math.cos on complex, imaginary part

Time bar (total: 4.1s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.9s (47.1%)

Memory
-12.2MiB live, 2 192.5MiB allocated; 649ms collecting garbage
Samples
569.0ms2 807×1valid
548.0ms1 180×2valid
425.0ms4 269×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-exp: 698.0ms (55.2% of total)
ival-sin: 258.0ms (20.4% of total)
adjust: 111.0ms (8.8% of total)
ival-mult!: 100.0ms (7.9% of total)
ival-sub!: 54.0ms (4.3% of total)
ival-neg: 45.0ms (3.6% of total)
Bogosity

preprocess43.0ms (1.0%)

Memory
5.7MiB live, 50.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02668
19255
236234
3262234
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.6%
(*.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
0.3MiB live, 0.3MiB 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)

series18.0ms (0.4%)

Memory
37.7MiB live, 37.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185676
Stop Event
iter-limit
Counts
10 → 38
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(approx re re)
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(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))))))
#s(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))))))
#s(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))))))
#s(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)))))
#s(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))))))
#s(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)))))))))
#s(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))))))))))
#s(approx (sin re) (sin.f64 re))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(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)))))
#s(approx im im)
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(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))))))
#s(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))))))))
#s(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))))))))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(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
2.0ms
im
0
1.0ms
re
inf
1.0ms
im
-inf
1.0ms
im
inf
1.0ms
re
-inf

rewrite200.0ms (4.9%)

Memory
-18.9MiB live, 347.7MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
01733
15231
220126
3123126
0542226
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 490
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 (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 im)))) (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 im)))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 (neg.f64 im)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))
(*.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))) (sinh.f64 (neg.f64 im)))
(*.f64 (pow.f64 (exp.f64 im) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) (/.f64 #s(literal -1 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 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))) (cosh.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) (cosh.f64 im))) (cosh.f64 im))
(*.f64 #s(literal -1 binary64) (neg.f64 (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 (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))
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(/.f64 (neg.f64 (fma.f64 (neg.f64 (exp.f64 im)) (exp.f64 im) #s(literal 1 binary64))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 im im)))) (neg.f64 (exp.f64 im)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 im im))) (exp.f64 im))
(/.f64 (fma.f64 (neg.f64 (exp.f64 im)) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 im))
(/.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))))) (-.f64 (cosh.f64 im) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(/.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (-.f64 (cosh.f64 im) (exp.f64 im))) (*.f64 (sinh.f64 im) (sinh.f64 im))) (+.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) (+.f64 (sinh.f64 im) (exp.f64 im)))) (+.f64 (cosh.f64 im) (+.f64 (sinh.f64 im) (exp.f64 im))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))) (*.f64 (cosh.f64 im) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (-.f64 (cosh.f64 im) (exp.f64 im)) (fma.f64 (sinh.f64 im) (sinh.f64 im) (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) (+.f64 (sinh.f64 im) (exp.f64 im)) (*.f64 (cosh.f64 im) (+.f64 (sinh.f64 im) (exp.f64 im))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im))
(/.f64 (expm1.f64 (+.f64 im im)) (neg.f64 (exp.f64 im)))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 im #s(literal -2 binary64)))) (-.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))))
(/.f64 (-.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (neg.f64 (exp.f64 im)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 im) (exp.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (-.f64 (cosh.f64 im) (exp.f64 im)))
(-.f64 (+.f64 (neg.f64 (exp.f64 im)) (cosh.f64 im)) (sinh.f64 im))
(-.f64 (-.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)) (cosh.f64 im))
(-.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im))
(-.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 (neg.f64 im))))
(-.f64 (sinh.f64 (neg.f64 im)) (-.f64 (exp.f64 im) (cosh.f64 im)))
(-.f64 (cosh.f64 im) (+.f64 (sinh.f64 im) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (+.f64 (neg.f64 (exp.f64 im)) (cosh.f64 im)) (sinh.f64 (neg.f64 im)))
(+.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (cosh.f64 im))
(+.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 (neg.f64 im)))
(+.f64 (neg.f64 (cosh.f64 im)) (+.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(+.f64 (neg.f64 (cosh.f64 im)) (neg.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))
(+.f64 (sinh.f64 (neg.f64 im)) (-.f64 (cosh.f64 im) (exp.f64 im)))
(+.f64 (cosh.f64 im) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(*.f64 (neg.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(*.f64 (+.f64 #s(literal 1 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 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (neg.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.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 (pow.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.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)))))))
(neg.f64 (*.f64 (sinh.f64 im) (sin.f64 re)))
(fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(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))))

eval63.0ms (1.5%)

Memory
-3.1MiB live, 145.9MiB allocated; 54ms collecting garbage
Compiler

Compiled 11 939 to 2 054 computations (82.8% saved)

prune9.0ms (0.2%)

Memory
30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5164520
Fresh000
Picked101
Done000
Total5174521
Accuracy
99.9%
Counts
521 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(*.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))
49.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
50.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
Compiler

Compiled 52 to 45 computations (13.5% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
1/2
Outputs
#s(literal -1 binary64)
#s(literal 1/2 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)

series52.0ms (1.3%)

Memory
-28.1MiB live, 117.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04231778
Stop Event
iter-limit
Counts
23 → 80
Calls
Call 1
Inputs
re
im
#s(literal -1 binary64)
(sin.f64 re)
(*.f64 im (sin.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(neg.f64 im)
(exp.f64 (neg.f64 im))
(exp.f64 im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(sinh.f64 (neg.f64 im))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(+.f64 im im)
(expm1.f64 (+.f64 im im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(/.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))) (exp.f64 im)))
Outputs
#s(approx re re)
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* im (sin re)) (*.f64 im re))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(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)))))))))
#s(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))))))))
#s(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
#s(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)))))))
#s(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))))))
#s(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)))))))))))
#s(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)))))
#s(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))))))
#s(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)))))))))
#s(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))))))))))
#s(approx (* 1/2 re) (*.f64 #s(literal 1/2 binary64) re))
#s(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))))))
#s(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))))))
#s(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))))))
#s(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)))))))
#s(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))))))))
#s(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)))))))))))
#s(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))))))))))))
#s(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))))
#s(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))))))
#s(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))))))))
#s(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))))))))))
#s(approx (sin re) (sin.f64 re))
#s(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
#s(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(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)))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(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)))))))
#s(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))))
#s(approx im im)
#s(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))))))
#s(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))))))))
#s(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))))))))))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (+ im im) (*.f64 #s(literal 2 binary64) im))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) im))))))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) im))))))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -2/3 binary64) im) #s(literal 4/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (* 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))))))))
#s(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)))))))))
#s(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))))))))))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (- (exp (+ im im)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))
#s(approx (/ (neg (- (exp (+ im im)) 1)) (exp im)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)))
#s(approx (* (* 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)))))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* (sinh (neg im)) (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)))))))
#s(approx (- (exp (+ im im)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))
#s(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))
#s(approx (/ (neg (- (exp (+ im im)) 1)) (exp im)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))) (exp.f64 im)))
#s(approx (* (* 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
7.0ms
re
0
6.0ms
im
inf
6.0ms
im
0
4.0ms
im
-inf
4.0ms
re
inf

rewrite204.0ms (5.0%)

Memory
4.7MiB live, 283.1MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030119
050108
1150100
252997
3374097
0411897
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 1 031
Calls
Call 1
Inputs
re
im
#s(literal -1 binary64)
(sin.f64 re)
(*.f64 im (sin.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(neg.f64 im)
(exp.f64 (neg.f64 im))
(exp.f64 im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(sinh.f64 (neg.f64 im))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(+.f64 im im)
(expm1.f64 (+.f64 im im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(/.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))) (exp.f64 im)))
Outputs
re
im
#s(literal -1 binary64)
(sin.f64 re)
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 re)) im)
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) im))
(*.f64 (*.f64 (sin.f64 re) im) #s(literal 1 binary64))
(*.f64 (sin.f64 re) im)
(*.f64 im (*.f64 (sin.f64 re) #s(literal 1 binary64)))
(*.f64 im (sin.f64 re))
(/.f64 (*.f64 (*.f64 (sin.f64 re) im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 re) im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) (sin.f64 re)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 re)) im (*.f64 (*.f64 (sin.f64 re) im) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 re)) im (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) im) (*.f64 (*.f64 (sin.f64 re) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) im) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im)))
(fma.f64 (*.f64 (sin.f64 re) im) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 re) im) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sin.f64 re) im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im)))
(fma.f64 (sin.f64 re) im (*.f64 (*.f64 (sin.f64 re) im) #s(literal 0 binary64)))
(fma.f64 (sin.f64 re) im (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im)))
(fma.f64 im (*.f64 (sin.f64 re) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 re) im) #s(literal 0 binary64)))
(fma.f64 im (*.f64 (sin.f64 re) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im)))
(fma.f64 im (sin.f64 re) (*.f64 (*.f64 (sin.f64 re) im) #s(literal 0 binary64)))
(fma.f64 im (sin.f64 re) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im)))
(+.f64 (*.f64 (sin.f64 re) im) (*.f64 (*.f64 (sin.f64 re) im) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 re) im) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (*.f64 (neg.f64 im) (sin.f64 re)) #s(literal 1 binary64))
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(+.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (sinh.f64 (neg.f64 im))) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (cosh.f64 im)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (neg.f64 (exp.f64 (-.f64 (+.f64 im im) im)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 im)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (*.f64 (cosh.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (*.f64 (*.f64 (cosh.f64 im) (neg.f64 (expm1.f64 (+.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (sinh.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(+.f64 (*.f64 (neg.f64 (exp.f64 (-.f64 (+.f64 im im) im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 im)))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(+.f64 (/.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)))
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))

eval122.0ms (3.0%)

Memory
24.7MiB live, 206.4MiB allocated; 35ms collecting garbage
Compiler

Compiled 20 279 to 3 143 computations (84.5% saved)

prune24.0ms (0.6%)

Memory
22.0MiB live, 67.5MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New90512917
Fresh000
Picked404
Done000
Total90912921
Accuracy
100.0%
Counts
921 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))))
25.9%
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (pow.f64 (/.f64 (exp.f64 im) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
62.2%
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
65.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
25.9%
(*.f64 #s(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)))))
18.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
48.3%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
50.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
32.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(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 476 to 388 computations (18.5% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
-2
-1
1/2
1/6
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
Samples
0.0ms0valid
Compiler

Compiled 8 to 8 computations (0.0% saved)

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

series82.0ms (2.0%)

Memory
-29.5MiB live, 172.7MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05942709
Stop Event
iter-limit
Counts
34 → 108
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
im
(sinh.f64 im)
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
re
(sin.f64 re)
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))
(/.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))))
#s(literal -1 binary64)
(*.f64 im re)
#s(approx (* im (sin re)) (*.f64 im re))
(*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(literal 1/6 binary64)
(pow.f64 re #s(literal 2 binary64))
(*.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))))))
#s(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)))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(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))))))))
(exp.f64 im)
(/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im))
(+.f64 im im)
(expm1.f64 (+.f64 im im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
Outputs
#s(approx re re)
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* -2 (sinh im)) (sin re)) (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(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))))))))
#s(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)))))))))
#s(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))))))))))))
#s(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))))))
#s(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))
#s(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))
#s(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))
#s(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))))))
#s(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))))))))
#s(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)))))))))
#s(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))))))))))))
#s(approx (* im re) (*.f64 im re))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(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)))))))))
#s(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))))))))
#s(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
#s(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)))))))
#s(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))))))
#s(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)))))))))))
#s(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)))))
#s(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))))))
#s(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)))))))))
#s(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))))))))))
#s(approx (* 1/2 re) (*.f64 #s(literal 1/2 binary64) re))
#s(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))))))
#s(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))))))
#s(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))))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* im (pow re 2)) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(approx (* 1/6 (* im (pow re 2))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
#s(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 #s(literal -1 binary64) im))
#s(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))))))
#s(approx (/ (* 1/2 (sin re)) (exp im)) (*.f64 #s(literal 1/2 binary64) (/.f64 re (exp.f64 im))))
#s(approx (/ (* 1/2 (sin re)) (exp im)) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (/ (* 1/2 (sin re)) (exp im)) (*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 im))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (/ (* 1/2 (sin re)) (exp im)) (*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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))))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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))))))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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))))))))))
#s(approx (sin re) (sin.f64 re))
#s(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))))))
#s(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))))))
#s(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))))))
#s(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
#s(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(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)))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(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))))
#s(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)))))
#s(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))))
#s(approx (/ (* 1/2 (sin re)) (exp im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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))))
#s(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)))))))
#s(approx im im)
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* -2 (sinh im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (* -2 (sinh im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* -2 (sinh im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (* -2 (sinh im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (* (* -2 (sinh im)) (sin re)) (*.f64 #s(literal -2 binary64) (*.f64 im (sin.f64 re))))
#s(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))))))
#s(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))))))))
#s(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))))))))))
#s(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(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))
#s(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))
#s(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))
#s(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))))))
#s(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))))))))
#s(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))))))))))
#s(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))))
#s(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)))))
#s(approx (exp im) #s(literal 1 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (/ (* 1/2 (sin re)) (exp im)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
#s(approx (/ (* 1/2 (sin re)) (exp im)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))))))
#s(approx (/ (* 1/2 (sin re)) (exp im)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 re) (*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 im (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 re) (*.f64 #s(literal 1/6 binary64) (sin.f64 re))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))))))
#s(approx (+ im im) (*.f64 #s(literal 2 binary64) im))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) im))))))
#s(approx (- (exp (+ im im)) 1) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) im))))))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -2/3 binary64) im) #s(literal 4/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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))))))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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)))))))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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))))))))))))
#s(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* -2 (sinh im)) (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (exp im) (exp.f64 im))
#s(approx (- (exp (+ im im)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))
#s(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)))))
#s(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)))))))
#s(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))))))))
#s(approx (- (exp (+ im im)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))
#s(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))
#s(approx (* (/ (* 1/2 (sin re)) (exp im)) (neg (- (exp (+ im im)) 1))) (*.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
16.0ms
re
0
13.0ms
im
0
11.0ms
im
-inf
6.0ms
re
-inf
6.0ms
im
inf

rewrite194.0ms (4.7%)

Memory
29.2MiB live, 311.5MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043239
066229
1230213
2890210
04145210
Stop Event
iter-limit
node-limit
iter-limit
Counts
34 → 834
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
im
(sinh.f64 im)
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
re
(sin.f64 re)
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re))
(/.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))))
#s(literal -1 binary64)
(*.f64 im re)
#s(approx (* im (sin re)) (*.f64 im re))
(*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(literal 1/6 binary64)
(pow.f64 re #s(literal 2 binary64))
(*.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))))))
#s(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)))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(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))))))))
(exp.f64 im)
(/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im))
(+.f64 im im)
(expm1.f64 (+.f64 im im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
im
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (+.f64 im im)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 im im))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 (+.f64 im im)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 im im))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 (exp.f64 (+.f64 im im))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (exp.f64 (neg.f64 im)))
(neg.f64 (expm1.f64 (+.f64 im im)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (neg.f64 im) im)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 im) im)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (neg.f64 im) im)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 im) im)) #s(literal 2 binary64)))) (sinh.f64 (-.f64 (neg.f64 im) im)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 im im)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 im im)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 im im)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 im im)) #s(literal 2 binary64)))) (sinh.f64 (-.f64 (neg.f64 im) im)))
(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 im im))) (sinh.f64 (+.f64 im im)))
(-.f64 (neg.f64 (exp.f64 (+.f64 im im))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 im im)))
(+.f64 (neg.f64 (cosh.f64 (+.f64 im im))) (neg.f64 (-.f64 (sinh.f64 (+.f64 im im)) #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 im im))) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))))
(+.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 im im))) (sinh.f64 (-.f64 (neg.f64 im) im)))
(+.f64 (neg.f64 (exp.f64 (+.f64 im im))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (neg.f64 (exp.f64 im))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (+.f64 im im))))
(*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal -2 binary64)) (sinh.f64 im))
(*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (expm1.f64 (+.f64 im im))) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 (*.f64 (neg.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (neg.f64 (expm1.f64 (+.f64 im im)))) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (exp.f64 im))) (expm1.f64 (+.f64 im im)))
(*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) #s(literal -2 binary64))
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (exp.f64 (neg.f64 im)))
(*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (exp.f64 (neg.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im)))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (sinh.f64 im) #s(literal -2 binary64)))
(*.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 (sinh.f64 im) (*.f64 #s(literal -2 binary64) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 #s(literal -2 binary64) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)))
(/.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (expm1.f64 (+.f64 im im))) (neg.f64 (exp.f64 im)))
(/.f64 (*.f64 (neg.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (neg.f64 (expm1.f64 (+.f64 im im)))) (neg.f64 (exp.f64 im)))
(/.f64 (*.f64 (neg.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (expm1.f64 (+.f64 im im))) (exp.f64 im))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (exp.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (expm1.f64 (+.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (*.f64 (neg.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (neg.f64 (expm1.f64 (+.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))))
(neg.f64 (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (exp.f64 im))) (neg.f64 (expm1.f64 (+.f64 im im)))))
(neg.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (neg.f64 (exp.f64 (neg.f64 im)))))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (exp.f64 im)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im))))
(neg.f64 (neg.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (sinh.f64 im) #s(literal -2 binary64)))))
(+.f64 (neg.f64 (*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) #s(literal -1 binary64))))
(+.f64 (neg.f64 (*.f64 (exp.f64 (+.f64 im im)) (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)))) (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)))))

eval139.0ms (3.4%)

Memory
-23.2MiB live, 206.6MiB allocated; 31ms collecting garbage
Compiler

Compiled 26 896 to 4 086 computations (84.8% saved)

prune33.0ms (0.8%)

Memory
16.2MiB live, 62.0MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 005151 020
Fresh347
Picked505
Done-220
Total1 011211 032
Accuracy
100.0%
Counts
1 032 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (sin.f64 re)))
99.8%
(/.f64 (sin.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
83.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))) (sin.f64 re) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))) (sin.f64 re))) (*.f64 (sin.f64 re) (sin.f64 re))))
49.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
25.9%
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
25.6%
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))))
62.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (pow.f64 (/.f64 (exp.f64 im) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
62.2%
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))))
62.2%
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
65.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
48.3%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
50.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
32.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
29.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 (*.f64 re re) im)) #s(literal 1/6 binary64) (*.f64 (neg.f64 im) re))))
29.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 re re) (*.f64 (neg.f64 im) re))))
29.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))))))
Compiler

Compiled 906 to 686 computations (24.3% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-2
2
1/6
1
Outputs
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

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

series54.0ms (1.3%)

Memory
-39.9MiB live, 73.8MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03311278
Stop Event
iter-limit
Counts
30 → 61
Calls
Call 1
Inputs
im
(sinh.f64 im)
#s(literal -2 binary64)
(*.f64 (sinh.f64 im) #s(literal -2 binary64))
#s(literal 2 binary64)
re
(sin.f64 re)
(/.f64 #s(literal 2 binary64) (sin.f64 re))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (sin.f64 re)))
(*.f64 re im)
#s(approx (* im (sin re)) (*.f64 re im))
(neg.f64 #s(approx (* im (sin re)) (*.f64 re im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
(*.f64 re re)
(*.f64 (*.f64 re re) im)
#s(literal 1/6 binary64)
(*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re)
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))
#s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))
#s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))))
(neg.f64 im)
(*.f64 (sin.f64 re) (neg.f64 im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
Outputs
#s(approx re re)
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re))
#s(approx (/ 2 (sin re)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 re #s(literal 2 binary64)))) re))
#s(approx (/ 2 (sin re)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 7/180 binary64) (pow.f64 re #s(literal 2 binary64)))))) re))
#s(approx (/ 2 (sin re)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 7/180 binary64) (*.f64 #s(literal 31/7560 binary64) (pow.f64 re #s(literal 2 binary64)))))))) re))
#s(approx (/ (* (sinh im) -2) (/ 2 (sin re))) (*.f64 #s(literal -1/2 binary64) (*.f64 re (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (/ (* (sinh im) -2) (/ 2 (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))))))))
#s(approx (/ (* (sinh im) -2) (/ 2 (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)))))))))
#s(approx (/ (* (sinh im) -2) (/ 2 (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))))))))))))
#s(approx (* re im) (*.f64 im re))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(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)))))))))
#s(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))))))))
#s(approx (neg (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
#s(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im)))
#s(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)))
#s(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)))
#s(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)))))
#s(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))))))
#s(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)))))))))
#s(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))))))))))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* re re) im) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(approx (* (* (* re re) im) 1/6) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (* (* (* re re) im) 1/6) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))
#s(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)))))))
#s(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))))))
#s(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)))))))))))
#s(approx (/ 1 (/ 2 re)) (*.f64 #s(literal 1/2 binary64) re))
#s(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))))))
#s(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))))))
#s(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))))))
#s(approx (sin re) (sin.f64 re))
#s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) (sin.f64 re)))
#s(approx (/ (* (sinh im) -2) (/ 2 (sin re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
#s(approx (neg (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(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)))))
#s(approx (- (* (* (* (* re re) im) 1/6) re) (* re im)) (*.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))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (- (* (* (* (* re re) im) 1/6) re) (* re im)) (*.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)))))))
#s(approx im im)
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (sinh im) -2) (*.f64 #s(literal -2 binary64) im))
#s(approx (* (sinh im) -2) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sinh im) -2) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (* (sinh im) -2) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (/ (* (sinh im) -2) (/ 2 (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))))))
#s(approx (/ (* (sinh im) -2) (/ 2 (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))))))))
#s(approx (/ (* (sinh im) -2) (/ 2 (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))))))))))
#s(approx (- (* (* (* (* re re) im) 1/6) re) (* re im)) (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (sinh im) -2) (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(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)))))
#s(approx (- (* (* (* (* re re) im) 1/6) re) (* re im)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re)))))
Calls

6 calls:

TimeVariablePoint
15.0ms
re
-inf
4.0ms
re
inf
4.0ms
im
-inf
3.0ms
im
inf
3.0ms
im
0

rewrite139.0ms (3.4%)

Memory
49.1MiB live, 280.2MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041218
060210
1179186
2676178
04152178
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 868
Calls
Call 1
Inputs
im
(sinh.f64 im)
#s(literal -2 binary64)
(*.f64 (sinh.f64 im) #s(literal -2 binary64))
#s(literal 2 binary64)
re
(sin.f64 re)
(/.f64 #s(literal 2 binary64) (sin.f64 re))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (sin.f64 re)))
(*.f64 re im)
#s(approx (* im (sin re)) (*.f64 re im))
(neg.f64 #s(approx (* im (sin re)) (*.f64 re im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
(*.f64 re re)
(*.f64 (*.f64 re re) im)
#s(literal 1/6 binary64)
(*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re)
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))
#s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))
#s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))))
(neg.f64 im)
(*.f64 (sin.f64 re) (neg.f64 im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
Outputs
im
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 im))
(*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(*.f64 (sinh.f64 im) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (cosh.f64 im))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (expm1.f64 (+.f64 im im)) #s(literal 1/2 binary64)) (exp.f64 im))
(/.f64 (*.f64 (expm1.f64 (+.f64 im im)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (+.f64 im im)) #s(literal -1 binary64)) (*.f64 (exp.f64 im) #s(literal -2 binary64)))
(/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 im)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -2 binary64))
(/.f64 (sinh.f64 im) #s(literal 1 binary64))
(sinh.f64 im)
(neg.f64 (sinh.f64 (neg.f64 im)))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)))
(-.f64 (/.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(-.f64 (/.f64 (-.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(-.f64 (/.f64 (cosh.f64 im) #s(literal -2 binary64)) (/.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64)))
(-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal -2 binary64)) (/.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) #s(literal -2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))) (neg.f64 (exp.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (cosh.f64 im))) (cosh.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) (-.f64 (cosh.f64 im) (exp.f64 im)))) (-.f64 (cosh.f64 im) (exp.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) (cosh.f64 im))) (cosh.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
(*.f64 (sinh.f64 im) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 im)) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 im))
(/.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))))) (-.f64 (cosh.f64 im) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(/.f64 (-.f64 (*.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (-.f64 (cosh.f64 im) (exp.f64 im))) (*.f64 (sinh.f64 im) (sinh.f64 im))) (+.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) (+.f64 (sinh.f64 im) (exp.f64 im)))) (+.f64 (cosh.f64 im) (+.f64 (sinh.f64 im) (exp.f64 im))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im))))))
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#s(literal 2 binary64)
re
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(*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(literal -2 binary64) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)))
(*.f64 (sinh.f64 im) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal -2 binary64)))
(*.f64 (sinh.f64 im) (*.f64 #s(literal -2 binary64) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(/.f64 (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal -4 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (*.f64 #s(literal -2 binary64) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal -2 binary64) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))) #s(literal -2 binary64))
(neg.f64 (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (cosh.f64 im) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(fma.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (exp.f64 im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 (neg.f64 im))))
(fma.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (cosh.f64 im) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(fma.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 (neg.f64 im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (exp.f64 im))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(+.f64 (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (cosh.f64 im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im)))))
(+.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (exp.f64 im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 (neg.f64 im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (neg.f64 (exp.f64 im))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im))) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (sinh.f64 im))))
(+.f64 (*.f64 (cosh.f64 im) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 (neg.f64 (+.f64 (sinh.f64 im) (exp.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.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 (neg.f64 (sin.f64 re)) im)
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (*.f64 (neg.f64 im) (sin.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 re) im))
(*.f64 (*.f64 (sin.f64 re) im) #s(literal -1 binary64))
(*.f64 (sin.f64 re) (neg.f64 im))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) im))
(*.f64 im (neg.f64 (sin.f64 re)))
(/.f64 (*.f64 (*.f64 (sin.f64 re) im) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 re) im)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) im) (/.f64 #s(literal -2 binary64) (sin.f64 re)))
(/.f64 (*.f64 #s(literal -2 binary64) im) (/.f64 #s(literal 2 binary64) (sin.f64 re)))
(/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(neg.f64 (*.f64 (sin.f64 re) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))

eval91.0ms (2.2%)

Memory
12.8MiB live, 240.6MiB allocated; 38ms collecting garbage
Compiler

Compiled 19 830 to 3 167 computations (84.0% saved)

prune40.0ms (1.0%)

Memory
-8.1MiB live, 86.3MiB allocated; 21ms collecting garbage
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New9059914
Fresh31114
Picked505
Done-132
Total91223935
Accuracy
100.0%
Counts
935 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.0%
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) (*.f64 (sin.f64 re) (neg.f64 (sin.f64 re)))))
62.2%
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re)))
99.8%
(/.f64 (sin.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
83.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))) (sin.f64 re) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))) (sin.f64 re))) (*.f64 (sin.f64 re) (sin.f64 re))))
64.7%
(+.f64 (/.f64 (cosh.f64 im) (/.f64 #s(literal -2 binary64) (sin.f64 re))) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (/.f64 #s(literal -2 binary64) (sin.f64 re))))
25.6%
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))))
62.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
47.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (pow.f64 (/.f64 (exp.f64 im) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
62.2%
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
65.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
48.3%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
50.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
50.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
32.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
29.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)) (*.f64 re im))))
0.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
29.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 re im)) (*.f64 re im))))
29.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) (*.f64 re re)) (*.f64 re im))))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))))))
40.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
Compiler

Compiled 541 to 401 computations (25.9% saved)

regimes310.0ms (7.5%)

Memory
-48.5MiB live, 542.0MiB allocated; 130ms collecting garbage
Counts
2 → 1
3 → 2
4 → 2
12 → 2
13 → 2
15 → 2
26 → 2
29 → 3
31 → 3
41 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
Call 2
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
Call 3
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
Call 4
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) (*.f64 re re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 re im)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 re re) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 (*.f64 re re) im)) #s(literal 1/6 binary64) (*.f64 (neg.f64 im) re))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
Call 5
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) (*.f64 re re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 re im)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 re re) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 (*.f64 re re) im)) #s(literal 1/6 binary64) (*.f64 (neg.f64 im) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
Call 6
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) (*.f64 re re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 re im)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 re re) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 (*.f64 re re) im)) #s(literal 1/6 binary64) (*.f64 (neg.f64 im) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
Call 7
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) (*.f64 re re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 re im)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 re re) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 (*.f64 re re) im)) #s(literal 1/6 binary64) (*.f64 (neg.f64 im) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(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))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))))))
(*.f64 #s(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)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
Outputs
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
Call 8
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) (*.f64 re re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 re im)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 re re) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 (*.f64 re re) im)) #s(literal 1/6 binary64) (*.f64 (neg.f64 im) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(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))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))))))
(*.f64 #s(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)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
Outputs
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
Call 9
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) (*.f64 re re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 re im)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 re re) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 (*.f64 re re) im)) #s(literal 1/6 binary64) (*.f64 (neg.f64 im) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(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))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))))))
(*.f64 #s(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)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(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) #s(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
Outputs
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
Call 10
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) re) (*.f64 re re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 re im)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 re re) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 re (*.f64 (*.f64 re re) im)) #s(literal 1/6 binary64) (*.f64 (neg.f64 im) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(approx (/ 2 (sin re)) (/.f64 #s(literal 2 binary64) re)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re))))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(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))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (exp.f64 im)) (neg.f64 (expm1.f64 (+.f64 im im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))))))
(*.f64 #s(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)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64))) im) #s(literal 1/6 binary64)) re) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (sin.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(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) #s(approx (/ 2 (* (* -2 (sinh im)) (sin re))) (/.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(/.f64 (sin.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (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 (cosh.f64 im) (/.f64 #s(literal -2 binary64) (sin.f64 re))) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (/.f64 #s(literal -2 binary64) (sin.f64 re))))
(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) (*.f64 (sin.f64 re) (neg.f64 (sin.f64 re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (pow.f64 (/.f64 (exp.f64 im) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))) (sin.f64 re) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))) (sin.f64 re))) (*.f64 (sin.f64 re) (sin.f64 re))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
Calls

38 calls:

56.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
16.0ms
(sin.f64 re)
14.0ms
re
12.0ms
(sin.f64 re)
12.0ms
im
Results
AccuracySegmentsBranch
32.0%1im
32.0%1re
32.0%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
32.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
32.0%1(sin.f64 re)
32.0%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
46.3%2(sin.f64 re)
46.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
46.3%2(sin.f64 re)
46.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
46.3%2(sin.f64 re)
46.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
40.0%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
40.0%1im
40.0%1re
45.9%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
61.7%2(sin.f64 re)
61.7%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
75.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.0%2(sin.f64 re)
76.0%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
62.2%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
62.2%1im
76.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
98.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
87.8%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
80.0%3(sin.f64 re)
80.0%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
99.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
73.8%2re
87.8%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 1 064 to 411 computations (61.4% saved)

bsearch1.0ms (0.0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2411966988441255e-11
+inf
0.0ms
-7.116935145157747e-248
-1.8178165544120983e-267
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch1.0ms (0.0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2411966988441255e-11
+inf
0.0ms
-7.116935145157747e-248
-1.8178165544120983e-267
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.116935145157747e-248
-1.8178165544120983e-267
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.116935145157747e-248
-1.8178165544120983e-267
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3367207760501329e-42
-1.0699324878586687e-69
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00042422924167726173
0.002095805994095631
Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00042422924167726173
0.002095805994095631
Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00042422924167726173
0.002095805994095631
Compiler

Compiled 17 to 18 computations (-5.9% saved)

derivations206.0ms (5.0%)

Memory
50.7MiB live, 274.0MiB allocated; 54ms collecting garbage
Stop Event
fuel
Compiler

Compiled 538 to 91 computations (83.1% saved)

preprocess149.0ms (3.6%)

Memory
-2.3MiB live, 376.8MiB allocated; 86ms collecting garbage
Compiler

Compiled 3 220 to 1 603 computations (50.2% saved)

end0.0ms (0.0%)

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

Profiling

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