math.exp on complex, real part

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample812.0ms (30%)

Memory
-4.8MiB live, 1 382.3MiB allocated; 186ms collecting garbage
Samples
581.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 332.0ms
ival-cos: 221.0ms (66.6% of total)
ival-exp: 69.0ms (20.8% of total)
ival-mult!: 40.0ms (12.1% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain60.0ms (2.2%)

Memory
5.7MiB live, 147.6MiB allocated; 9ms 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
30.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 11.0ms (64.9% of total)
ival-exp: 4.0ms (23.6% of total)
ival-mult!: 2.0ms (11.8% of total)
adjust: 0.0ms (0% of total)

preprocess26.0ms (1%)

Memory
-1.5MiB live, 52.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

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

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series9.0ms (0.3%)

Memory
-31.7MiB live, 15.7MiB allocated; 4ms 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
5.0ms
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)
0.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite147.0ms (5.4%)

Memory
10.8MiB live, 198.3MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval4.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 481 to 134 computations (72.1% saved)

prune5.0ms (0.2%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms 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
75.4%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
66.4%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
67.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
62.4%
(*.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))
48.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
48.1%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
76.1%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 177 to 143 computations (19.2% saved)

series17.0ms (0.6%)

Memory
-2.7MiB live, 44.7MiB allocated; 3ms collecting garbage
Counts
23 → 70
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
(cosh.f64 re)
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 re))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (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 (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp 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 (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
re
@inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (cosh re))
3.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (cosh re))
3.0ms
re
@0
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (cosh re))
2.0ms
im
@inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (cosh re))
2.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (cosh re))

rewrite156.0ms (5.8%)

Memory
1.1MiB live, 236.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02551407
02721265
114741213
084931157
Stop Event
iter-limit
node-limit
iter-limit
Counts
93 → 227
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
(cosh.f64 re)
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(hole binary64 (+ 1 (* re (+ 1/2 (* 1/6 re))))))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 re) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 re))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (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 (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp 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 (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
Outputs
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (exp.f64 re))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (exp.f64 (neg.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 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(-.f64 (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (-.f64 (sinh.f64 re) (cosh.f64 re))) (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (-.f64 (sinh.f64 re) (cosh.f64 re))))
(exp.f64 re)
(+.f64 (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re))))) (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re))))))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(+.f64 (sinh.f64 re) (cosh.f64 re))
re
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (cos.f64 im))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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))))
(/.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))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 im im) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 im im) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))
(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))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))
(+.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(literal 1/2 binary64)
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (exp.f64 (neg.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 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(-.f64 (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (-.f64 (sinh.f64 re) (cosh.f64 re))) (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (-.f64 (sinh.f64 re) (cosh.f64 re))))
(exp.f64 re)
(+.f64 (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re))))) (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re))))))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (cos.f64 im))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (+ (sinh re) (cosh 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 (* (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) #s(literal 1 binary64))
#s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 re) 1/2) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (cos.f64 im))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (+ (sinh re) (cosh 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 (* (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) #s(literal 1 binary64))
#s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (sinh re) (cosh 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 (sinh re) re)
#s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
#s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (cosh re) #s(literal 1 binary64))
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ (sinh re) (cosh 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 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (*.f64 re re)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (+.f64 (+.f64 (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 (* (+ (sinh re) (cosh re)) (cos im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (cos.f64 im)))
#s(approx (+ (sinh re) (cosh re)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (sinh re) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (cosh re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (exp.f64 re))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (+ (sinh re) (cosh 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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (*.f64 (*.f64 im im) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -1/720 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 im im)))

eval34.0ms (1.3%)

Memory
-20.5MiB live, 81.7MiB allocated; 8ms collecting garbage
Compiler

Compiled 5 926 to 1 000 computations (83.1% saved)

prune16.0ms (0.6%)

Memory
-7.0MiB live, 40.4MiB allocated; 3ms collecting garbage
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New25013263
Fresh213
Picked145
Done011
Total25319272
Accuracy
100.0%
Counts
272 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
42.1%
(*.f64 #s(approx (+ (sinh re) (cosh 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))))
33.9%
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
32.0%
(*.f64 #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
67.4%
(*.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))
45.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
46.4%
(*.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)))
62.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
48.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
48.1%
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
51.5%
#s(approx (* (exp re) (cos im)) (+.f64 (sinh.f64 re) (cosh.f64 re)))
76.1%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
41.9%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
31.1%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
30.5%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
33.4%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
36.6%
#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))))
Compiler

Compiled 563 to 408 computations (27.5% saved)

series16.0ms (0.6%)

Memory
-5.1MiB live, 42.4MiB allocated; 2ms collecting garbage
Counts
35 → 93
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(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)))
(fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#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 (*.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)
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 (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh 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) (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 (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp 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 (* (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 (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))))))
#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 (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* (* im im) 1/24) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (- (* (+ (* -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 (+ (* (* 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 (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* (+ (* -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
5.0ms
im
@inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (* (+ (sinh re) (cosh re)) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (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) (+ (* (- (* (+ (* -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)
3.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (* (+ (sinh re) (cosh re)) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (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) (+ (* (- (* (+ (* -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)
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) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (* (+ (sinh re) (cosh re)) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (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) (+ (* (- (* (+ (* -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)
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) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (* (+ (sinh re) (cosh re)) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (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) (+ (* (- (* (+ (* -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)
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) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (* (+ (sinh re) (cosh re)) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (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) (+ (* (- (* (+ (* -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)

rewrite162.0ms (6%)

Memory
13.8MiB live, 300.5MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02972187
03372008
115871960
081891918
Stop Event
iter-limit
node-limit
iter-limit
Counts
128 → 324
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(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)))
(fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#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 (*.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(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 (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh 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) (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 (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp 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 (* (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 (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))))))
#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 (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* (* im im) 1/24) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (- (* (+ (* -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 (+ (* (* 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 (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
Outputs
(*.f64 (cos.f64 im) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (+ (sinh re) (cosh 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 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 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 re (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64))
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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 (+ (* (* 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 (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (- (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (- (* (* im im) 1/24) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 im im)))
#s(approx (+ (* (- (* (+ (* -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 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 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 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 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)))

eval61.0ms (2.2%)

Memory
1.7MiB live, 146.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 15 976 to 1 974 computations (87.6% saved)

prune18.0ms (0.7%)

Memory
1.9MiB live, 49.2MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New4297436
Fresh369
Picked325
Done055
Total43520455
Accuracy
100.0%
Counts
455 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
42.1%
(*.f64 #s(approx (+ (sinh re) (cosh 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))))
48.1%
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
33.9%
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
13.2%
(*.f64 #s(approx (+ (sinh re) (cosh 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)))))
67.4%
(*.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))
45.4%
(*.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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
46.4%
(*.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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
62.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
48.1%
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
51.5%
#s(approx (* (exp re) (cos im)) (+.f64 (sinh.f64 re) (cosh.f64 re)))
76.1%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
41.9%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
31.1%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
30.5%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
36.6%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
36.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
32.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Compiler

Compiled 645 to 472 computations (26.8% saved)

series14.0ms (0.5%)

Memory
-13.9MiB live, 33.3MiB allocated; 3ms collecting garbage
Counts
30 → 89
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (+.f64 (sinh.f64 re) (cosh.f64 re)))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
re
(cosh.f64 re)
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
(*.f64 im 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(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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(literal 1/2 binary64)
#s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx re #s(hole binary64 re))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh 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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (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 (+ (* (+ (* (+ (* 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 (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (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 im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -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)))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
im
@inf
((* (exp re) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (+ 1 re) 1 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im 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) 1/6 1/2 (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (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))
2.0ms
im
@-inf
((* (exp re) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (+ 1 re) 1 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im 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) 1/6 1/2 (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (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))
2.0ms
re
@inf
((* (exp re) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (+ 1 re) 1 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im 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) 1/6 1/2 (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (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))
2.0ms
re
@-inf
((* (exp re) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (+ 1 re) 1 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im 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) 1/6 1/2 (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (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))
1.0ms
im
@0
((* (exp re) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (* (exp re) (cos im)) (+ (sinh re) (cosh re)) (+ 1 re) 1 (* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im 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) 1/6 1/2 (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (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))

rewrite167.0ms (6.2%)

Memory
21.3MiB live, 309.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03052064
03211900
117031846
083381742
Stop Event
iter-limit
node-limit
iter-limit
Counts
119 → 231
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (+.f64 (sinh.f64 re) (cosh.f64 re)))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(sinh.f64 re)
re
(cosh.f64 re)
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
(*.f64 im 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(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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(literal 1/2 binary64)
#s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx re #s(hole binary64 re))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh 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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (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 (+ (* (+ (* (+ (* 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 (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (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 im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -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)))))))
Outputs
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (exp.f64 re))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
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(exp.f64 re)
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#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/720 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* im im) -1/2) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (- (* (+ (* -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))))

eval43.0ms (1.6%)

Memory
-26.1MiB live, 113.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 13 824 to 1 156 computations (91.6% saved)

prune21.0ms (0.8%)

Memory
5.3MiB live, 58.5MiB allocated; 4ms collecting garbage
Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New3355340
Fresh088
Picked235
Done077
Total33723360
Accuracy
100.0%
Counts
360 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
42.1%
(*.f64 #s(approx (+ (sinh re) (cosh 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))))
48.1%
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
33.9%
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
13.2%
(*.f64 #s(approx (+ (sinh re) (cosh 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)))))
67.4%
(*.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))
46.4%
(*.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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
46.2%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
62.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
45.0%
(*.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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
45.9%
(*.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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
48.1%
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
51.6%
#s(approx (* (exp re) (cos im)) (+.f64 #s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re)))
76.1%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
41.9%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
31.1%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
3.5%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
30.5%
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
36.6%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
36.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
32.0%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Compiler

Compiled 1 198 to 500 computations (58.3% saved)

regimes46.0ms (1.7%)

Memory
14.5MiB live, 108.5MiB allocated; 5ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) (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 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (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)) (+.f64 #s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re)))
#s(approx (* (exp re) (cos im)) (+.f64 (sinh.f64 re) (cosh.f64 re)))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

11.0ms
re
9.0ms
im
8.0ms
(cos.f64 im)
8.0ms
(exp.f64 re)
7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
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)

regimes40.0ms (1.5%)

Memory
-8.0MiB live, 89.5MiB allocated; 3ms collecting garbage
Counts
30 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) (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 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (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)) (+.f64 #s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re)))
#s(approx (* (exp re) (cos im)) (+.f64 (sinh.f64 re) (cosh.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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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))) (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)) (+.f64 #s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re)))
Calls

5 calls:

9.0ms
re
8.0ms
(cos.f64 im)
8.0ms
im
6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
86.7%2(cos.f64 im)
91.6%2(exp.f64 re)
99.7%5(*.f64 (exp.f64 re) (cos.f64 im))
97.0%4re
85.0%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Counts
28 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) (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 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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))) (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

1 calls:

6.0ms
(*.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)

regimes9.0ms (0.3%)

Memory
-24.6MiB live, 22.5MiB allocated; 2ms collecting garbage
Counts
27 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) (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 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
Outputs
(*.f64 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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))) (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:

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

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.3%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Counts
25 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) (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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.3%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.3%)

Memory
-28.7MiB live, 18.5MiB allocated; 2ms collecting garbage
Counts
22 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
98.8%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes30.0ms (1.1%)

Memory
36.1MiB live, 83.3MiB allocated; 2ms collecting garbage
Counts
21 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 #s(approx (+ (sinh re) (cosh 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) #s(literal 1 binary64)))
Calls

5 calls:

6.0ms
re
6.0ms
im
6.0ms
(exp.f64 re)
5.0ms
(cos.f64 im)
5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
57.7%2im
57.4%2(cos.f64 im)
70.7%3(exp.f64 re)
73.5%4re
76.9%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes17.0ms (0.6%)

Memory
-3.0MiB live, 47.3MiB allocated; 3ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
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 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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

3 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms
re
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
54.1%2(exp.f64 re)
57.7%4re
61.0%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.2%)

Memory
-33.6MiB live, 13.5MiB allocated; 2ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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))))
Outputs
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
60.6%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #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 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #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 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (+ (sinh re) (cosh 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:

4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
58.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (+ (sinh re) (cosh 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 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
57.8%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.3%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (+ (sinh re) (cosh 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 #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) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
im
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
47.9%2im
57.5%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes13.0ms (0.5%)

Memory
-15.9MiB live, 31.7MiB allocated; 1ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (+ (sinh re) (cosh 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 (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Calls

4 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms
re
3.0ms
(cos.f64 im)
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
49.6%2(exp.f64 re)
53.9%4re
50.2%3(cos.f64 im)
53.5%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes11.0ms (0.4%)

Memory
-12.6MiB live, 34.1MiB allocated; 1ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (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 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
Calls

5 calls:

3.0ms
(cos.f64 im)
2.0ms
im
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
41.9%1im
45.7%2(cos.f64 im)
41.9%1(exp.f64 re)
41.9%1re
45.9%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.3%)

Memory
29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
Calls

5 calls:

2.0ms
im
2.0ms
re
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
34.0%2re
32.0%1im
34.0%2(exp.f64 re)
34.9%2(cos.f64 im)
35.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes24.0ms (0.9%)

Memory
-21.0MiB live, 27.9MiB allocated; 23ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) (+.f64 #s(literal 1 binary64) re)))
Calls

5 calls:

18.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
im
2.0ms
re
1.0ms
(cos.f64 im)
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
31.1%1im
31.1%1(exp.f64 re)
31.1%1re
31.1%1(cos.f64 im)
31.1%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes24.0ms (0.9%)

Memory
-14.4MiB live, 22.6MiB allocated; 19ms collecting garbage
Accuracy

Total -17.7b remaining (-39.9%)

Threshold costs -17.7b (-39.9%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(approx (+ 1 re) re)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (sinh re) (cosh re)) #s(literal 1 binary64)))
Calls

5 calls:

1.0ms
im
1.0ms
re
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
30.5%1(*.f64 (exp.f64 re) (cos.f64 im))
30.5%1(exp.f64 re)
30.5%1re
30.5%1(cos.f64 im)
30.5%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999949565
1.0
0.0ms
0.0
0.05109097856328322
0.0ms
-0.06101609423328538
0.0
0.0ms
-inf
-0.9984207689955774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999949565
1.0
0.0ms
0.0
0.05109097856328322
0.0ms
-0.06101609423328538
0.0
0.0ms
-inf
-0.9984207689955774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9967564588462552
0.9990808388962854
0.0ms
0.0
0.05109097856328322
0.0ms
-0.06101609423328538
0.0
0.0ms
-inf
-0.9984207689955774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9967564588462552
0.9990808388962854
0.0ms
0.0
0.05109097856328322
0.0ms
-0.06101609423328538
0.0
0.0ms
-inf
-0.9984207689955774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9967564588462552
0.9990808388962854
0.0ms
0.0
0.05109097856328322
0.0ms
-0.06101609423328538
0.0
0.0ms
-inf
-0.9984207689955774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9967564588462552
0.9990808388962854
0.0ms
0.0
0.05109097856328322
0.0ms
-0.06101609423328538
0.0
0.0ms
-inf
-0.9984207689955774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.05109097856328322
0.0ms
-inf
-0.9984207689955774
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
0.0
0.05109097856328322
0.0ms
-inf
-0.9984207689955774
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.05109097856328322
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.05109097856328322
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
0.05109097856328322
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
0.05109097856328322
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.05109097856328322
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.05109097856328322
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations521.0ms (19.2%)

Memory
-10.4MiB live, 614.3MiB allocated; 112ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 313 to 142 computations (89.2% saved)

preprocess122.0ms (4.5%)

Memory
1.9MiB live, 190.1MiB allocated; 50ms collecting garbage
Remove

(abs im)

Compiler

Compiled 5 262 to 1 674 computations (68.2% saved)

end0.0ms (0%)

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

Profiling

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