math.cos on complex, imaginary part

Time bar (total: 5.0s)

start0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze1.0ms (0.0%)

Memory
2.2MiB live, 2.2MiB 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 13 to 12 computations (7.7% saved)

sample2.7s (53.7%)

Memory
4.0MiB live, 5 641.9MiB allocated; 1.4s collecting garbage
Samples
827.0ms2 805×1valid
806.0ms1 226×2valid
771.0ms4 225×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-exp!: 970.0ms (54.7% of total, 1930.7 MiB)
ival-sin: 377.0ms (21.3% of total, 774.5 MiB)
ival-mult!: 184.0ms (10.4% of total, 404.9 MiB)
adjust: 145.0ms (8.2% of total, 382.6 MiB)
ival-sub!: 74.0ms (4.2% of total, 166.7 MiB)
ival-neg!: 23.0ms (1.3% of total, 82.8 MiB)
Bogosity

preprocess45.0ms (0.9%)

Memory
2.4MiB live, 49.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02668
19255
236934
3273534
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Symmetry

(negabs re)

(negabs im)

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
Outputs
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series15.0ms (0.3%)

Memory
3.3MiB live, 49.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187679
Stop Event
iter-limit
Counts
10 → 39
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
im
(neg.f64 im)
(exp.f64 (neg.f64 im))
(exp.f64 im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(approx 1/2 #s(literal 0 binary64))
(approx re re)
(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(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))))))
(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))))))
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
(approx (* 1/2 (sin re)) (*.f64 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 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 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))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))
(approx (sin re) (sin.f64 re))
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(approx im im)
(approx (neg im) (*.f64 #s(literal -1 binary64) im))
(approx (exp (neg im)) #s(literal 1 binary64))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(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)))))))
(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
(approx (exp im) (exp.f64 im))
(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
Calls

6 calls:

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

rewrite186.0ms (3.7%)

Memory
54.8MiB live, 323.5MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
01733
13631
212626
376526
0500126
0502326
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
10 → 443
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
im
(neg.f64 im)
(exp.f64 (neg.f64 im))
(exp.f64 im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
im
(neg.f64 im)
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 im)))) (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 im)))))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (*.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 im im)))) (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 im im)))) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)))) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 8 binary64))
(/.f64 (*.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
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(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))

reconstruct1.0ms (0.0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

eval89.0ms (1.8%)

Memory
-24.6MiB live, 121.5MiB allocated; 65ms collecting garbage
Compiler

Compiled 10 431 to 1 737 computations (83.3% saved)

prune14.0ms (0.3%)

Memory
-15.4MiB live, 34.1MiB allocated; 6ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4704474
Fresh000
Picked101
Done000
Total4714475
Accuracy
99.9%
Counts
475 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
46.3%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
58.3%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
Compiler

Compiled 35 to 21 computations (40.0% saved)

sample0.0ms (0.0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
-1
Outputs
#s(literal 1/2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series32.0ms (0.6%)

Memory
11.1MiB live, 100.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04251782
Stop Event
iter-limit
Counts
23 → 81
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
im
(neg.f64 im)
(exp.f64 (neg.f64 im))
(exp.f64 im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(literal 1/2 binary64) re)
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(literal -1 binary64)
(*.f64 im (sin.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(+.f64 im im)
(expm1.f64 (+.f64 im im))
(sinh.f64 (neg.f64 im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(approx 1/2 #s(literal 0 binary64))
(approx re re)
(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(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))))))
(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))))))
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
(approx (* 1/2 (sin re)) (*.f64 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 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
(approx (* im (sin re)) (*.f64 im re))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 #s(literal 1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) im))))))))
(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))))
(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 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))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))
(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal -1/12 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))))))))
(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 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)))))))))))
(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 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 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im))))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im))))))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im))))))))))
(approx (sin re) (sin.f64 re))
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im))))
(approx im im)
(approx (neg im) (*.f64 #s(literal -1 binary64) im))
(approx (exp (neg im)) #s(literal 1 binary64))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(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)))))))
(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
(approx (+ im im) (*.f64 #s(literal 2 binary64) im))
(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))
(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) im))))))
(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) im))))))))
(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
(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))))
(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))))
(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))))
(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 2 binary64))) #s(literal 2 binary64))))
(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -2/3 binary64) im) #s(literal 4/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 re)) (*.f64 #s(literal -1 binary64) (sin.f64 re))))))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -2/3 binary64) (sin.f64 re))) (fma.f64 #s(literal -4/3 binary64) (sin.f64 re) (*.f64 #s(literal -1/3 binary64) (sin.f64 re))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 re)) (*.f64 #s(literal -1 binary64) (sin.f64 re)))))))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 re)) (*.f64 #s(literal -1 binary64) (sin.f64 re))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (fma.f64 #s(literal -4/3 binary64) (sin.f64 re) (fma.f64 #s(literal -1/3 binary64) (sin.f64 re) (*.f64 #s(literal -4/15 binary64) (sin.f64 re)))) (fma.f64 #s(literal -1 binary64) (sin.f64 re) (fma.f64 #s(literal -2/3 binary64) (sin.f64 re) (fma.f64 #s(literal -1/12 binary64) (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 re)) (*.f64 #s(literal -1 binary64) (sin.f64 re))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -2/3 binary64) (sin.f64 re))) (fma.f64 #s(literal -4/3 binary64) (sin.f64 re) (*.f64 #s(literal -1/3 binary64) (sin.f64 re))))))))))))
(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
(approx (exp im) (exp.f64 im))
(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(approx (- (exp (+ im im)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) im)))
(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))
(approx (/ (neg (- (exp (+ im im)) 1)) (exp im)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)))
(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
(approx (- (exp (+ im im)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))
(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))))))
(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))
(approx (/ (neg (- (exp (+ im im)) 1)) (exp im)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))) (exp.f64 im)))
(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))) (exp.f64 im))))
Calls

6 calls:

TimeVariablePoint
5.0ms
im
0
2.0ms
im
inf
2.0ms
re
inf
2.0ms
im
-inf
2.0ms
re
-inf

rewrite129.0ms (2.6%)

Memory
5.7MiB live, 197.8MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030119
050108
1109100
237197
3279897
0405897
0415297
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 1 106
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
im
(neg.f64 im)
(exp.f64 (neg.f64 im))
(exp.f64 im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(literal 1/2 binary64) re)
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(literal -1 binary64)
(*.f64 im (sin.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(+.f64 im im)
(expm1.f64 (+.f64 im im))
(sinh.f64 (neg.f64 im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 re)) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (sin.f64 re) #s(literal 2 binary64))
im
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) im))
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 (+.f64 im im) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 im)))) (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 im)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (exp.f64 (neg.f64 im))))))
(*.f64 (fabs.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(pow.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (neg.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) im)
(pow.f64 (exp.f64 (*.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 #s(literal -1/2 binary64) im))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (exp.f64 (neg.f64 im))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 im))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 im))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))) (sqrt.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 im) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))) (sqrt.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fabs.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 im)))
(/.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 im))))
(/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 im))))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 im)))) (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 im)))) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (exp.f64 (neg.f64 im))))) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 im im))) (neg.f64 (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 im im))) (neg.f64 (exp.f64 (neg.f64 im))) (cosh.f64 im))
(fma.f64 (fabs.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(fma.f64 (/.f64 (expm1.f64 (+.f64 im im)) #s(literal -2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 (/.f64 (expm1.f64 (+.f64 im im)) #s(literal -2 binary64)) (exp.f64 (neg.f64 im)) (cosh.f64 im))
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(fma.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (cosh.f64 im) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im)))) (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im)))))
(fma.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)) (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)))
(fma.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (cosh.f64 im) (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(fma.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 (neg.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (exp.f64 im) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (neg.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im))))) (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im)))))
(+.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (cosh.f64 im)) (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(+.f64 (*.f64 (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (cosh.f64 im) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)))
(+.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))

reconstruct13.0ms (0.3%)

Memory
-22.9MiB live, 27.2MiB allocated; 11ms collecting garbage

eval161.0ms (3.2%)

Memory
5.8MiB live, 240.8MiB allocated; 76ms collecting garbage
Compiler

Compiled 21 893 to 3 469 computations (84.2% saved)

prune31.0ms (0.6%)

Memory
3.2MiB live, 95.9MiB allocated; 6ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 242131 255
Fresh000
Picked314
Done000
Total1 245141 259
Accuracy
100.0%
Counts
1 259 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.4%
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 im))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))))
56.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (exp.f64 im) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))) (sqrt.f64 #s(literal 2 binary64)))))
59.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
59.8%
(*.f64 (sinh.f64 (neg.f64 im)) (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
13.9%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
27.3%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (expm1.f64 (+.f64 im im)))))
20.9%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
45.8%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
58.3%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
36.9%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
33.6%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
36.9%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
Compiler

Compiled 304 to 131 computations (56.9% saved)

sample0.0ms (0.0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
0
1/2
1
2
-1
-2
Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal -2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series28.0ms (0.6%)

Memory
23.7MiB live, 78.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04011730
Stop Event
iter-limit
Counts
34 → 77
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
im
(neg.f64 im)
(exp.f64 (neg.f64 im))
(exp.f64 im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(literal 0 binary64)
(approx 1/2 #s(literal 0 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) re)
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) im)
(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(literal -2 binary64)
(sinh.f64 im)
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))
(-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 im re)
(approx (* im (sin re)) (*.f64 im re))
(*.f64 (sin.f64 re) (neg.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(*.f64 (approx 1/2 #s(literal 0 binary64)) re)
(approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Outputs
(approx 1/2 #s(literal 0 binary64))
(approx re re)
(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(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))))))
(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))))))
(approx (* 1/2 re) (*.f64 #s(literal 1/2 binary64) re))
(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
(approx (* 1/2 (sin re)) (*.f64 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 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 re (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 re (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 re (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))))
(approx (* im re) (*.f64 im re))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 #s(literal 1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) im))))))))
(approx (* (sin re) (neg im)) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
(approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))))
(approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -2 binary64) (*.f64 re (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) re))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -7/180 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) re))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -31/7560 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 7/180 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) re))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 #s(literal -1/2 binary64) (*.f64 re (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 re (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 re (fma.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)) (fma.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/12 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 re (fma.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)) (fma.f64 #s(literal 1/12 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 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))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))
(approx (sin re) (sin.f64 re))
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
(approx (* (sin re) (neg im)) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(approx im im)
(approx (neg im) (*.f64 #s(literal -1 binary64) im))
(approx (exp (neg im)) #s(literal 1 binary64))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(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)))))))
(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(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))))))))
(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))))))))))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 #s(literal -2 binary64) (*.f64 im (sin.f64 re))))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (sin.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (sin.f64 re) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
(approx (* (* -2 (sinh im)) (sin re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (sin.f64 re) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -7/360 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 31/15120 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
(approx (exp im) (exp.f64 im))
(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(approx (* -2 (sinh im)) (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
Calls

6 calls:

TimeVariablePoint
4.0ms
im
-inf
3.0ms
re
inf
2.0ms
im
0
2.0ms
im
inf
2.0ms
re
0

rewrite145.0ms (2.9%)

Memory
19.9MiB live, 340.6MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042205
063203
1126185
2436182
33551182
04003182
04134182
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
34 → 1 409
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
im
(neg.f64 im)
(exp.f64 (neg.f64 im))
(exp.f64 im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(literal 0 binary64)
(approx 1/2 #s(literal 0 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) re)
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) im)
(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(literal -2 binary64)
(sinh.f64 im)
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))
(-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 im re)
(approx (* im (sin re)) (*.f64 im re))
(*.f64 (sin.f64 re) (neg.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(*.f64 (approx 1/2 #s(literal 0 binary64)) re)
(approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Outputs
#s(literal 1/2 binary64)
re
(*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 re #s(literal 1/2 binary64))) (cos.f64 (*.f64 re #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 re)))
(/.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) #s(literal 2 binary64))
(neg.f64 (sin.f64 (*.f64 #s(literal -1 binary64) re)))
(neg.f64 (sin.f64 (*.f64 re #s(literal -1 binary64))))
(neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)))
(neg.f64 (*.f64 (sin.f64 re) #s(literal -1 binary64)))
(sin.f64 re)
(fma.f64 (sin.f64 (*.f64 re #s(literal 1/2 binary64))) (cos.f64 (*.f64 re #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 re #s(literal 1/2 binary64))) (sin.f64 (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 re #s(literal 1/2 binary64))) (cos.f64 (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 re #s(literal 1/2 binary64))) (cos.f64 (*.f64 re #s(literal 1/2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (sin.f64 re)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 re) #s(literal 4 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 (sin.f64 re) (cos.f64 (*.f64 re #s(literal 0 binary64))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 re #s(literal 0 binary64)))))
(fma.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal 0 binary64) re)) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal 0 binary64) re))))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) #s(literal 1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 re #s(literal 0 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 re #s(literal 0 binary64)))))
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal 0 binary64) re))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal 0 binary64) re))))
(+.f64 (*.f64 (sin.f64 (*.f64 re #s(literal 1/2 binary64))) (cos.f64 (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 re #s(literal 1/2 binary64))) (sin.f64 (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (sin.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
im
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 #s(literal 1 binary64) (-.f64 im #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 2 binary64))
(*.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))))
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 im) #s(literal -2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal -2 binary64)) (*.f64 (sinh.f64 im) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 im) (sin.f64 re)))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 im) (sin.f64 re)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) (sinh.f64 im)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) (sinh.f64 im)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) (sinh.f64 im)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 im) (sin.f64 re)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 im) (sin.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) (sinh.f64 im)) (*.f64 (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) (sinh.f64 im)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) (sinh.f64 im)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 im) (sin.f64 re)))))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 im) (sin.f64 re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 im) (sin.f64 re))))
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im)) (*.f64 (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im))))
(+.f64 (*.f64 (neg.f64 (sin.f64 re)) (sinh.f64 im)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 im) (sin.f64 re)))))
(approx (neg (* (sinh im) (sin re))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (approx 1/2 #s(literal 0 binary64)) re)
(*.f64 re (approx 1/2 #s(literal 0 binary64)))
(approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))
(*.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) #s(literal -2 binary64)) (sinh.f64 im))
(*.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (sinh.f64 im)) #s(literal -2 binary64))
(*.f64 (neg.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (neg.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (*.f64 (sinh.f64 im) #s(literal -2 binary64)))
(*.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)))
(*.f64 (sinh.f64 im) (*.f64 #s(literal -2 binary64) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(/.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (*.f64 #s(literal -4 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(fma.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(fma.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(fma.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (/.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 im)))
(fma.f64 (cosh.f64 im) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(fma.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (neg.f64 (exp.f64 im)) (/.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 im)))
(fma.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (cosh.f64 im) (*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(fma.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(fma.f64 #s(literal 1 binary64) (/.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(fma.f64 (exp.f64 (neg.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 im)) (*.f64 (exp.f64 im) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 im)) (*.f64 (neg.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 im)) (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)))))
(+.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (cosh.f64 im)) (*.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(+.f64 (*.f64 (cosh.f64 im) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))) (/.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 im)))
(+.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 (approx 1/2 #s(literal 0 binary64)) re))))
(*.f64 (*.f64 (approx (* im (sin re)) (*.f64 im re)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (approx (* im (sin re)) (*.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (approx (* im (sin re)) (*.f64 im re)) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (neg.f64 (approx (* im (sin re)) (*.f64 im re))) #s(literal 1 binary64))
(*.f64 (approx (* im (sin re)) (*.f64 im re)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 #s(literal 1 binary64) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (approx (* im (sin re)) (*.f64 im re))))
(/.f64 (*.f64 (approx (* im (sin re)) (*.f64 im re)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (approx (* im (sin re)) (*.f64 im re))) #s(literal -2 binary64))
(neg.f64 (approx (* im (sin re)) (*.f64 im re)))
(approx (neg (* (sinh im) (sin re))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (neg.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (-.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.f64 im))))
(*.f64 (-.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.f64 im))) (neg.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (-.f64 im #s(literal -1 binary64)))))
(neg.f64 (*.f64 (-.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.f64 im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)))
(fma.f64 (cosh.f64 im) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)))
(fma.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (cosh.f64 im) (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (sinh.f64 (neg.f64 im)) (approx (exp im) (-.f64 im #s(literal -1 binary64))))))
(fma.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 (neg.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (neg.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64))))))
(-.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (neg.f64 (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (cosh.f64 im)) (*.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (sinh.f64 (neg.f64 im)) (approx (exp im) (-.f64 im #s(literal -1 binary64))))))
(+.f64 (*.f64 (cosh.f64 im) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)))
(+.f64 (/.f64 (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 (neg.f64 (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))))

reconstruct22.0ms (0.4%)

Memory
-19.2MiB live, 75.6MiB allocated; 15ms collecting garbage

eval260.0ms (5.2%)

Memory
2.2MiB live, 411.3MiB allocated; 157ms collecting garbage
Compiler

Compiled 26 744 to 4 166 computations (84.4% saved)

prune73.0ms (1.5%)

Memory
-28.2MiB live, 116.3MiB allocated; 15ms collecting garbage
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 655131 668
Fresh358
Picked415
Done011
Total1 662201 682
Accuracy
100.0%
Counts
1 682 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.4%
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 im))
99.8%
(/.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
99.8%
(/.f64 (sin.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (sin.f64 re)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) (sinh.f64 im)))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 im) (sin.f64 re))))
57.6%
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
59.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
59.8%
(*.f64 (sinh.f64 (neg.f64 im)) (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
14.6%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
27.3%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (expm1.f64 (+.f64 im im)))))
19.5%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
22.9%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
45.8%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
20.6%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
58.3%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
36.9%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))) (neg.f64 im)))
33.6%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
36.9%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
Compiler

Compiled 373 to 152 computations (59.2% saved)

sample1.0ms (0.0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
2
1/6
-1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series40.0ms (0.8%)

Memory
-5.1MiB live, 86.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05092364
Stop Event
iter-limit
Counts
38 → 108
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
im
(neg.f64 im)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 re #s(literal 2 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) re)
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) im)
(-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) im)
(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(*.f64 im (sin.f64 re))
(sinh.f64 (neg.f64 im))
(*.f64 im re)
(approx (* im (sin re)) (*.f64 im re))
(*.f64 im (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (sin.f64 re))
(neg.f64 (approx (* im (sin re)) (*.f64 im re)))
(/.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
Outputs
(approx 1/2 #s(literal 0 binary64))
(approx re re)
(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(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))))))
(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))))))
(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
(approx (* 1/2 re) (*.f64 #s(literal 1/2 binary64) re))
(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
(approx (* 1/2 (sin re)) (*.f64 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 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
(approx (* im (sin re)) (*.f64 im re))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 #s(literal 1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) im))))))))
(approx (* im (pow re 2)) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(approx (* 1/6 (* im (pow re 2))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 #s(literal -1 binary64) im))
(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))))
(approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))))
(approx (/ -1 (* im (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im re)))
(approx (/ -1 (* im (sin re))) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (/.f64 #s(literal 1 binary64) im)) re))
(approx (/ -1 (* im (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -7/360 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) im)))) (/.f64 #s(literal 1 binary64) im)) re))
(approx (/ -1 (* im (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -31/15120 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1 binary64) im)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) im)))) (/.f64 #s(literal 1 binary64) im)) re))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -2 binary64) (*.f64 re (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) re))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -7/180 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) re))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -31/7560 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 7/180 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) re))
(approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) re))
(approx (/ 1 (sin re)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) re))
(approx (/ 1 (sin re)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 7/360 binary64) (pow.f64 re #s(literal 2 binary64)))))) re))
(approx (/ 1 (sin re)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 #s(literal 31/15120 binary64) (pow.f64 re #s(literal 2 binary64)))))))) re))
(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im)))
(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) im))) im)))
(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) im))) (*.f64 #s(literal -1/6 binary64) im))) im)))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 re (fma.f64 #s(literal -1/12 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))))))))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 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)))))))))))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 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 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 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))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 #s(literal -1/2 binary64) (*.f64 re (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 re (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 re (fma.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)) (fma.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/12 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 re (fma.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)) (fma.f64 #s(literal 1/12 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))))
(approx (sin re) (sin.f64 re))
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))
(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))
(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))
(approx (* (sin re) (neg im)) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(approx (/ -1 (* im (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(approx (/ 1 (/ 2 (* (* -2 (sinh im)) (sin re)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) im (/.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(approx im im)
(approx (* 1/2 im) (*.f64 #s(literal 1/2 binary64) im))
(approx (- (* 1/2 im) 1) #s(literal -1 binary64))
(approx (- (* 1/2 im) 1) (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(approx (* im (- (* 1/2 im) 1)) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))
(approx (+ 1 (* im (- (* 1/2 im) 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(approx (+ 1 (* im (- (* 1/2 im) 1))) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
(approx (+ 1 im) (+.f64 #s(literal 1 binary64) im))
(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(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)))))))
(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
(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))))
(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))))
(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -7/360 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 31/15120 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(approx (- (* 1/2 im) 1) (*.f64 im (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(approx (* im (- (* 1/2 im) 1)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(approx (* im (- (* 1/2 im) 1)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(approx (+ 1 (* im (- (* 1/2 im) 1))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) im))))
(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(approx (exp im) (exp.f64 im))
(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(approx (- (* 1/2 im) 1) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)))))
(approx (+ 1 (* im (- (* 1/2 im) 1))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(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))))))
(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(approx (/ (sinh (neg im)) (/ 1 (sin re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
Calls

6 calls:

TimeVariablePoint
9.0ms
im
inf
3.0ms
re
inf
3.0ms
im
0
2.0ms
re
0
2.0ms
im
-inf

rewrite158.0ms (3.2%)

Memory
32.8MiB live, 223.8MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052302
078302
1197282
2722282
04153282
04337268
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
38 → 670
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(sin.f64 re)
im
(neg.f64 im)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 re #s(literal 2 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) re)
(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) im)
(-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) im)
(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(*.f64 im (sin.f64 re))
(sinh.f64 (neg.f64 im))
(*.f64 im re)
(approx (* im (sin re)) (*.f64 im re))
(*.f64 im (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (sin.f64 re))
(neg.f64 (approx (* im (sin re)) (*.f64 im re)))
(/.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
Outputs
#s(literal 1/2 binary64)
re
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (sin.f64 re) #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) (sin.f64 re))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (sin.f64 re)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 re))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 re)))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 re)) #s(literal -1 binary64))
(pow.f64 (sin.f64 re) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) #s(literal 2 binary64))
(/.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 re))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 re)))
(/.f64 (sin.f64 re) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(neg.f64 (neg.f64 (sin.f64 re)))
(sin.f64 (neg.f64 (neg.f64 re)))
(sin.f64 (neg.f64 (+.f64 re (PI.f64))))
(sin.f64 (+.f64 (neg.f64 re) (PI.f64)))
(sin.f64 (+.f64 (+.f64 re (PI.f64)) (PI.f64)))
(sin.f64 re)
(fma.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 re)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (sin.f64 re)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 re)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(cos.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 re (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(+.f64 (sin.f64 re) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
im
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 (neg.f64 im) #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(/.f64 im #s(literal -1 binary64))
(neg.f64 im)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (pow.f64 re #s(literal 1 binary64)) re)
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))
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reconstruct16.0ms (0.3%)

Memory
-29.0MiB live, 16.7MiB allocated; 3ms collecting garbage

eval87.0ms (1.7%)

Memory
25.9MiB live, 174.5MiB allocated; 43ms collecting garbage
Compiler

Compiled 11 950 to 2 330 computations (80.5% saved)

prune31.0ms (0.6%)

Memory
-17.8MiB live, 83.5MiB allocated; 11ms collecting garbage
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New81315828
Fresh7613
Picked325
Done022
Total82325848
Accuracy
100.0%
Counts
848 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.4%
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 im))
59.0%
(/.f64 (sinh.f64 (neg.f64 im)) (approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) re)))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 im) (sin.f64 re))))
57.5%
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
57.5%
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (/.f64 #s(literal -1 binary64) im) (sin.f64 re))))
57.6%
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
33.2%
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
22.9%
(*.f64 (-.f64 (approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
59.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
59.8%
(*.f64 (sinh.f64 (neg.f64 im)) (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
14.6%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
27.3%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (expm1.f64 (+.f64 im im)))))
22.9%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) im))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
21.5%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
20.6%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
45.8%
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
58.3%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
33.6%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
32.6%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (fma.f64 (*.f64 (*.f64 im re) re) (*.f64 #s(literal 1/6 binary64) re) (*.f64 (neg.f64 im) re))))
36.9%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
36.9%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
36.9%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
36.9%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))))
22.8%
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))))
Compiler

Compiled 249 to 103 computations (58.6% saved)

regimes356.0ms (7.1%)

Memory
2.3MiB live, 807.2MiB allocated; 126ms collecting garbage
Counts
6 → 1
7 → 2
10 → 2
14 → 2
16 → 2
29 → 2
31 → 3
35 → 3
46 → 1
Calls
Call 1
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Outputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
Call 2
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
Outputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
Call 3
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (fma.f64 (*.f64 (*.f64 im re) re) (*.f64 #s(literal 1/6 binary64) re) (*.f64 (neg.f64 im) re))))
Outputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
Call 4
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (fma.f64 (*.f64 (*.f64 im re) re) (*.f64 #s(literal 1/6 binary64) re) (*.f64 (neg.f64 im) re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (-.f64 (approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) im))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Outputs
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
Call 5
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (fma.f64 (*.f64 (*.f64 im re) re) (*.f64 #s(literal 1/6 binary64) re) (*.f64 (neg.f64 im) re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (-.f64 (approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) im))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (sinh.f64 (neg.f64 im)) (approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))))
Outputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(/.f64 (sinh.f64 (neg.f64 im)) (approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) re)))
Call 6
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (fma.f64 (*.f64 (*.f64 im re) re) (*.f64 #s(literal 1/6 binary64) re) (*.f64 (neg.f64 im) re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (-.f64 (approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) im))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (sinh.f64 (neg.f64 im)) (approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))) (neg.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 im))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (expm1.f64 (+.f64 im im)))))
Outputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
Call 7
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (fma.f64 (*.f64 (*.f64 im re) re) (*.f64 #s(literal 1/6 binary64) re) (*.f64 (neg.f64 im) re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (-.f64 (approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) im))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (sinh.f64 (neg.f64 im)) (approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))) (neg.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 im))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (expm1.f64 (+.f64 im im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
Outputs
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
Call 8
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (fma.f64 (*.f64 (*.f64 im re) re) (*.f64 #s(literal 1/6 binary64) re) (*.f64 (neg.f64 im) re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (-.f64 (approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) im))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (sinh.f64 (neg.f64 im)) (approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))) (neg.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 im))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (expm1.f64 (+.f64 im im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (/.f64 #s(literal -1 binary64) im) (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
Outputs
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
Call 9
Inputs
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 (approx (* im (sin re)) (*.f64 im re))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (approx (* im (sin re)) (*.f64 im re)))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (approx (+ 1 (* im (- (* 1/2 im) 1))) #s(literal 1 binary64))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (fma.f64 (*.f64 (*.f64 im re) re) (*.f64 #s(literal 1/6 binary64) re) (*.f64 (neg.f64 im) re))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (-.f64 (approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (approx (exp im) (-.f64 im #s(literal -1 binary64)))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) im))) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (sinh.f64 (neg.f64 im)) (approx (/ 1 (sin re)) (/.f64 #s(literal 1 binary64) re)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))) (neg.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (approx (exp im) (approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (approx (* (sin re) (neg im)) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 (approx 1/2 #s(literal 0 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (approx (/ (sin re) 2) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 im))
(*.f64 (approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (expm1.f64 (+.f64 im im)))))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) (approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (/.f64 #s(literal -1 binary64) im) (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(/.f64 (sin.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(/.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 im) (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 im) (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) (sinh.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (sin.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (exp.f64 im) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
Calls

38 calls:

20.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
18.0ms
(sin.f64 re)
16.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
15.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
14.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
33.6%1im
33.6%1re
33.6%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
33.6%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
33.6%1(sin.f64 re)
33.6%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
43.3%2(sin.f64 re)
43.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
43.3%2(sin.f64 re)
43.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
36.9%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
36.9%1im
36.9%1re
43.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
67.9%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
60.6%4(sin.f64 re)
60.6%4(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
68.7%2(sin.f64 re)
68.7%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
68.7%2(sin.f64 re)
68.7%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
62.0%2re
59.0%1im
59.0%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
68.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
97.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
89.4%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
79.7%3(sin.f64 re)
79.7%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
99.3%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
79.3%2re
89.4%2im
99.9%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
99.9%1(sin.f64 re)
99.9%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
99.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
99.9%1re
99.9%1im
Compiler

Compiled 650 to 300 computations (53.8% saved)

bsearch2.0ms (0.0%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.382942119620187e-8
+inf
0.0ms
-inf
-0.7898349792125477
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch3.0ms (0.1%)

Memory
-30.3MiB live, 16.6MiB allocated; 2ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.382942119620187e-8
+inf
0.0ms
-inf
-0.7898349792125477
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch2.0ms (0.0%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.015356021558731558
-0.003106714803623762
Compiler

Compiled 17 to 17 computations (0.0% saved)

bsearch1.0ms (0.0%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.015356021558731558
-0.003106714803623762
Compiler

Compiled 17 to 17 computations (0.0% saved)

bsearch1.0ms (0.0%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.166205708148883e-12
-1.3878917735685783e-31
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch1.0ms (0.0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.182902234647775e-7
0.0008581668029880441
Compiler

Compiled 17 to 17 computations (0.0% saved)

bsearch1.0ms (0.0%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.182902234647775e-7
0.0008581668029880441
Compiler

Compiled 17 to 17 computations (0.0% saved)

derivations232.0ms (4.7%)

Memory
-28.4MiB live, 337.0MiB allocated; 77ms collecting garbage
Stop Event
fuel
Compiler

Compiled 248 to 64 computations (74.2% saved)

preprocess131.0ms (2.6%)

Memory
-9.6MiB live, 144.7MiB allocated; 73ms collecting garbage
Compiler

Compiled 1 548 to 899 computations (41.9% saved)

end0.0ms (0.0%)

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

Profiling

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