math.cos on complex, real part

Time bar (total: 5.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.4s (25.2%)

Memory
21.2MiB live, 2 559.6MiB allocated; 423ms collecting garbage
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 625.0ms
ival-cos: 279.0ms (44.7% of total)
ival-exp: 158.0ms (25.3% of total)
ival-mult!: 102.0ms (16.3% of total)
ival-neg: 61.0ms (9.8% of total)
ival-add!: 23.0ms (3.7% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess59.0ms (1.1%)

Memory
-20.4MiB live, 65.3MiB allocated; 22ms 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 20 to 20 computations (0% saved)

series20.0ms (0.4%)

Memory
11.5MiB live, 52.7MiB allocated; 7ms 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:

TimeVariablePointExpression
1.0ms
im
@0
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
re
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
re
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))

rewrite398.0ms (7.2%)

Memory
40.7MiB live, 495.8MiB allocated; 204ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
01733
16629
234425
3205225
0847625
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 1 079
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 2 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (cos.f64 re) #s(literal 1 binary64)) (cosh.f64 im))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(*.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1 binary64))
(*.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 1 binary64) (/.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (cos.f64 re)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cosh.f64 im) (/.f64 (cos.f64 re) #s(literal 1 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 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 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 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (exp.f64 im) (cos.f64 re) (*.f64 (cosh.f64 im) (cos.f64 re))) #s(literal 2 binary64)) (/.f64 (fma.f64 (exp.f64 im) (cos.f64 re) (*.f64 (cosh.f64 im) (cos.f64 re))) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)) (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)))) (-.f64 (/.f64 (fma.f64 (exp.f64 im) (cos.f64 re) (*.f64 (cosh.f64 im) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re))))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 re) (exp.f64 (neg.f64 im)) (*.f64 (cosh.f64 im) (cos.f64 re))) #s(literal 2 binary64)) (/.f64 (fma.f64 (cos.f64 re) (exp.f64 (neg.f64 im)) (*.f64 (cosh.f64 im) (cos.f64 re))) #s(literal 2 binary64))) (*.f64 (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (fma.f64 (cos.f64 re) (exp.f64 (neg.f64 im)) (*.f64 (cosh.f64 im) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 0 binary64)))) (*.f64 (*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re))))) (-.f64 (*.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 im)))) (*.f64 (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)) (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)))) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 im))) (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (cosh.f64 im))) (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (cosh.f64 im)))) (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (cosh.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (sinh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)) (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)))) (-.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (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 (sinh.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 (cosh.f64 im) (*.f64 (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)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (fma.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))) (-.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))) (-.f64 (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))) (-.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)))))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) (-.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) (-.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))) (+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))))) (+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)))) (+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (fma.f64 (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64))))))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) (+.f64 (sin.f64 (-.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) (+.f64 (sin.f64 (-.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re))) (+.f64 (sin.f64 (-.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 re)) (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 re)) (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 re)) (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) (sin.f64 (-.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) re)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 re)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re))
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 re))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 re))))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 re))))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)))
(-.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 re)))))
(cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 (fabs.f64 re))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 re))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (+.f64 (cosh.f64 im) (exp.f64 im)))) (+.f64 (cosh.f64 im) (exp.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (cosh.f64 im))) (cosh.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 im)))) (+.f64 (cosh.f64 im) (exp.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 im)) (cosh.f64 im))) (cosh.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) (exp.f64 im))) (exp.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 im #s(literal -2 binary64)))) (exp.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) (exp.f64 (neg.f64 im)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(literal -2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 im) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 im) (neg.f64 (exp.f64 im))) #s(literal 1 binary64)) (neg.f64 (exp.f64 im)))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (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 (-.f64 (*.f64 (exp.f64 (-.f64 (+.f64 im im) im)) (exp.f64 (-.f64 (+.f64 im im) im))) (exp.f64 (*.f64 im #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (-.f64 (exp.f64 im) (sinh.f64 im))) (*.f64 (cosh.f64 im) (cosh.f64 im))) (-.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (cosh.f64 im)))
(/.f64 (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (+.f64 (cosh.f64 im) (exp.f64 im)))) (-.f64 (sinh.f64 (neg.f64 im)) (+.f64 (cosh.f64 im) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))))) (-.f64 (sinh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))))
(/.f64 (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (*.f64 (neg.f64 (-.f64 (sinh.f64 im) (exp.f64 im))) (neg.f64 (-.f64 (sinh.f64 im) (exp.f64 im))))) (-.f64 (cosh.f64 im) (neg.f64 (-.f64 (sinh.f64 im) (exp.f64 im)))))
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(/.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 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sinh.f64 im))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (/.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (sinh.f64 im))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sinh.f64 im))
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64) (sinh.f64 im))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (sinh.f64 im))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 im)))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cosh.f64 im))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 im)))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.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) (/.f64 (sinh.f64 im) #s(literal 1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sinh.f64 im))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (sinh.f64 im))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (sinh.f64 im))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sinh.f64 im))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 im im))))
(sqrt.f64 (*.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64)))
(-.f64 (sinh.f64 im) (neg.f64 (cosh.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (exp.f64 im) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (exp.f64 im)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.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 (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(exp.f64 (+.f64 #s(literal 0 binary64) im))
(exp.f64 (+.f64 im #s(literal 0 binary64)))
(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 (*.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 (/.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))
(+.f64 (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))

eval112.0ms (2%)

Memory
17.8MiB live, 248.6MiB allocated; 24ms collecting garbage
Compiler

Compiled 13 031 to 3 524 computations (73% saved)

prune17.0ms (0.3%)

Memory
0.3MiB live, 46.8MiB allocated; 2ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1 10431 107
Fresh000
Picked101
Done000
Total1 10531 108
Accuracy
100.0%
Counts
1 108 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(*.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))
66.8%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 29 to 29 computations (0% saved)

series17.0ms (0.3%)

Memory
-8.0MiB live, 38.6MiB allocated; 3ms 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:

TimeVariablePointExpression
3.0ms
im
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im) (* (cosh im) (cos re)) (cosh im) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 2)
3.0ms
re
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im) (* (cosh im) (cos re)) (cosh im) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 2)
2.0ms
im
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im) (* (cosh im) (cos re)) (cosh im) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 2)
1.0ms
re
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im) (* (cosh im) (cos re)) (cosh im) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 2)
1.0ms
re
@0
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im) (* (cosh im) (cos re)) (cosh im) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 2)

rewrite342.0ms (6.2%)

Memory
10.8MiB live, 536.7MiB allocated; 99ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02270
03170
18362
236462
3211862
0897862
Stop Event
iter-limit
node-limit
iter-limit
Counts
16 → 1 676
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 (+.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.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)))) (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 (*.f64 (*.f64 (sinh.f64 (neg.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 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 (+.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.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)))) (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 (*.f64 (*.f64 (sinh.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 (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 (pow.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.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)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (-.f64 (*.f64 (*.f64 (sinh.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)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.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)) (+.f64 (cosh.f64 im) (exp.f64 im))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 im))) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.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 (*.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)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sinh.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 (+.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)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.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 (*.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)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (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))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.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 (*.f64 (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 (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)))) (*.f64 (*.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)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (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)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.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 (*.f64 (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 (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))))) (*.f64 (*.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))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 im) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.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)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.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 (*.f64 (-.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)))) (-.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))))) (*.f64 (*.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))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.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)) (-.f64 (exp.f64 im) (sinh.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.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 (*.f64 (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im)))) (*.f64 (*.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)))))))
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(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.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 (pow.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64))) (*.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))))))
(/.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 (cos.f64 re) #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) #s(literal -2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #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 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 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))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.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)))
(+.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)

eval821.0ms (14.9%)

Memory
-125.2MiB live, 421.5MiB allocated; 874ms collecting garbage
Compiler

Compiled 20 782 to 5 457 computations (73.7% saved)

prune87.0ms (1.6%)

Memory
-17.2MiB live, 79.0MiB allocated; 24ms collecting garbage
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1 75961 765
Fresh000
Picked123
Done000
Total1 76081 768
Accuracy
100.0%
Counts
1 768 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
35.6%
(*.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)))
30.8%
(*.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)))
100.0%
(*.f64 (cosh.f64 im) (cos.f64 re))
65.8%
(*.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))))))
66.8%
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
55.8%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 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)))))))))
31.6%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Compiler

Compiled 191 to 191 computations (0% saved)

series21.0ms (0.4%)

Memory
35.2MiB live, 35.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02601225
Stop Event
iter-limit
Counts
35 → 67
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(cosh.f64 im)
im
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#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) (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))))))
#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))))
(*.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
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 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)))))))))
(+.f64 (exp.f64 (neg.f64 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) (+.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)))))))
(+.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))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))
(*.f64 #s(literal 1/6 binary64) im)
#s(literal 1/6 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 (* (* 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 (* -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 (* (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 #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 (+ 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 (* (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 (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 (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 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
#s(approx (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(approx (+ 1 (* im (+ 1/2 (* 1/6 im)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
#s(approx (+ 1 (* im (+ 1/2 (* 1/6 im)))) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))
#s(approx (* im (+ 1/2 (* 1/6 im))) (*.f64 #s(literal 1/2 binary64) im))
#s(approx (* im (+ 1/2 (* 1/6 im))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))
#s(approx (+ 1/2 (* 1/6 im)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))
#s(approx (* 1/6 im) (*.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 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))
#s(approx (+ 1 (* im (+ 1/2 (* 1/6 im)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ 1 (* im (+ 1/2 (* 1/6 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (+ 1 (* im (+ 1/2 (* 1/6 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* 1/6 im)) (*.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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)))
#s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64)))))
#s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) im)) #s(literal 1/6 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
im
@-inf
((* (cosh im) (cos re)) (cosh im) im (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))) (+ 1 (* im (+ 1/2 (* 1/6 im)))) (* im (+ 1/2 (* 1/6 im))) (+ 1/2 (* 1/6 im)) (* 1/6 im) 1/6)
3.0ms
im
@inf
((* (cosh im) (cos re)) (cosh im) im (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))) (+ 1 (* im (+ 1/2 (* 1/6 im)))) (* im (+ 1/2 (* 1/6 im))) (+ 1/2 (* 1/6 im)) (* 1/6 im) 1/6)
2.0ms
re
@inf
((* (cosh im) (cos re)) (cosh im) im (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))) (+ 1 (* im (+ 1/2 (* 1/6 im)))) (* im (+ 1/2 (* 1/6 im))) (+ 1/2 (* 1/6 im)) (* 1/6 im) 1/6)
2.0ms
re
@-inf
((* (cosh im) (cos re)) (cosh im) im (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))) (+ 1 (* im (+ 1/2 (* 1/6 im)))) (* im (+ 1/2 (* 1/6 im))) (+ 1/2 (* 1/6 im)) (* 1/6 im) 1/6)
1.0ms
im
@0
((* (cosh im) (cos re)) (cosh im) im (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (pow re 2))) (* -1/2 (pow re 2)) -1/2 (pow re 2) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))) (+ 1 (* im (+ 1/2 (* 1/6 im)))) (* im (+ 1/2 (* 1/6 im))) (+ 1/2 (* 1/6 im)) (* 1/6 im) 1/6)

rewrite929.0ms (16.8%)

Memory
-21.3MiB live, 350.2MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041265
063265
1276259
21156259
34912259
08129237
Stop Event
iter-limit
node-limit
iter-limit
Counts
35 → 1 073
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(cosh.f64 im)
im
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#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) (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))))))
#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))))
(*.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
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 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)))))))))
(+.f64 (exp.f64 (neg.f64 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) (+.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)))))))
(+.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))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))
(*.f64 #s(literal 1/6 binary64) im)
#s(literal 1/6 binary64)
Outputs
(*.f64 (*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))
(*.f64 (cosh.f64 im) (/.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 2 binary64)) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 2 binary64)) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 2 binary64)) (cosh.f64 im))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 binary64))))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 binary64))))
(fma.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 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 (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 -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 #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 (*.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 1 binary64) (cosh.f64 im))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64))))
(/.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 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (exp.f64 im)) #s(literal 2 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 (-.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 (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 (*.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 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 -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))))
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(/.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))))))
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#s(literal 1/6 binary64)

eval292.0ms (5.3%)

Memory
16.0MiB live, 300.0MiB allocated; 96ms collecting garbage
Compiler

Compiled 14 867 to 5 323 computations (64.2% saved)

prune55.0ms (1%)

Memory
5.8MiB live, 100.0MiB allocated; 25ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1 345111 356
Fresh011
Picked325
Done022
Total1 348161 364
Accuracy
100.0%
Counts
1 364 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
31.6%
(*.f64 (+.f64 #s(approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.f64 im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
35.6%
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
50.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
35.6%
(*.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)))
38.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
0.0%
(*.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 (neg.f64 re)) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
35.6%
(*.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)))
30.8%
(*.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)))
100.0%
(*.f64 (cosh.f64 im) (cos.f64 re))
65.8%
(*.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))))))
66.8%
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
31.6%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (E.f64) (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
33.6%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))))
37.6%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
55.7%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))))
Compiler

Compiled 506 to 504 computations (0.4% saved)

series87.0ms (1.6%)

Memory
-1.3MiB live, 141.3MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02951379
Stop Event
iter-limit
Counts
46 → 77
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(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#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 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 re re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))) #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) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(*.f64 (*.f64 re re) (*.f64 re re))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
#s(approx (exp (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)))))
(+.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))))
(*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
(-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 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)
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 (* (* (+ (exp (neg im)) (exp im)) 1/2) (cos re)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* (+ (exp (neg im)) (exp im)) 1/2) (cos re)) (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)) 1/2) (cos re)) (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)) 1/2) (cos re)) (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 (* (* re re) (* re re)) (pow.f64 re #s(literal 4 binary64)))
#s(approx (* (log re) 2) (*.f64 #s(literal 2 binary64) (log.f64 re)))
#s(approx (log re) (log.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 (* -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 (* (* (+ (exp (neg im)) (exp im)) 1/2) (cos re)) (*.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 (* (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)) #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 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)) (*.f64 #s(literal -1 binary64) im))
#s(approx (* im (- (* im (+ 1/2 (* -1/6 im))) 1)) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
#s(approx (* im (- (* im (+ 1/2 (* -1/6 im))) 1)) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
#s(approx (- (* im (+ 1/2 (* -1/6 im))) 1) #s(literal -1 binary64))
#s(approx (- (* im (+ 1/2 (* -1/6 im))) 1) (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
#s(approx (- (* im (+ 1/2 (* -1/6 im))) 1) (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
#s(approx (* im (+ 1/2 (* -1/6 im))) (*.f64 #s(literal 1/2 binary64) im))
#s(approx (* im (+ 1/2 (* -1/6 im))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))))
#s(approx (+ 1/2 (* -1/6 im)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im)))
#s(approx (* -1/6 im) (*.f64 #s(literal -1/6 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 (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (- (* im (+ 1/2 (* -1/6 im))) 1) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (- (* im (+ 1/2 (* -1/6 im))) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64))))
#s(approx (- (* im (+ 1/2 (* -1/6 im))) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* -1/6 im)) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64))))
#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)) 1/2) (cos re)) (*.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)) 1/2) (*.f64 #s(literal 1/2 binary64) (+.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)))
#s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im))))))
#s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) im))) im))))))
#s(approx (- (* im (+ 1/2 (* -1/6 im))) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) im)) #s(literal 1/6 binary64))))
#s(approx (+ 1/2 (* -1/6 im)) (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
re
@0
((* (cosh im) (cos re)) (cosh im) im (cos re) (+ 1 (* -1/2 (pow re 2))) 1 (* -1/2 (pow re 2)) -1/2 (pow re 2) re 2 (* (* (+ (exp (neg im)) (exp im)) 1/2) (cos re)) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) 1/2 (cos re) (+ (* (* re re) -1/2) 1) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (sqrt (* (* re re) (* re re))))) (* -1/2 (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (* im (- (* im (+ 1/2 (* -1/6 im))) 1)) (- (* im (+ 1/2 (* -1/6 im))) 1) (* im (+ 1/2 (* -1/6 im))) (+ 1/2 (* -1/6 im)) (* -1/6 im) -1/6 (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (exp (* (log re) 2)))) (* -1/2 (exp (* (log re) 2))) (exp (* (log re) 2)) (* (log re) 2) (log re))
18.0ms
re
@inf
((* (cosh im) (cos re)) (cosh im) im (cos re) (+ 1 (* -1/2 (pow re 2))) 1 (* -1/2 (pow re 2)) -1/2 (pow re 2) re 2 (* (* (+ (exp (neg im)) (exp im)) 1/2) (cos re)) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) 1/2 (cos re) (+ (* (* re re) -1/2) 1) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (sqrt (* (* re re) (* re re))))) (* -1/2 (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (* im (- (* im (+ 1/2 (* -1/6 im))) 1)) (- (* im (+ 1/2 (* -1/6 im))) 1) (* im (+ 1/2 (* -1/6 im))) (+ 1/2 (* -1/6 im)) (* -1/6 im) -1/6 (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (exp (* (log re) 2)))) (* -1/2 (exp (* (log re) 2))) (exp (* (log re) 2)) (* (log re) 2) (log re))
9.0ms
re
@-inf
((* (cosh im) (cos re)) (cosh im) im (cos re) (+ 1 (* -1/2 (pow re 2))) 1 (* -1/2 (pow re 2)) -1/2 (pow re 2) re 2 (* (* (+ (exp (neg im)) (exp im)) 1/2) (cos re)) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) 1/2 (cos re) (+ (* (* re re) -1/2) 1) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (sqrt (* (* re re) (* re re))))) (* -1/2 (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (* im (- (* im (+ 1/2 (* -1/6 im))) 1)) (- (* im (+ 1/2 (* -1/6 im))) 1) (* im (+ 1/2 (* -1/6 im))) (+ 1/2 (* -1/6 im)) (* -1/6 im) -1/6 (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (exp (* (log re) 2)))) (* -1/2 (exp (* (log re) 2))) (exp (* (log re) 2)) (* (log re) 2) (log re))
3.0ms
im
@-inf
((* (cosh im) (cos re)) (cosh im) im (cos re) (+ 1 (* -1/2 (pow re 2))) 1 (* -1/2 (pow re 2)) -1/2 (pow re 2) re 2 (* (* (+ (exp (neg im)) (exp im)) 1/2) (cos re)) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) 1/2 (cos re) (+ (* (* re re) -1/2) 1) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (sqrt (* (* re re) (* re re))))) (* -1/2 (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (* im (- (* im (+ 1/2 (* -1/6 im))) 1)) (- (* im (+ 1/2 (* -1/6 im))) 1) (* im (+ 1/2 (* -1/6 im))) (+ 1/2 (* -1/6 im)) (* -1/6 im) -1/6 (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (exp (* (log re) 2)))) (* -1/2 (exp (* (log re) 2))) (exp (* (log re) 2)) (* (log re) 2) (log re))
3.0ms
im
@inf
((* (cosh im) (cos re)) (cosh im) im (cos re) (+ 1 (* -1/2 (pow re 2))) 1 (* -1/2 (pow re 2)) -1/2 (pow re 2) re 2 (* (* (+ (exp (neg im)) (exp im)) 1/2) (cos re)) (* (+ (exp (neg im)) (exp im)) 1/2) (+ (exp (neg im)) (exp im)) 1/2 (cos re) (+ (* (* re re) -1/2) 1) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (sqrt (* (* re re) (* re re))))) (* -1/2 (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (* im (- (* im (+ 1/2 (* -1/6 im))) 1)) (- (* im (+ 1/2 (* -1/6 im))) 1) (* im (+ 1/2 (* -1/6 im))) (+ 1/2 (* -1/6 im)) (* -1/6 im) -1/6 (exp im) (+ 1 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ 1 (* -1/2 (exp (* (log re) 2)))) (* -1/2 (exp (* (log re) 2))) (exp (* (log re) 2)) (* (log re) 2) (log re))

rewrite261.0ms (4.7%)

Memory
33.5MiB live, 349.8MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052409
084354
1367342
21216342
34989342
08284324
Stop Event
iter-limit
node-limit
iter-limit
Counts
46 → 1 493
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(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#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 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 re re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))) #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) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(*.f64 (*.f64 re re) (*.f64 re re))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
#s(approx (exp (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)))))
(+.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))))
(*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
(-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 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)
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(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 -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 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.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 (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 #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 (*.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)))))
(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 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.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 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 im im)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))))) #s(literal -4 binary64))
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(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(*.f64 #s(literal 1 binary64) (log.f64 re))
(/.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal -2 binary64))
(/.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 re)))
(fma.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 re) #s(literal 1/2 binary64) (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 re) #s(literal 1 binary64) (*.f64 (log.f64 re) #s(literal 0 binary64)))
(fma.f64 (log.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (log.f64 re) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 (log.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 re) (*.f64 (log.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 re) #s(literal 0 binary64))
(+.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)) (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(+.f64 (log.f64 re) (*.f64 (log.f64 re) #s(literal 0 binary64)))
(+.f64 (log.f64 re) #s(literal 0 binary64))
(log.f64 re)

eval203.0ms (3.7%)

Memory
-2.1MiB live, 156.8MiB allocated; 62ms collecting garbage
Compiler

Compiled 11 630 to 5 166 computations (55.6% saved)

prune50.0ms (0.9%)

Memory
-41.6MiB live, 57.1MiB allocated; 11ms collecting garbage
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New8836889
Fresh257
Picked415
Done044
Total88916905
Accuracy
100.0%
Counts
905 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
31.6%
(*.f64 (+.f64 #s(approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.f64 im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
35.6%
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
50.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
35.6%
(*.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)))
35.6%
(*.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)))
30.8%
(*.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)))
100.0%
(*.f64 (cosh.f64 im) (cos.f64 re))
65.8%
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
65.8%
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re (/.f64 #s(literal 1 binary64) re))))))
65.8%
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))))
0.0%
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 re) re) re)) (sqrt.f64 (neg.f64 re)))))))
66.8%
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
31.6%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (E.f64) (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
33.6%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))))
15.6%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Compiler

Compiled 473 to 424 computations (10.4% saved)

regimes41.0ms (0.8%)

Memory
28.5MiB live, 74.8MiB allocated; 3ms collecting garbage
Counts
27 → 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)))
(*.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(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(approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.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 (neg.f64 im)) #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 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (E.f64) (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re (/.f64 #s(literal 1 binary64) re))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 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) (pow.f64 re #s(literal 2 binary64)))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))))
(*.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 #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 (neg.f64 re)) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #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) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 re) re) re)) (sqrt.f64 (neg.f64 re)))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 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)))))))))
(*.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 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 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

6 calls:

8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
im
7.0ms
re
7.0ms
(cos.f64 re)
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
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 23 to 28 computations (-21.7% saved)

regimes41.0ms (0.7%)

Memory
-22.9MiB live, 68.6MiB allocated; 5ms collecting garbage
Counts
25 → 3
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)))
(*.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(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(approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.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 (neg.f64 im)) #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 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (E.f64) (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re (/.f64 #s(literal 1 binary64) re))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 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) (pow.f64 re #s(literal 2 binary64)))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))))
(*.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 #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 (neg.f64 re)) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #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) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 re) re) re)) (sqrt.f64 (neg.f64 re)))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 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)))))))))
(*.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 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 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)))
Calls

6 calls:

8.0ms
re
7.0ms
im
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
87.1%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
82.1%3(cos.f64 re)
82.1%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.6%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.5%2re
89.0%3im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes34.0ms (0.6%)

Memory
10.4MiB live, 61.1MiB allocated; 7ms collecting garbage
Counts
24 → 2
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)))
(*.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(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(approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.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 (neg.f64 im)) #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 #s(literal 1/2 binary64) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (E.f64) (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re (/.f64 #s(literal 1 binary64) re))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(approx (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 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) (pow.f64 re #s(literal 2 binary64)))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))))
(*.f64 (cosh.f64 im) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))))
(*.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 #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 (neg.f64 re)) #s(literal 2 binary64))))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #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) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 re) re) re)) (sqrt.f64 (neg.f64 re)))))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 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)))))))))
(*.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 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 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)))
Calls

5 calls:

10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
im
6.0ms
(cos.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
80.4%2(cos.f64 re)
80.4%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
66.8%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
66.8%1im
80.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes8.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
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)))
(*.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(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(approx (exp im) (-.f64 im #s(literal -1 binary64))) (exp.f64 (neg.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 (neg.f64 im)) #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(literal 1/2 binary64)) #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)))
Calls

4 calls:

2.0ms
re
2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
69.0%2re
74.1%2(cos.f64 re)
74.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
74.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes7.0ms (0.1%)

Memory
-34.2MiB live, 12.9MiB allocated; 2ms collecting garbage
Counts
2 → 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)))
(*.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)))
Calls

5 calls:

2.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
1.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
66.8%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
66.8%1re
66.8%1(cos.f64 re)
66.8%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
66.8%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes6.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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)))
Calls

6 calls:

1.0ms
im
1.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
30.8%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
30.8%1re
30.8%1(cos.f64 re)
30.8%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
30.8%1im
30.8%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999309
1.0
0.0ms
-inf
-0.9998923359380139
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0401038237635304
0.07020003398154566
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0401038237635304
0.07020003398154566
Compiler

Compiled 13 to 15 computations (-15.4% saved)

derivations170.0ms (3.1%)

Memory
32.7MiB live, 78.9MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 58 to 42 computations (27.6% saved)

preprocess54.0ms (1%)

Memory
-32.2MiB live, 108.1MiB allocated; 15ms collecting garbage
Remove

(abs im)

(abs re)

Compiler

Compiled 536 to 500 computations (6.7% saved)

end0.0ms (0%)

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

Profiling

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