math.exp on complex, real part

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.1s (27.8%)

Memory
10.1MiB live, 828.0MiB allocated; 749ms collecting garbage
Samples
817.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 626.0ms
ival-exp: 354.0ms (56.6% of total)
ival-cos: 203.0ms (32.4% of total)
ival-mult: 64.0ms (10.2% of total)
adjust: 3.0ms (0.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain89.0ms (2.3%)

Memory
3.5MiB live, 105.2MiB allocated; 22ms 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
62.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 20.0ms (71.1% of total)
ival-exp: 4.0ms (14.2% of total)
ival-mult: 3.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess312.0ms (8.2%)

Memory
17.5MiB live, 159.1MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(abs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

series5.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
5 → 21
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 (cos im)))
Calls

6 calls:

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

rewrite182.0ms (4.8%)

Memory
-5.7MiB live, 182.0MiB allocated; 22ms 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))

eval5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 481 to 134 computations (72.1% saved)

prune7.0ms (0.2%)

Memory
-32.7MiB live, 13.6MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New33841
Fresh000
Picked011
Done000
Total33942
Accuracy
100.0%
Counts
42 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.6%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
69.5%
(*.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))
64.7%
(*.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))
51.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
64.7%
#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)))
51.1%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
69.4%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
50.0%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 195 to 153 computations (21.5% saved)

series13.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
23 → 77
Calls
Call 1
Inputs
(*.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)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.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)
(*.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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#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)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 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 (+ (* (+ (* (+ (* 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 (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (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 (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* 1/2 (* re (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* re (+ (* 1/2 (cos im)) (/ (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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (cos im) re)) (* -1/2 (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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* 1/24 (* (pow im 2) (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/24 (+ 1 (* 1/2 re)))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* (cos im) (+ 1 (* 1/2 re)))))
Calls

6 calls:

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

rewrite263.0ms (6.9%)

Memory
11.8MiB live, 242.7MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02791544
03031463
116471459
082721426
Stop Event
iter limit
node limit
iter limit
Counts
100 → 232
Calls
Call 1
Inputs
(*.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)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.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)
(*.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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#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)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 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 (+ (* (+ (* (+ (* 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 (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (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 (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* 1/2 (* re (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* re (+ (* 1/2 (cos im)) (/ (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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (cos im) re)) (* -1/2 (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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* 1/24 (* (pow im 2) (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/24 (+ 1 (* 1/2 re)))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* (cos im) (+ 1 (* 1/2 re)))))
Outputs
(*.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))))
(*.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)))
(/.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))))))
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(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) re)))
#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 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (*.f64 (cos.f64 im) #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 #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 (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 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 (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (cos.f64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (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 (* (+ (* 1/2 re) 1) (cos im)) (cos.f64 im))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (fma.f64 (*.f64 (cos.f64 im) 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 (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (cos.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (*.f64 re re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 im) (*.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.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))) (*.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 im) (/.f64 (neg.f64 (cos.f64 im)) re)) 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64)) (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 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 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))) (*.f64 im im))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))) (*.f64 im im))))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) 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 (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))

eval54.0ms (1.4%)

Memory
-25.7MiB live, 77.7MiB allocated; 28ms collecting garbage
Compiler

Compiled 8 686 to 1 284 computations (85.2% saved)

prune21.0ms (0.5%)

Memory
-5.7MiB live, 41.4MiB allocated; 5ms collecting garbage
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New33213345
Fresh123
Picked055
Done011
Total33321354
Accuracy
100.0%
Counts
354 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
69.5%
(*.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))
40.7%
(*.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 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
42.7%
(*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
40.8%
(*.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) #s(literal 1 binary64)))
64.7%
(*.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))
39.6%
(*.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 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
41.2%
(*.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))))
51.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
31.3%
(*.f64 #s(approx (exp re) (-.f64 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))))
33.0%
(*.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))))
28.6%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
64.7%
#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)))
51.1%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
69.4%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
50.0%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
39.3%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
32.7%
#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))))
30.0%
#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))))
31.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
28.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
Compiler

Compiled 636 to 450 computations (29.2% saved)

series10.0ms (0.3%)

Memory
20.7MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
28 → 79
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (cos im) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 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 (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)))
(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 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 im im))
#s(literal 1/24 binary64)
(*.f64 im im)
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 im im) #s(literal -1/2 binary64) #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)))
(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 (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))
#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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* 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 (- (* 1/24 (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 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 (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 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 (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (- (* 1/24 (* im im)) 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 (* (exp re) (cos im)) (cos im) 1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 (* im im) im (* (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 (cos im) (+ (* (* im im) -1/2) 1) -1/2)
2.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) 1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 (* im im) im (* (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 (cos im) (+ (* (* im im) -1/2) 1) -1/2)
1.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) 1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 (* im im) im (* (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 (cos im) (+ (* (* im im) -1/2) 1) -1/2)
1.0ms
re
@inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) 1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 (* im im) im (* (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 (cos im) (+ (* (* im im) -1/2) 1) -1/2)
1.0ms
im
@0
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) 1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 (* im im) im (* (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 (cos im) (+ (* (* im im) -1/2) 1) -1/2)

rewrite213.0ms (5.6%)

Memory
-9.7MiB live, 172.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02791639
02971556
115541554
082241516
Stop Event
iter limit
node limit
iter limit
Counts
107 → 261
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (cos im) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 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 (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)))
(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 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 im im))
#s(literal 1/24 binary64)
(*.f64 im im)
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 im im) #s(literal -1/2 binary64) #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)))
(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 (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))
#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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* 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 (- (* 1/24 (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 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 (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 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 (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (- (* 1/24 (* im im)) 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
#s(approx (* (exp re) (cos im)) (exp.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 (cosh.f64 re) (sinh.f64 re))
re
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (cos im) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #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 #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 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #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(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 #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 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #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(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #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 #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 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #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(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #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(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #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(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(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #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(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 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #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(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(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #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(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
(*.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) re)
(*.f64 re (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (*.f64 (*.f64 re (pow.f64 re #s(literal -1 binary64))) (*.f64 re (pow.f64 re #s(literal -1 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 re (pow.f64 re #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) (pow.f64 (*.f64 re (pow.f64 re #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 re (pow.f64 re #s(literal -1 binary64))) (*.f64 re (pow.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 re (pow.f64 re #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
#s(literal 1/2 binary64)
#s(approx (* (exp re) (cos im)) #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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
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(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
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(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
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(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))
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(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
#s(literal 1/6 binary64)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
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(/.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))))
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(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))
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(-.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)))
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(+.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)))
#s(literal -1/2 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 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (*.f64 #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (cos.f64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (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 (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 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 (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 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) 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)))
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#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(literal 1 binary64))
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#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 (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (cos.f64 im)))
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#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (+.f64 (/.f64 (cos.f64 im) (*.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re)))
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#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 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) re) 1) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)))
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#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)))
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#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))
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#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)))
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#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 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 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 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 (+ (* (- (* 1/24 (* 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 (- (* 1/24 (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* im im)) 1/2) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* im im)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* im im) (*.f64 im im))
#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 (cos im) (cos.f64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re) (cos.f64 im)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* im im)) 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 (+ (* (- (* 1/24 (* im im)) 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 (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (- (* 1/24 (* im im)) 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 (*.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)))

eval41.0ms (1.1%)

Memory
35.8MiB live, 81.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 10 202 to 1 411 computations (86.2% saved)

prune23.0ms (0.6%)

Memory
-4.6MiB live, 42.2MiB allocated; 3ms collecting garbage
Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New3059314
Fresh3710
Picked145
Done066
Total30926335
Accuracy
100.0%
Counts
335 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
69.5%
(*.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))
40.7%
(*.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 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
12.6%
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
40.8%
(*.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) #s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))))
41.2%
(*.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))))
64.7%
(*.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))
39.6%
(*.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 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
42.1%
(*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
31.3%
(*.f64 #s(approx (exp re) (-.f64 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))))
33.0%
(*.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))))
64.7%
#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)))
51.1%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
69.4%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
50.0%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
39.3%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
14.2%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
28.6%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
14.3%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
32.7%
#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))))
30.0%
#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))))
31.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.6%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
30.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
28.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
Compiler

Compiled 960 to 649 computations (32.4% saved)

series13.0ms (0.3%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
32 → 103
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(cos.f64 im)
im
re
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#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) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 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)
(*.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))))
#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)
#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)
#s(literal 1/24 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 (+ (* (cos im) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#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 -1) #s(hole binary64 1))
#s(approx (- re -1) #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 (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#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 (* 1/6 (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) re) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#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) re) (cos im)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))))
#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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#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) #s(hole binary64 (pow im 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 (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#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 (+ (* (- (* (+ (* -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
3.0ms
im
@inf
((* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (cos im) im re (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* 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) 1/2 (* (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 1/24)
2.0ms
im
@-inf
((* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (cos im) im re (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* 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) 1/2 (* (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 1/24)
2.0ms
re
@-inf
((* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (cos im) im re (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* 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) 1/2 (* (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 1/24)
2.0ms
re
@inf
((* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (cos im) im re (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* 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) 1/2 (* (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 1/24)
1.0ms
im
@0
((* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (cos im) im re (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (* (+ (* 1/2 re) 1) re) 1) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* 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) 1/2 (* (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 1/24)

rewrite234.0ms (6.1%)

Memory
-26.4MiB live, 219.4MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492297
03742232
119652226
080732064
Stop Event
iter limit
node limit
iter limit
Counts
135 → 275
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(cos.f64 im)
im
re
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#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) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 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)
(*.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))))
#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)
#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)
#s(literal 1/24 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 (+ (* (cos im) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#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 -1) #s(hole binary64 1))
#s(approx (- re -1) #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 (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#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 (* 1/6 (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) re) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#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) re) (cos im)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))))
#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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#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) #s(hole binary64 (pow im 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 (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#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 (+ (* (- (* (+ (* -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
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(-.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))) (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))) (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) 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 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
re
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))) (/.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #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) (-.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 (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) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 6 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 im #s(literal 6 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) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 6 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 im #s(literal 6 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 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 6 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 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 6 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)
(*.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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #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))))
#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)))))
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#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 (cos im) (cos.f64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re) (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 (+ (* (- (* (+ (* -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)))

eval54.0ms (1.4%)

Memory
4.0MiB live, 95.4MiB allocated; 16ms collecting garbage
Compiler

Compiled 12 734 to 1 603 computations (87.4% saved)

prune59.0ms (1.5%)

Memory
2.2MiB live, 101.5MiB allocated; 34ms collecting garbage
Pruning

29 alts after pruning (17 fresh and 12 done)

PrunedKeptTotal
New3977404
Fresh11011
Picked325
Done01010
Total40129430
Accuracy
100.0%
Counts
430 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
69.5%
(*.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))
40.7%
(*.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 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
40.8%
(*.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) #s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))))
12.7%
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
64.7%
(*.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))
39.6%
(*.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 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
42.1%
(*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
31.3%
(*.f64 #s(approx (exp re) (-.f64 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))))
33.0%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
14.9%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
9.6%
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
64.7%
#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)))
51.1%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
50.4%
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
69.4%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
50.0%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
39.3%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
14.2%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
28.6%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
14.3%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
3.6%
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
30.0%
#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))))
32.7%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.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)) im) im #s(literal 1 binary64))))
31.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.6%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
30.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
28.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
Compiler

Compiled 1 410 to 572 computations (59.4% saved)

regimes57.0ms (1.5%)

Memory
-8.8MiB live, 80.9MiB allocated; 15ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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 #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)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.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 (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 (exp.f64 re) (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)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

15.0ms
im
13.0ms
(cos.f64 im)
10.0ms
re
8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
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)

regimes65.0ms (1.7%)

Memory
22.1MiB live, 68.9MiB allocated; 2ms collecting garbage
Counts
35 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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 #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)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.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 (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))
Outputs
(*.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 im im) #s(literal -1/2 binary64) #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) (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:

29.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms
im
9.0ms
re
9.0ms
(cos.f64 im)
7.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
84.7%2(cos.f64 im)
92.5%2(exp.f64 re)
99.9%5(*.f64 (exp.f64 re) (cos.f64 im))
98.0%4re
85.5%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes37.0ms (1%)

Memory
-37.2MiB live, 14.4MiB allocated; 11ms collecting garbage
Counts
34 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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 #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)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.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))
Outputs
(*.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 im im) #s(literal -1/2 binary64) #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) (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
99.8%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
33 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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 #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)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.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 im im) #s(literal -1/2 binary64) #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
99.6%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes17.0ms (0.4%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Counts
31 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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 #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)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
Outputs
(*.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 im im) #s(literal -1/2 binary64) #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)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

2 calls:

8.0ms
re
7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
93.1%4re
99.3%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes33.0ms (0.9%)

Memory
-35.5MiB live, 11.9MiB allocated; 2ms collecting garbage
Counts
30 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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 #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))
Outputs
(*.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 im im) #s(literal -1/2 binary64) #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:

7.0ms
(*.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)

regimes37.0ms (1%)

Memory
41.0MiB live, 41.0MiB allocated; 0ms collecting garbage
Counts
29 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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 #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))
Outputs
(*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 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
im
8.0ms
re
7.0ms
(cos.f64 im)
7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
58.8%2(cos.f64 im)
58.8%2im
72.1%3re
72.1%3(exp.f64 re)
78.9%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes53.0ms (1.4%)

Memory
-2.9MiB live, 43.5MiB allocated; 2ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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 #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 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos 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))))
Calls

5 calls:

24.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms
im
7.0ms
re
7.0ms
(cos.f64 im)
6.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
49.4%2(cos.f64 im)
42.7%1im
50.8%3(exp.f64 re)
50.8%3re
56.5%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.2%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 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) #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) #s(approx (+ (* (* im im) -1/2) 1) #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))))
(*.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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 #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 #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 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))) #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) (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 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) 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(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
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #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) (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) #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
54.2%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes19.0ms (0.5%)

Memory
-40.0MiB live, 6.3MiB allocated; 4ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) 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) #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))) #s(approx (cos im) (fma.f64 im (*.f64 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 #s(approx (- (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Calls

1 calls:

18.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
52.7%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.3%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Calls

4 calls:

3.0ms
re
3.0ms
(cos.f64 im)
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
39.3%1(exp.f64 re)
43.6%3re
46.2%2(cos.f64 im)
46.2%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #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 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
45.0%2(cos.f64 im)
45.1%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
Outputs
#s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
Calls

3 calls:

2.0ms
im
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
31.0%1im
36.1%3(cos.f64 im)
44.9%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #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 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
Calls

1 calls:

2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
44.9%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
Calls

3 calls:

2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
39.2%2(exp.f64 re)
39.2%2re
39.2%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes22.0ms (0.6%)

Memory
-32.2MiB live, 17.0MiB allocated; 5ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
Calls

5 calls:

15.0ms
(exp.f64 re)
2.0ms
(cos.f64 im)
2.0ms
re
2.0ms
im
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
28.6%1im
28.6%1(cos.f64 im)
28.6%1re
28.6%1(exp.f64 re)
28.6%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.2%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Accuracy

Total -16.1b remaining (-34.8%)

Threshold costs -16.1b (-34.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ 1 re) re))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #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
28.0%1(cos.f64 im)
28.0%1(*.f64 (exp.f64 re) (cos.f64 im))
28.0%1im
28.0%1(exp.f64 re)
28.0%1re
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999996004
1.0
0.0ms
9.311600158130633e-20
0.05474567597774123
0.0ms
-0.027182968685926838
0.0
0.0ms
-inf
-0.9846539246987753
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999996004
1.0
0.0ms
9.311600158130633e-20
0.05474567597774123
0.0ms
-0.027182968685926838
0.0
0.0ms
-inf
-0.9846539246987753
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999996004
1.0
0.0ms
9.311600158130633e-20
0.05474567597774123
0.0ms
-0.027182968685926838
0.0
0.0ms
-inf
-0.9846539246987753
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999996004
1.0
0.0ms
9.311600158130633e-20
0.05474567597774123
0.0ms
-0.027182968685926838
0.0
0.0ms
-inf
-0.9846539246987753
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999996004
1.0
0.0ms
9.311600158130633e-20
0.05474567597774123
0.0ms
-0.027182968685926838
0.0
0.0ms
-inf
-0.9846539246987753
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9997737175732986
0.9999636356486362
0.0ms
0.0
1.8320358280977096e-77
0.0ms
-0.027182968685926838
0.0
0.0ms
-inf
-0.9846539246987753
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9997737175732986
0.9999636356486362
0.0ms
0.0
1.8320358280977096e-77
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
9.311600158130633e-20
0.05474567597774123
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.8320358280977096e-77
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.8320358280977096e-77
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
9.311600158130633e-20
0.05474567597774123
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000048908846892
+inf
0.0ms
9.311600158130633e-20
0.05474567597774123
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000048908846892
+inf
0.0ms
9.311600158130633e-20
0.05474567597774123
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
1.0000048908846892
+inf
Compiler

Compiled 8 to 10 computations (-25% saved)

simplify58.0ms (1.5%)

Memory
-4.1MiB live, 86.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01321205
11751190
22911180
37281180
428961180
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 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) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 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)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251349453722511/2251799813685248 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))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251349453722511/2251799813685248 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos 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))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #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) (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) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) #s(approx (- re -1) 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 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) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (or (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)))) #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)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 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)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (or (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)))) #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)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (or (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)))))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (or (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re)) #s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (or (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254737393/9007199254740992 binary64)))))) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251349453722511/2251799813685248 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos 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))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #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) (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) #s(literal 1 binary64))))
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) #s(approx (- re -1) 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re)))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))

derivations545.0ms (14.3%)

Memory
-44.4MiB live, 452.6MiB allocated; 229ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 190 to 134 computations (88.7% saved)

preprocess149.0ms (3.9%)

Memory
3.9MiB live, 241.3MiB allocated; 45ms collecting garbage
Compiler

Compiled 4 684 to 1 450 computations (69% saved)

end0.0ms (0%)

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

Profiling

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