math.exp on complex, real part

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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 7 to 7 computations (0% saved)

sample782.0ms (40.2%)

Memory
-6.8MiB live, 1 089.8MiB allocated; 125ms collecting garbage
Samples
563.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 386.0ms
ival-cos: 218.0ms (56.5% of total)
ival-exp: 111.0ms (28.8% of total)
ival-mult: 52.0ms (13.5% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain61.0ms (3.1%)

Memory
23.1MiB live, 118.0MiB allocated; 2ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (exp.f64 re) (cos.f64 im))
00-0-(cos.f64 im)
00-0-re
00-0-(exp.f64 re)
00-0-im
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
32.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 12.0ms (62.1% of total)
ival-exp: 4.0ms (20.7% of total)
ival-mult: 3.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess133.0ms (6.8%)

Memory
15.0MiB live, 158.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
15134
213832
341732
4162932
055
085
1195
2395
3865
43255
525585
085295
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
Symmetry

(abs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

series5.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
5 → 21
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 (cos im)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms
re
@inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms
im
@0
((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms
re
@0
((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite155.0ms (8%)

Memory
-31.2MiB live, 211.3MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089282
091281
1532270
05122250
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 41
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 (cos im)))
Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (cos.f64 im) (sinh.f64 re)))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 re)
re
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (cos im) (cos.f64 im))

eval4.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 481 to 134 computations (72.1% saved)

prune11.0ms (0.5%)

Memory
-24.7MiB live, 22.8MiB allocated; 2ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done000
Total39342
Accuracy
100.0%
Counts
42 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
65.9%
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
Compiler

Compiled 36 to 25 computations (30.6% saved)

series27.0ms (1.4%)

Memory
2.9MiB live, 54.9MiB allocated; 2ms collecting garbage
Counts
14 → 86
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
(fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im))
(*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(cos.f64 im)
im
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(cosh.f64 re)
(*.f64 (sinh.f64 re) (cos.f64 im))
(sinh.f64 re)
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (cos im))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* 1/2 (cos im))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* 1/6 (* (pow re 3) (cos im)))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (* 1/6 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* 1/6 (* re (cos im)))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* re (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 (* 1/6 re)))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 (* re (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ (cos im) re)) (* -1/2 (cos im))) re)) (* 1/6 (cos im))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* -1 (* re (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (* re (- (* -1/2 (* re (+ 1/2 (* 1/6 re)))) 1/2)) 1/2))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* re (- (* -1/2 (* re (+ 1/2 (* 1/6 re)))) 1/2)) (* (pow im 2) (+ 1/24 (* re (+ 1/24 (* 1/24 (* re (+ 1/2 (* 1/6 re))))))))) 1/2))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* re (- (* -1/2 (* re (+ 1/2 (* 1/6 re)))) 1/2)) (* (pow im 2) (+ 1/24 (+ (* re (+ 1/24 (* 1/24 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (- (* re (- (* -1/720 (* re (+ 1/2 (* 1/6 re)))) 1/720)) 1/720)))))) 1/2))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1/2 (* 1/6 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1/2 (* 1/6 re)))) 1/2))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1/2 (* 1/6 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1/2 (* 1/6 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1/2 (* 1/6 re))))))) 1/2))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1/2 (* 1/6 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1/2 (* 1/6 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1/2 (* 1/6 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1/2 (* 1/6 re)))) 1/720)))))) 1/2))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ 1/2 (* 1/6 re))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/6 re)))) (* 1/6 re)))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ 1/2 (+ (* 1/6 re) (* (pow im 2) (+ (* -1/2 (+ 1/2 (* 1/6 re))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/6 re))))))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ 1/2 (+ (* 1/6 re) (* (pow im 2) (+ (* -1/2 (+ 1/2 (* 1/6 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1/2 (* 1/6 re)))) (* 1/24 (+ 1/2 (* 1/6 re)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (* (cos im) (+ 1/2 (* 1/6 re)))))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1/2 (* 1/6 re)))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* (cos im) (+ 1/2 (* 1/6 re)))))
#s(approx (cos im) #s(hole binary64 (cos im)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
im
@-inf
((* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (* (cos im) (+ (* 1/6 re) 1/2)) (cos im) im (+ (* 1/6 re) 1/2) 1/6 re 1/2 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))
5.0ms
im
@inf
((* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (* (cos im) (+ (* 1/6 re) 1/2)) (cos im) im (+ (* 1/6 re) 1/2) 1/6 re 1/2 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))
5.0ms
re
@inf
((* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (* (cos im) (+ (* 1/6 re) 1/2)) (cos im) im (+ (* 1/6 re) 1/2) 1/6 re 1/2 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))
4.0ms
re
@-inf
((* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (* (cos im) (+ (* 1/6 re) 1/2)) (cos im) im (+ (* 1/6 re) 1/2) 1/6 re 1/2 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))
3.0ms
im
@0
((* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (* (cos im) (+ (* 1/6 re) 1/2)) (cos im) im (+ (* 1/6 re) 1/2) 1/6 re 1/2 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))

rewrite236.0ms (12.1%)

Memory
40.4MiB live, 316.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03972381
04132195
126622125
0107442024
Stop Event
iter limit
node limit
iter limit
Counts
100 → 205
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
(fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im))
(*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(cos.f64 im)
im
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(cosh.f64 re)
(*.f64 (sinh.f64 re) (cos.f64 im))
(sinh.f64 re)
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (cos im))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* 1/2 (cos im))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* 1/6 (* (pow re 3) (cos im)))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (* 1/6 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* 1/6 (* re (cos im)))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* re (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 (* 1/6 re)))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 (* re (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ (cos im) re)) (* -1/2 (cos im))) re)) (* 1/6 (cos im))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* -1 (* re (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (* re (- (* -1/2 (* re (+ 1/2 (* 1/6 re)))) 1/2)) 1/2))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* re (- (* -1/2 (* re (+ 1/2 (* 1/6 re)))) 1/2)) (* (pow im 2) (+ 1/24 (* re (+ 1/24 (* 1/24 (* re (+ 1/2 (* 1/6 re))))))))) 1/2))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* re (- (* -1/2 (* re (+ 1/2 (* 1/6 re)))) 1/2)) (* (pow im 2) (+ 1/24 (+ (* re (+ 1/24 (* 1/24 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (- (* re (- (* -1/720 (* re (+ 1/2 (* 1/6 re)))) 1/720)) 1/720)))))) 1/2))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1/2 (* 1/6 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1/2 (* 1/6 re)))) 1/2))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1/2 (* 1/6 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1/2 (* 1/6 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1/2 (* 1/6 re))))))) 1/2))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1/2 (* 1/6 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1/2 (* 1/6 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1/2 (* 1/6 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1/2 (* 1/6 re)))) 1/720)))))) 1/2))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ 1/2 (* 1/6 re))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/6 re)))) (* 1/6 re)))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ 1/2 (+ (* 1/6 re) (* (pow im 2) (+ (* -1/2 (+ 1/2 (* 1/6 re))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/6 re))))))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (+ 1/2 (+ (* 1/6 re) (* (pow im 2) (+ (* -1/2 (+ 1/2 (* 1/6 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1/2 (* 1/6 re)))) (* 1/24 (+ 1/2 (* 1/6 re)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (* (cos im) (+ 1/2 (* 1/6 re)))))))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1/2 (* 1/6 re)))))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) #s(hole binary64 (* (cos im) (+ 1/2 (* 1/6 re)))))
#s(approx (cos im) #s(hole binary64 (cos im)))
Outputs
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re (cos.f64 im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im)))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re)))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re (cos.f64 im))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) (cos.f64 im))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im))))
(-.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re))))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re))))))
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im))
(fma.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) (cos.f64 im))
(-.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im))))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im))))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im))))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
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im
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#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
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#s(approx (* (sinh re) (cos im)) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) (cos.f64 im) (cos.f64 im)) re))
#s(approx (* (sinh re) (cos im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) (cos.f64 im) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) (*.f64 re re) (cos.f64 im)) re))
#s(approx (* (sinh re) (cos im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) (cos.f64 im) (*.f64 #s(literal 1/120 binary64) (cos.f64 im))) (*.f64 re re) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) (*.f64 re re) (cos.f64 im)) re))
#s(approx (sinh re) re)
#s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
#s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (cos.f64 im)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (*.f64 (fma.f64 (/.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 im) (fma.f64 (/.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) (*.f64 re re)))) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 im) (+.f64 (fma.f64 (/.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) (*.f64 re re))) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 3 binary64))))) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) (cos.f64 im)))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (*.f64 (fma.f64 (/.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) (*.f64 re re)))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 im) (fma.f64 (/.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) (*.f64 re re)))) (*.f64 re re)))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) (*.f64 (fma.f64 (/.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) re))
#s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re))
#s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)))))
#s(approx (cosh re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))
#s(approx (sinh re) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 im) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 im) re))) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 im) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (/.f64 (cos.f64 im) re)) re))) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 im) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re) (neg.f64 (cos.f64 im))) re))) re))) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 im) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 im) (/.f64 (neg.f64 (cos.f64 im)) re)) re))) (*.f64 re re)))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 im) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 im) re))) re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (exp.f64 re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) re) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) re #s(literal 1/24 binary64)) (*.f64 im im) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) re)) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) re #s(literal 1/24 binary64)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1/720 binary64)) #s(literal 1/720 binary64)) re) #s(literal 1/720 binary64)) (*.f64 im im))) (*.f64 im im) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) re)) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1/720 binary64)) #s(literal 1/720 binary64)) (*.f64 im im))) (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) re)) #s(literal 1/2 binary64)))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) (+.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) (*.f64 im im))))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) (+.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) (*.f64 im im))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 im im))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal -1/1440 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 im im))) (*.f64 im im))))
#s(approx (* (sinh re) (cos im)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)) re (cos.f64 im)))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (cos im) (+ (* 1/6 re) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (cos.f64 im)))
#s(approx (cos im) (cos.f64 im))

eval51.0ms (2.6%)

Memory
-17.0MiB live, 81.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 7 925 to 1 067 computations (86.5% saved)

prune394.0ms (20.2%)

Memory
10.3MiB live, 637.3MiB allocated; 31ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2610261
Fresh000
Picked022
Done011
Total2613264
Accuracy
100.0%
Counts
264 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
65.9%
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
Compiler

Compiled 72 to 44 computations (38.9% saved)

regimes8.0ms (0.4%)

Memory
-31.0MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
(*.f64 (exp.f64 re) (cos.f64 im))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

2.0ms
im
2.0ms
re
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1(cos.f64 im)
100.0%1(exp.f64 re)
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1re
100.0%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.3%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
Outputs
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
Calls

5 calls:

1.0ms
re
1.0ms
im
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
65.9%1(cos.f64 im)
65.9%1(exp.f64 re)
65.9%1(*.f64 (exp.f64 re) (cos.f64 im))
65.9%1re
65.9%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

simplify37.0ms (1.9%)

Memory
-0.6MiB live, 47.1MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01526
12626
24626
39326
433126
5258126
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))

derivations16.0ms (0.8%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 26 to 15 computations (42.3% saved)

preprocess20.0ms (1%)

Memory
-20.9MiB live, 27.2MiB allocated; 3ms collecting garbage
Remove

(abs im)

Compiler

Compiled 82 to 60 computations (26.8% saved)

end0.0ms (0%)

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

Profiling

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