math.sin on complex, imaginary part

Time bar (total: 15.8s)

start0.0ms (0.0%)

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

analyze1.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample2.4s (14.9%)

Memory
61.4MiB live, 2 764.8MiB allocated; 744ms collecting garbage
Samples
850.0ms1 644×2valid
681.0ms2 364×1valid
479.0ms4 248×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-exp: 1.0s (62.2% of total)
ival-cos: 255.0ms (15.9% of total)
adjust: 151.0ms (9.4% of total)
ival-mult!: 116.0ms (7.2% of total)
ival-sub!: 85.0ms (5.3% of total)
Bogosity

preprocess72.0ms (0.5%)

Memory
-35.3MiB live, 70.2MiB allocated; 43ms 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
54.8%
(*.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 24 to 22 computations (8.3% saved)

series22.0ms (0.1%)

Memory
42.9MiB live, 42.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179687
Stop Event
iter-limit
Counts
11 → 38
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 0 binary64)
im
(-.f64 #s(literal 0 binary64) im)
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 im)
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
#s(approx re re)
#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 (* 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 (* (* 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))) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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 (cos re) (cos.f64 re))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (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 im im)
#s(approx (- 0 im) (*.f64 #s(literal -1 binary64) im))
#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 (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 #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 (* (* 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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.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 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
Calls

6 calls:

TimeVariablePoint
2.0ms
im
0
1.0ms
re
inf
1.0ms
im
-inf
1.0ms
im
inf
1.0ms
re
-inf

rewrite193.0ms (1.2%)

Memory
-32.4MiB live, 299.5MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01138
01834
18332
232827
3188327
0477127
Stop Event
iter-limit
node-limit
iter-limit
Counts
11 → 611
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 0 binary64)
im
(-.f64 #s(literal 0 binary64) im)
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 im)
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
#s(literal 1/2 binary64)
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) (sin.f64 (-.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) re)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (-.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(sin.f64 (-.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re))
(-.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)))
(-.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 re)))))
(cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 (fabs.f64 re))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 re))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (neg.f64 (cos.f64 re)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 2 binary64))
(/.f64 (cos.f64 re) #s(literal 2 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (neg.f64 (sin.f64 re)) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 0 binary64) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 1 binary64) (cos.f64 re) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 0 binary64) (sin.f64 re) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (cos.f64 re) #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
im
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 im))) (neg.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (+.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (+.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (+.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (-.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (-.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (-.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 im))
(/.f64 (+.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 im) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 im im) (*.f64 #s(literal 0 binary64) im))))
(neg.f64 im)
(-.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 im)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 im)))) (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 im)))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 (neg.f64 im)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 im)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 im im))) (exp.f64 im))
(/.f64 (+.f64 (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 im)) #s(literal 1 binary64)) (exp.f64 im))
(/.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)))) (-.f64 (cosh.f64 im) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(/.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (-.f64 (cosh.f64 im) (exp.f64 im))) (*.f64 (sinh.f64 im) (sinh.f64 im))) (+.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (-.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))) (*.f64 (cosh.f64 im) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (-.f64 (cosh.f64 im) (exp.f64 im))) (+.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64))) (exp.f64 im))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)) (neg.f64 (exp.f64 im)))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) (-.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (+.f64 (exp.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(134-z0z1z2z3z4 #s(literal -2 binary64) (sinh.f64 (+.f64 im #s(literal 1 binary64))) (cosh.f64 #s(literal -1 binary64)) (cosh.f64 (+.f64 im #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64)))
(134-z0z1z2z3z4 #s(literal 2 binary64) (sinh.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64))) (cosh.f64 #s(literal -1 binary64)) (cosh.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64)))
(134-z0z1z2z3z4 #s(literal 2 binary64) (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (-.f64 #s(literal 1 binary64) (neg.f64 im))) (cosh.f64 #s(literal -1 binary64)) (sinh.f64 (-.f64 #s(literal 1 binary64) (neg.f64 im))))
(134-z0z1z2z3z4 #s(literal 2 binary64) (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (+.f64 #s(literal 1 binary64) im)) (cosh.f64 #s(literal -1 binary64)) (sinh.f64 (+.f64 #s(literal 1 binary64) im)))
(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(-.f64 (+.f64 (neg.f64 (exp.f64 im)) (cosh.f64 im)) (sinh.f64 im))
(-.f64 (-.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)) (cosh.f64 im))
(-.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im))
(-.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 (neg.f64 im))))
(-.f64 (sinh.f64 (neg.f64 im)) (-.f64 (exp.f64 im) (cosh.f64 im)))
(-.f64 (cosh.f64 im) (-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(-.f64 (cosh.f64 im) (-.f64 (sinh.f64 im) (neg.f64 (exp.f64 im))))
(-.f64 (cosh.f64 im) (+.f64 (sinh.f64 im) (exp.f64 im)))
(-.f64 (cosh.f64 im) (neg.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (+.f64 (neg.f64 (exp.f64 im)) (cosh.f64 im)) (sinh.f64 (neg.f64 im)))
(+.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (cosh.f64 im))
(+.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 (neg.f64 im)))
(+.f64 (neg.f64 (cosh.f64 im)) (+.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(+.f64 (neg.f64 (cosh.f64 im)) (neg.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))
(+.f64 (sinh.f64 (neg.f64 im)) (-.f64 (cosh.f64 im) (exp.f64 im)))
(+.f64 (cosh.f64 im) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (cos.f64 re)) #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 (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 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (cos.f64 re)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (cos.f64 re)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (cos.f64 re)))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (cos.f64 re)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (sinh.f64 im)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (cos.f64 re)) #s(literal 2 binary64))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (-.f64 im #s(literal 1 binary64))) (E.f64) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (-.f64 im #s(literal 1 binary64))) (E.f64) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (-.f64 im #s(literal 1 binary64))) (E.f64) (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64) (exp.f64 im) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64) (exp.f64 im) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im) #s(literal 1 binary64) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im) #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (neg.f64 (sin.f64 re)) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (sin.f64 re) #s(literal 0 binary64) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) (cos.f64 re) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) (sin.f64 re) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (cos.f64 re) #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (exp.f64 (-.f64 im #s(literal 1 binary64))) (E.f64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 1 binary64) (exp.f64 im))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (exp.f64 im) #s(literal 1 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 (-.f64 im #s(literal 1 binary64))) (E.f64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im) #s(literal 1 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 (-.f64 im #s(literal 1 binary64))) (E.f64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 im))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im) #s(literal 1 binary64))
(134-z0z1z2z3z4 (cos.f64 re) (sinh.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64))) (cosh.f64 #s(literal -1 binary64)) (cosh.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64)))
(134-z0z1z2z3z4 (cos.f64 re) (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (-.f64 #s(literal 1 binary64) (neg.f64 im))) (cosh.f64 #s(literal -1 binary64)) (sinh.f64 (-.f64 #s(literal 1 binary64) (neg.f64 im))))
(134-z0z1z2z3z4 (cos.f64 re) (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (+.f64 #s(literal 1 binary64) im)) (cosh.f64 #s(literal -1 binary64)) (sinh.f64 (+.f64 #s(literal 1 binary64) im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (exp.f64 im) (cos.f64 re))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) (exp.f64 im) (cos.f64 re))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) (cos.f64 re) (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) (cos.f64 re) (exp.f64 im) (cos.f64 re))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (cos.f64 re) (exp.f64 (neg.f64 im)) (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (cos.f64 re) (exp.f64 (neg.f64 im)) (exp.f64 im) (cos.f64 re))
(neg.f64 (*.f64 (sinh.f64 im) (cos.f64 re)))
(-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 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))))
(+.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 (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))))
(+.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))

eval2.3s (14.6%)

Memory
52.2MiB live, 3 533.1MiB allocated; 686ms collecting garbage
Samples
856.0ms13 482×0invalid
809.0ms14 325×0valid
170.0ms1 633×1valid
Compiler

Compiled 13 670 to 2 421 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-mult!: 499.0ms (77.8% of total)
ival-sub!: 90.0ms (14.0% of total)
adjust: 52.0ms (8.1% of total)

prune12.0ms (0.1%)

Memory
-19.0MiB live, 27.0MiB allocated; 5ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New6382640
Fresh000
Picked101
Done000
Total6392641
Accuracy
100.0%
Counts
641 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
51.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
Compiler

Compiled 25 to 22 computations (12.0% saved)

series23.0ms (0.1%)

Memory
-2.7MiB live, 44.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0194850
Stop Event
iter-limit
Counts
10 → 35
Calls
Call 1
Inputs
re
im
#s(literal -1 binary64)
(cos.f64 re)
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(neg.f64 im)
(sinh.f64 (neg.f64 im))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
Outputs
#s(approx re re)
#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 (* 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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.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)))))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal -1 binary64) im) (*.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)))))
#s(approx (* -1 (* im (cos re))) (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) im) (*.f64 #s(literal 1/720 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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 (* (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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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) (cos.f64 re))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (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 (* (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 (* (* 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 (* (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)))))))
Calls

6 calls:

TimeVariablePoint
2.0ms
re
0
2.0ms
im
-inf
2.0ms
im
inf
2.0ms
re
inf
2.0ms
im
0

rewrite160.0ms (1.0%)

Memory
8.7MiB live, 295.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01945
02542
110337
240037
3237337
0400437
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 265
Calls
Call 1
Inputs
re
im
#s(literal -1 binary64)
(cos.f64 re)
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(neg.f64 im)
(sinh.f64 (neg.f64 im))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
Outputs
re
im
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) (-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (-.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(sin.f64 (-.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (cos.f64 re)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(134-z0z1z2z3z4 im (sin.f64 re) #s(literal 0 binary64) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 im (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(134-z0z1z2z3z4 im (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 im (sin.f64 re) #s(literal 0 binary64) #s(literal -1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (sin.f64 re) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (sin.f64 re) #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) im))
(+.f64 (*.f64 im (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 im (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 re)) (*.f64 (cos.f64 re) im))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) im) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) im))
(+.f64 (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(+.f64 (*.f64 (cos.f64 re) im) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (*.f64 (cos.f64 re) im) #s(literal -1 binary64))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))
(*.f64 im (neg.f64 (cos.f64 re)))
(134-z0z1z2z3z4 (neg.f64 im) (sin.f64 re) #s(literal 0 binary64) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (neg.f64 im) (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(134-z0z1z2z3z4 (neg.f64 im) (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 (neg.f64 im) (sin.f64 re) #s(literal 0 binary64) #s(literal -1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 (neg.f64 im) #s(literal 0 binary64) (sin.f64 re) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (neg.f64 im) #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(134-z0z1z2z3z4 (neg.f64 im) #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 (neg.f64 im) #s(literal 0 binary64) (sin.f64 re) #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) im)))
(neg.f64 (*.f64 (neg.f64 im) (neg.f64 (cos.f64 re))))
(neg.f64 (*.f64 (neg.f64 (cos.f64 re)) (neg.f64 im)))
(neg.f64 (*.f64 (*.f64 (cos.f64 re) im) #s(literal 1 binary64)))
(neg.f64 (*.f64 (cos.f64 re) im))
(+.f64 (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (*.f64 (neg.f64 im) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (neg.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 im)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (neg.f64 im)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 im))) (neg.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 im))
(/.f64 (+.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 im) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 im im) (*.f64 #s(literal 0 binary64) im))))
(neg.f64 im)
(-.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 im)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.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 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) #s(literal 0 binary64))) #s(literal 0 binary64))
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(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -1 binary64) (neg.f64 (exp.f64 im)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -1 binary64) (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -1 binary64) (neg.f64 (exp.f64 im)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -1 binary64) (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im) #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im) #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im) #s(literal 1 binary64) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(134-z0z1z2z3z4 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (neg.f64 (cos.f64 re)) (sinh.f64 (+.f64 im #s(literal 1 binary64))) (cosh.f64 #s(literal 1 binary64)) (cosh.f64 (+.f64 im #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64)))
(134-z0z1z2z3z4 (neg.f64 (cos.f64 re)) (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (-.f64 #s(literal 1 binary64) im)) (cosh.f64 #s(literal 1 binary64)) (sinh.f64 (-.f64 #s(literal 1 binary64) im)))
(134-z0z1z2z3z4 (neg.f64 (cos.f64 re)) (exp.f64 im) #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(134-z0z1z2z3z4 (neg.f64 (cos.f64 re)) (exp.f64 im) #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (sin.f64 re) #s(literal 0 binary64) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) (sin.f64 re) #s(literal 0 binary64) #s(literal -1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) (sin.f64 re) (neg.f64 (cos.f64 re)) #s(literal 1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) #s(literal -1 binary64))
(134-z0z1z2z3z4 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) (sin.f64 re) #s(literal -1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 (cos.f64 re) (sinh.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64))) (cosh.f64 #s(literal 1 binary64)) (cosh.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64)))
(134-z0z1z2z3z4 (cos.f64 re) (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (-.f64 #s(literal 1 binary64) (neg.f64 im))) (cosh.f64 #s(literal 1 binary64)) (sinh.f64 (-.f64 #s(literal 1 binary64) (neg.f64 im))))
(134-z0z1z2z3z4 (cos.f64 re) (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (+.f64 #s(literal 1 binary64) im)) (cosh.f64 #s(literal 1 binary64)) (sinh.f64 (+.f64 #s(literal 1 binary64) im)))
(134-z0z1z2z3z4 (cos.f64 re) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (exp.f64 im) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (cos.f64 re) (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64) #s(literal 1 binary64) (exp.f64 im))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64) #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im) #s(literal 1 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 1 binary64) (exp.f64 im))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (exp.f64 im) #s(literal 1 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 im))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (exp.f64 im) (cos.f64 re))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (exp.f64 im) (cos.f64 re))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (cos.f64 re) (exp.f64 (neg.f64 im)) (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (cos.f64 re) (exp.f64 (neg.f64 im)) (exp.f64 im) (cos.f64 re))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) (cos.f64 re) (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(134-z0z1z2z3z4 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) (cos.f64 re) (exp.f64 im) (cos.f64 re))
(neg.f64 (*.f64 (sinh.f64 im) (cos.f64 re)))
(-.f64 (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(-.f64 (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 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 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) (sinh.f64 im)))
(+.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))))
(+.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 #s(literal 0 binary64) (cos.f64 re)) (*.f64 (neg.f64 (cos.f64 re)) (sinh.f64 im)))
(+.f64 (*.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))))
(+.f64 (/.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))

eval1.9s (12.0%)

Memory
64.4MiB live, 2 639.8MiB allocated; 531ms collecting garbage
Samples
785.0ms13 479×0valid
586.0ms10 482×0invalid
126.0ms1 383×1valid
Compiler

Compiled 5 865 to 996 computations (83.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 478.0ms
ival-mult!: 361.0ms (75.5% of total)
ival-sub!: 66.0ms (13.8% of total)
adjust: 51.0ms (10.7% of total)

prune8.0ms (0.0%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3106316
Fresh000
Picked202
Done-110
Total3117318
Accuracy
100.0%
Counts
318 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) (cos.f64 re))
100.0%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
72.0%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
51.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
33.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)))))
37.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
33.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
Compiler

Compiled 222 to 190 computations (14.4% saved)

series46.0ms (0.3%)

Memory
11.5MiB live, 60.7MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04111872
Stop Event
iter-limit
Counts
30 → 81
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
im
(sinh.f64 im)
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
re
(cos.f64 re)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) (cos.f64 re))
#s(literal -1 binary64)
#s(approx (* im (cos re)) 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 binary64) #s(approx (* im (cos re)) im)))
(neg.f64 (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(neg.f64 im)
(sinh.f64 (neg.f64 im))
#s(approx (cos re) #s(literal 1 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)
(sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re))
(*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)))))
Outputs
#s(approx re re)
#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 (* (/ 1 (/ 2 (* -2 (sinh im)))) (cos re)) (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (/ 1 (/ 2 (* -2 (sinh im)))) (cos re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (* (/ 1 (/ 2 (* -2 (sinh im)))) (cos re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (* (/ 1 (/ 2 (* -2 (sinh im)))) (cos re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.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)))))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal -1 binary64) im) (*.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)))))
#s(approx (* -1 (* im (cos re))) (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) im) (*.f64 #s(literal 1/720 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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 (cos re)) #s(literal -1 binary64))
#s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (cos re)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (neg (cos re)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
#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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (+ (* (PI) 1/2) re) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) re) (+.f64 re (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) re)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) re)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 re (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* (PI) 1/2) re)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 re (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 re (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* (PI) 1/2) re)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 re (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 re (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* im (sin (+ (* (PI) 1/2) re))) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* im (sin (+ (* (PI) 1/2) re))) (+.f64 (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 im (*.f64 re (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* im (sin (+ (* (PI) 1/2) re))) (+.f64 (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 re (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* im (sin (+ (* (PI) 1/2) re))) (+.f64 (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 re (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (* -1 (* im (sin (+ (* (PI) 1/2) re)))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* -1 (* im (sin (+ (* (PI) 1/2) re)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 re (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* -1 (* im (sin (+ (* (PI) 1/2) re)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (* -1 (* im (sin (+ (* (PI) 1/2) re)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 re (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (/ 1 (/ 2 (* -2 (sinh im)))) (cos re)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (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 (neg (cos re)) (*.f64 #s(literal -1 binary64) (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 (+ (* (PI) 1/2) re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) re)))))
#s(approx (sin (+ (* (PI) 1/2) re)) (sin.f64 (+.f64 re (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* im (sin (+ (* (PI) 1/2) re))) (*.f64 im (sin.f64 (+.f64 re (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* -1 (* im (sin (+ (* (PI) 1/2) re)))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (+.f64 re (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (+ (* (PI) 1/2) re) (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) re)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (PI) 1/2) re)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) re))))
#s(approx (* im (sin (+ (* (PI) 1/2) re))) (*.f64 im (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) re)))))
#s(approx (* -1 (* im (sin (+ (* (PI) 1/2) re)))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) re))))))
#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 (* -2 (sinh im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (* -2 (sinh im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* -2 (sinh 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 (* -2 (sinh 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 (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) im))
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -7/360 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 31/15120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 7/360 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ 1 (/ 2 (* -2 (sinh 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 (* -2 (sinh 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 (* -2 (sinh 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 (* (/ 1 (/ 2 (* -2 (sinh im)))) (cos re)) (*.f64 im (+.f64 (*.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 (* -2 (sinh im)))) (cos re)) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 (* -2 (sinh im)))) (cos re)) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* -2 (sinh im)) (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -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 (* (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)))))))
Calls

6 calls:

TimeVariablePoint
9.0ms
im
0
5.0ms
re
0
5.0ms
im
-inf
4.0ms
im
inf
3.0ms
re
inf

rewrite185.0ms (1.2%)

Memory
-12.9MiB live, 315.9MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039174
058152
1206124
2881124
04284124
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 1 006
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
im
(sinh.f64 im)
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
re
(cos.f64 re)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) (cos.f64 re))
#s(literal -1 binary64)
#s(approx (* im (cos re)) 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 binary64) #s(approx (* im (cos re)) im)))
(neg.f64 (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(neg.f64 im)
(sinh.f64 (neg.f64 im))
#s(approx (cos re) #s(literal 1 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)
(sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re))
(*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)))))
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
im
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))))
(*.f64 (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))))
(*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))))
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re
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(134-z0z1z2z3z4 (neg.f64 im) (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(134-z0z1z2z3z4 (neg.f64 im) #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(134-z0z1z2z3z4 (neg.f64 im) (cos.f64 re) #s(literal 1 binary64) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 (neg.f64 im) (cos.f64 re) #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 (neg.f64 im) (cos.f64 re) #s(literal 1 binary64) #s(literal 0 binary64) (sin.f64 re))
(134-z0z1z2z3z4 (neg.f64 im) #s(literal 1 binary64) (cos.f64 re) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 (neg.f64 im) #s(literal 1 binary64) (cos.f64 re) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 (neg.f64 im) #s(literal 1 binary64) (cos.f64 re) #s(literal 0 binary64) (sin.f64 re))
(134-z0z1z2z3z4 im (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)) #s(literal 0 binary64) (cos.f64 re) #s(literal 1 binary64))
(134-z0z1z2z3z4 im (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)) #s(literal 0 binary64) #s(literal 1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) #s(literal 0 binary64) (sin.f64 re))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (sin.f64 (fabs.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (neg.f64 (sin.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) #s(literal 0 binary64) (sin.f64 re))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) im)))
(neg.f64 (*.f64 (*.f64 (cos.f64 re) im) #s(literal 1 binary64)))
(neg.f64 (*.f64 (cos.f64 re) im))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (neg.f64 im) (*.f64 (sin.f64 re) #s(literal 0 binary64))))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))

eval3.7s (23.2%)

Memory
-870.1MiB live, 3 825.4MiB allocated; 2.7s collecting garbage
Samples
2.8s38 724×0valid
250.0ms4 284×0invalid
Compiler

Compiled 19 551 to 3 655 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 693.0ms
ival-mult!: 531.0ms (76.6% of total)
ival-sub!: 115.0ms (16.6% of total)
adjust: 48.0ms (6.9% of total)

prune17.0ms (0.1%)

Memory
37.1MiB live, 37.1MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New8908898
Fresh101
Picked505
Done-231
Total89411905
Accuracy
100.0%
Counts
905 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
51.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
100.0%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
72.0%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
51.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (+.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))
51.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) im))
51.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
31.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
31.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (PI.f64) re)) im))
37.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
33.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
Compiler

Compiled 360 to 301 computations (16.4% saved)

series52.0ms (0.3%)

Memory
-24.5MiB live, 67.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04412015
Stop Event
iter-limit
Counts
32 → 87
Calls
Call 1
Inputs
re
(cos.f64 re)
#s(literal -1 binary64)
im
(sinh.f64 im)
(/.f64 #s(literal -1 binary64) (sinh.f64 im))
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
#s(approx (* im (cos re)) im)
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(neg.f64 re)
(PI.f64)
(+.f64 (neg.f64 re) (PI.f64))
(cos.f64 (+.f64 (neg.f64 re) (PI.f64)))
(*.f64 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) im)
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
(sin.f64 re)
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) im))
Outputs
#s(approx re re)
#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 (/ (cos re) (/ -1 (sinh im))) (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (/ (cos re) (/ -1 (sinh im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (/ (cos re) (/ -1 (sinh im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (/ (cos re) (/ -1 (sinh im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.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)))))))
#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 (* (* 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))) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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 re) (*.f64 #s(literal -1 binary64) re))
#s(approx (+ (neg re) (PI)) (PI.f64))
#s(approx (+ (neg re) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) re)))
#s(approx (cos (+ (neg re) (PI))) (cos.f64 (PI.f64)))
#s(approx (cos (+ (neg re) (PI))) (+.f64 (cos.f64 (PI.f64)) (*.f64 re (sin.f64 (PI.f64)))))
#s(approx (cos (+ (neg re) (PI))) (+.f64 (cos.f64 (PI.f64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re (cos.f64 (PI.f64)))) (*.f64 #s(literal -1 binary64) (sin.f64 (PI.f64)))))))
#s(approx (cos (+ (neg re) (PI))) (+.f64 (cos.f64 (PI.f64)) (*.f64 re (-.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 re (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (sin.f64 (PI.f64)))))))
#s(approx (* (cos (+ (neg re) (PI))) im) (*.f64 im (cos.f64 (PI.f64))))
#s(approx (* (cos (+ (neg re) (PI))) im) (+.f64 (*.f64 im (cos.f64 (PI.f64))) (*.f64 im (*.f64 re (sin.f64 (PI.f64))))))
#s(approx (* (cos (+ (neg re) (PI))) im) (+.f64 (*.f64 im (cos.f64 (PI.f64))) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 re (cos.f64 (PI.f64))))) (*.f64 im (sin.f64 (PI.f64)))))))
#s(approx (* (cos (+ (neg re) (PI))) im) (+.f64 (*.f64 im (cos.f64 (PI.f64))) (*.f64 re (+.f64 (*.f64 im (sin.f64 (PI.f64))) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 re (sin.f64 (PI.f64)))))))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sin re) (cos (* -1/2 (PI)))) (*.f64 re (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (* (sin re) (cos (* -1/2 (PI)))) (*.f64 re (+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))
#s(approx (* (sin re) (cos (* -1/2 (PI)))) (*.f64 re (+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))))
#s(approx (* (sin re) (cos (* -1/2 (PI)))) (*.f64 re (+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/120 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))))))
#s(approx (* (cos re) (sin (* -1/2 (PI)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
#s(approx (* (cos re) (sin (* -1/2 (PI)))) (+.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
#s(approx (* (cos re) (sin (* -1/2 (PI)))) (+.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))))
#s(approx (* (cos re) (sin (* -1/2 (PI)))) (+.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/24 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))))
#s(approx (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI))))) (-.f64 (*.f64 re (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI))))) (-.f64 (*.f64 re (+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI))))) (-.f64 (*.f64 re (+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 re (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) (+.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (*.f64 re (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
#s(approx (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) (+.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
#s(approx (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) (+.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 re (-.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
#s(approx (* (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) im) (*.f64 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (* (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) im) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 re (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (*.f64 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
#s(approx (* (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) im) (+.f64 (*.f64 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 re (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))))
#s(approx (* (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) im) (+.f64 (*.f64 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 re (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (/ (cos re) (/ -1 (sinh im))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (neg (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (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 (+ (neg re) (PI)) (*.f64 re (-.f64 (/.f64 (PI.f64) re) #s(literal 1 binary64))))
#s(approx (cos (+ (neg re) (PI))) (cos.f64 (-.f64 (PI.f64) re)))
#s(approx (* (cos (+ (neg re) (PI))) im) (*.f64 im (cos.f64 (-.f64 (PI.f64) re))))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (sin re) (cos (* -1/2 (PI)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 re)))
#s(approx (* (cos re) (sin (* -1/2 (PI)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI))))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 re)) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
#s(approx (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) (-.f64 (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 re))))
#s(approx (* (neg (- (* (sin re) (cos (* -1/2 (PI)))) (* (cos re) (sin (* -1/2 (PI)))))) im) (*.f64 im (-.f64 (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 re)))))
#s(approx (+ (neg re) (PI)) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) re))))))
#s(approx (cos (+ (neg re) (PI))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) re))))
#s(approx (* (cos (+ (neg re) (PI))) im) (*.f64 im (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) re)))))
#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 (/ -1 (sinh im)) (/.f64 #s(literal -1 binary64) im))
#s(approx (/ -1 (sinh im)) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) im))
#s(approx (/ -1 (sinh im)) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -7/360 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ -1 (sinh im)) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 31/15120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 7/360 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ (cos re) (/ -1 (sinh im))) (*.f64 im (+.f64 (*.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 (/ (cos re) (/ -1 (sinh im))) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 (/ (cos re) (/ -1 (sinh im))) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 (/ 1 (/ 2 (* -2 (sinh 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 (* -2 (sinh 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 (* -2 (sinh 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 (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (/ -1 (sinh im)) (/.f64 #s(literal -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)))))
Calls

6 calls:

TimeVariablePoint
9.0ms
im
0
5.0ms
re
0
4.0ms
im
-inf
4.0ms
im
inf
4.0ms
re
inf

rewrite174.0ms (1.1%)

Memory
8.8MiB live, 297.2MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047239
070172
1269153
21198144
04199144
Stop Event
iter-limit
node-limit
iter-limit
Counts
32 → 1 162
Calls
Call 1
Inputs
re
(cos.f64 re)
#s(literal -1 binary64)
im
(sinh.f64 im)
(/.f64 #s(literal -1 binary64) (sinh.f64 im))
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
#s(approx (* im (cos re)) im)
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(neg.f64 re)
(PI.f64)
(+.f64 (neg.f64 re) (PI.f64))
(cos.f64 (+.f64 (neg.f64 re) (PI.f64)))
(*.f64 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) im)
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
(sin.f64 re)
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) im))
Outputs
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64)))) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (cos.f64 re)))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 re) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (neg.f64 (cos.f64 re)) (cos.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 re) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fabs.f64 re))) (sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fabs.f64 re)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 re) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (cos.f64 re) (cos.f64 (+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) re))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (cos.f64 re)) (cos.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (cos.f64 re) (cos.f64 (+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) re))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fabs.f64 re))) (sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fabs.f64 re)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (cos.f64 re) (cos.f64 (+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) re))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (-.f64 re (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 re (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (cos.f64 re)) (cos.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (-.f64 re (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 re (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fabs.f64 re))) (sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fabs.f64 re)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (-.f64 re (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 re (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (cos.f64 re)) (cos.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fabs.f64 re))) (sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fabs.f64 re)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.f64) re)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.f64) re)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (cos.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 (neg.f64 (-.f64 (PI.f64) re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 (neg.f64 (-.f64 (PI.f64) re)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 (fabs.f64 (-.f64 re (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 (fabs.f64 (-.f64 re (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
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(sin.f64 (+.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (-.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.f64) re)))
(sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re))
(-.f64 (*.f64 (neg.f64 (sin.f64 re)) (cos.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 re) (sin.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (cos.f64 re))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re))))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (neg.f64 (sin.f64 re)) (sin.f64 (neg.f64 (neg.f64 (PI.f64))))))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (cos.f64 re))
(cos.f64 (neg.f64 (-.f64 (neg.f64 re) (PI.f64))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 re (PI.f64))))))
(cos.f64 (neg.f64 (+.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (fabs.f64 re) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 re (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(cos.f64 (neg.f64 (-.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(cos.f64 (neg.f64 (-.f64 re (PI.f64))))
(cos.f64 (fabs.f64 (-.f64 (neg.f64 re) (PI.f64))))
(cos.f64 (fabs.f64 (+.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 (fabs.f64 re) (PI.f64))))
(cos.f64 (fabs.f64 (+.f64 re (PI.f64))))
(cos.f64 (fabs.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(cos.f64 (fabs.f64 (-.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(cos.f64 (+.f64 (neg.f64 (fabs.f64 re)) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (neg.f64 re)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (fabs.f64 (-.f64 re (PI.f64)))))
(cos.f64 (+.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fabs.f64 re) (PI.f64)))
(cos.f64 (-.f64 re (PI.f64)))
(cos.f64 (+.f64 re (PI.f64)))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(cos.f64 (-.f64 (-.f64 re (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(cos.f64 (-.f64 (neg.f64 re) (PI.f64)))
(cos.f64 (neg.f64 (-.f64 (PI.f64) re)))
(cos.f64 (fabs.f64 (-.f64 re (PI.f64))))
(cos.f64 (-.f64 (PI.f64) re))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 re))) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) re))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 (-.f64 re (PI.f64)))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re))) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
(+.f64 (neg.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64))) (neg.f64 (cos.f64 re)))
(+.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (neg.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (neg.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 im (neg.f64 (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) (sin.f64 (fabs.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) (neg.f64 (sin.f64 re)) (sin.f64 (neg.f64 (neg.f64 (PI.f64)))))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) (neg.f64 (sin.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re)))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 im (/.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 0 binary64) (sin.f64 re))
(134-z0z1z2z3z4 im (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64) (neg.f64 (cos.f64 re)) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(134-z0z1z2z3z4 im (neg.f64 (sin.f64 re)) (cos.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 re) (sin.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(134-z0z1z2z3z4 im (neg.f64 (sin.f64 re)) #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (cos.f64 re)))
(134-z0z1z2z3z4 im (neg.f64 (sin.f64 re)) #s(literal 0 binary64) #s(literal 1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 im (neg.f64 (sin.f64 re)) #s(literal 0 binary64) (neg.f64 (cos.f64 re)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(134-z0z1z2z3z4 im (neg.f64 (sin.f64 re)) #s(literal 0 binary64) (cos.f64 re) #s(literal 1 binary64))
(134-z0z1z2z3z4 im (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (cos.f64 re)))
(134-z0z1z2z3z4 im (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64) #s(literal 1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 im (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64) (neg.f64 (cos.f64 re)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(134-z0z1z2z3z4 im (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64) (cos.f64 re) #s(literal 1 binary64))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) (sin.f64 (fabs.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) (neg.f64 (sin.f64 re)) (sin.f64 (neg.f64 (neg.f64 (PI.f64)))))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) (neg.f64 (sin.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re)))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 im (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 re) #s(literal 0 binary64) (sin.f64 re))
(134-z0z1z2z3z4 im (sin.f64 re) #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (cos.f64 re)))
(134-z0z1z2z3z4 im (sin.f64 re) #s(literal 0 binary64) #s(literal 1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 im (sin.f64 re) #s(literal 0 binary64) (neg.f64 (cos.f64 re)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(134-z0z1z2z3z4 im (sin.f64 re) #s(literal 0 binary64) (cos.f64 re) #s(literal 1 binary64))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (neg.f64 (sin.f64 re)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (cos.f64 re)))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (neg.f64 (sin.f64 re)) #s(literal 1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (neg.f64 (sin.f64 re)) (neg.f64 (cos.f64 re)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (neg.f64 (sin.f64 re)) (cos.f64 re) #s(literal 1 binary64))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (sin.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (cos.f64 re)))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (sin.f64 re) #s(literal 1 binary64) (cos.f64 re))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (sin.f64 re) (neg.f64 (cos.f64 re)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(134-z0z1z2z3z4 im #s(literal 0 binary64) (sin.f64 re) (cos.f64 re) #s(literal 1 binary64))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) (sin.f64 (fabs.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) (neg.f64 (sin.f64 re)) (sin.f64 (neg.f64 (neg.f64 (PI.f64)))))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) (neg.f64 (sin.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re)))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 im #s(literal -1 binary64) (cos.f64 re) #s(literal 0 binary64) (sin.f64 re))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (fabs.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 re)) (sin.f64 (neg.f64 (neg.f64 (PI.f64)))))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re)))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 im (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 0 binary64) (sin.f64 re))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (sin.f64 (fabs.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (sin.f64 (-.f64 (PI.f64) re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (neg.f64 (sin.f64 re)) (sin.f64 (neg.f64 (neg.f64 (PI.f64)))))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (neg.f64 (sin.f64 re)) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (-.f64 (cos.f64 re) (cos.f64 re)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (sin.f64 re) #s(literal 0 binary64))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) #s(literal 0 binary64) (sin.f64 (-.f64 (PI.f64) re)))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) #s(literal 0 binary64) (sin.f64 re))
(neg.f64 (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 im)))

eval4.3s (27.2%)

Memory
198.5MiB live, 5 532.7MiB allocated; 876ms collecting garbage
Samples
3.0s58 586×0valid
301.0ms5 670×0invalid
Compiler

Compiled 34 355 to 4 672 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult!: 824.0ms (74.5% of total)
ival-sub!: 167.0ms (15.1% of total)
adjust: 114.0ms (10.3% of total)

prune46.0ms (0.3%)

Memory
-25.3MiB live, 75.4MiB allocated; 13ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1 24191 250
Fresh033
Picked505
Done-143
Total1 245161 261
Accuracy
100.0%
Counts
1 261 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(/.f64 (-.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (sinh.f64 im))) (*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
51.7%
(/.f64 (cos.f64 re) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im)))
37.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
33.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) #s(literal 1 binary64)))
100.0%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
72.0%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
51.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (neg.f64 (sin.f64 re)) (sin.f64 (neg.f64 (neg.f64 (PI.f64))))))
51.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (+.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))
33.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re)) im))
33.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re)) im))
51.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) #s(literal -1 binary64)))) im))
51.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
31.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (-.f64 (PI.f64) re)) im))
31.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (PI.f64) re)) im))
37.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
33.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
Samples
14.0ms256×0valid
Compiler

Compiled 318 to 264 computations (17.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 5.0ms (88.2% of total)
ival-sub!: 1.0ms (17.6% of total)
adjust: 0.0ms (0.0% of total)

regimes128.0ms (0.8%)

Memory
14.2MiB live, 202.1MiB allocated; 16ms collecting garbage
Counts
3 → 1
4 → 1
11 → 2
17 → 3
26 → 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)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) #s(literal 1 binary64)))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
Call 2
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)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Call 3
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)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) #s(literal 1 binary64)))
#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) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (PI.f64) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (-.f64 (PI.f64) re)) im))
#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 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re)) im))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Call 4
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)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) #s(literal 1 binary64)))
#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) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (PI.f64) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (-.f64 (PI.f64) re)) im))
#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 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.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 (cos.f64 re) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
Call 5
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)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) #s(literal 1 binary64)))
#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) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (PI.f64) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (-.f64 (PI.f64) re)) im))
#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 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.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 (cos.f64 re) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (+.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) #s(literal -1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (134-z0z1z2z3z4 im (cos.f64 re) #s(literal -1 binary64) (neg.f64 (sin.f64 re)) (sin.f64 (neg.f64 (neg.f64 (PI.f64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) im))
(/.f64 (-.f64 (*.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (sinh.f64 im))) (*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
Calls

25 calls:

11.0ms
im
8.0ms
(cos.f64 re)
8.0ms
(cos.f64 re)
7.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Results
AccuracySegmentsBranch
33.5%1im
33.5%1(cos.f64 re)
33.5%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
33.5%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
33.5%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
33.5%1re
51.9%1re
51.9%1(cos.f64 re)
51.9%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
51.9%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
51.9%1im
51.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
90.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
89.9%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
82.0%2(cos.f64 re)
82.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
97.1%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
77.8%2re
89.9%2im
100.0%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
100.0%1(cos.f64 re)
100.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
100.0%1re
100.0%1im
Samples
14.0ms256×0valid
Compiler

Compiled 624 to 266 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 4.0ms (83.2% of total)
ival-sub!: 1.0ms (20.8% of total)
adjust: 0.0ms (0.0% of total)

bsearch1.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
+inf
0.0ms
-0.0004244559887991439
-1.2939533888811638e-9
Compiler

Compiled 26 to 25 computations (3.8% saved)

bsearch0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0004244559887991439
-1.2939533888811638e-9
Compiler

Compiled 26 to 25 computations (3.8% saved)

derivations49.0ms (0.3%)

Memory
0.2MiB live, 46.5MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 167 to 47 computations (71.9% saved)

preprocess66.0ms (0.4%)

Memory
1.2MiB live, 94.6MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 118 to 647 computations (42.1% saved)

end0.0ms (0.0%)

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

Profiling

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