math.exp on complex, real part

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample807.0ms (27.7%)

Memory
4.2MiB live, 1 149.2MiB allocated; 194ms collecting garbage
Samples
597.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 304.0ms
ival-cos: 197.0ms (64.7% of total)
ival-exp: 65.0ms (21.4% of total)
ival-mult!: 40.0ms (13.1% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

explain82.0ms (2.8%)

Memory
31.5MiB live, 131.8MiB allocated; 12ms 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
34.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 15.0ms (69.5% of total)
ival-exp: 4.0ms (18.5% of total)
ival-mult!: 2.0ms (9.3% of total)
adjust: 0.0ms (0% of total)

preprocess28.0ms (1%)

Memory
-40.3MiB live, 52.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01634
15134
213832
341732
4162932
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB 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
re
@0
((* (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)

rewrite184.0ms (6.3%)

Memory
-7.2MiB live, 142.3MiB allocated; 27ms 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)))))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.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 (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 456 to 133 computations (70.8% saved)

prune5.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New28836
Fresh000
Picked101
Done000
Total29837
Accuracy
100.0%
Counts
37 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.8%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
66.5%
(*.f64 #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))) (cos.f64 im))
62.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
50.3%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
66.5%
#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)))
50.3%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
75.0%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
49.2%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 198 to 150 computations (24.2% saved)

series36.0ms (1.2%)

Memory
-18.1MiB live, 26.4MiB allocated; 6ms collecting garbage
Counts
23 → 84
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 (exp.f64 re) #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #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))) (cos.f64 im))
#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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#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)))
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 (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#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 (+ (* (+ (* (* (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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#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 (+ (* (+ (* (* (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) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))))
#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) #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 (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 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))))))))
#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 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#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)))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (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)))
3.0ms
im
@0
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (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)))
2.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (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)))
2.0ms
im
@inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (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)))
2.0ms
re
@inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (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)))

rewrite182.0ms (6.2%)

Memory
30.9MiB live, 312.4MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03412110
03651990
121151990
087381940
Stop Event
iter-limit
node-limit
iter-limit
Counts
107 → 253
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 (exp.f64 re) #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #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))) (cos.f64 im))
#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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#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)))
#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 (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#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 (+ (* (+ (* (* (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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#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 (+ (* (+ (* (* (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) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))))
#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) #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 (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 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))))))))
#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 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#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)))))
Outputs
#s(approx (* (exp re) (cos im)) (exp.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)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(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 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(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
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 im im) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 im im) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #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))) (cos.f64 im))
(*.f64 (cos.f64 im) #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 (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)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.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 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) 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))
(fma.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (*.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 #s(literal 1 binary64) (-.f64 (*.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))))
(+.f64 (*.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 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)))
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(/.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))))))
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(+.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)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(fma.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)))
(fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))
(-.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(+.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/6 binary64) re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 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 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp 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 (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#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 (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (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 (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 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)) re) (cos im)) re) (cos im)) (cos.f64 im))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) re (cos.f64 im)))
#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)) (cos.f64 im))
#s(approx (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (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 (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (+.f64 (pow.f64 re #s(literal -3 binary64)) (pow.f64 re #s(literal -2 binary64)))) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 1/6 binary64)) (*.f64 re 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 (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 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) re) 1) re) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) re)) #s(literal 1/6 binary64)) (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) (*.f64 (/.f64 (cos.f64 im) re) #s(literal -1/2 binary64))) (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 (/.f64 (cos.f64 im) re) #s(literal -1/2 binary64))) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp 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) #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 (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 (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1/24 binary64)) re #s(literal 1/24 binary64)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1/24 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #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) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #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 (*.f64 im im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 im im)))
#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)))

eval38.0ms (1.3%)

Memory
10.6MiB live, 103.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 427 to 1 402 computations (85.1% saved)

prune61.0ms (2.1%)

Memory
-14.0MiB live, 32.5MiB allocated; 3ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New28815303
Fresh123
Picked235
Done000
Total29120311
Accuracy
100.0%
Counts
311 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
66.5%
(*.f64 #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))) (cos.f64 im))
41.7%
(*.f64 #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 (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))))
42.8%
(*.f64 #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 (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))))
62.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
38.8%
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
53.0%
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.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)))) (cos.f64 im))
50.3%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
30.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.0%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
50.3%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
75.0%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
49.2%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
43.0%
#s(approx (* (exp re) (cos im)) #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))))
28.1%
#s(approx (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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))))
40.1%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
28.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
30.4%
#s(approx (* (exp re) (cos im)) #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))))
30.5%
#s(approx (* (exp re) (cos im)) #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))))
Compiler

Compiled 818 to 532 computations (35% saved)

series11.0ms (0.4%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Counts
31 → 84
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #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)) (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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (* (exp re) (cos im)) #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 (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)))
(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))
(-.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 im im)
#s(literal 1/24 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
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 (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#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 (+ (* (+ (* (* (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 (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 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 (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#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 (+ (* (+ (* (* (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 (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))))
#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 (* (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) (+ (* 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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (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) (* re (* (cos im) (+ 1/2 (* 1/6 re)))))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
im
@inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 (* im im) 1/24 (* (exp re) (cos im)) (exp re) (- re -1) -1)
2.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 (* im im) 1/24 (* (exp re) (cos im)) (exp re) (- re -1) -1)
1.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 (* im im) 1/24 (* (exp re) (cos im)) (exp re) (- re -1) -1)
1.0ms
re
@inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 (* im im) 1/24 (* (exp re) (cos im)) (exp re) (- re -1) -1)
1.0ms
im
@0
((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 (* im im) 1/24 (* (exp re) (cos im)) (exp re) (- re -1) -1)

rewrite225.0ms (7.7%)

Memory
-32.9MiB live, 306.4MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03212137
03502042
118572040
091541961
Stop Event
iter-limit
node-limit
iter-limit
Counts
115 → 266
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #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)) (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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (* (exp re) (cos im)) #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 (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)))
(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))
(-.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 im im)
#s(literal 1/24 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#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 (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#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 (+ (* (+ (* (* (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 (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 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 (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#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 (+ (* (+ (* (* (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 (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))))
#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 (* (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) (+ (* 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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (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) (* re (* (cos im) (+ 1/2 (* 1/6 re)))))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
Outputs
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 re (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))))
(+.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 re #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))))))
(+.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(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 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(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)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #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)) (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 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (*.f64 (neg.f64 re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.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 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))
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#s(literal 1/24 binary64)
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(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#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 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp 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 (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#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 (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (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 (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 re) 1/2) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
#s(approx re re)
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (cos.f64 im))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) re (cos.f64 im)))
#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 (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (+.f64 (pow.f64 re #s(literal -3 binary64)) (pow.f64 re #s(literal -2 binary64)))) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 1/6 binary64)) (*.f64 re 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 (+ (* (+ (* (* (cos im) (+ (* 1/6 re) 1/2)) re) (cos im)) re) (cos im)) (*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 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 (cos.f64 im) #s(literal 1/6 binary64))) (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 (cos.f64 im) #s(literal 1/6 binary64) (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 (cos.f64 im) #s(literal 1/6 binary64) (+.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 (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) re)) #s(literal 1/6 binary64)) (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) (*.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 (cos.f64 im) #s(literal 1/2 binary64) (/.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 (cos.f64 im) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 im) re) #s(literal -1 binary64) (neg.f64 (cos.f64 im))) re))) re))) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp 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 (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/720 binary64)) (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) #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 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #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) (+ (* 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (cos im) (cos.f64 im))
#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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 im im)))

eval39.0ms (1.3%)

Memory
-7.1MiB live, 91.5MiB allocated; 15ms collecting garbage
Compiler

Compiled 10 578 to 1 550 computations (85.3% saved)

prune33.0ms (1.1%)

Memory
0.0MiB live, 46.6MiB allocated; 5ms collecting garbage
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New2749283
Fresh5712
Picked055
Done033
Total27924303
Accuracy
100.0%
Counts
303 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
66.5%
(*.f64 #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))) (cos.f64 im))
41.7%
(*.f64 #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 (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))))
42.8%
(*.f64 #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 (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))))
62.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
40.6%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
38.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
53.0%
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.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)))) (cos.f64 im))
62.2%
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
50.3%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
32.2%
(*.f64 #s(approx (exp re) (-.f64 re #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))))
30.3%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
50.3%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
75.0%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
49.2%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
43.0%
#s(approx (* (exp re) (cos im)) #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))))
28.1%
#s(approx (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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))))
40.1%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
28.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
30.4%
#s(approx (* (exp re) (cos im)) #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))))
30.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
30.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
29.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Compiler

Compiled 981 to 645 computations (34.3% saved)

series13.0ms (0.4%)

Memory
25.4MiB live, 25.5MiB allocated; 0ms collecting garbage
Counts
38 → 98
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
#s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(-.f64 (*.f64 re re) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal 1 binary64)
(+.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #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 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
#s(literal 1/2 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 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)))
(fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(exp.f64 re)
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
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 re) 1) (+ re -1)) #s(hole binary64 1))
#s(approx (/ (- (* re re) 1) (+ re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (- (* re re) 1) #s(hole binary64 -1))
#s(approx (- (* re re) 1) #s(hole binary64 (- (pow re 2) 1)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (+ re -1) #s(hole binary64 -1))
#s(approx (+ re -1) #s(hole binary64 (- re 1)))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (/ (- (* re re) 1) (+ re -1)) #s(hole binary64 re))
#s(approx (/ (- (* re re) 1) (+ re -1)) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (- (* re re) 1) #s(hole binary64 (pow re 2)))
#s(approx (- (* re re) 1) #s(hole binary64 (* (pow re 2) (- 1 (/ 1 (pow re 2))))))
#s(approx (+ re -1) #s(hole binary64 re))
#s(approx (+ re -1) #s(hole binary64 (* re (- 1 (/ 1 re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#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 (+ re -1) #s(hole binary64 (* -1 (* re (- (/ 1 re) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))))
#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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* (* im im) 1/24) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
im
@inf
((* (exp re) (cos im)) (exp re) (/ (- (* re re) 1) (+ re -1)) (- (* re re) 1) (* re re) re 1 (+ re -1) -1 (cos im) im (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24 (* im im) 1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) -1/2)
2.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) (/ (- (* re re) 1) (+ re -1)) (- (* re re) 1) (* re re) re 1 (+ re -1) -1 (cos im) im (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24 (* im im) 1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) -1/2)
2.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) (/ (- (* re re) 1) (+ re -1)) (- (* re re) 1) (* re re) re 1 (+ re -1) -1 (cos im) im (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24 (* im im) 1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) -1/2)
2.0ms
re
@inf
((* (exp re) (cos im)) (exp re) (/ (- (* re re) 1) (+ re -1)) (- (* re re) 1) (* re re) re 1 (+ re -1) -1 (cos im) im (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24 (* im im) 1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) -1/2)
1.0ms
im
@0
((* (exp re) (cos im)) (exp re) (/ (- (* re re) 1) (+ re -1)) (- (* re re) 1) (* re re) re 1 (+ re -1) -1 (cos im) im (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24 (* im im) 1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) -1/2)

rewrite186.0ms (6.4%)

Memory
13.3MiB live, 246.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02932039
03261980
114791934
080711795
Stop Event
iter-limit
node-limit
iter-limit
Counts
136 → 293
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
#s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(-.f64 (*.f64 re re) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal 1 binary64)
(+.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #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 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
#s(literal 1/2 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 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)))
(fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(exp.f64 re)
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#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 re) 1) (+ re -1)) #s(hole binary64 1))
#s(approx (/ (- (* re re) 1) (+ re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (- (* re re) 1) #s(hole binary64 -1))
#s(approx (- (* re re) 1) #s(hole binary64 (- (pow re 2) 1)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (+ re -1) #s(hole binary64 -1))
#s(approx (+ re -1) #s(hole binary64 (- re 1)))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (/ (- (* re re) 1) (+ re -1)) #s(hole binary64 re))
#s(approx (/ (- (* re re) 1) (+ re -1)) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (- (* re re) 1) #s(hole binary64 (pow re 2)))
#s(approx (- (* re re) 1) #s(hole binary64 (* (pow re 2) (- 1 (/ 1 (pow re 2))))))
#s(approx (+ re -1) #s(hole binary64 re))
#s(approx (+ re -1) #s(hole binary64 (* re (- 1 (/ 1 re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))))
#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 (+ re -1) #s(hole binary64 (* -1 (* re (- (/ 1 re) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))))
#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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* (* im im) 1/24) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Outputs
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re)) (/.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re))) (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) re) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) re) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re)) (pow.f64 (+.f64 #s(literal -1 binary64) re) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) re) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re)) (/.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re)) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) re) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) re) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re)) (pow.f64 (+.f64 #s(literal -1 binary64) re) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) re))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re)) (*.f64 (+.f64 #s(literal -1 binary64) re) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) re) (+.f64 #s(literal -1 binary64) re)))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) re)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) re))
(-.f64 (/.f64 (*.f64 re re) (+.f64 #s(literal -1 binary64) re)) (pow.f64 (+.f64 #s(literal -1 binary64) re) #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 re #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 re re #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (fma.f64 re re #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)) #s(literal -1 binary64))
(fma.f64 (neg.f64 re) (neg.f64 re) #s(literal -1 binary64))
(fma.f64 (fabs.f64 re) (fabs.f64 re) #s(literal -1 binary64))
(fma.f64 re re #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 re re #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1 binary64))))))
(-.f64 (*.f64 re re) #s(literal 1 binary64))
(+.f64 (*.f64 re re) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
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#s(approx (/ (- (* re re) 1) (+ re -1)) re)
#s(approx (/ (- (* re re) 1) (+ re -1)) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (- (* re re) 1) (*.f64 re re))
#s(approx (- (* re re) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))) (*.f64 re re)))
#s(approx (+ re -1) re)
#s(approx (+ re -1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1 binary64))) re))
#s(approx (+ 1 re) re)
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) (pow.f64 re #s(literal -2 binary64))) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (+.f64 (pow.f64 re #s(literal -3 binary64)) (pow.f64 re #s(literal -2 binary64)))) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (*.f64 re re)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) (pow.f64 re #s(literal -2 binary64))) #s(literal 1/6 binary64)) (*.f64 re 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 (+ re -1) (neg.f64 (*.f64 (-.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1 binary64)) re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/720 binary64)) (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) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 (*.f64 im im) #s(literal -1/720 binary64) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (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 (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* im im) 1/24) 1/2) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)))
#s(approx (* (* im im) 1/24) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* (* im im) -1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 im im)))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))
#s(approx (- (* (* im im) 1/24) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 im im)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 im im)))

eval50.0ms (1.7%)

Memory
-1.6MiB live, 99.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 11 194 to 1 628 computations (85.5% saved)

prune41.0ms (1.4%)

Memory
-14.4MiB live, 79.3MiB allocated; 7ms collecting garbage
Pruning

26 alts after pruning (15 fresh and 11 done)

PrunedKeptTotal
New3265331
Fresh11011
Picked235
Done088
Total32926355
Accuracy
100.0%
Counts
355 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
66.5%
(*.f64 #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))) (cos.f64 im))
41.7%
(*.f64 #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 (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))))
42.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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))))
62.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
38.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
40.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
42.4%
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
53.0%
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.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)))) (cos.f64 im))
50.0%
(*.f64 #s(approx (exp re) (/.f64 #s(approx (- (* re re) 1) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
50.3%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
32.2%
(*.f64 #s(approx (exp re) (-.f64 re #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))))
30.3%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
50.3%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
75.0%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
49.2%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
43.0%
#s(approx (* (exp re) (cos im)) #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))))
28.1%
#s(approx (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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))))
40.1%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
3.6%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
28.9%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
30.4%
#s(approx (* (exp re) (cos im)) #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))))
30.3%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
30.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
29.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Compiler

Compiled 1 516 to 603 computations (60.2% saved)

regimes115.0ms (3.9%)

Memory
-36.5MiB live, 135.6MiB allocated; 94ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (/.f64 #s(approx (- (* re re) 1) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
(*.f64 #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))) (cos.f64 im))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.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)))) (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))
Calls

5 calls:

62.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
16.0ms
im
16.0ms
(cos.f64 im)
10.0ms
re
7.0ms
(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)

regimes46.0ms (1.6%)

Memory
24.7MiB live, 118.5MiB allocated; 5ms collecting garbage
Counts
34 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (/.f64 #s(approx (- (* re re) 1) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
(*.f64 #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))) (cos.f64 im))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
Outputs
(*.f64 #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))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #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))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

10.0ms
re
9.0ms
im
9.0ms
(cos.f64 im)
8.0ms
(exp.f64 re)
8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
85.7%2(cos.f64 im)
95.7%3(exp.f64 re)
98.5%4(*.f64 (exp.f64 re) (cos.f64 im))
98.4%4re
82.6%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes20.0ms (0.7%)

Memory
-5.1MiB live, 45.6MiB allocated; 4ms collecting garbage
Counts
32 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (/.f64 #s(approx (- (* re re) 1) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (/.f64 #s(approx (- (* re re) 1) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

2 calls:

9.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms
re
Results
AccuracySegmentsBranch
95.7%3re
100.0%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes10.0ms (0.3%)

Memory
-23.1MiB live, 24.0MiB allocated; 2ms collecting garbage
Counts
31 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
100.0%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.3%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Counts
29 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.9%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.3%)

Memory
-25.8MiB live, 21.3MiB allocated; 2ms collecting garbage
Counts
27 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
Outputs
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.5%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.3%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
26 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Outputs
(*.f64 #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 (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 (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.1%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes38.0ms (1.3%)

Memory
0.7MiB live, 98.1MiB allocated; 5ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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 (* (exp re) (cos im)) (cos.f64 im))
Outputs
(*.f64 #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 (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 (* (exp re) (cos im)) (cos.f64 im))
(*.f64 #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 (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))))
Calls

5 calls:

8.0ms
(exp.f64 re)
8.0ms
(cos.f64 im)
7.0ms
im
7.0ms
re
7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
60.1%2im
60.1%2(cos.f64 im)
64.8%2re
64.8%2(exp.f64 re)
69.0%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes34.0ms (1.2%)

Memory
-10.6MiB live, 83.8MiB allocated; 4ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
(*.f64 #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 (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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)) re #s(literal 1 binary64)) re #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 (* (exp re) (cos 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 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #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 (* (exp re) (cos 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 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #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))))
Outputs
(*.f64 #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 (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 (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
(*.f64 #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 (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))))
Calls

5 calls:

8.0ms
im
7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms
re
6.0ms
(cos.f64 im)
5.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
43.0%1im
47.2%2(cos.f64 im)
44.7%2re
44.7%2(exp.f64 re)
49.1%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
(*.f64 #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 (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))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
(*.f64 #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 (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))))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
48.7%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.4%)

Memory
-15.9MiB live, 31.5MiB allocated; 1ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #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))))
Outputs
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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))))
Calls

2 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms
(cos.f64 im)
Results
AccuracySegmentsBranch
46.8%2(cos.f64 im)
47.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
47.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.3%)

Memory
-26.3MiB live, 23.4MiB allocated; 3ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #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))))
Outputs
(*.f64 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
Calls

2 calls:

5.0ms
(cos.f64 im)
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
46.5%2(cos.f64 im)
46.5%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes7.0ms (0.2%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
Calls

2 calls:

3.0ms
(cos.f64 im)
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
46.1%2(cos.f64 im)
46.2%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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))))
Calls

2 calls:

2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
45.4%2(cos.f64 im)
45.6%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes12.0ms (0.4%)

Memory
-14.4MiB live, 32.9MiB allocated; 2ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Calls

5 calls:

3.0ms
(cos.f64 im)
2.0ms
im
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
40.1%1im
40.1%1re
40.1%1(exp.f64 re)
42.5%2(cos.f64 im)
42.6%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes10.0ms (0.3%)

Memory
-22.0MiB live, 25.4MiB allocated; 2ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
Calls

5 calls:

3.0ms
re
2.0ms
im
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
29.5%1re
29.5%1(exp.f64 re)
29.5%1im
31.9%2(cos.f64 im)
32.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
Calls

3 calls:

2.0ms
im
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
29.5%1im
29.5%1(cos.f64 im)
29.5%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.2%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Accuracy

Total -16.7b remaining (-36.6%)

Threshold costs -16.7b (-36.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ 1 re) re)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
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
28.9%1re
28.9%1(exp.f64 re)
28.9%1(*.f64 (exp.f64 re) (cos.f64 im))
28.9%1(cos.f64 im)
28.9%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999985913
1.0
0.0ms
0.026715109803903982
0.04659135267179868
0.0ms
-0.04821915338738267
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999985913
1.0
0.0ms
0.026715109803903982
0.04659135267179868
0.0ms
-0.04821915338738267
0.0
0.0ms
-inf
-0.9983088722040251
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999985913
1.0
0.0ms
0.026715109803903982
0.04659135267179868
0.0ms
-0.04821915338738267
0.0
0.0ms
-inf
-0.9983088722040251
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999985913
1.0
0.0ms
0.026715109803903982
0.04659135267179868
0.0ms
-0.04821915338738267
0.0
0.0ms
-inf
-0.9983088722040251
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999985913
1.0
0.0ms
0.026715109803903982
0.04659135267179868
0.0ms
-0.04821915338738267
0.0
0.0ms
-inf
-0.9983088722040251
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch2.0ms (0.1%)

Memory
-45.1MiB live, 2.4MiB allocated; 2ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994408351862886
0.999999993099536
0.0ms
0.026715109803903982
0.04659135267179868
0.0ms
-0.04821915338738267
0.0
0.0ms
-inf
-0.9983088722040251
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994408351862886
0.999999993099536
0.0ms
-inf
-0.9983088722040251
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994408351862886
0.999999993099536
0.0ms
-0.04821915338738267
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994408351862886
0.999999993099536
0.0ms
-0.04821915338738267
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026715109803903982
0.04659135267179868
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026715109803903982
0.04659135267179868
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026715109803903982
0.04659135267179868
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026715109803903982
0.04659135267179868
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026715109803903982
0.04659135267179868
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026715109803903982
0.04659135267179868
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026715109803903982
0.04659135267179868
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations419.0ms (14.4%)

Memory
-1.8MiB live, 575.0MiB allocated; 19ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 273 to 136 computations (89.3% saved)

preprocess92.0ms (3.2%)

Memory
39.1MiB live, 229.3MiB allocated; 10ms collecting garbage
Remove

(abs im)

Compiler

Compiled 5 102 to 1 518 computations (70.2% saved)

end0.0ms (0%)

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

Profiling

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