) re)
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (*.f64 (cos.f64 im) re))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (+ (/ (cos im) re) (cos im)) (cos.f64 im))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.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 (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))) (*.f64 im im) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re))) (*.f64 im im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) re (neg.f64 (*.f64 (*.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/720 binary64) re) #s(literal 1/720 binary64))))) (*.f64 im im) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re))) (*.f64 im im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) re) #s(literal 1/720 binary64)) (*.f64 im im))) (/.f64 #s(literal 1/24 binary64) re)) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)))
#s(approx (/ (cos im) re) (/.f64 #s(literal 1 binary64) re))
#s(approx (/ (cos im) re) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (/ (cos im) re) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) re) (*.f64 im im) (/.f64 #s(literal 1 binary64) re)))
#s(approx (/ (cos im) re) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) re) (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) (/.f64 #s(literal 1 binary64) re)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))

eval32.0ms (1.2%)

Memory
-28.6MiB live, 72.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 2 946 to 1 064 computations (63.9% saved)

prune12.0ms (0.5%)

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

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New2378245
Fresh134
Picked235
Done055
Total24019259
Accuracy
100.0%
Counts
259 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
51.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
25.5%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
62.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
14.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
38.6%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))) (cos.f64 im))
8.0%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
28.5%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
52.7%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
68.8%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
51.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
28.6%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
28.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
35.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
10.8%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
22.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
10.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
28.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 458 to 421 computations (8.1% saved)

series45.0ms (1.7%)

Memory
3.3MiB live, 95.3MiB allocated; 7ms collecting garbage
Counts
35 → 122
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))
(-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64))
(*.f64 (cosh.f64 re) (cos.f64 im))
(cosh.f64 re)
re
(cos.f64 im)
im
#s(literal 2 binary64)
(pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))
(*.f64 (sinh.f64 re) (cos.f64 im))
(sinh.f64 re)
(-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(*.f64 re re)
#s(literal 1/2 binary64)
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64)))
#s(approx (+ 1 re) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) #s(hole binary64 (cos im)))
#s(approx (/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) #s(hole binary64 (+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))))
#s(approx (/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) #s(hole binary64 (+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))))
#s(approx (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) #s(hole binary64 (pow (cos im) 2)))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (pow (cos im) 2)))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (+ (* (pow re 2) (pow (cos im) 2)) (pow (cos im) 2))))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (+ (* (pow re 2) (+ (* 1/3 (* (pow re 2) (pow (cos im) 2))) (pow (cos im) 2))) (pow (cos im) 2))))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (+ (* 2/45 (* (pow re 2) (pow (cos im) 2))) (* 1/3 (pow (cos im) 2)))) (pow (cos im) 2))) (pow (cos im) 2))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* (pow re 2) (cos im))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (cos im))) (* 1/2 (cos im)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/2 (cos im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (cos im))) (* 1/24 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (* (pow re 2) (pow (cos im) 2))))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (* (pow re 2) (+ (* 1/3 (* (pow re 2) (pow (cos im) 2))) (pow (cos im) 2)))))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (* (pow re 2) (+ (* (pow re 2) (+ (* 2/45 (* (pow re 2) (pow (cos im) 2))) (* 1/3 (pow (cos im) 2)))) (pow (cos im) 2)))))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (* (pow re 2) (+ (* (pow re 2) (+ (* 1/3 (pow (cos im) 2)) (* (pow re 2) (+ (* 1/315 (* (pow re 2) (pow (cos im) 2))) (* 2/45 (pow (cos im) 2)))))) (pow (cos im) 2)))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* -1 (* re (cos im))))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (- (* 1/2 (* re (cos im))) (cos im))))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (- (* re (+ (* -1/6 (* re (cos im))) (* 1/2 (cos im)))) (cos im))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 re))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) #s(hole binary64 (/ (- (* 1/4 (* (pow (cos im) 2) (pow (+ (exp re) (/ 1 (exp re))) 2))) (* 1/4 (* (pow (cos im) 2) (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))))
#s(approx (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) #s(hole binary64 (- (* 1/4 (* (pow (cos im) 2) (pow (+ (exp re) (/ 1 (exp re))) 2))) (* 1/4 (* (pow (cos im) 2) (pow (- (exp re) (/ 1 (exp re))) 2))))))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (* 1/4 (* (pow (cos im) 2) (pow (+ (exp re) (/ 1 (exp re))) 2)))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (* 1/4 (* (pow (cos im) 2) (pow (- (exp re) (/ 1 (exp re))) 2)))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (- (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (- (* -1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* -1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ (* (- (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (pow (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) 2)))))) (* 1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (- (+ (* -1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (- (* 1/12 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/12 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (/ (* (- (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))) (- (* -1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* -1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ (* (- (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (pow (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) 2))))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (/ (* (- (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re))))) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (pow (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) 2))))))) (+ (* -1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ (* (- (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (pow (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) 2)))))) (* 1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))
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#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))))))))
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#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
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#s(approx im #s(hole binary64 im))
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#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
im
@0
((/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (pow (* (cosh re) (cos im)) 2) (* (cosh re) (cos im)) (cosh re) re (cos im) im 2 (pow (* (sinh re) (cos im)) 2) (* (sinh re) (cos im)) (sinh re) (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2))
9.0ms
re
@0
((/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (pow (* (cosh re) (cos im)) 2) (* (cosh re) (cos im)) (cosh re) re (cos im) im 2 (pow (* (sinh re) (cos im)) 2) (* (sinh re) (cos im)) (sinh re) (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2))
5.0ms
im
@-inf
((/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (pow (* (cosh re) (cos im)) 2) (* (cosh re) (cos im)) (cosh re) re (cos im) im 2 (pow (* (sinh re) (cos im)) 2) (* (sinh re) (cos im)) (sinh re) (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2))
5.0ms
re
@inf
((/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (pow (* (cosh re) (cos im)) 2) (* (cosh re) (cos im)) (cosh re) re (cos im) im 2 (pow (* (sinh re) (cos im)) 2) (* (sinh re) (cos im)) (sinh re) (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2))
5.0ms
re
@-inf
((/ (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (- (* (cosh re) (cos im)) (* (sinh re) (cos im)))) (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (pow (* (cosh re) (cos im)) 2) (* (cosh re) (cos im)) (cosh re) re (cos im) im 2 (pow (* (sinh re) (cos im)) 2) (* (sinh re) (cos im)) (sinh re) (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2))

rewrite211.0ms (8.2%)

Memory
-22.6MiB live, 223.0MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05755336
06044764
137054183
081994036
Stop Event
iter-limit
node-limit
iter-limit
Counts
157 → 285
Calls
Call 1
Inputs
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#s(approx (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) #s(hole binary64 (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))))
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#s(approx (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) #s(hole binary64 (- (+ (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (- (+ (* -1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (- (* 1/12 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/12 (pow (- (exp re) (/ 1 (exp re))) 2))))) (* -1/4 (pow (- (exp re) (/ 1 (exp re))) 2))))) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))))
#s(approx (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) #s(hole binary64 (- (+ (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (- (+ (* -1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (- (+ (* 1/12 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (- (* -1/90 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* -1/90 (pow (- (exp re) (/ 1 (exp re))) 2))))) (* 1/12 (pow (- (exp re) (/ 1 (exp re))) 2))))) (* -1/4 (pow (- (exp re) (/ 1 (exp re))) 2))))) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2))))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (pow (+ (exp re) (/ 1 (exp re))) 2))) (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)))))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (+ (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (+ (* -1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/12 (* (pow im 2) (pow (+ (exp re) (/ 1 (exp re))) 2))))))))
#s(approx (pow (* (cosh re) (cos im)) 2) #s(hole binary64 (+ (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (+ (* -1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (+ (* -1/90 (* (pow im 2) (pow (+ (exp re) (/ 1 (exp re))) 2))) (* 1/12 (pow (+ (exp re) (/ 1 (exp re))) 2)))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/48 (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (pow (- (exp re) (/ 1 (exp re))) 2))) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (+ (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (+ (* -1/4 (pow (- (exp re) (/ 1 (exp re))) 2)) (* 1/12 (* (pow im 2) (pow (- (exp re) (/ 1 (exp re))) 2))))))))
#s(approx (pow (* (sinh re) (cos im)) 2) #s(hole binary64 (+ (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (+ (* -1/4 (pow (- (exp re) (/ 1 (exp re))) 2)) (* (pow im 2) (+ (* -1/90 (* (pow im 2) (pow (- (exp re) (/ 1 (exp re))) 2))) (* 1/12 (pow (- (exp re) (/ 1 (exp re))) 2)))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (- (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (- (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (- (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (- (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (- (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re))))))) (* -1/4 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (- (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (- (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (- (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (- (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))) (* 1/48 (- (exp re) (/ 1 (exp re))))))) (* -1/4 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))) (/.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (*.f64 (cosh.f64 re) (cos.f64 im))) (fabs.f64 (*.f64 (cosh.f64 re) (cos.f64 im))))
(*.f64 (neg.f64 (*.f64 (cosh.f64 re) (cos.f64 im))) (neg.f64 (*.f64 (cosh.f64 re) (cos.f64 im))))
(*.f64 (exp.f64 (log.f64 (*.f64 (cosh.f64 re) (cos.f64 im)))) (exp.f64 (log.f64 (*.f64 (cosh.f64 re) (cos.f64 im)))))
(*.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (cosh.f64 re) (cosh.f64 re)))
(*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (cosh.f64 re) (cos.f64 im)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 re) (cos.f64 im))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 re) (cos.f64 im))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 re) (cos.f64 im))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cosh.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cosh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (pow.f64 (cosh.f64 re) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (cosh.f64 re))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 re) (cos.f64 im))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
re
(pow.f64 (pow.f64 (cos.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 im) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(exp.f64 (*.f64 (log.f64 (cos.f64 im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
#s(literal 2 binary64)
(*.f64 (fabs.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) (fabs.f64 (*.f64 (sinh.f64 re) (cos.f64 im))))
(*.f64 (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im))))
(*.f64 (exp.f64 (log.f64 (*.f64 (sinh.f64 re) (cos.f64 im)))) (exp.f64 (log.f64 (*.f64 (sinh.f64 re) (cos.f64 im)))))
(*.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (sinh.f64 re) (sinh.f64 re)))
(*.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (sinh.f64 re) (cos.f64 im)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sinh.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (sinh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (pow.f64 (sinh.f64 re) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (sinh.f64 re))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(*.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im))))
(fma.f64 (pow.f64 (cosh.f64 re) #s(literal 1 binary64)) (cos.f64 im) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(fma.f64 (cos.f64 im) (pow.f64 (cosh.f64 re) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
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#s(approx (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (-.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) (*.f64 im im))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) (*.f64 im im))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 im im) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (- (pow (* (cosh re) (cos im)) 2) (pow (* (sinh re) (cos im)) 2)) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal -1/90 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) (*.f64 im im))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/12 binary64))) (*.f64 im im) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 im im) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (pow (* (cosh re) (cos im)) 2) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow (* (cosh re) (cos im)) 2) (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) im) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (pow (* (cosh re) (cos im)) 2) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) im) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) (*.f64 im im))))
#s(approx (pow (* (cosh re) (cos im)) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) im) #s(literal 2 binary64)) #s(literal -1/90 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) (*.f64 im im))) (*.f64 im im) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (cosh re) (cos im)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (cosh re) (cos im)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.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 (pow (* (sinh re) (cos im)) 2) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow (* (sinh re) (cos im)) 2) (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) im) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (pow (* (sinh re) (cos im)) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) im) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 im im) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (pow (* (sinh re) (cos im)) 2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) im) #s(literal 2 binary64)) #s(literal -1/90 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/12 binary64))) (*.f64 im im) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 im im) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (sinh re) (cos im)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (- (* (cosh re) (cos im)) (* (sinh re) (cos im))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (* im im) -1/2) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))

eval49.0ms (1.9%)

Memory
-16.1MiB live, 70.3MiB allocated; 13ms collecting garbage
Compiler

Compiled 4 601 to 1 489 computations (67.6% saved)

prune13.0ms (0.5%)

Memory
40.5MiB live, 40.5MiB allocated; 0ms collecting garbage
Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New2624266
Fresh156
Picked235
Done088
Total26520285
Accuracy
100.0%
Counts
285 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
51.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
25.5%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
62.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
38.6%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))) (cos.f64 im))
14.4%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
28.5%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
52.7%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
68.8%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
51.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
28.6%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
28.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
3.5%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
35.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
10.8%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
10.8%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
22.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
10.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
28.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 476 to 374 computations (21.4% saved)

regimes86.0ms (3.3%)

Memory
-25.6MiB live, 69.9MiB allocated; 38ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

44.0ms
(exp.f64 re)
19.0ms
im
7.0ms
re
7.0ms
(cos.f64 im)
6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
100.0%1(cos.f64 im)
100.0%1(exp.f64 re)
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1re
100.0%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes30.0ms (1.2%)

Memory
-7.5MiB live, 40.9MiB allocated; 4ms collecting garbage
Counts
21 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

8.0ms
(cos.f64 im)
6.0ms
im
6.0ms
re
5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
80.9%2(cos.f64 im)
93.4%3(exp.f64 re)
99.3%5(*.f64 (exp.f64 re) (cos.f64 im))
98.2%5re
81.4%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
20 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.2%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
19 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.0%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes27.0ms (1%)

Memory
7.0MiB live, 53.1MiB allocated; 4ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

7.0ms
re
5.0ms
im
5.0ms
(cos.f64 im)
4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
73.0%2(cos.f64 im)
68.8%1im
68.8%1(exp.f64 re)
71.5%2re
75.7%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.3%)

Memory
-31.5MiB live, 14.9MiB allocated; 2ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (*.f64 re re)))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
74.3%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes13.0ms (0.5%)

Memory
37.4MiB live, 37.4MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Calls

5 calls:

3.0ms
im
3.0ms
re
3.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
35.9%1im
42.8%2(exp.f64 re)
42.8%2re
41.4%2(cos.f64 im)
48.3%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 #s(approx (cos im) #s(literal 1 binary64)) re) #s(approx (cos im) #s(literal 1 binary64))) re)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
Calls

1 calls:

2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
48.3%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes16.0ms (0.6%)

Memory
-27.4MiB live, 20.6MiB allocated; 11ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
Calls

5 calls:

8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
im
2.0ms
re
2.0ms
(cos.f64 im)
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.6%1im
28.6%1(cos.f64 im)
36.0%2(exp.f64 re)
36.0%2re
36.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
Calls

1 calls:

2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
36.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
Calls

4 calls:

1.0ms
re
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.6%1(cos.f64 im)
28.6%1(exp.f64 re)
28.6%1re
28.6%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.3%)

Memory
-32.5MiB live, 14.8MiB allocated; 2ms collecting garbage
Accuracy

Total -16.2b remaining (-35.2%)

Threshold costs -16.2b (-35.2%)

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

5 calls:

2.0ms
im
1.0ms
re
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.2%1im
28.2%1(exp.f64 re)
28.2%1(cos.f64 im)
28.2%1(*.f64 (exp.f64 re) (cos.f64 im))
28.2%1re
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988001698589754
0.9999999990451863
0.0ms
0.0
0.009216645199075758
0.0ms
-0.005219470947750991
0.0
0.0ms
-inf
-0.9999929143808137
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988001698589754
0.9999999990451863
0.0ms
0.0
0.009216645199075758
0.0ms
-0.005219470947750991
0.0
0.0ms
-inf
-0.9999929143808137
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988001698589754
0.9999999990451863
0.0ms
0.0
0.009216645199075758
0.0ms
-0.005219470947750991
0.0
0.0ms
-inf
-0.9999929143808137
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.005219470947750991
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.005219470947750991
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.009216645199075758
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6665159344858362
3.45279043022493
0.0ms
0.0
0.009216645199075758
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6665159344858362
3.45279043022493
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.45279043022493
+inf
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations286.0ms (11.1%)

Memory
29.8MiB live, 311.8MiB allocated; 54ms collecting garbage
Stop Event
fuel
Compiler

Compiled 146 to 88 computations (39.7% saved)

preprocess85.0ms (3.3%)

Memory
2.4MiB live, 187.6MiB allocated; 21ms collecting garbage
Remove

(abs im)

Compiler

Compiled 871 to 729 computations (16.3% saved)

end0.0ms (0%)

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

Profiling

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