math.exp on complex, real part

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

Compiled 7 to 7 computations (0% saved)

sample893.0ms (27.8%)

Memory
-15.8MiB live, 1 223.8MiB allocated; 359ms collecting garbage
Samples
676.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 353.0ms
ival-cos: 219.0ms (62% of total)
ival-exp: 95.0ms (26.9% of total)
ival-mult!: 38.0ms (10.8% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess42.0ms (1.3%)

Memory
-24.1MiB live, 29.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01634
16032
224532
3134332
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)

series4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
5 → 18
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) (* -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 (* -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))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms
re
@inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
im
@inf
((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms
im
@0
((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite213.0ms (6.6%)

Memory
26.1MiB live, 160.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086265
088264
1653253
07847231
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 47
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) (* -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 (* -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))
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 (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 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.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)))))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(-.f64 (cosh.f64 re) (neg.f64 (sinh.f64 re)))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(sin.f64 (+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (sin.f64 im) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (fabs.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 im) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im) (*.f64 (*.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
#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)) (*.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 im im) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) im) im) im) im)))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx im im)

eval4.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 282 to 155 computations (45% saved)

prune5.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New35742
Fresh000
Picked011
Done000
Total35843
Accuracy
100.0%
Counts
43 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.4%
(*.f64 (/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
59.5%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
63.0%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
65.9%
(*.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))
65.9%
#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)))
56.0%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
55.0%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 161 to 149 computations (7.5% saved)

series53.0ms (1.6%)

Memory
-27.0MiB live, 26.8MiB allocated; 9ms collecting garbage
Counts
25 → 55
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(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))))
(exp.f64 re)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (cos im))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* 1/2 (* re (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* re (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (cos im) re)) (* -1/2 (cos im)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* 1/24 (* (pow im 2) (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/24 (+ 1 (* 1/2 re)))))))))))
#s(approx (cos im) #s(hole binary64 (+ 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) #s(hole binary64 (pow im 2)))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* (cos im) (+ 1 (* 1/2 re)))))
#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 (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Calls

6 calls:

TimeVariablePointExpression
43.0ms
im
@inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms
im
@-inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms
im
@0
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms
re
@-inf
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms
re
@0
((* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)

rewrite237.0ms (7.4%)

Memory
1.1MiB live, 245.3MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621267
02881219
120961217
084021172
Stop Event
iter-limit
node-limit
iter-limit
Counts
80 → 275
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(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))))
(exp.f64 re)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (cos im))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#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 (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* 1/2 (* re (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* re (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (cos im) re)) (* -1/2 (cos im)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* 1/24 (* (pow im 2) (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/24 (+ 1 (* 1/2 re)))))))))))
#s(approx (cos im) #s(hole binary64 (+ 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) #s(hole binary64 (pow im 2)))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* (cos im) (+ 1 (* 1/2 re)))))
#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 (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Outputs
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re) (cos.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))) (cos.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (neg.f64 (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (fma.f64 (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))) (*.f64 (cos.f64 im) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (cos.f64 im))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)) (neg.f64 (cos.f64 im)))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))))
(-.f64 (cos.f64 im) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) re))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 re re) re) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(-.f64 #s(literal 1 binary64) (neg.f64 re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))) (/.f64 (*.f64 (*.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)))
#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx re re)
#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 (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (*.f64 (*.f64 re re) (cos.f64 im)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (*.f64 re re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 im) (*.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) re))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (/.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))) re) re))
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))) re)) re))) (*.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (neg.f64 (*.f64 (fma.f64 (cos.f64 im) #s(literal -1/2 binary64) (/.f64 (neg.f64 (cos.f64 im)) re)) re)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))) re)) re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 im im))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/720 binary64)) (*.f64 im im))) #s(literal 1/24 binary64)) (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (fma.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 (fma.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) (*.f64 im im))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/24 (* im im)) -1/2) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 re #s(literal -1 binary64)) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (-.f64 re #s(literal -1 binary64))) #s(literal 1/24 binary64) (*.f64 (-.f64 re #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (-.f64 re #s(literal -1 binary64))) #s(literal -1/720 binary64) (*.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 1/24 binary64))) (*.f64 (-.f64 re #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (cos.f64 im) re) (cos.f64 im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))
#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 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im im))))
#s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))

eval36.0ms (1.1%)

Memory
24.8MiB live, 114.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 3 476 to 1 363 computations (60.8% saved)

prune29.0ms (0.9%)

Memory
-26.3MiB live, 32.5MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New28912301
Fresh112
Picked235
Done011
Total29217309
Accuracy
100.0%
Counts
309 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
59.5%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
63.0%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
23.2%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
24.6%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
65.9%
(*.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))
38.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
33.3%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
31.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
56.1%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
31.8%
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 re #s(literal -1 binary64))))
65.5%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
56.0%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
55.9%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)))
31.3%
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
55.0%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
32.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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))))
Compiler

Compiled 392 to 378 computations (3.6% saved)

series32.0ms (1%)

Memory
-17.4MiB live, 27.2MiB allocated; 5ms collecting garbage
Counts
33 → 47
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(exp.f64 re)
#s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) im)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)))
(*.f64 (cos.f64 im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal -1 binary64) 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 (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (/ 1 re)))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (/ (+ 1 re) re)))
#s(approx (/ -1 re) #s(hole binary64 (/ -1 re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (+ 1 (/ 1 re))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) 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 (* -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) #s(hole binary64 (pow im 2)))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 im) #s(hole binary64 (* 1/24 im)))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (* re (+ 1 (/ 1 re))))) (* re (+ 1 (/ 1 re))))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1/2 (* re (+ 1 (/ 1 re)))) (* 1/24 (* (pow im 2) (* re (+ 1 (/ 1 re))))))))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1/2 (* re (+ 1 (/ 1 re)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (* re (+ 1 (/ 1 re))))) (* 1/24 (* re (+ 1 (/ 1 re)))))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (* re (* (cos im) (+ 1 (/ 1 re))))))
Calls

6 calls:

TimeVariablePointExpression
22.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* 1/24 im) im) -1/2) (* im im)) 1) (+ (* (* 1/24 im) im) -1/2) (* 1/24 im) (* (exp re) (cos im)) (* (cos im) (* (- 1 (/ -1 re)) re)) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re))
2.0ms
im
@inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* 1/24 im) im) -1/2) (* im im)) 1) (+ (* (* 1/24 im) im) -1/2) (* 1/24 im) (* (exp re) (cos im)) (* (cos im) (* (- 1 (/ -1 re)) re)) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re))
2.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* 1/24 im) im) -1/2) (* im im)) 1) (+ (* (* 1/24 im) im) -1/2) (* 1/24 im) (* (exp re) (cos im)) (* (cos im) (* (- 1 (/ -1 re)) re)) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re))
2.0ms
re
@inf
((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* 1/24 im) im) -1/2) (* im im)) 1) (+ (* (* 1/24 im) im) -1/2) (* 1/24 im) (* (exp re) (cos im)) (* (cos im) (* (- 1 (/ -1 re)) re)) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re))
2.0ms
re
@0
((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* 1/24 im) im) -1/2) (* im im)) 1) (+ (* (* 1/24 im) im) -1/2) (* 1/24 im) (* (exp re) (cos im)) (* (cos im) (* (- 1 (/ -1 re)) re)) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re))

rewrite170.0ms (5.3%)

Memory
70.2MiB live, 331.8MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071009
0242943
11468921
08123887
Stop Event
iter-limit
node-limit
iter-limit
Counts
80 → 386
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(exp.f64 re)
#s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) im)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)))
(*.f64 (cos.f64 im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal -1 binary64) 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 (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (/ 1 re)))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (/ (+ 1 re) re)))
#s(approx (/ -1 re) #s(hole binary64 (/ -1 re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (+ 1 (/ 1 re))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) 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 (* -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) #s(hole binary64 (pow im 2)))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 im) #s(hole binary64 (* 1/24 im)))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (* re (+ 1 (/ 1 re))))) (* re (+ 1 (/ 1 re))))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1/2 (* re (+ 1 (/ 1 re)))) (* 1/24 (* (pow im 2) (* re (+ 1 (/ 1 re))))))))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1/2 (* re (+ 1 (/ 1 re)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (* re (+ 1 (/ 1 re))))) (* 1/24 (* re (+ 1 (/ 1 re)))))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) #s(hole binary64 (* re (* (cos im) (+ 1 (/ 1 re))))))
Outputs
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im)))) (+.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (fma.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (cos.f64 im) re)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (neg.f64 (*.f64 (cos.f64 im) re))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64))) (+.f64 (cos.f64 im) (neg.f64 (*.f64 (cos.f64 im) re))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))) (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im)))
(-.f64 (cos.f64 im) (neg.f64 (*.f64 (cos.f64 im) re)))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))) (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(*.f64 re (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)))
(/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 re re (*.f64 #s(literal 1 binary64) (neg.f64 re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) re))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 re re) re) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(-.f64 #s(literal 1 binary64) (neg.f64 re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))) (/.f64 (*.f64 (*.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) re) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) re))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) re))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) re) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) re))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 re #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 re #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) (neg.f64 re))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 re re) re)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 re re) re))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)))))
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) re) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 re re) re)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) re) re) (/.f64 #s(literal -1 binary64) re))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) re)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) re))
(pow.f64 (/.f64 re #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 re) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 re #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 re)))
(/.f64 #s(literal -1 binary64) re)
(/.f64 #s(literal 1 binary64) (/.f64 re #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) (cos.f64 im)) (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 (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re))
#s(approx (- 1 (/ -1 re)) (/.f64 (-.f64 re #s(literal -1 binary64)) re))
#s(approx (/ -1 re) (/.f64 #s(literal -1 binary64) re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) (*.f64 (/.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))) re) re))
#s(approx (- 1 (/ -1 re)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))) re)) re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) im) im) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (fma.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 (fma.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) (*.f64 im im))
#s(approx (+ (* 1/24 (* im im)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/24 (* im im)) -1/2) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* 1/24 im) (*.f64 #s(literal 1/24 binary64) im))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) im) im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))) #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#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 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))
#s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im im))))
#s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im))
#s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im im)))
#s(approx (* (cos im) (* (- 1 (/ -1 re)) re)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) (cos.f64 im)) re))

eval49.0ms (1.5%)

Memory
-21.2MiB live, 127.1MiB allocated; 28ms collecting garbage
Compiler

Compiled 3 709 to 1 610 computations (56.6% saved)

prune22.0ms (0.7%)

Memory
9.8MiB live, 56.0MiB allocated; 4ms collecting garbage
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New34210352
Fresh088
Picked325
Done044
Total34524369
Accuracy
100.0%
Counts
369 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.0%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
23.2%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
24.6%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
65.9%
(*.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))
38.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
36.5%
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
31.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
31.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
32.6%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
9.4%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))))
16.6%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
10.9%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
33.2%
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
31.0%
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
33.3%
(*.f64 #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
56.1%
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
55.8%
#s(approx (* (exp re) (cos im)) (*.f64 (*.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) re))
31.8%
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 re #s(literal -1 binary64))))
65.5%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
56.0%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
31.3%
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
55.0%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
32.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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))))
Compiler

Compiled 653 to 627 computations (4% saved)

series90.0ms (2.8%)

Memory
-2.4MiB live, 143.4MiB allocated; 42ms collecting garbage
Counts
40 → 60
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 (cos.f64 im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)))
(cos.f64 im)
im
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(-.f64 #s(literal 1 binary64) (*.f64 re re))
#s(literal 1 binary64)
(*.f64 re re)
re
(-.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#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)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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)))
(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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (fma.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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(log.f64 im)
#s(literal 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 (/ (- 1 (* re re)) (- 1 re)) #s(hole binary64 1))
#s(approx (/ (- 1 (* re re)) (- 1 re)) #s(hole binary64 (+ 1 re)))
#s(approx (- 1 (* re re)) #s(hole binary64 (+ 1 (* -1 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (- 1 re) #s(hole binary64 (+ 1 (* -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 (/ -1 re)) #s(hole binary64 (/ 1 re)))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (/ (+ 1 re) re)))
#s(approx (/ -1 re) #s(hole binary64 (/ -1 re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (/ (- 1 (* re re)) (- 1 re)) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (- 1 (* re re)) #s(hole binary64 (* -1 (pow re 2))))
#s(approx (- 1 (* re re)) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1))))
#s(approx (- 1 re) #s(hole binary64 (* -1 re)))
#s(approx (- 1 re) #s(hole binary64 (* re (- (/ 1 re) 1))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (+ 1 (/ 1 re))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (- 1 re) #s(hole binary64 (* -1 (* re (- 1 (/ 1 re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (/ (- 1 (pow re 2)) (- 1 re))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (- (+ (* (pow im 2) (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (* 1/24 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (- (+ (* (pow im 2) (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (* (pow im 2) (+ (* -1/720 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (* 1/24 (/ (- 1 (pow re 2)) (- 1 re))))))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))))
#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) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #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) #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 (* (log im) 2) #s(hole binary64 (* 2 (log im))))
#s(approx (log im) #s(hole binary64 (log im)))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (/ (* (cos im) (- 1 (pow re 2))) (- 1 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (* (log im) 2) #s(hole binary64 (* -2 (log (/ 1 im)))))
#s(approx (log im) #s(hole binary64 (* -1 (log (/ 1 im)))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
im
@0
((* (exp re) (cos im)) (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (cos im) im (/ (- 1 (* re re)) (- 1 re)) (- 1 (* re re)) 1 (* re re) re (- 1 re) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re) (cos im) (+ (* (* im im) -1/2) 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) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 (* (exp re) (cos im)) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
23.0ms
re
@0
((* (exp re) (cos im)) (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (cos im) im (/ (- 1 (* re re)) (- 1 re)) (- 1 (* re re)) 1 (* re re) re (- 1 re) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re) (cos im) (+ (* (* im im) -1/2) 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) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 (* (exp re) (cos im)) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
17.0ms
im
@inf
((* (exp re) (cos im)) (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (cos im) im (/ (- 1 (* re re)) (- 1 re)) (- 1 (* re re)) 1 (* re re) re (- 1 re) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re) (cos im) (+ (* (* im im) -1/2) 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) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 (* (exp re) (cos im)) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
10.0ms
im
@-inf
((* (exp re) (cos im)) (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (cos im) im (/ (- 1 (* re re)) (- 1 re)) (- 1 (* re re)) 1 (* re re) re (- 1 re) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re) (cos im) (+ (* (* im im) -1/2) 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) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 (* (exp re) (cos im)) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
2.0ms
re
@inf
((* (exp re) (cos im)) (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (cos im) im (/ (- 1 (* re re)) (- 1 re)) (- 1 (* re re)) 1 (* re re) re (- 1 re) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (* (- 1 (/ -1 re)) re) (- 1 (/ -1 re)) (/ -1 re) (cos im) (+ (* (* im im) -1/2) 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) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 (* (exp re) (cos im)) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)

rewrite202.0ms (6.3%)

Memory
-15.3MiB live, 359.7MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561394
02971167
117161166
090081134
Stop Event
iter-limit
node-limit
iter-limit
Counts
100 → 640
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 (cos.f64 im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)))
(cos.f64 im)
im
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(-.f64 #s(literal 1 binary64) (*.f64 re re))
#s(literal 1 binary64)
(*.f64 re re)
re
(-.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#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)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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)))
(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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (fma.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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(log.f64 im)
#s(literal 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 (/ (- 1 (* re re)) (- 1 re)) #s(hole binary64 1))
#s(approx (/ (- 1 (* re re)) (- 1 re)) #s(hole binary64 (+ 1 re)))
#s(approx (- 1 (* re re)) #s(hole binary64 (+ 1 (* -1 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (- 1 re) #s(hole binary64 (+ 1 (* -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 (/ -1 re)) #s(hole binary64 (/ 1 re)))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (/ (+ 1 re) re)))
#s(approx (/ -1 re) #s(hole binary64 (/ -1 re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (/ (- 1 (* re re)) (- 1 re)) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (- 1 (* re re)) #s(hole binary64 (* -1 (pow re 2))))
#s(approx (- 1 (* re re)) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1))))
#s(approx (- 1 re) #s(hole binary64 (* -1 re)))
#s(approx (- 1 re) #s(hole binary64 (* re (- (/ 1 re) 1))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- 1 (/ -1 re)) #s(hole binary64 (+ 1 (/ 1 re))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (- 1 re) #s(hole binary64 (* -1 (* re (- 1 (/ 1 re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (/ (- 1 (pow re 2)) (- 1 re))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (- (+ (* (pow im 2) (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (* 1/24 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (- (+ (* (pow im 2) (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (* (pow im 2) (+ (* -1/720 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (* 1/24 (/ (- 1 (pow re 2)) (- 1 re))))))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))))
#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) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #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) #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 (* (log im) 2) #s(hole binary64 (* 2 (log im))))
#s(approx (log im) #s(hole binary64 (log im)))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) #s(hole binary64 (/ (* (cos im) (- 1 (pow re 2))) (- 1 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (* (log im) 2) #s(hole binary64 (* -2 (log (/ 1 im)))))
#s(approx (log im) #s(hole binary64 (* -1 (log (/ 1 im)))))
Outputs
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) (/.f64 (cos.f64 im) #s(literal 1 binary64)))
(*.f64 (/.f64 (cos.f64 im) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))) (cos.f64 im))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (fma.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (neg.f64 re) (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (cos.f64 im) re)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (neg.f64 (*.f64 (cos.f64 im) re))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im)) (-.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im))))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))) (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im)))
(-.f64 (cos.f64 im) (neg.f64 (*.f64 (cos.f64 im) re)))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))) (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(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 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re re) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 re re) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)
(*.f64 re (/.f64 (-.f64 re #s(literal -1 binary64)) re))
(pow.f64 (/.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 (*.f64 re re) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 re (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))) (fma.f64 (*.f64 re #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re (/.f64 #s(literal 1 binary64) re)) (*.f64 re (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re #s(literal 1 binary64)) (*.f64 re (/.f64 #s(literal 1 binary64) re))))))
(/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re))) (pow.f64 (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re))) (fma.f64 (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (*.f64 re re))) (+.f64 #s(literal 1 binary64) (fma.f64 re re (*.f64 #s(literal 1 binary64) (neg.f64 re)))))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) re))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re)) (neg.f64 (*.f64 re re)))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re)) (neg.f64 (-.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re)) (*.f64 re re))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re)) (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re)) (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) re))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) (neg.f64 (*.f64 re re)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) (*.f64 re re))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re))) (-.f64 #s(literal 1 binary64) re)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) re))) (*.f64 (-.f64 #s(literal 1 binary64) re) (neg.f64 (*.f64 re re)))) (*.f64 (-.f64 #s(literal 1 binary64) re) (neg.f64 (-.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re))) (*.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re))) (*.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) re) (/.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re re)) (neg.f64 (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 re re))) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 re re))) (-.f64 #s(literal 1 binary64) re)))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 im))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im)))
(fabs.f64 (neg.f64 (*.f64 im im)))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 im))
(/.f64 (+.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (fma.f64 (log.f64 im) (log.f64 im) (-.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 (log.f64 im) (log.f64 im)))))
(fma.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64) (log.f64 im))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (log.f64 im))
(+.f64 (log.f64 (neg.f64 im)) (log.f64 (neg.f64 im)))
(+.f64 (log.f64 im) (log.f64 im))
(log.f64 (*.f64 im im))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
#s(literal 2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) re) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (/ (- 1 (* re re)) (- 1 re)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* re re)) (- 1 re)) (-.f64 re #s(literal -1 binary64)))
#s(approx (- 1 (* re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re)))
#s(approx (* re re) (*.f64 re re))
#s(approx re re)
#s(approx (- 1 re) (-.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re))
#s(approx (- 1 (/ -1 re)) (/.f64 (-.f64 re #s(literal -1 binary64)) re))
#s(approx (/ -1 re) (/.f64 #s(literal -1 binary64) re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (*.f64 (/.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))) re) re))
#s(approx (/ (- 1 (* re re)) (- 1 re)) (-.f64 re #s(literal -1 binary64)))
#s(approx (- 1 (* re re)) (neg.f64 (*.f64 re re)))
#s(approx (- 1 (* re re)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re re)))
#s(approx (- 1 re) (neg.f64 re))
#s(approx (- 1 re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re))
#s(approx (exp re) (exp.f64 re))
#s(approx (- 1 (/ -1 re)) (/.f64 (-.f64 re #s(literal -1 binary64)) re))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (*.f64 (neg.f64 re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))) re))))
#s(approx (- 1 re) (*.f64 (neg.f64 re) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/720 binary64)) (exp.f64 re) (*.f64 #s(literal 1/24 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (fma.f64 (*.f64 (*.f64 im im) (-.f64 re #s(literal -1 binary64))) #s(literal -1/2 binary64) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (-.f64 re #s(literal -1 binary64))) #s(literal 1/24 binary64) (*.f64 (-.f64 re #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (-.f64 re #s(literal -1 binary64))) #s(literal -1/720 binary64) (*.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 1/24 binary64))) (*.f64 (-.f64 re #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im) (-.f64 re #s(literal -1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (fma.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 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (* im im) -1/2) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#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) (fma.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) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)))
#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 (* (log im) 2) (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(approx (log im) (log.f64 im))
#s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (*.f64 im im))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (-.f64 (-.f64 (+.f64 (pow.f64 im #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (*.f64 im im))))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im im))))
#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 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (*.f64 im im)))
#s(approx (* (log im) 2) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))
#s(approx (log im) (log.f64 im))

eval58.0ms (1.8%)

Memory
0.9MiB live, 147.0MiB allocated; 15ms collecting garbage
Compiler

Compiled 5 594 to 2 446 computations (56.3% saved)

prune24.0ms (0.7%)

Memory
14.0MiB live, 60.2MiB allocated; 2ms collecting garbage
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New45311464
Fresh6713
Picked415
Done156
Total46424488
Accuracy
100.0%
Counts
488 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
63.0%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
23.2%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
24.6%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
65.9%
(*.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))
38.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
9.1%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
31.1%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
16.6%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
10.9%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
10.9%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
15.6%
(*.f64 #s(approx (exp re) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
28.7%
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
65.5%
#s(approx (* (exp re) (cos im)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im)) (-.f64 #s(literal 1 binary64) re)))
55.8%
#s(approx (* (exp re) (cos im)) (*.f64 (*.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) re))
31.8%
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 re #s(literal -1 binary64))))
56.0%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
31.3%
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
55.0%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
30.4%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
32.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
32.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
28.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
17.1%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
Compiler

Compiled 701 to 554 computations (21% saved)

regimes84.0ms (2.6%)

Memory
-31.0MiB live, 120.0MiB allocated; 17ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (*.f64 (*.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im)) (-.f64 #s(literal 1 binary64) re)))
#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)))
(*.f64 (/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

24.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
12.0ms
im
10.0ms
re
10.0ms
(cos.f64 im)
7.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1(cos.f64 im)
100.0%1(exp.f64 re)
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1re
100.0%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes74.0ms (2.3%)

Memory
3.6MiB live, 93.8MiB allocated; 6ms collecting garbage
Counts
35 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (*.f64 (*.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #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 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Calls

5 calls:

25.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms
re
9.0ms
im
8.0ms
(cos.f64 im)
6.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
85.1%2(cos.f64 im)
90.3%3(exp.f64 re)
95.9%5(*.f64 (exp.f64 re) (cos.f64 im))
93.8%4re
85.1%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Counts
34 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (*.f64 (*.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
95.7%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes19.0ms (0.6%)

Memory
-15.5MiB live, 36.0MiB allocated; 4ms collecting garbage
Counts
29 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Calls

2 calls:

11.0ms
re
6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
91.9%4re
95.3%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes42.0ms (1.3%)

Memory
-8.0MiB live, 84.2MiB allocated; 4ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (*.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Calls

5 calls:

13.0ms
re
7.0ms
im
7.0ms
(cos.f64 im)
6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
66.7%2(cos.f64 im)
65.8%2im
63.0%1(exp.f64 re)
65.3%2re
71.4%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes22.0ms (0.7%)

Memory
2.9MiB live, 48.9MiB allocated; 3ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.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) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
Calls

3 calls:

6.0ms
im
6.0ms
(cos.f64 im)
5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
65.8%2im
66.5%3(cos.f64 im)
63.0%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes23.0ms (0.7%)

Memory
2.4MiB live, 54.9MiB allocated; 4ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) 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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Calls

5 calls:

7.0ms
(exp.f64 re)
4.0ms
im
4.0ms
re
4.0ms
(cos.f64 im)
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
56.9%3(exp.f64 re)
58.8%3(*.f64 (exp.f64 re) (cos.f64 im))
46.2%3(cos.f64 im)
56.9%3re
46.9%3im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes4.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) im) im)) (*.f64 im im) #s(literal 1 binary64))))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
58.3%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes3.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
Outputs
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
57.9%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes20.0ms (0.6%)

Memory
-13.3MiB live, 26.6MiB allocated; 11ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/720 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Calls

3 calls:

14.0ms
re
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
47.5%4re
45.1%3(exp.f64 re)
50.2%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.3%)

Memory
29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Counts
7 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
re
2.0ms
im
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
43.9%3re
36.0%2(cos.f64 im)
32.5%1im
47.4%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes20.0ms (0.6%)

Memory
-28.2MiB live, 10.3MiB allocated; 16ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) 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) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
40.3%3(exp.f64 re)
44.0%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
Calls

2 calls:

2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
38.9%3re
39.6%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes6.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (- 1 (* re re)) (- 1 re))) (-.f64 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
30.4%1im
30.4%1(cos.f64 im)
30.4%1re
30.4%1(exp.f64 re)
32.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
re
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
30.4%1re
30.4%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
0.0ms
-0.07339703964608359
-0.0
0.0ms
-inf
-0.9995857243960519
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch16.0ms (0.5%)

Memory
-40.1MiB live, 2.3MiB allocated; 12ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
0.0ms
-0.07339703964608359
-0.0
0.0ms
-inf
-0.9995857243960519
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
0.0ms
-0.07339703964608359
-0.0
0.0ms
-inf
-0.9995857243960519
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch17.0ms (0.5%)

Memory
32.1MiB live, 32.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.8112217703953634e+181
3.966795982110983e+190
Samples
10.0ms144×0valid
Compiler

Compiled 314 to 316 computations (-0.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 5.0ms (71% of total)
ival-exp: 1.0ms (14.2% of total)
ival-mult!: 1.0ms (14.2% of total)
adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999991666177598
0.999999882873542
0.0ms
0.0
0.030269705895683625
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
0.0ms
-0.07339703964608359
-0.0
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
0.9987865710919145
0.9999985450773323
0.0ms
0.0
0.030269705895683625
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
0.030269705895683625
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.030269705895683625
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations530.0ms (16.5%)

Memory
-29.0MiB live, 431.1MiB allocated; 178ms collecting garbage
Stop Event
fuel
Compiler

Compiled 232 to 127 computations (45.3% saved)

preprocess142.0ms (4.4%)

Memory
-8.5MiB live, 220.7MiB allocated; 34ms collecting garbage
Remove

(abs im)

Compiler

Compiled 1 545 to 1 248 computations (19.2% saved)

end0.0ms (0%)

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

Profiling

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