math.cos on complex, real part

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.5s (46.8%)

Memory
40.6MiB live, 2 149.2MiB allocated; 449ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 922.0ms
ival-cos: 486.0ms (52.7% of total)
ival-mult!: 230.0ms (25% of total)
ival-exp: 149.0ms (16.2% of total)
ival-neg: 36.0ms (3.9% of total)
ival-add!: 19.0ms (2.1% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

preprocess48.0ms (1.5%)

Memory
-5.9MiB live, 89.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02668
113054
251032
3343132
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Symmetry

(abs re)

(abs im)

Compiler

Compiled 22 to 20 computations (9.1% saved)

series19.0ms (0.6%)

Memory
18.7MiB live, 63.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158616
Stop Event
iter-limit
Counts
10 → 37
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (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 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx im im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
Calls

6 calls:

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

rewrite187.0ms (5.8%)

Memory
13.2MiB live, 251.5MiB allocated; 114ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
01733
16629
234425
3205225
0409325
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 515
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (cos.f64 re) (cosh.f64 im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))) (exp.f64 im))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (cos.f64 re)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)))) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (fma.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (fma.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (fma.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (exp.f64 im)))
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#s(literal 1/2 binary64)
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re
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(*.f64 (sqrt.f64 (neg.f64 (exp.f64 im))) (sqrt.f64 (neg.f64 (exp.f64 im))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) (sinh.f64 im))) (sinh.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))) (cosh.f64 im))
(*.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) (cosh.f64 im))) (cosh.f64 im))
(pow.f64 (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.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 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im))) (neg.f64 (exp.f64 (neg.f64 im))))
(/.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)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (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)) (neg.f64 (*.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) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 im) (sinh.f64 im))) (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 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(neg.f64 (neg.f64 (exp.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (sinh.f64 im))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (sinh.f64 im))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sinh.f64 im))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(-.f64 (sinh.f64 im) (neg.f64 (cosh.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 im)))))
(fabs.f64 (neg.f64 (exp.f64 im)))
(fabs.f64 (exp.f64 im))
(exp.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) im)))
(exp.f64 (neg.f64 (*.f64 im #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) im)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 im #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(exp.f64 (/.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 im im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 im im))) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64)))
(exp.f64 im)
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval61.0ms (1.9%)

Memory
-8.5MiB live, 133.7MiB allocated; 21ms collecting garbage
Compiler

Compiled 10 347 to 1 851 computations (82.1% saved)

prune9.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New5403543
Fresh000
Picked101
Done000
Total5413544
Accuracy
100.0%
Counts
544 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
100.0%
(*.f64 (cosh.f64 im) (cos.f64 re))
60.0%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 31 to 29 computations (6.5% saved)

series20.0ms (0.6%)

Memory
-13.1MiB live, 33.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200820
Stop Event
iter-limit
Counts
16 → 45
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
(cos.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (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 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (* (cosh im) (cos re)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (cosh im) (cos re)) (fma.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)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (cosh 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 #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)))))))))
#s(approx (* (cosh 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 -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (* (cosh 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 (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx im im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
Calls

6 calls:

TimeVariablePoint
6.0ms
re
inf
2.0ms
im
-inf
2.0ms
im
inf
1.0ms
re
-inf
1.0ms
re
0

rewrite146.0ms (4.5%)

Memory
2.0MiB live, 241.7MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02270
03170
18362
236462
3211862
0467562
Stop Event
iter-limit
node-limit
iter-limit
Counts
16 → 711
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
(cos.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (neg.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 im)))
(/.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))) (exp.f64 im))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im))
(/.f64 (fma.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))) (-.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (fma.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))) (-.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 im))))
(neg.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))
(fma.f64 (*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64) (fma.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))
(fma.f64 (*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64) (fma.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (neg.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (fma.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))
(fma.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (fma.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (fma.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (fma.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (exp.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (cosh.f64 im) (fma.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (cosh.f64 im) (fma.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (cosh.f64 im) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (cosh.f64 im) (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (neg.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (exp.f64 im)))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (neg.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im))))
(-.f64 (*.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im))))
(-.f64 (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (exp.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (cos.f64 re)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 2 binary64))
(/.f64 (cos.f64 re) #s(literal 2 binary64))
(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(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)

eval183.0ms (5.7%)

Memory
-21.3MiB live, 233.9MiB allocated; 166ms collecting garbage
Compiler

Compiled 16 515 to 2 599 computations (84.3% saved)

prune18.0ms (0.6%)

Memory
1.3MiB live, 48.7MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New7826788
Fresh000
Picked213
Done000
Total7847791
Accuracy
100.0%
Counts
791 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im))
53.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
34.1%
(*.f64 (*.f64 #s(literal 1/2 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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
27.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
60.3%
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
60.0%
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
26.4%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)))))
Compiler

Compiled 193 to 174 computations (9.8% saved)

series31.0ms (1%)

Memory
22.0MiB live, 68.5MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03291618
Stop Event
iter-limit
Counts
27 → 71
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(cosh.f64 im)
im
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im))
(*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))
(exp.f64 (+.f64 im im))
(+.f64 im im)
#s(literal -1 binary64)
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(exp.f64 im)
Outputs
#s(approx (* (cosh im) (cos re)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (cosh im) (cos re)) (fma.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)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (cosh 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 #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)))))))))
#s(approx (* (cosh 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 -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* -1/2 (pow re 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (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 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (* (cosh 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 (cos re) (cos.f64 re))
#s(approx (+ 1 (* -1/2 (pow re 2))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 im)) -1) (* 1/2 (cos re))) (*.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 (* (cosh im) (cos re)) (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
#s(approx (* (cosh im) (cos re)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
#s(approx (* (cosh im) (cos re)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx im im)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (exp im)) (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cos.f64 re))))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (exp im)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (+.f64 (cos.f64 re) (*.f64 #s(literal 4/3 binary64) (cos.f64 re))) (fma.f64 #s(literal 1/3 binary64) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cos.f64 re)))))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (exp im)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cos.f64 re)) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 re) (fma.f64 #s(literal 2/3 binary64) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re)))) (+.f64 (cos.f64 re) (fma.f64 #s(literal 1/12 binary64) (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cos.f64 re)) (*.f64 #s(literal 4/3 binary64) (cos.f64 re))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (cos.f64 re) (*.f64 #s(literal 4/3 binary64) (cos.f64 re))) (fma.f64 #s(literal 1/3 binary64) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re)))))))))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (+.f64 (cos.f64 re) (*.f64 im (cos.f64 re))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (+.f64 (cos.f64 re) (*.f64 im (+.f64 (cos.f64 re) (*.f64 im (cos.f64 re))))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (+.f64 (cos.f64 re) (*.f64 im (+.f64 (cos.f64 re) (*.f64 im (+.f64 (cos.f64 re) (*.f64 #s(literal 2/3 binary64) (*.f64 im (cos.f64 re)))))))))
#s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im)))
#s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im)))))
#s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.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)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))
#s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im)))))
#s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) im)))))))
#s(approx (+ im im) (*.f64 #s(literal 2 binary64) 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)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))
#s(approx (exp (+ im im)) (exp.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (exp im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))) (exp.f64 im))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (*.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 (- (exp (+ im im)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))
#s(approx (exp (+ im im)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))
Calls

6 calls:

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

rewrite173.0ms (5.4%)

Memory
6.3MiB live, 281.0MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033170
049170
1176159
2636159
33750159
04052154
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 641
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(cosh.f64 im)
im
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im))
(*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))
(exp.f64 (+.f64 im im))
(+.f64 im im)
#s(literal -1 binary64)
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 im))
(*.f64 (cosh.f64 im) (/.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 im)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(neg.f64 (/.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (exp.f64 im))
(/.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (exp.f64 im)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (exp.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (sinh.f64 im))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))) (sinh.f64 (neg.f64 im)))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64)))) (+.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (cosh.f64 im) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cosh.f64 im)))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(cosh.f64 (-.f64 im #s(literal 0 binary64)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 #s(literal 0 binary64) im))) (*.f64 #s(literal 0 binary64) (sinh.f64 (+.f64 #s(literal 0 binary64) im))))
(-.f64 (/.f64 (+.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 im)) #s(literal 2 binary64)))
(-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64)))
(-.f64 (cosh.f64 im) (*.f64 #s(literal 0 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) #s(literal 2 binary64)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 im) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
im
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
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(+.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))))
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(+.f64 (sinh.f64 (+.f64 im im)) (cosh.f64 (+.f64 im im)))
(+.f64 (cosh.f64 (+.f64 im im)) (sinh.f64 (+.f64 im im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) im)) im)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im im)) im)
(*.f64 (+.f64 im im) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal 2 binary64) im)
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(/.f64 (-.f64 (*.f64 im im) (*.f64 (neg.f64 im) (neg.f64 im))) (+.f64 im (neg.f64 im)))
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(+.f64 im im)
#s(literal -1 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
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(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(+.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) (sinh.f64 im))) (sinh.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))) (cosh.f64 im))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 im))) (sqrt.f64 (neg.f64 (exp.f64 im))))
(*.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) (cosh.f64 im))) (cosh.f64 im))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (sinh.f64 im) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (fma.f64 (sinh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.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) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.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 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im))) (neg.f64 (exp.f64 (neg.f64 im))))
(/.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 (+.f64 im im)) #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 (*.f64 (sinh.f64 im) (sinh.f64 im)) (neg.f64 (/.f64 (sinh.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)) (neg.f64 (*.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) (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 (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) (neg.f64 (*.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 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 im) (sinh.f64 im))) (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 (*.f64 (sinh.f64 im) (sinh.f64 im)) (/.f64 (sinh.f64 (+.f64 im im)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(neg.f64 (neg.f64 (exp.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sinh.f64 im))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sinh.f64 im))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sinh.f64 im))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64) (sinh.f64 im))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) (cosh.f64 im))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (sinh.f64 im)))
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(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (sinh.f64 im))
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(-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (sinh.f64 im)))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 im))))
(-.f64 (sinh.f64 im) (neg.f64 (cosh.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(fabs.f64 (neg.f64 (exp.f64 im)))
(fabs.f64 (exp.f64 im))
(exp.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64)))
(exp.f64 im)
(+.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))))
(+.f64 (+.f64 (sinh.f64 im) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (sinh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (sinh.f64 im)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sinh.f64 (neg.f64 im))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (sinh.f64 im)))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sinh.f64 (neg.f64 im))))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval98.0ms (3%)

Memory
3.0MiB live, 144.1MiB allocated; 55ms collecting garbage
Compiler

Compiled 20 078 to 2 697 computations (86.6% saved)

prune42.0ms (1.3%)

Memory
-14.2MiB live, 33.4MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New8216827
Fresh101
Picked325
Done011
Total8259834
Accuracy
100.0%
Counts
834 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
26.4%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 (+.f64 im im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
34.1%
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
53.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
34.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
34.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
27.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
60.3%
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
60.0%
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
Compiler

Compiled 275 to 229 computations (16.7% saved)

series99.0ms (3.1%)

Memory
-19.7MiB live, 127.2MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03891938
Stop Event
iter-limit
Counts
39 → 86
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cosh.f64 im)
im
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))
(exp.f64 (+.f64 im im))
(+.f64 im im)
#s(literal -1 binary64)
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (log.f64 re) #s(literal 2 binary64))
(log.f64 re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))
(pow.f64 re #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (* (cosh im) (cos re)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (cosh im) (cos re)) (fma.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)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (cosh 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 #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)))))))))
#s(approx (* (cosh 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 -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx re re)
#s(approx (* (* (+ (exp (neg im)) (exp im)) (cos re)) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* (+ (exp (neg im)) (exp im)) (cos re)) 1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* (+ (exp (neg im)) (exp im)) (cos re)) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
#s(approx (* (* (+ (exp (neg im)) (exp im)) (cos re)) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (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 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (+.f64 (exp.f64 im) (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (+.f64 (exp.f64 im) (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (+.f64 (exp.f64 im) (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 (* 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 (exp (* (log re) 2))) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (* (log re) 2) (*.f64 #s(literal 2 binary64) (log.f64 re)))
#s(approx (log re) (log.f64 re))
#s(approx (pow re -2) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (* (cosh 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 (cos re) (cos.f64 re))
#s(approx (+ (* (* re re) -1/2) 1) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (* (+ (exp (neg im)) (exp im)) (cos re)) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (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 im)) -1) (* 1/2 (cos re))) (*.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 (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (* (log re) 2) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (cosh im) (cos re)) (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
#s(approx (* (cosh im) (cos re)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
#s(approx (* (cosh im) (cos re)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx im im)
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (cos.f64 re) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/12 binary64) (cos.f64 re))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (exp im)) (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cos.f64 re))))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (exp im)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (+.f64 (cos.f64 re) (*.f64 #s(literal 4/3 binary64) (cos.f64 re))) (fma.f64 #s(literal 1/3 binary64) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cos.f64 re)))))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (exp im)) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cos.f64 re)) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 re) (fma.f64 #s(literal 2/3 binary64) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re)))) (+.f64 (cos.f64 re) (fma.f64 #s(literal 1/12 binary64) (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cos.f64 re)) (*.f64 #s(literal 4/3 binary64) (cos.f64 re))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (cos.f64 re) (*.f64 #s(literal 4/3 binary64) (cos.f64 re))) (fma.f64 #s(literal 1/3 binary64) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re)))))))))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (+.f64 (cos.f64 re) (*.f64 im (cos.f64 re))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (+.f64 (cos.f64 re) (*.f64 im (+.f64 (cos.f64 re) (*.f64 im (cos.f64 re))))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (+.f64 (cos.f64 re) (*.f64 im (+.f64 (cos.f64 re) (*.f64 im (+.f64 (cos.f64 re) (*.f64 #s(literal 2/3 binary64) (*.f64 im (cos.f64 re)))))))))
#s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im)))
#s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im)))))
#s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.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)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))
#s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im)))))
#s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) im)))))))
#s(approx (+ im im) (*.f64 #s(literal 2 binary64) 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 (+ im im)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))
#s(approx (exp (+ im im)) (exp.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* (+ (exp (neg im)) (exp im)) (cos re)) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* (+ (exp (neg im)) (exp im)) (cos re)) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (/ (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (exp im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))) (exp.f64 im))))
#s(approx (* (- (exp (+ im im)) -1) (* 1/2 (cos re))) (*.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 (- (exp (+ im im)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))
#s(approx (exp (+ im im)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))
Calls

6 calls:

TimeVariablePoint
34.0ms
re
0
11.0ms
re
-inf
9.0ms
re
inf
2.0ms
im
-inf
2.0ms
im
inf

rewrite128.0ms (4%)

Memory
20.8MiB live, 161.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045296
071264
1283254
2921254
04181254
Stop Event
iter-limit
node-limit
iter-limit
Counts
39 → 1 178
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cosh.f64 im)
im
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64))
(exp.f64 (+.f64 im im))
(+.f64 im im)
#s(literal -1 binary64)
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (log.f64 re) #s(literal 2 binary64))
(log.f64 re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))
(pow.f64 re #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 im))
(*.f64 (cosh.f64 im) (/.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(neg.f64 (*.f64 (neg.f64 (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(neg.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 (cosh.f64 im))))
(neg.f64 (/.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (exp.f64 im)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (exp.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (sinh.f64 im))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))) (sinh.f64 (neg.f64 im)))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64)))) (+.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 im)))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(neg.f64 (neg.f64 (cosh.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(-.f64 (/.f64 (+.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 im)) #s(literal 2 binary64)))
(-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (/.f64 (exp.f64 im) #s(literal -2 binary64)))
(+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
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(+.f64 (*.f64 re re) (*.f64 #s(literal 0 binary64) (*.f64 re re)))
(+.f64 (*.f64 re re) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 (*.f64 re re) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))))
(*.f64 (pow.f64 re #s(literal -1 binary64)) (pow.f64 re #s(literal -1 binary64)))
(*.f64 (pow.f64 re (/.f64 #s(literal -2 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal -2 binary64) #s(literal 2 binary64))))
(pow.f64 (*.f64 re re) #s(literal -1 binary64))
(pow.f64 re #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cosh.f64 (log.f64 re)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (log.f64 re)) #s(literal 2 binary64)))) (pow.f64 (sinh.f64 (log.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal -2 binary64)))
(fma.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (*.f64 re re))))
(-.f64 (*.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)))))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)))
(+.f64 (*.f64 (fma.f64 re re (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal -2 binary64)))
#s(literal -2 binary64)

eval121.0ms (3.7%)

Memory
1.1MiB live, 230.3MiB allocated; 44ms collecting garbage
Compiler

Compiled 27 878 to 3 962 computations (85.8% saved)

prune25.0ms (0.8%)

Memory
13.8MiB live, 58.9MiB allocated; 6ms collecting garbage
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New9307937
Fresh101
Picked235
Done033
Total93313946
Accuracy
100.0%
Counts
946 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(fma.f64 (exp.f64 (+.f64 im im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64))))))
27.3%
(/.f64 (*.f64 (-.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
45.1%
(/.f64 (*.f64 #s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
59.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp im) (-.f64 im #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
34.1%
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
34.1%
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
53.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
34.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
34.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
34.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (*.f64 re re))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
27.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
60.3%
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
60.0%
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
Compiler

Compiled 269 to 217 computations (19.3% saved)

regimes190.0ms (5.9%)

Memory
-17.8MiB live, 263.4MiB allocated; 31ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
2 → 1
6 → 2
20 → 2
21 → 3
23 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Call 2
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
Outputs
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
Call 3
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
Outputs
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
Call 4
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp im) (-.f64 im #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (*.f64 re re))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im))
(fma.f64 (exp.f64 (+.f64 im im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 (+.f64 im im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)))))
Outputs
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
Call 5
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp im) (-.f64 im #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (*.f64 re re))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im))
(fma.f64 (exp.f64 (+.f64 im im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 (+.f64 im im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
Call 6
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (- (exp (+ im im)) -1) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp im) (-.f64 im #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (*.f64 re re))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (exp.f64 im))
(fma.f64 (exp.f64 (+.f64 im im)) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (fma.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (exp.f64 (+.f64 im im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))
Calls

33 calls:

51.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
20.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms
im
9.0ms
(cos.f64 re)
6.0ms
re
Results
AccuracySegmentsBranch
27.3%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
27.3%1(cos.f64 re)
27.3%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
27.3%1re
27.3%1im
27.3%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
60.0%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
60.0%1re
60.0%1im
60.0%1(cos.f64 re)
60.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
60.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
62.5%2re
69.6%2(cos.f64 re)
69.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
69.6%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
74.8%2(cos.f64 re)
74.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
62.3%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
65.1%3im
74.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
87.9%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
77.0%2(cos.f64 re)
77.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
74.3%2re
90.2%3im
100.0%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
100.0%1(cos.f64 re)
100.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
100.0%1re
100.0%1im
Compiler

Compiled 573 to 272 computations (52.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999588
1.0
0.0ms
-inf
-0.999861956879176
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04426393398282522
0.0018474575302725035
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04426393398282522
0.0018474575302725035
Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations56.0ms (1.7%)

Memory
25.4MiB live, 82.1MiB allocated; 27ms collecting garbage
Stop Event
fuel
Compiler

Compiled 161 to 42 computations (73.9% saved)

preprocess60.0ms (1.9%)

Memory
-3.8MiB live, 127.9MiB allocated; 32ms collecting garbage
Remove

(abs im)

(abs re)

Compiler

Compiled 816 to 500 computations (38.7% saved)

end0.0ms (0%)

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

Profiling

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