math.sin on complex, imaginary part

Time bar (total: 5.5s)

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 14 to 13 computations (7.1% saved)

sample2.7s (49.1%)

Memory
58.2MiB live, 3 130.1MiB allocated; 1.4s collecting garbage
Samples
1.2s1 706×2valid
595.0ms4 199×0valid
533.0ms2 351×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-exp: 1.3s (65% of total)
ival-cos: 253.0ms (12.2% of total)
ival-mult!: 217.0ms (10.5% of total)
adjust: 139.0ms (6.7% of total)
ival-sub!: 115.0ms (5.6% of total)
Bogosity

preprocess62.0ms (1.1%)

Memory
-13.5MiB live, 30.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03070
113355
256734
3381234
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Symmetry

(abs re)

(negabs im)

Compiler

Compiled 22 to 22 computations (0% saved)

series15.0ms (0.3%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179675
Stop Event
iter-limit
Counts
11 → 38
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (- 0 im) (*.f64 #s(literal -1 binary64) im))
#s(approx im im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
Calls

6 calls:

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

rewrite351.0ms (6.4%)

Memory
18.2MiB live, 480.2MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01138
01834
18332
232827
3188327
0850727
12198227
Stop Event
saturated
node-limit
iter-limit
Counts
11 → 832
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)
Outputs
(*.f64 (/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)) (sinh.f64 im))
(*.f64 (/.f64 (neg.f64 (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (cos.f64 re) #s(literal 1 binary64)) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(*.f64 (sinh.f64 (neg.f64 im)) (/.f64 (cos.f64 re) #s(literal 1 binary64)))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (sinh.f64 im)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sinh.f64 im) (cos.f64 re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (sinh.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))))
(fma.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (sinh.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(fma.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (cos.f64 re) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re))) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (cos.f64 re) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 re) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (cos.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)))
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
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re
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(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (exp.f64 (+.f64 im #s(literal 1 binary64))) (E.f64))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 im)))
(fma.f64 (/.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64)) (exp.f64 (neg.f64 im)) (cosh.f64 im))
(fma.f64 (/.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) (exp.f64 im)) (/.f64 (expm1.f64 im) #s(literal 2 binary64)) (cosh.f64 im))
(fma.f64 (/.f64 (expm1.f64 (+.f64 im im)) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (cosh.f64 im))
(fma.f64 (/.f64 (sinh.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64) (cosh.f64 im))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (exp.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (/.f64 (exp.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (-.f64 im #s(literal 1 binary64))) (E.f64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 (-.f64 im #s(literal 1 binary64))) (E.f64) #s(literal 0 binary64))
(fma.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (cosh.f64 im))
(fma.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 im) #s(literal -1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 im)))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 im)))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cosh.f64 im))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (sinh.f64 im))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) #s(literal 1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (sinh.f64 im) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 im #s(literal 2 binary64))) (cosh.f64 (/.f64 im #s(literal 2 binary64)))) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 im #s(literal 2 binary64))) (cosh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 im #s(literal 2 binary64))) (sinh.f64 (/.f64 im #s(literal 2 binary64)))) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sinh.f64 im))
(fma.f64 (sinh.f64 im) #s(literal 1 binary64) (cosh.f64 im))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (sinh.f64 im))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (sinh.f64 im))
(sqrt.f64 (*.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 im) im))))
(sqrt.f64 (/.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (fma.f64 im #s(literal 2 binary64) #s(literal 0 binary64))))
(sqrt.f64 (exp.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(-.f64 (/.f64 (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 im))) (/.f64 (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))) (exp.f64 (neg.f64 im))))
(-.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))) (exp.f64 im))
(-.f64 (/.f64 (sinh.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (cosh.f64 im)) #s(literal 1 binary64)))
(-.f64 (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(-.f64 (sinh.f64 im) (neg.f64 (cosh.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(-.f64 (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 im) #s(literal 0 binary64))
(fabs.f64 (-.f64 #s(literal 0 binary64) (exp.f64 im)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (exp.f64 im) #s(literal -1 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 im)))))
(fabs.f64 (/.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (exp.f64 im) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 im)))
(fabs.f64 (exp.f64 im))
(exp.f64 (/.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 im im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(exp.f64 im)
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))) (exp.f64 im))
(+.f64 (/.f64 (sinh.f64 im) #s(literal 1 binary64)) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (/.f64 (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (/.f64 (sinh.f64 im) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 im))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(+.f64 (cosh.f64 im) (sinh.f64 im))
(+.f64 (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(+.f64 (exp.f64 im) #s(literal 0 binary64))

eval123.0ms (2.2%)

Memory
-14.7MiB live, 231.0MiB allocated; 104ms collecting garbage
Compiler

Compiled 7 982 to 3 129 computations (60.8% saved)

prune20.0ms (0.4%)

Memory
6.0MiB live, 49.1MiB allocated; 10ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New8575862
Fresh000
Picked101
Done000
Total8585863
Accuracy
99.9%
Counts
863 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
82.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
42.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
48.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
Compiler

Compiled 138 to 138 computations (0% saved)

series84.0ms (1.5%)

Memory
6.9MiB live, 106.7MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04181815
Stop Event
iter-limit
Counts
30 → 85
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(expm1.f64 (+.f64 im im))
(+.f64 im im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -2/3 binary64) (cos.f64 re))) (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 #s(literal -4/15 binary64) (cos.f64 re)))) (fma.f64 #s(literal -1 binary64) (cos.f64 re) (fma.f64 #s(literal -2/3 binary64) (cos.f64 re) (fma.f64 #s(literal -1/12 binary64) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -2/3 binary64) (cos.f64 re))) (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))))))))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -2/3 binary64) im) #s(literal 4/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (+ im im)) 1) (*.f64 #s(literal 2 binary64) im))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) im))))))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) im))))))))
#s(approx (- (* -1/3 (pow im 2)) 2) #s(literal -2 binary64))
#s(approx (- (* -1/3 (pow im 2)) 2) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (* -1/3 (pow im 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (/ (neg (- (exp (+ im im)) 1)) (exp im)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)))
#s(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))
#s(approx (- (exp (+ im im)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (* im (- (* -1/3 (pow im 2)) 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* im (- (* -1/3 (pow im 2)) 2)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (- (* -1/3 (pow im 2)) 2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))) (exp.f64 im))))
#s(approx (/ (neg (- (exp (+ im im)) 1)) (exp im)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))) (exp.f64 im)))
#s(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))
#s(approx (- (exp (+ im im)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
im
@-inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) im (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im)) (neg (- (exp (+ im im)) 1)) (- (exp (+ im im)) 1) (+ im im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* im (- (* -1/3 (pow im 2)) 2)) (- (* -1/3 (pow im 2)) 2) (* -1/3 (pow im 2)) -1/3 (pow im 2) 2)
6.0ms
im
@0
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) im (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im)) (neg (- (exp (+ im im)) 1)) (- (exp (+ im im)) 1) (+ im im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* im (- (* -1/3 (pow im 2)) 2)) (- (* -1/3 (pow im 2)) 2) (* -1/3 (pow im 2)) -1/3 (pow im 2) 2)
5.0ms
im
@inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) im (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im)) (neg (- (exp (+ im im)) 1)) (- (exp (+ im im)) 1) (+ im im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* im (- (* -1/3 (pow im 2)) 2)) (- (* -1/3 (pow im 2)) 2) (* -1/3 (pow im 2)) -1/3 (pow im 2) 2)
3.0ms
re
@inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) im (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im)) (neg (- (exp (+ im im)) 1)) (- (exp (+ im im)) 1) (+ im im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* im (- (* -1/3 (pow im 2)) 2)) (- (* -1/3 (pow im 2)) 2) (* -1/3 (pow im 2)) -1/3 (pow im 2) 2)
3.0ms
re
@0
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) im (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im)) (neg (- (exp (+ im im)) 1)) (- (exp (+ im im)) 1) (+ im im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* im (- (* -1/3 (pow im 2)) 2)) (- (* -1/3 (pow im 2)) 2) (* -1/3 (pow im 2)) -1/3 (pow im 2) 2)

rewrite267.0ms (4.9%)

Memory
19.9MiB live, 478.5MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038188
061168
1245149
2804145
35362145
08039141
119888141
Stop Event
saturated
node-limit
iter-limit
Counts
30 → 1 314
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(expm1.f64 (+.f64 im im))
(+.f64 im im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)))
(*.f64 (/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)))
(*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (cos.f64 re)) #s(literal 2 binary64)) (exp.f64 (neg.f64 im)))
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (cos.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (neg.f64 (expm1.f64 (+.f64 im im))))
(*.f64 (neg.f64 (cos.f64 re)) (sinh.f64 im))
(*.f64 (*.f64 (expm1.f64 (+.f64 im im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (exp.f64 (neg.f64 im)))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (sinh.f64 im) (neg.f64 (cos.f64 re)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (expm1.f64 (+.f64 im im)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(*.f64 (expm1.f64 (+.f64 im im)) (*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) (/.f64 (cos.f64 re) #s(literal 1 binary64)))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(/.f64 (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)) (exp.f64 im))
(/.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -1 binary64)) (neg.f64 (exp.f64 im)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (cos.f64 re)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cos.f64 re) (expm1.f64 (+.f64 im im))) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (expm1.f64 (+.f64 im im)))) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 im))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (cos.f64 re)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 re) (expm1.f64 (+.f64 im im))) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (+.f64 im im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (exp.f64 im)))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (sinh.f64 im)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (exp.f64 im))
(/.f64 (*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (exp.f64 (neg.f64 im)))))
(neg.f64 (/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal -2 binary64)))
(neg.f64 (*.f64 (sinh.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (sinh.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))))
(fma.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cosh.f64 im) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im))))
(fma.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im)) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cosh.f64 im)))
(fma.f64 (neg.f64 (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (cosh.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cosh.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 #s(literal 0 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (cos.f64 re) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (cos.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im))))
(fma.f64 (sinh.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(fma.f64 (sinh.f64 (neg.f64 im)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (cosh.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (exp.f64 im))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im)))))
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im))))
(+.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cosh.f64 im)) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im))))
(+.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im))) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cosh.f64 im)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im)))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 re)) (*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (cosh.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (*.f64 (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (sinh.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
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(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
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#s(literal 2 binary64)

eval156.0ms (2.8%)

Memory
-48.6MiB live, 347.4MiB allocated; 69ms collecting garbage
Compiler

Compiled 10 895 to 4 424 computations (59.4% saved)

prune38.0ms (0.7%)

Memory
11.6MiB live, 110.6MiB allocated; 15ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 273131 286
Fresh000
Picked325
Done000
Total1 276151 291
Accuracy
99.9%
Counts
1 291 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.6%
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
62.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im #s(approx (- (* -1/3 (pow im 2)) 2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
56.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
63.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
26.4%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
48.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
64.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
42.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
42.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
5.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
42.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
27.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
64.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
35.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
Compiler

Compiled 540 to 532 computations (1.5% saved)

series35.0ms (0.6%)

Memory
-0.6MiB live, 90.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03651645
Stop Event
iter-limit
Counts
39 → 80
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
(*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
(-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) im)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im))))
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))
(expm1.f64 (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
(exp.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sinh.f64 (neg.f64 im))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im)))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im)))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* -1/2 (pow re 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (+ 1 (* -1/2 (pow re 2))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (+ (* (* im im) -1/3) -2) #s(literal -2 binary64))
#s(approx (+ (* (* im im) -1/3) -2) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) im))) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 2/3 binary64) im) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (* (+ (* (* im im) -1/3) -2) im) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* (+ (* (* im im) -1/3) -2) im) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (+ (* (* im im) -1/3) -2) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* im im) -1/3) -2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))
#s(approx (exp im) (exp.f64 im))
#s(approx (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (/ (- (exp (* -2 im)) 1) (exp (neg im))) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im))))
#s(approx (- (exp (* -2 im)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* (- (exp (- 0 im)) (exp im)) (cos re)) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (+ 1 (* -1 im)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(approx (/ (- (exp (* -2 im)) 1) (exp (neg im))) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
im
@0
((* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (* (- (exp (- 0 im)) (exp im)) (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (* im im) -1/3) -2) im) (+ (* (* im im) -1/3) -2) (* im im) im -1/3 -2 (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* -1 im)) 1 (* -1 im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (/ (- (exp (* -2 im)) 1) (exp (neg im))) (- (exp (* -2 im)) 1) (* -2 im) (exp (neg im)) (neg im) (* (sinh (neg im)) (cos re)) (sinh (neg im)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) 2)
4.0ms
im
@inf
((* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (* (- (exp (- 0 im)) (exp im)) (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (* im im) -1/3) -2) im) (+ (* (* im im) -1/3) -2) (* im im) im -1/3 -2 (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* -1 im)) 1 (* -1 im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (/ (- (exp (* -2 im)) 1) (exp (neg im))) (- (exp (* -2 im)) 1) (* -2 im) (exp (neg im)) (neg im) (* (sinh (neg im)) (cos re)) (sinh (neg im)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) 2)
4.0ms
im
@-inf
((* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (* (- (exp (- 0 im)) (exp im)) (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (* im im) -1/3) -2) im) (+ (* (* im im) -1/3) -2) (* im im) im -1/3 -2 (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* -1 im)) 1 (* -1 im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (/ (- (exp (* -2 im)) 1) (exp (neg im))) (- (exp (* -2 im)) 1) (* -2 im) (exp (neg im)) (neg im) (* (sinh (neg im)) (cos re)) (sinh (neg im)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) 2)
3.0ms
re
@inf
((* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (* (- (exp (- 0 im)) (exp im)) (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (* im im) -1/3) -2) im) (+ (* (* im im) -1/3) -2) (* im im) im -1/3 -2 (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* -1 im)) 1 (* -1 im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (/ (- (exp (* -2 im)) 1) (exp (neg im))) (- (exp (* -2 im)) 1) (* -2 im) (exp (neg im)) (neg im) (* (sinh (neg im)) (cos re)) (sinh (neg im)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) 2)
2.0ms
re
@-inf
((* (* (- (exp (- 0 im)) (exp im)) (cos re)) 1/2) (* (- (exp (- 0 im)) (exp im)) (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (* im im) -1/3) -2) im) (+ (* (* im im) -1/3) -2) (* im im) im -1/3 -2 (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* -1 im)) 1 (* -1 im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (/ (- (exp (* -2 im)) 1) (exp (neg im))) (- (exp (* -2 im)) 1) (* -2 im) (exp (neg im)) (neg im) (* (sinh (neg im)) (cos re)) (sinh (neg im)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) 2)

rewrite303.0ms (5.5%)

Memory
21.1MiB live, 492.3MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050286
076279
1303252
21107228
36062228
08055225
119348225
Stop Event
saturated
node-limit
iter-limit
Counts
39 → 1 211
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
(*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
(-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) im)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im))))
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))
(expm1.f64 (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
(exp.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sinh.f64 (neg.f64 im))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (cos.f64 re))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(*.f64 (*.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))))
(*.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(fma.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 1 binary64)) im)
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 im))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (neg.f64 im)) #s(literal -1 binary64))
(*.f64 (neg.f64 im) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(*.f64 im (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))
(neg.f64 (*.f64 (neg.f64 im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (neg.f64 im)))
(neg.f64 (*.f64 im (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 1 binary64)) im (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 1 binary64)) im (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 im) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 0 binary64)))
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(fma.f64 (cosh.f64 im) #s(literal 1/2 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (sinh.f64 im) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64))) (cosh.f64 (/.f64 im #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 im #s(literal 2 binary64))) (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 im) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (sinh.f64 im) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (sinh.f64 (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 0 binary64))) (cosh.f64 im)) (*.f64 (cosh.f64 (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 0 binary64))) (sinh.f64 (neg.f64 im))))
(-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) (cosh.f64 im)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) (sinh.f64 (neg.f64 im))))
(-.f64 (*.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) im)) (cosh.f64 #s(literal 1 binary64))) (*.f64 (cosh.f64 (-.f64 #s(literal 1 binary64) im)) (sinh.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (-.f64 #s(literal 1 binary64) (neg.f64 im)))) (*.f64 (cosh.f64 #s(literal 1 binary64)) (sinh.f64 (-.f64 #s(literal 1 binary64) (neg.f64 im)))))
(-.f64 (*.f64 (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (+.f64 #s(literal 1 binary64) im))) (*.f64 (cosh.f64 #s(literal 1 binary64)) (sinh.f64 (+.f64 #s(literal 1 binary64) im))))
(-.f64 (/.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (exp.f64 im) (cosh.f64 im)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)))
(-.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(-.f64 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (sinh.f64 im))
(+.f64 (*.f64 (sinh.f64 (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 0 binary64))) (cosh.f64 im)) (*.f64 (cosh.f64 (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 0 binary64))) (sinh.f64 im)))
(+.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) (cosh.f64 im)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) (sinh.f64 im)))
(+.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (sinh.f64 im)))
(+.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (sinh.f64 im)) (*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (cosh.f64 im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))) (*.f64 (sinh.f64 im) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sinh.f64 im) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 im) (cosh.f64 im)) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
(+.f64 (/.f64 (cosh.f64 im) #s(literal -2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) #s(literal -2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (/.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(+.f64 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 re re) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) (neg.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 re) re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 re) re) #s(literal 1 binary64))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 re re) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 re)) (neg.f64 re))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 re)) (fabs.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (neg.f64 re))
(*.f64 (*.f64 #s(literal -1/2 binary64) re) re)
(*.f64 (*.f64 (neg.f64 re) re) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 re re))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 re re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 re) re))
(*.f64 re (*.f64 #s(literal -1/2 binary64) re))
(neg.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 re) re))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
#s(literal 2 binary64)

eval160.0ms (2.9%)

Memory
40.0MiB live, 313.1MiB allocated; 32ms collecting garbage
Compiler

Compiled 10 139 to 4 747 computations (53.2% saved)

prune83.0ms (1.5%)

Memory
-19.0MiB live, 119.2MiB allocated; 27ms collecting garbage
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1 109121 121
Fresh358
Picked415
Done112
Total1 117191 136
Accuracy
99.9%
Counts
1 136 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.6%
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
52.1%
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
62.0%
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(approx (+ (* (* im im) -1/3) -2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))) im)) (cos.f64 re)) #s(literal 1/2 binary64))
56.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
63.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
26.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal -2 binary64))))
42.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
48.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
46.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
5.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
42.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (sqrt.f64 (exp.f64 (+.f64 im im))))))
25.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
5.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
42.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
64.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))))
64.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
27.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
35.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
Compiler

Compiled 759 to 747 computations (1.6% saved)

series45.0ms (0.8%)

Memory
-25.0MiB live, 95.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121217
Stop Event
iter-limit
Counts
30 → 64
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (neg.f64 im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im)))
(*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))
(expm1.f64 (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im)))
(-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
(cosh.f64 im)
(sinh.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (neg (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (neg (* im (cos re))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
#s(approx (neg (* im (cos re))) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) im))) im))
#s(approx (neg (* im (cos re))) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) im))) (*.f64 #s(literal -1/2 binary64) im))) im))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (neg (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) im))) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 2/3 binary64) im) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* 1/2 (* (- (exp (* -2 im)) 1) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))))
#s(approx (* (- (exp (* -2 im)) 1) (exp im)) (*.f64 (exp.f64 im) (expm1.f64 (*.f64 #s(literal -2 binary64) im))))
#s(approx (- (exp (* -2 im)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))
#s(approx (* 1/2 (- (- (exp (neg im)) (cosh im)) (sinh im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (- (- (exp (neg im)) (cosh im)) (sinh im)) (-.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (- (exp (neg im)) (cosh im)) (-.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (- 1 im) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))
#s(approx (cosh im) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (* 1/2 (- (- (exp (neg im)) (cosh im)) (sinh im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (- (- (exp (neg im)) (cosh im)) (sinh im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (- (exp (neg im)) (cosh im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (- 1 im) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
im
@inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) im (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg (* im (cos re))) (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (* (- (exp (* -2 im)) 1) (exp im))) (* (- (exp (* -2 im)) 1) (exp im)) (- (exp (* -2 im)) 1) (* -2 im) -2 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (- (exp (neg im)) (cosh im)) (sinh im))) (- (- (exp (neg im)) (cosh im)) (sinh im)) (- (exp (neg im)) (cosh im)) (exp (neg im)) (- 1 im) (cosh im) (sinh im))
5.0ms
im
@-inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) im (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg (* im (cos re))) (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (* (- (exp (* -2 im)) 1) (exp im))) (* (- (exp (* -2 im)) 1) (exp im)) (- (exp (* -2 im)) 1) (* -2 im) -2 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (- (exp (neg im)) (cosh im)) (sinh im))) (- (- (exp (neg im)) (cosh im)) (sinh im)) (- (exp (neg im)) (cosh im)) (exp (neg im)) (- 1 im) (cosh im) (sinh im))
2.0ms
im
@0
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) im (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg (* im (cos re))) (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (* (- (exp (* -2 im)) 1) (exp im))) (* (- (exp (* -2 im)) 1) (exp im)) (- (exp (* -2 im)) 1) (* -2 im) -2 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (- (exp (neg im)) (cosh im)) (sinh im))) (- (- (exp (neg im)) (cosh im)) (sinh im)) (- (exp (neg im)) (cosh im)) (exp (neg im)) (- 1 im) (cosh im) (sinh im))
1.0ms
re
@-inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) im (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg (* im (cos re))) (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (* (- (exp (* -2 im)) 1) (exp im))) (* (- (exp (* -2 im)) 1) (exp im)) (- (exp (* -2 im)) 1) (* -2 im) -2 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (- (exp (neg im)) (cosh im)) (sinh im))) (- (- (exp (neg im)) (cosh im)) (sinh im)) (- (exp (neg im)) (cosh im)) (exp (neg im)) (- 1 im) (cosh im) (sinh im))
1.0ms
re
@inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) im (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg (* im (cos re))) (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (* (- (exp (* -2 im)) 1) (exp im))) (* (- (exp (* -2 im)) 1) (exp im)) (- (exp (* -2 im)) 1) (* -2 im) -2 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (- (exp (neg im)) (cosh im)) (sinh im))) (- (- (exp (neg im)) (cosh im)) (sinh im)) (- (exp (neg im)) (cosh im)) (exp (neg im)) (- 1 im) (cosh im) (sinh im))

rewrite294.0ms (5.4%)

Memory
24.4MiB live, 459.4MiB allocated; 93ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042244
062218
1263193
2915190
37331190
08108190
119724190
Stop Event
saturated
node-limit
iter-limit
Counts
30 → 1 071
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (neg.f64 im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im)))
(*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))
(expm1.f64 (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im)))
(-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
(cosh.f64 im)
(sinh.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64))) (cosh.f64 (/.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 im #s(literal 2 binary64))) (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(*.f64 (exp.f64 im) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
(*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
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(fma.f64 (cosh.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) #s(literal 0 binary64))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(sqrt.f64 (/.f64 (+.f64 (cosh.f64 (fma.f64 (neg.f64 im) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (+.f64 (cosh.f64 (fma.f64 #s(literal 2 binary64) im #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (+.f64 (cosh.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (*.f64 (cosh.f64 (-.f64 #s(literal 1 binary64) im)) (cosh.f64 #s(literal -1 binary64))) (*.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) im)) (sinh.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 (-.f64 im #s(literal -1 binary64)))) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 (-.f64 im #s(literal -1 binary64)))))
(-.f64 (*.f64 (cosh.f64 (-.f64 im #s(literal -1 binary64))) (cosh.f64 #s(literal -1 binary64))) (*.f64 (sinh.f64 (-.f64 im #s(literal -1 binary64))) (sinh.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 (-.f64 #s(literal 1 binary64) im))) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 (-.f64 #s(literal 1 binary64) im))))
(-.f64 (/.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(-.f64 (cosh.f64 im) #s(literal 0 binary64))
(+.f64 (*.f64 (cosh.f64 (-.f64 im #s(literal 1 binary64))) (cosh.f64 #s(literal -1 binary64))) (*.f64 (sinh.f64 (-.f64 im #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (cosh.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 im #s(literal 2 binary64))) (cosh.f64 (/.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 im #s(literal 2 binary64))) (cosh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64))) (sinh.f64 (/.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 im #s(literal 2 binary64))) (sinh.f64 (/.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -2 binary64)))
(*.f64 (sinh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 im))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (sinh.f64 (fma.f64 #s(literal 2 binary64) im #s(literal 0 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (fma.f64 #s(literal 2 binary64) im #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (sinh.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 0 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (expm1.f64 (+.f64 im im)) #s(literal 1/2 binary64)) (exp.f64 im))
(/.f64 (-.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (expm1.f64 (+.f64 im im)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 im)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 im))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -2 binary64))
(sinh.f64 im)
(neg.f64 (*.f64 #s(literal -1 binary64) (sinh.f64 im)))
(neg.f64 (sinh.f64 (neg.f64 im)))
(fma.f64 (sinh.f64 (-.f64 im #s(literal 1 binary64))) (cosh.f64 #s(literal -1 binary64)) (*.f64 (cosh.f64 (-.f64 im #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 im #s(literal 2 binary64))) (cosh.f64 (/.f64 im #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 im #s(literal 2 binary64))) (cosh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64))) (sinh.f64 (/.f64 im #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 im #s(literal 2 binary64))) (sinh.f64 (/.f64 im #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (sinh.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 im) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (neg.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)))
(-.f64 (*.f64 (sinh.f64 (-.f64 im #s(literal -1 binary64))) (cosh.f64 #s(literal -1 binary64))) (*.f64 (cosh.f64 (-.f64 im #s(literal -1 binary64))) (sinh.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (-.f64 #s(literal 1 binary64) im))) (*.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 (-.f64 #s(literal 1 binary64) im))))
(-.f64 (/.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(-.f64 (/.f64 (-.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(-.f64 (/.f64 (cosh.f64 im) #s(literal -2 binary64)) (/.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64)))
(-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(-.f64 (sinh.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im)))
(+.f64 (*.f64 (sinh.f64 (-.f64 im #s(literal 1 binary64))) (cosh.f64 #s(literal -1 binary64))) (*.f64 (cosh.f64 (-.f64 im #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64))))
(+.f64 (/.f64 (-.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal -2 binary64)) (/.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) #s(literal -2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)))
(+.f64 (sinh.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sinh.f64 im))

eval190.0ms (3.5%)

Memory
-10.5MiB live, 313.2MiB allocated; 195ms collecting garbage
Compiler

Compiled 9 024 to 4 042 computations (55.2% saved)

prune36.0ms (0.7%)

Memory
-7.7MiB live, 87.0MiB allocated; 11ms collecting garbage
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New9793982
Fresh21012
Picked145
Done022
Total982191 001
Accuracy
99.9%
Counts
1 001 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.6%
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
52.1%
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
62.0%
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(approx (+ (* (* im im) -1/3) -2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))) im)) (cos.f64 re)) #s(literal 1/2 binary64))
56.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
63.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
26.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal -2 binary64))))
42.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
48.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
46.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
11.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
25.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
5.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
42.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
5.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
64.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))))
64.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
27.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
35.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (neg (* im (cos re))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im)))
Compiler

Compiled 691 to 580 computations (16.1% saved)

regimes61.0ms (1.1%)

Memory
9.9MiB live, 103.1MiB allocated; 16ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (neg (* im (cos re))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal -2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im #s(approx (- (* -1/3 (pow im 2)) 2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(approx (+ (* (* im im) -1/3) -2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))) im)) (cos.f64 re)) #s(literal 1/2 binary64))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
Calls

6 calls:

17.0ms
(cos.f64 re)
12.0ms
re
9.0ms
im
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
99.9%1(cos.f64 re)
99.9%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
99.9%1re
99.9%1im
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes41.0ms (0.7%)

Memory
24.9MiB live, 70.1MiB allocated; 4ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (neg (* im (cos re))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal -2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Calls

6 calls:

8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
7.0ms
re
7.0ms
im
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
86.1%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
81.1%3(cos.f64 re)
81.1%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.4%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
74.3%2re
86.1%2im
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes35.0ms (0.6%)

Memory
-25.6MiB live, 63.9MiB allocated; 10ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (neg (* im (cos re))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal -2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Calls

5 calls:

9.0ms
(cos.f64 re)
8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
6.0ms
im
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
79.2%2(cos.f64 re)
79.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
64.7%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
66.6%2im
79.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes13.0ms (0.2%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
Calls

4 calls:

3.0ms
re
3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(cos.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
64.7%1re
73.0%2(cos.f64 re)
73.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
72.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 18 to 21 computations (-16.7% saved)

regimes20.0ms (0.4%)

Memory
-27.6MiB live, 21.3MiB allocated; 13ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
Calls

4 calls:

12.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
im
3.0ms
(cos.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
64.7%1im
64.7%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
64.7%1(cos.f64 re)
64.7%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 18 to 21 computations (-16.7% saved)

regimes9.0ms (0.2%)

Memory
19.1MiB live, 19.0MiB allocated; 0ms collecting garbage
Accuracy

Total -14.5b remaining (-31.3%)

Threshold costs -14.5b (-31.3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
Calls

6 calls:

1.0ms
im
1.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
27.7%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
27.7%1(cos.f64 re)
27.7%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
27.7%1re
27.7%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
27.7%1im
Compiler

Compiled 25 to 30 computations (-20% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.207080709103828e-7
+inf
0.0ms
-0.31142000699107986
-0.0009811214681855085
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.748080457754063e-9
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch17.0ms (0.3%)

Memory
-22.4MiB live, 23.0MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
0.014528528125078646
0.030440715297385203
Samples
3.0ms25×1valid
3.0ms2valid
2.0ms46×0valid
Compiler

Compiled 215 to 221 computations (-2.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 5.0ms (78.9% of total)
adjust: 1.0ms (15.8% of total)
ival-sub!: 1.0ms (15.8% of total)
ival-mult!: 1.0ms (15.8% of total)

derivations189.0ms (3.5%)

Memory
15.9MiB live, 206.9MiB allocated; 16ms collecting garbage
Stop Event
fuel
Compiler

Compiled 98 to 66 computations (32.7% saved)

preprocess143.0ms (2.6%)

Memory
-23.4MiB live, 227.8MiB allocated; 41ms collecting garbage
Remove

(negabs im)

(abs re)

Compiler

Compiled 1 027 to 859 computations (16.4% saved)

end0.0ms (0%)

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

Profiling

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