math.sin on complex, imaginary part

Time bar (total: 3.9s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
random
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.6s (42.3%)

Memory
-32.5MiB live, 2 594.4MiB allocated; 525ms collecting garbage
Samples
864.0ms1 823×2valid
288.0ms2 234×1valid
159.0ms4 159×0valid
50.0ms45×3valid
5.0ms5valid
Bogosity

preprocess34.0ms (0.9%)

Memory
-0.2MiB live, 45.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03070
121055
2153048
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Symmetry

(abs re)

(negabs im)

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
0
Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

series12.0ms (0.3%)

Memory
37.6MiB live, 37.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0180678
Stop Event
iter-limit
Counts
11 → 39
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 0 binary64)
im
(-.f64 #s(literal 0 binary64) im)
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 im)
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
#s(approx 1/2 #s(literal 0 binary64))
#s(approx re re)
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx im im)
#s(approx (- 0 im) (*.f64 #s(literal -1 binary64) im))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
Calls

6 calls:

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

rewrite106.0ms (2.7%)

Memory
-26.1MiB live, 205.1MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01138
01834
17632
252727
0443027
0465727
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
11 → 254
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 0 binary64)
im
(-.f64 #s(literal 0 binary64) im)
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 im)
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
#s(literal 1/2 binary64)
re
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) (-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 re)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 2 binary64))
(/.f64 (cos.f64 re) #s(literal 2 binary64))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
im
(/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (*.f64 im im) (neg.f64 im))
(/.f64 (*.f64 (*.f64 (neg.f64 im) im) im) (*.f64 im im))
(neg.f64 im)
(-.f64 (+.f64 (neg.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 im)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (-.f64 (neg.f64 im) im)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.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 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (cosh.f64 im))) (neg.f64 (exp.f64 im)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (/.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 im)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 im))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))) (*.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (*.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (*.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) (cosh.f64 im))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))
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(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (sinh.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))

eval35.0ms (0.9%)

Memory
10.2MiB live, 56.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 923 to 973 computations (80.2% saved)

prune7.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2795284
Fresh000
Picked101
Done000
Total2805285
Accuracy
99.9%
Counts
285 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
48.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
99.8%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
40.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
48.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
Compiler

Compiled 82 to 46 computations (43.9% saved)

sample0.0ms (0.0%)

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

Compiled 5 to 5 computations (0.0% saved)

series29.0ms (0.7%)

Memory
6.6MiB live, 58.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04021745
Stop Event
iter-limit
Counts
26 → 79
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
im
(exp.f64 im)
(neg.f64 im)
(exp.f64 (neg.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(literal -1 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) im)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(sinh.f64 (neg.f64 im))
(+.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 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
Outputs
#s(approx 1/2 #s(literal 0 binary64))
#s(approx re re)
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)))))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im))))
#s(approx (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)) (+.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 (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 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (+ 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 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -2/3 binary64) (cos.f64 re))) (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 #s(literal -4/15 binary64) (cos.f64 re)))) (fma.f64 #s(literal -1 binary64) (cos.f64 re) (fma.f64 #s(literal -2/3 binary64) (cos.f64 re) (fma.f64 #s(literal -1/12 binary64) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -2/3 binary64) (cos.f64 re))) (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))))))))))
#s(approx (exp im) (exp.f64 im))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 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 (/ (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 (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 (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (- (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 (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))) (exp.f64 im))))
Calls

6 calls:

TimeVariablePoint
6.0ms
im
0
3.0ms
im
inf
2.0ms
im
-inf
2.0ms
re
inf
2.0ms
re
-inf

rewrite141.0ms (3.7%)

Memory
-8.9MiB live, 317.9MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034154
054144
1197115
21043115
04206115
04548115
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
26 → 594
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
im
(exp.f64 im)
(neg.f64 im)
(exp.f64 (neg.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(literal -1 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) im)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(sinh.f64 (neg.f64 im))
(+.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 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
Outputs
#s(literal 1/2 binary64)
re
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
im
(*.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (exp.f64 (+.f64 im im)))
(*.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))))
(*.f64 (exp.f64 im) (/.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal -1 binary64))
(pow.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 im) (cosh.f64 im)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im)))) #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.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 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 (neg.f64 im))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))))
(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 #s(literal -1 binary64) (-.f64 (sinh.f64 im) (cosh.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(fma.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (exp.f64 (+.f64 im im)) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) (/.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sinh.f64 im) (cosh.f64 im))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 im)))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 im))))
(fabs.f64 (neg.f64 (exp.f64 im)))
(fabs.f64 (exp.f64 im))
(exp.f64 (+.f64 im (+.f64 (neg.f64 im) im)))
(exp.f64 (+.f64 (+.f64 (neg.f64 im) im) im))
(exp.f64 (-.f64 (+.f64 (neg.f64 im) im) (neg.f64 im)))
(exp.f64 (/.f64 (fma.f64 #s(literal 2 binary64) im #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64)))
(exp.f64 im)
(+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (exp.f64 (neg.f64 im))) (/.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)) (exp.f64 (neg.f64 im))))
(+.f64 (/.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))) (/.f64 (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(+.f64 (cosh.f64 im) (sinh.f64 im))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 im im) (neg.f64 im) #s(literal 0 binary64)) (fma.f64 im im (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) #s(literal 0 binary64)))))
(/.f64 (*.f64 im (neg.f64 im)) im)
(/.f64 (*.f64 (*.f64 im im) (neg.f64 im)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 im im) (*.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (*.f64 (*.f64 im im) (neg.f64 im)) (*.f64 im im))
(neg.f64 (*.f64 #s(literal 1 binary64) im))
(neg.f64 im)
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.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 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 (-.f64 (neg.f64 im) im)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(/.f64 (*.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (exp.f64 im) (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 (exp.f64 im) #s(literal -1 binary64)) (*.f64 (exp.f64 im) (neg.f64 (exp.f64 im))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 im)))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im)))) #s(literal 4 binary64)))))
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(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
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(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)) (cos.f64 re)))

eval69.0ms (1.8%)

Memory
26.3MiB live, 208.6MiB allocated; 34ms collecting garbage
Compiler

Compiled 13 786 to 2 192 computations (84.1% saved)

prune33.0ms (0.9%)

Memory
-25.5MiB live, 70.1MiB allocated; 19ms collecting garbage
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New75817775
Fresh000
Picked415
Done000
Total76218780
Accuracy
99.9%
Counts
780 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) (cos.f64 re))
45.9%
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im)))
45.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 im im) #s(literal 3 binary64))) (+.f64 (exp.f64 (fma.f64 im #s(literal 3 binary64) im)) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))))) (exp.f64 im)))
46.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))) (exp.f64 im)))
77.2%
(*.f64 (sinh.f64 (/.f64 (*.f64 im (neg.f64 im)) im)) (cos.f64 re))
99.8%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
62.7%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
35.2%
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
23.9%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
61.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))))
48.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
5.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
40.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
48.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))))))))
25.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
61.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
35.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
Compiler

Compiled 448 to 171 computations (61.8% saved)

sample0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
2
-1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 5 computations (16.7% saved)

series72.0ms (1.9%)

Memory
-7.3MiB live, 85.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04692017
Stop Event
iter-limit
Counts
28 → 93
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
im
#s(literal 1 binary64)
#s(literal 2 binary64)
(neg.f64 im)
(exp.f64 (neg.f64 im))
#s(literal -1 binary64)
(neg.f64 (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(sinh.f64 im)
(*.f64 #s(literal 2 binary64) (sinh.f64 im))
(+.f64 im im)
(expm1.f64 (+.f64 im im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
#s(approx (* im (cos re)) im)
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) (cos.f64 re))
(*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
Outputs
#s(approx 1/2 #s(literal 0 binary64))
#s(approx re re)
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (neg (cos re)) #s(literal -1 binary64))
#s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (cos re)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (neg (cos re)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos re) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (cos re) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* (cos re) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* (neg (cos re)) im) (*.f64 #s(literal -1 binary64) im))
#s(approx (* (neg (cos re)) im) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (neg (cos re)) im) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* (neg (cos re)) im) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))))
#s(approx (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))))
#s(approx (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))))))))
#s(approx (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/48 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))) (*.f64 #s(literal 1/48 binary64) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* (/ 1 (/ 2 (neg (* 2 (sinh im))))) (cos re)) (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (/ 1 (/ 2 (neg (* 2 (sinh im))))) (cos re)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (* (/ 1 (/ 2 (neg (* 2 (sinh im))))) (cos 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 -1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (* (/ 1 (/ 2 (neg (* 2 (sinh im))))) (cos 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 1/4 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 -1/48 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (neg (cos re)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
#s(approx (* (cos re) 1/2) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* (neg (cos re)) im) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 (exp.f64 (neg.f64 im)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (/ 1 (/ 2 (neg (* 2 (sinh im))))) (cos re)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (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 (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 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 2 (sinh im)) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 2 (sinh im)) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#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 #s(literal -2 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 (neg (* 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 (neg (* 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 (neg (* 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 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) im))
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -7/360 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 31/15120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 7/360 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ 1 (/ 2 (neg (* 2 (sinh im))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 2 (neg (* 2 (sinh im))))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 2 (neg (* 2 (sinh im))))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))))
#s(approx (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -2/3 binary64) (*.f64 im (cos.f64 re))))))))
#s(approx (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 im (fma.f64 #s(literal -2/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 im (cos.f64 re))))))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* 2 (sinh im)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (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 (neg (* 2 (sinh im))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 im)) (exp.f64 im)))
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (exp (neg im)) (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)) (* (cos re) 1/2)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))))
#s(approx (* (* (neg (- (exp (+ im im)) 1)) (* (cos re) 1/2)) (exp (neg im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
Calls

6 calls:

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

rewrite188.0ms (4.9%)

Memory
37.6MiB live, 397.2MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037175
057153
1205132
21210130
04410130
04511130
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
28 → 1 080
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
im
#s(literal 1 binary64)
#s(literal 2 binary64)
(neg.f64 im)
(exp.f64 (neg.f64 im))
#s(literal -1 binary64)
(neg.f64 (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(sinh.f64 im)
(*.f64 #s(literal 2 binary64) (sinh.f64 im))
(+.f64 im im)
(expm1.f64 (+.f64 im im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
#s(approx (* im (cos re)) im)
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) (cos.f64 re))
(*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
Outputs
#s(literal 1/2 binary64)
re
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (cos.f64 re))
(fma.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (cos.f64 re))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (cos.f64 re))
(+.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (cos.f64 re))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (cos.f64 re))
(+.f64 (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
im
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 im (neg.f64 im)) im)
(/.f64 (*.f64 (*.f64 im im) (neg.f64 im)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 im im) (*.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (*.f64 (*.f64 im im) (neg.f64 im)) (*.f64 im im))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 (neg.f64 im))))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 (-.f64 (neg.f64 im) im)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (/.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (/.f64 #s(literal 1 binary64) (sinh.f64 im)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (/.f64 #s(literal -1 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 im))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(/.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 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (exp.f64 im) (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(/.f64 (*.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (exp.f64 im) #s(literal -1 binary64)) (*.f64 (exp.f64 im) (neg.f64 (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (exp.f64 (neg.f64 im))) (sqrt.f64 (exp.f64 im)))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im)))) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im)))) #s(literal -4 binary64)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 im))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (exp.f64 im) (exp.f64 (+.f64 im im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (-.f64 (sinh.f64 im) (cosh.f64 im)))
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(/.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im)))) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal -1 binary64) (cos.f64 re))) (*.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(/.f64 (*.f64 (exp.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im))) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))))
(/.f64 (*.f64 (exp.f64 im) (neg.f64 (cos.f64 re))) (*.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(/.f64 (*.f64 (exp.f64 im) (cos.f64 re)) (*.f64 (exp.f64 im) (/.f64 #s(literal -1 binary64) (sinh.f64 im))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re))) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (cos.f64 re))) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))
(/.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))))
(/.f64 (*.f64 (cos.f64 re) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im)) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)))
(/.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal 1 binary64) (sinh.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (cos.f64 re)))
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(neg.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(neg.f64 (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (sinh.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 re) (neg.f64 (exp.f64 im))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (sinh.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(+.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(+.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 #s(approx (* im (cos re)) im) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im))
(neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (* im (cos re)) im)))
(neg.f64 (*.f64 #s(approx (* im (cos re)) im) #s(literal 1 binary64)))
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))

eval734.0ms (19.1%)

Memory
-62.6MiB live, 564.0MiB allocated; 921ms collecting garbage
Compiler

Compiled 31 881 to 4 633 computations (85.5% saved)

prune111.0ms (2.9%)

Memory
34.1MiB live, 184.2MiB allocated; 72ms collecting garbage
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 90591 914
Fresh5712
Picked415
Done011
Total1 914181 932
Accuracy
100.0%
Counts
1 932 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (cos.f64 re)))
23.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64)))) (cos.f64 re))
48.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
99.6%
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))))
45.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 im im) #s(literal 3 binary64))) (+.f64 (exp.f64 (fma.f64 im #s(literal 3 binary64) im)) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))))) (exp.f64 im)))
46.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))) (exp.f64 im)))
99.8%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
62.7%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
23.9%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
25.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
48.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (cos.f64 re) #s(literal -1 binary64) (*.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))
48.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
35.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
5.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
40.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
61.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
25.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
Compiler

Compiled 353 to 155 computations (56.1% saved)

sample3.0ms (0.1%)

Memory
-43.2MiB live, 2.9MiB allocated; 3ms collecting garbage
Calls
Call 1
Inputs
1/2
1
2
-1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 5 computations (16.7% saved)

series69.0ms (1.8%)

Memory
6.5MiB live, 99.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04181946
Stop Event
iter-limit
Counts
30 → 80
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
im
(exp.f64 im)
#s(literal 1 binary64)
#s(literal 2 binary64)
(neg.f64 im)
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(sinh.f64 (neg.f64 im))
(sinh.f64 im)
(pow.f64 (sinh.f64 im) #s(literal 2 binary64))
#s(approx (* im (cos re)) im)
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(/.f64 #s(literal -1 binary64) im)
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))
(/.f64 #s(literal -1 binary64) (sinh.f64 im))
(/.f64 (sinh.f64 (neg.f64 im)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64)))
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64)))) (cos.f64 re))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
Outputs
#s(approx 1/2 #s(literal 0 binary64))
#s(approx re re)
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (/ (cos re) (/ -1 (sinh im))) (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (/ (cos re) (/ -1 (sinh im))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (/ (cos re) (/ -1 (sinh im))) (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 -1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (/ (cos re) (/ -1 (sinh im))) (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 1/4 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 -1/48 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (neg (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (neg (* im (cos re))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
#s(approx (neg (* im (cos re))) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) im))) im))
#s(approx (neg (* im (cos re))) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) im))) (*.f64 #s(literal -1/2 binary64) im))) im))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #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 (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 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 -1/1440 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (/ (cos re) (/ -1 (sinh im))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (neg (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (+ 1 (* -1 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#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 (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 (pow (sinh im) 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (pow (sinh im) 2) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (pow (sinh im) 2) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/45 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (pow (sinh im) 2) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/315 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#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 (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 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (/ -1 im) (/.f64 #s(literal -1 binary64) im))
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) im))
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -7/360 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 31/15120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 7/360 binary64))))) #s(literal 1 binary64)) im))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/45 binary64) (cos.f64 re)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -2/45 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/315 binary64) (cos.f64 re)) (fma.f64 #s(literal -1/5040 binary64) (cos.f64 re) (fma.f64 #s(literal 1/120 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 #s(literal -2/45 binary64) (cos.f64 re)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))))))))) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (pow (sinh im) 2) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (/ (sinh (neg im)) (pow (sinh im) 2)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)))))
#s(approx (+ 1 (* -1 im)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (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 (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 (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (/ (sinh (neg im)) (pow (sinh im) 2)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))) (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)))))
#s(approx (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
#s(approx (* (/ 1 (/ (sinh (neg im)) (pow (sinh im) 2))) (cos re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (pow.f64 (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
Calls

6 calls:

TimeVariablePoint
12.0ms
im
-inf
5.0ms
im
inf
4.0ms
im
0
3.0ms
re
inf
2.0ms
re
-inf

rewrite157.0ms (4.1%)

Memory
43.3MiB live, 323.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045209
065177
1244156
21368156
04322156
04469156
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
30 → 993
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
re
(cos.f64 re)
im
(exp.f64 im)
#s(literal 1 binary64)
#s(literal 2 binary64)
(neg.f64 im)
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(sinh.f64 (neg.f64 im))
(sinh.f64 im)
(pow.f64 (sinh.f64 im) #s(literal 2 binary64))
#s(approx (* im (cos re)) im)
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(/.f64 #s(literal -1 binary64) im)
#s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))
(/.f64 #s(literal -1 binary64) (sinh.f64 im))
(/.f64 (sinh.f64 (neg.f64 im)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64)))
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64)))) (cos.f64 re))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
Outputs
#s(literal 1/2 binary64)
re
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (cos.f64 re))
(fma.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (cos.f64 re))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (cos.f64 re))
(+.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (cos.f64 re))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (cos.f64 re))
(+.f64 (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
im
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(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))
(/.f64 (exp.f64 im) (*.f64 (neg.f64 (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))) (exp.f64 im)))
(/.f64 (exp.f64 im) (*.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(/.f64 (exp.f64 im) (*.f64 (exp.f64 im) (neg.f64 (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))))
(/.f64 (exp.f64 im) (*.f64 (exp.f64 im) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 re) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(*.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(/.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal -1 binary64) (cos.f64 re))) (*.f64 (exp.f64 im) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1 binary64))) (*.f64 (exp.f64 im) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 (exp.f64 im) (neg.f64 (cos.f64 re))) (*.f64 (exp.f64 im) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 (exp.f64 im) (cos.f64 re)) (*.f64 (exp.f64 im) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 re))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 re))) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 re))) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64))) (neg.f64 (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(/.f64 (/.f64 (cos.f64 re) #s(literal 1 binary64)) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 re))) (neg.f64 (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(/.f64 (neg.f64 (cos.f64 re)) (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)) (cos.f64 re)))
(/.f64 (cos.f64 re) (*.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
(/.f64 (cos.f64 re) (neg.f64 (neg.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (cos.f64 re) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))

eval103.0ms (2.7%)

Memory
-4.2MiB live, 233.8MiB allocated; 67ms collecting garbage
Compiler

Compiled 17 628 to 3 276 computations (81.4% saved)

prune28.0ms (0.7%)

Memory
4.2MiB live, 52.3MiB allocated; 5ms collecting garbage
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1 090111 101
Fresh3811
Picked415
Done022
Total1 097221 119
Accuracy
100.0%
Counts
1 119 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.8%
(/.f64 (/.f64 (neg.f64 (cos.f64 re)) (sinh.f64 im)) (pow.f64 (sinh.f64 im) #s(literal -2 binary64)))
23.3%
(/.f64 (*.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (cos.f64 re)) (sinh.f64 (neg.f64 im)))
48.6%
(/.f64 (cos.f64 re) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))
48.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)) (cos.f64 re)))
23.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(approx (pow (sinh im) 2) (pow.f64 im #s(literal 2 binary64))))) (cos.f64 re))
23.3%
(*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (*.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (cos.f64 re)))
46.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))) (exp.f64 im)))
99.8%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
62.7%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
23.9%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
25.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
48.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (cos.f64 re) #s(literal -1 binary64) (*.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))
40.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
48.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
35.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
2.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx 1/2 #s(literal 0 binary64)) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
5.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
22.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
5.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
40.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
61.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
25.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
Compiler

Compiled 205 to 83 computations (59.5% saved)

regimes164.0ms (4.3%)

Memory
2.5MiB live, 289.1MiB allocated; 10ms collecting garbage
Counts
4 → 1
10 → 1
17 → 2
19 → 3
24 → 3
43 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
Call 2
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx 1/2 #s(literal 0 binary64)) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
Call 3
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx 1/2 #s(literal 0 binary64)) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
Call 4
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx 1/2 #s(literal 0 binary64)) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
Call 5
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx 1/2 #s(literal 0 binary64)) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (cos.f64 re) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)) (cos.f64 re)))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
Call 6
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx 1/2 #s(literal 0 binary64)) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (cos.f64 re) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im))) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 2 (neg (* 2 (sinh im)))) (/.f64 #s(literal -1 binary64) im)) (cos.f64 re)))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
(*.f64 (sinh.f64 (/.f64 (*.f64 im (neg.f64 im)) im)) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (cos.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 #s(approx (neg (- (exp (+ im im)) 1)) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (*.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(approx (pow (sinh im) 2) (pow.f64 im #s(literal 2 binary64))))) (cos.f64 re))
(/.f64 (*.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (cos.f64 re)) (sinh.f64 (neg.f64 im)))
(/.f64 (/.f64 (neg.f64 (cos.f64 re)) (sinh.f64 im)) (pow.f64 (sinh.f64 im) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (*.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64)))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 im im) #s(literal 3 binary64))) (+.f64 (exp.f64 (fma.f64 im #s(literal 3 binary64) im)) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (cos.f64 re) #s(literal -1 binary64) (*.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))))))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
Calls

29 calls:

11.0ms
im
10.0ms
re
10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms
(cos.f64 re)
9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
25.9%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
25.9%1re
25.9%1(cos.f64 re)
25.9%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
25.9%1im
25.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
61.4%1re
61.4%1(cos.f64 re)
61.4%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
61.4%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
63.5%2re
73.7%2(cos.f64 re)
73.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
61.4%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
61.4%1im
73.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
95.7%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
86.8%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
79.5%3(cos.f64 re)
79.5%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.7%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
74.2%2re
88.7%3im
99.8%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
99.8%1(cos.f64 re)
99.8%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.8%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
99.8%1re
99.8%1im
Compiler

Compiled 616 to 279 computations (54.7% saved)

bsearch1.0ms (0.0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.11251679988282e-9
+inf
0.0ms
-0.0005458815223730595
-0.0002736394939510791
Compiler

Compiled 26 to 25 computations (3.8% saved)

bsearch1.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.11251679988282e-9
+inf
0.0ms
-0.0005458815223730595
-0.0002736394939510791
Compiler

Compiled 26 to 25 computations (3.8% saved)

bsearch0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.6511896972616053e-9
Compiler

Compiled 26 to 25 computations (3.8% saved)

derivations71.0ms (1.8%)

Memory
-23.1MiB live, 74.9MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 134 to 36 computations (73.1% saved)

preprocess53.0ms (1.4%)

Memory
-0.9MiB live, 93.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 958 to 554 computations (42.2% saved)

end0.0ms (0.0%)

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

Profiling

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